<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://energyeducation.ca/wiki/index.php?action=history&amp;feed=atom&amp;title=Hydraulic_head</id>
	<title>Hydraulic head - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://energyeducation.ca/wiki/index.php?action=history&amp;feed=atom&amp;title=Hydraulic_head"/>
	<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;action=history"/>
	<updated>2026-04-26T12:25:29Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.0</generator>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=10179&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=10179&amp;oldid=prev"/>
		<updated>2021-09-27T00:03:08Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:03, 27 September 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=10178&amp;oldid=prev</id>
		<title>energy&gt;Ethan.boechler at 20:10, 10 September 2021</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=10178&amp;oldid=prev"/>
		<updated>2021-09-10T20:10:40Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:10, 10 September 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done 2018-05-18]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done 2018-05-18]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Translated to French]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[fr:Charge hydraulique]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that measures the amount of mechanical [[energy]] available in [[water]] in a river, stream or even lake. The hydraulic head is equivalent to the water level in a static (non-flowing) water body.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; In its simplest form hydraulic head is a measurement of the height of a static water column above an arbitrary point, usually expressed in [[meter]]s (or [[foot|feet]] in the US). The higher the water level or hydraulic head, the more [[energy]] that the water at a specific location has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that measures the amount of mechanical [[energy]] available in [[water]] in a river, stream or even lake. The hydraulic head is equivalent to the water level in a static (non-flowing) water body.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; In its simplest form hydraulic head is a measurement of the height of a static water column above an arbitrary point, usually expressed in [[meter]]s (or [[foot|feet]] in the US). The higher the water level or hydraulic head, the more [[energy]] that the water at a specific location has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>energy&gt;Ethan.boechler</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=6173&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=6173&amp;oldid=prev"/>
		<updated>2018-05-18T22:53:07Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:53, 18 May 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=6172&amp;oldid=prev</id>
		<title>Jmdonev at 19:57, 11 May 2018</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=6172&amp;oldid=prev"/>
		<updated>2018-05-11T19:57:55Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:57, 11 May 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2017&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;07&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;01&lt;/del&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2018&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;05&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/ins&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that measures the amount of mechanical [[energy]] available in [[water]] in a river, stream or even lake. The hydraulic head is equivalent to the water level in a static (non-flowing) water body.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; In its simplest form hydraulic head is a measurement of the height of a static water column above an arbitrary point, usually expressed in [[meter]]s (or [[foot|feet]] in the US). The higher the water level or hydraulic head, the more [[energy]] that the water at a specific location has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that measures the amount of mechanical [[energy]] available in [[water]] in a river, stream or even lake. The hydraulic head is equivalent to the water level in a static (non-flowing) water body.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; In its simplest form hydraulic head is a measurement of the height of a static water column above an arbitrary point, usually expressed in [[meter]]s (or [[foot|feet]] in the US). The higher the water level or hydraulic head, the more [[energy]] that the water at a specific location has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In a hydroelectric facility, the amount of energy harnessed depends on the difference between the headwater level in the [[hydroelectric reservoir|reservoir]] upstream of the dam and the [[tailwater]] level below the [[hydroelectric dam]]. This is known as the hydraulic head difference and it represents the amount of energy that can be transformed into electricity by the turbines and generators. More detailed calculations show that not only the difference in height of the water determines how much energy can be harnessed, but there are a variety of losses known as head losses. These head losses occur as a result of [[friction]] in pipes. When head losses are accounted for, the actual amount of energy that can be harnessed is reduced. This reduced value for hydraulic head with the losses accounted for is known as the &amp;#039;&amp;#039;&amp;#039;[[effective head]]&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In a hydroelectric facility, the amount of energy harnessed depends on the difference between the headwater level in the [[hydroelectric reservoir|reservoir]] upstream of the dam and the [[tailwater]] level below the [[hydroelectric dam]]. This is known as the hydraulic head difference and it represents the amount of energy that can be transformed into electricity by the turbines and generators. More detailed calculations show that not only the difference in height of the water determines how much energy can be harnessed, but there are a variety of losses known as head losses. These head losses occur as a result of [[friction]] in pipes. When head losses are accounted for, the actual amount of energy that can be harnessed is reduced. This reduced value for hydraulic head with the losses accounted for is known as the &amp;#039;&amp;#039;&amp;#039;[[effective head]]&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The water in the reservoir, which is at a higher altitude has more [[gravitational potential energy]] because it is at a higher vertical position than the [[tail race]]. The energy used to generate electricity by moving the turbines arises from the utilization of gravitational potential energy of the reservoir water as it moves down through the penstocks. The use of [[Bernoulli&#039;s equation]] can help illustrate this process. Overall, hydraulic head is a way to represent the energy of energy of stored a fluid - in this case water - per unit weight.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The water in the reservoir, which is at a higher altitude has more [[gravitational potential energy]] because it is at a higher vertical position than the [[tail race]]. The energy used to generate electricity by moving the turbines arises from the utilization of gravitational potential energy of the reservoir water as it moves down through the penstocks. The use of [[Bernoulli&#039;s equation]] can help illustrate this process. Overall, hydraulic head is a way to represent the energy of energy of stored a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;fluid&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;- in this case water - per unit weight.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:hydroelectricdam.png|400px|framed|center|Figure 1. A labelled diagram of a hydroelectric plant, including the hydraulic head.&amp;lt;ref&amp;gt;Wikimedia Commons. (August 31, 2015). &amp;#039;&amp;#039;Hydroelectric Dam&amp;#039;&amp;#039; [Online]. Available: https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Hydroelectric_dam.svg/2000px-Hydroelectric_dam.svg.png&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:hydroelectricdam.png|400px|framed|center|Figure 1. A labelled diagram of a hydroelectric plant, including the hydraulic head.&amp;lt;ref&amp;gt;Wikimedia Commons. (August 31, 2015). &amp;#039;&amp;#039;Hydroelectric Dam&amp;#039;&amp;#039; [Online]. Available: https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Hydroelectric_dam.svg/2000px-Hydroelectric_dam.svg.png&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l17&quot;&gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;\Delta h&amp;lt;/math&amp;gt; is the hydraulic head difference across the dam or turbine, expressed in meters (m)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;\Delta h&amp;lt;/math&amp;gt; is the hydraulic head difference across the dam or turbine, expressed in meters (m)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;ρ&amp;lt;/math&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;ρ&amp;lt;/math&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the volumetric [[flow rate]] of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the volumetric &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[hydroelectric discharge]] (the &lt;/ins&gt;[[flow rate]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) &lt;/ins&gt;of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=5288&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=5288&amp;oldid=prev"/>
		<updated>2017-08-29T01:46:53Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:46, 29 August 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=5287&amp;oldid=prev</id>
		<title>Jmdonev at 22:35, 16 August 2017</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=5287&amp;oldid=prev"/>
		<updated>2017-08-16T22:35:40Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:35, 16 August 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2016&lt;/del&gt;-01&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-15&lt;/del&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2017-07&lt;/ins&gt;-01]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that measures the amount of mechanical [[energy]] available in [[water]] in a river, stream or even lake. The hydraulic head is equivalent to the water level in a static (non-flowing) water body.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; In its simplest form hydraulic head is a measurement of the height of a static water column above an arbitrary point, usually expressed in [[meter]]s (or [[foot|feet]] in the US). The higher the water level or hydraulic head, the more [[energy]] that the water at a specific location has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that measures the amount of mechanical [[energy]] available in [[water]] in a river, stream or even lake. The hydraulic head is equivalent to the water level in a static (non-flowing) water body.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; In its simplest form hydraulic head is a measurement of the height of a static water column above an arbitrary point, usually expressed in [[meter]]s (or [[foot|feet]] in the US). The higher the water level or hydraulic head, the more [[energy]] that the water at a specific location has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The value for hydraulic head is used in the [[hydroelectric power equation]] to determine the [[available power]] of a [[hydroelectric facility|hydroelectric system]]. It is one of the main components in this equation, represented by:&amp;lt;ref name=boyle/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The value for hydraulic head is used in the [[hydroelectric power equation]] to determine the [[available power]] of a [[hydroelectric facility|hydroelectric system]]. It is one of the main components in this equation, represented by:&amp;lt;ref name=boyle/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P = \rho Q g \Delta h&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P = \rho Q g \Delta h&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; is the amount of [[power]] being calculated, measured in [[joule]]s per [[second]] (J/s) which is also known as a [[watt]] (W)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; is the amount of [[power]] being calculated, measured in [[joule]]s per [[second]] (J/s) which is also known as a [[watt]] (W)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;\Delta h&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; is the hydraulic head difference across the dam or turbine, expressed in meters (m)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;\Delta h&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; is the hydraulic head difference across the dam or turbine, expressed in meters (m)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\rho&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ρ&lt;/ins&gt;&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;Q&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; is the volumetric [[flow rate]] of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;Q&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; is the volumetric [[flow rate]] of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;g&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;g&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that the larger the head difference in the expression above, the more potential mechanical energy the water in the reservoir has.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that the larger the head difference in the expression above, the more potential mechanical energy the water in the reservoir has.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l41&quot;&gt;Line 41:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 41:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The height difference between the water reservoir and the [[tail race]] in a hydroelectric facility is termed the gross head and it determines the maximum amount of power that can be produced.  However, energy losses occur whenever water flows through pipes due to friction and this reduces the actual rate of power production. These losses reduce the overall head and result in a number known as the &amp;#039;&amp;#039;&amp;#039;effective head&amp;#039;&amp;#039;&amp;#039; or net head.  Effective head is equal to the gross head minus the sum of all head losses.&amp;lt;ref name=boyle/&amp;gt; Head losses occur in all hydroelectric facilities, and are classified as major and minor head losses. These hydraulic head losses are measured, calculated, and expressed in the same way hydraulic head is, in the equivalent height of water in meters. In this case, you subtract the amount of power lost through head losses from the overall gross power to get the actual net power one can obtain. The equation can be shown as:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The height difference between the water reservoir and the [[tail race]] in a hydroelectric facility is termed the gross head and it determines the maximum amount of power that can be produced.  However, energy losses occur whenever water flows through pipes due to friction and this reduces the actual rate of power production. These losses reduce the overall head and result in a number known as the &amp;#039;&amp;#039;&amp;#039;effective head&amp;#039;&amp;#039;&amp;#039; or net head.  Effective head is equal to the gross head minus the sum of all head losses.&amp;lt;ref name=boyle/&amp;gt; Head losses occur in all hydroelectric facilities, and are classified as major and minor head losses. These hydraulic head losses are measured, calculated, and expressed in the same way hydraulic head is, in the equivalent height of water in meters. In this case, you subtract the amount of power lost through head losses from the overall gross power to get the actual net power one can obtain. The equation can be shown as:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P_{net} = P_{gross} - P_{loss}&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P_{net} = P_{gross} - P_{loss}&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Types of head losses include:&amp;lt;ref name=&amp;quot;RE2&amp;quot;&amp;gt;The Engineering Toolbox. (August 31, 2015). &amp;#039;&amp;#039;Total Pressure or Head Loss in Pipe or Duct Systems&amp;#039;&amp;#039; [Online]. Available: http://www.engineeringtoolbox.com/total-pressure-loss-ducts-pipes-d_625.html&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Types of head losses include:&amp;lt;ref name=&amp;quot;RE2&amp;quot;&amp;gt;The Engineering Toolbox. (August 31, 2015). &amp;#039;&amp;#039;Total Pressure or Head Loss in Pipe or Duct Systems&amp;#039;&amp;#039; [Online]. Available: http://www.engineeringtoolbox.com/total-pressure-loss-ducts-pipes-d_625.html&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l50&quot;&gt;Line 50:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 50:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}[[Category:Uploaded]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Uploaded]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=4147&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=4147&amp;oldid=prev"/>
		<updated>2016-02-18T04:31:23Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:31, 18 February 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=4146&amp;oldid=prev</id>
		<title>Jmdonev at 23:30, 16 February 2016</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=4146&amp;oldid=prev"/>
		<updated>2016-02-16T23:30:44Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:30, 16 February 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;[[Category:Done &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2015&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;09&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;05&lt;/del&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2016&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;01&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/ins&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &#039;&#039;&#039;hydraulic head&#039;&#039;&#039; is a value that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;represents &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;height that &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;water&lt;/del&gt;]] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;falls&#039; from a higher elevation &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;hydroelectric reservoir|reservoir&lt;/del&gt;]] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;where it &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;stored &lt;/del&gt;to the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[hydro turbine|turbines]] where it is used to [[electricity generation|generate electricity]]&lt;/del&gt;.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &#039;&#039;Renewable Energy: Power for a Sustainable Future&#039;&#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;simply &lt;/del&gt;a measurement of the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;difference in &lt;/del&gt;height &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;as the &lt;/del&gt;water &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;moves through the system&lt;/del&gt;, usually expressed in [[meter]]s&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. This height difference includes the distance down through the &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;penstock&lt;/del&gt;]]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s and into &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;turbine itself&lt;/del&gt;. The &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;larger the height of &lt;/del&gt;the hydraulic head, the more [[energy]] that the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;flowing &lt;/del&gt;water has.&amp;lt;ref name=&quot;RE1&quot;&amp;gt;Turbine Generator. (August 31, 2015). &#039;&#039;Hydraulic Head&#039;&#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The water in the reservoir, which is at a higher altitude has more [[gravitational potential energy]] because it is at a higher vertical position than the [[tail race]]. The energy used to generate electricity by moving the turbines arises from the transformation from gravitational potential energy of the reservoir water to kinetic energy of falling water as it moves down through the penstocks.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;The &#039;&#039;&#039;hydraulic head&#039;&#039;&#039; is a value that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;measures &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;amount of mechanical &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;energy&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;available in &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;water&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in a river, stream or even lake. The hydraulic head &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;equivalent &lt;/ins&gt;to the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;water level in a static (non-flowing) water body&lt;/ins&gt;.&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &#039;&#039;Renewable Energy: Power for a Sustainable Future&#039;&#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In its simplest form hydraulic head &lt;/ins&gt;is a measurement of the height &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;of a static &lt;/ins&gt;water &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;column above an arbitrary point&lt;/ins&gt;, usually expressed in [[meter]]s &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(or &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;foot|feet&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;US)&lt;/ins&gt;. The &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;higher &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;water level or &lt;/ins&gt;hydraulic head, the more [[energy]] that the water &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;at a specific location &lt;/ins&gt;has.&amp;lt;ref name=&quot;RE1&quot;&amp;gt;Turbine Generator. (August 31, 2015). &#039;&#039;Hydraulic Head&#039;&#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt;  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2000px-Hydroelectric_dam.svg&lt;/del&gt;.png|400px|framed|center|Figure 1. A labelled diagram of a hydroelectric plant, including the hydraulic head.&amp;lt;ref&amp;gt;Wikimedia Commons. (August 31, 2015). &#039;&#039;Hydroelectric Dam&#039;&#039; [Online]. Available: https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Hydroelectric_dam.svg/2000px-Hydroelectric_dam.svg.png&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In a hydroelectric facility, the amount of energy harnessed depends on the difference between the headwater level in the [[hydroelectric reservoir|reservoir]] upstream of the dam and the [[tailwater]] level below the [[hydroelectric dam]]. This is known as the hydraulic head difference and it represents the amount of energy that can be transformed into electricity by the turbines and generators. More detailed calculations show that not only the difference in height of the water determines how much energy can be harnessed, but there are a variety of losses known as head losses. These head losses occur as a result of [[friction]] in pipes. When head losses are accounted for, the actual amount of energy that can be harnessed is reduced. This reduced value for hydraulic head with the losses accounted for is known as the &#039;&#039;&#039;[[effective head]]&#039;&#039;&#039;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The water in the reservoir, which is at a higher altitude has more [[gravitational potential energy]] because it is at a higher vertical position than the [[tail race]]. The energy used to generate electricity by moving the turbines arises from the utilization of gravitational potential energy of the reservoir water as it moves down through the penstocks. The use of [[Bernoulli&#039;s equation]] can help illustrate this process. Overall, hydraulic head is a way to represent the energy of energy of stored a fluid - in this case water - per unit weight.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;hydroelectricdam&lt;/ins&gt;.png|400px|framed|center|Figure 1. A labelled diagram of a hydroelectric plant, including the hydraulic head.&amp;lt;ref&amp;gt;Wikimedia Commons. (August 31, 2015). &#039;&#039;Hydroelectric Dam&#039;&#039; [Online]. Available: https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Hydroelectric_dam.svg/2000px-Hydroelectric_dam.svg.png&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The value for hydraulic head is used in the [[hydroelectric power equation]] to determine the [[available power]] of a [[hydroelectric facility|hydroelectric system]]. It is one of the main components in this equation, represented by:&amp;lt;ref name=boyle/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The value for hydraulic head is used in the [[hydroelectric power equation]] to determine the [[available power]] of a [[hydroelectric facility|hydroelectric system]]. It is one of the main components in this equation, represented by:&amp;lt;ref name=boyle/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;m&amp;gt;P = \rho Q g h&amp;lt;/m&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;m&amp;gt;P = \rho Q g &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\Delta &lt;/ins&gt;h&amp;lt;/m&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt; is the amount of [[power]] being calculated, measured in [[joule]]s per [[second]] (J/s) which is also known as a [[watt]] (W)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt; is the amount of [[power]] being calculated, measured in [[joule]]s per [[second]] (J/s) which is also known as a [[watt]] (W)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;h&amp;lt;/m&amp;gt; is the hydraulic head, expressed in meters (m)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\Delta &lt;/ins&gt;h&amp;lt;/m&amp;gt; is the hydraulic head &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;difference across the dam or turbine&lt;/ins&gt;, expressed in meters (m)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;\rho&amp;lt;/m&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;\rho&amp;lt;/m&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;Q&amp;lt;/m&amp;gt; is the volumetric [[flow rate]] of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;Q&amp;lt;/m&amp;gt; is the volumetric [[flow rate]] of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;g&amp;lt;/m&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;m&amp;gt;g&amp;lt;/m&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that the larger the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;h value &lt;/del&gt;in the expression above, the more &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;gravitational &lt;/del&gt;potential energy the water in the reservoir has.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that the larger the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;head difference &lt;/ins&gt;in the expression above, the more potential &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;mechanical &lt;/ins&gt;energy the water in the reservoir has.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Classifications==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Classifications==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are three main classifications of hydraulic head: high, medium, and low. The characteristics of these types are described below.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are three main classifications of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dames based on the &lt;/ins&gt;hydraulic head &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;differences&lt;/ins&gt;: high, medium, and low. The characteristics of these types are described below.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===High Head===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===High Head===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Elevations &lt;/del&gt;100 meters or higher are considered high head. In this type of plant, water travelling through the turbine comes from a significantly higher elevation, meaning that the system &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;requires &lt;/del&gt;a smaller volume of water to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;operate since the water gains more [[momentum]] simply by falling&lt;/del&gt;.&amp;lt;ref name=boyle/&amp;gt; These systems generally also require smaller turbines since there is less water flowing through the turbine.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Head differences of &lt;/ins&gt;100 meters or higher are considered high head. In this type of plant, water travelling through the turbine comes from a significantly higher elevation, meaning that the system &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;needs &lt;/ins&gt;a smaller volume of water to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;produce an equivalent amount of energy&lt;/ins&gt;.&amp;lt;ref name=boyle/&amp;gt; These systems generally also require smaller turbines since there is less water flowing through the turbine.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In addition to a smaller turbine, a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;larger &lt;/del&gt;penstock is needed to guide the water down from the high elevation reservoir. Generally, large hydroelectric installations are either high or medium head.&amp;lt;ref name=&quot;RE1&quot;/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In addition to a smaller turbine, a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;longer &lt;/ins&gt;penstock is needed to guide the water down from the high elevation reservoir. Generally, large hydroelectric installations are either high or medium head.&amp;lt;ref name=&quot;RE1&quot;/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Medium Head===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Medium Head===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Medium head systems &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;are an in-&lt;/del&gt;between between &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;high &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;low head systems&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Like high head dams, &lt;/del&gt;medium head &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dams contain a penstock that transports water from a reservoir down to the turbine. However, this penstock &lt;/del&gt;is slightly shorter as there is less of an elevation drop. This type of [[hydroelectric dam|dam]] relies both on a significant volume of water flowing and a significant drop in height of the water.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Medium head systems &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;generally have head differences &lt;/ins&gt;between between &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10 &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;100 meters&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The penstock in a &lt;/ins&gt;medium head &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dam &lt;/ins&gt;is slightly shorter &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;than a high head dam &lt;/ins&gt;as there is less of an elevation drop. This type of [[hydroelectric dam|dam]] relies both on a significant volume of water flowing and a significant drop in height of the water.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Low Head===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Low Head===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Low head &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/del&gt;usually classified as systems with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;elevations &lt;/del&gt;of around 10 meters. These low head hydro turbines are generally used in [[run-of-the-river systems]] where there is a flowing river with little elevation change&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. In these dams, there is no penstock as there isn&#039;t enough of a water drop to justify its installation&lt;/del&gt;.&amp;lt;ref name=&quot;RE1&quot;/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Low head &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dams are &lt;/ins&gt;usually classified as systems with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;head differences &lt;/ins&gt;of around 10 meters &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or less&lt;/ins&gt;. These low head hydro turbines are generally used in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;facilities such as &lt;/ins&gt;[[run-of-the-river systems]] where there is a flowing river with little elevation change.&amp;lt;ref name=&quot;RE1&quot;/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These low head systems usually transport large volumes of water and thus require larger &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;turbine [[generator]]s &lt;/del&gt;to efficiently convert water energy into [[electricity]]. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A &lt;/del&gt;dam isn&#039;t &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;always &lt;/del&gt;needed &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in these low head systems, &lt;/del&gt;as there is very little water storage.&amp;lt;ref name=boyle/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These low head systems usually transport large volumes of water and thus require larger &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;turbines &lt;/ins&gt;to efficiently convert water energy into [[electricity]]. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In these installations, a large &lt;/ins&gt;dam isn&#039;t needed &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;to barricade water &lt;/ins&gt;as there is very little water storage.&amp;lt;ref name=boyle/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Head Losses==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Head Losses==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Although there is a set &lt;/del&gt;height difference between the water reservoir and the [[tail race]] in a hydroelectric &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;facilities&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;there are some &lt;/del&gt;losses &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that &lt;/del&gt;occur whenever water flows through the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pipes&lt;/del&gt;. These losses reduce the overall head and result in a number known as the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/del&gt;effective head&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;.&amp;lt;ref name=boyle/&amp;gt; Head losses occur in all hydroelectric facilities, and are classified as major and minor head losses&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. A head loss occurs in inefficiencies of the hydroelectric facility that reduce the total hydraulic head that can be used for hydroelectric generation&lt;/del&gt;. These hydraulic head losses are measured, calculated, and expressed in the same way hydraulic head is, in meters. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Once hydraulic &lt;/del&gt;head losses &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;are known they can simply subtracted &lt;/del&gt;from the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;hydraulic head &lt;/del&gt;to get the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;total hydraulic head&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The &lt;/ins&gt;height difference between the water reservoir and the [[tail race]] in a hydroelectric &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;facility is termed the gross head and it determines the maximum amount of power that can be produced.  However&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;energy &lt;/ins&gt;losses occur whenever water flows through &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pipes due to friction and this reduces &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;actual rate of power production&lt;/ins&gt;. These losses reduce the overall head and result in a number known as the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&lt;/ins&gt;effective head&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039; or net head.  Effective head is equal to the gross head minus the sum of all head losses&lt;/ins&gt;.&amp;lt;ref name=boyle/&amp;gt; Head losses occur in all hydroelectric facilities, and are classified as major and minor head losses. These hydraulic head losses are measured, calculated, and expressed in the same way hydraulic head is, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in the equivalent height of water &lt;/ins&gt;in meters. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In this case, you subtract the amount of power lost through &lt;/ins&gt;head losses from the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;overall gross power &lt;/ins&gt;to get the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;actual net power one can obtain&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The equation can be shown as:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;center&amp;gt;&amp;lt;m&amp;gt;P_{net} = P_{gross} - P_{loss}&amp;lt;/m&amp;gt;&amp;lt;/center&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Types of head losses include:&amp;lt;ref name=&amp;quot;RE2&amp;quot;&amp;gt;The Engineering Toolbox. (August 31, 2015). &amp;#039;&amp;#039;Total Pressure or Head Loss in Pipe or Duct Systems&amp;#039;&amp;#039; [Online]. Available: http://www.engineeringtoolbox.com/total-pressure-loss-ducts-pipes-d_625.html&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Types of head losses include:&amp;lt;ref name=&amp;quot;RE2&amp;quot;&amp;gt;The Engineering Toolbox. (August 31, 2015). &amp;#039;&amp;#039;Total Pressure or Head Loss in Pipe or Duct Systems&amp;#039;&amp;#039; [Online]. Available: http://www.engineeringtoolbox.com/total-pressure-loss-ducts-pipes-d_625.html&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &#039;&#039;&#039;Major head losses&#039;&#039;&#039;: Major head losses arise from &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;factors such as surface &lt;/del&gt;friction &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;from &lt;/del&gt;the pipes, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;length &lt;/del&gt;of the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pipes, and size of pipes&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &#039;&#039;&#039;Major head losses&#039;&#039;&#039;: Major head losses arise &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;mainly &lt;/ins&gt;from friction &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in &lt;/ins&gt;the pipes, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and occur over long lengths &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pipe, such as in &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;penstock.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &#039;&#039;&#039;Minor head losses&#039;&#039;&#039;: Minor head losses arise from friction &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;at bends and valves&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;flow rate in &lt;/del&gt;the pipe, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and blockages such as trash racks&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &#039;&#039;&#039;Minor head losses&#039;&#039;&#039;: Minor head losses arise from &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;any other place &#039;&#039;besides&#039;&#039; &lt;/ins&gt;friction &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in the pipes. Essentially&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;any place that &lt;/ins&gt;the pipe &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;bends or the velocity of the water changes&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;minor losses exist.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Major &lt;/del&gt;head losses are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;typically expected to be larger then &lt;/del&gt;minor head losses&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. The &lt;/del&gt;minor head losses &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can actually contribute more to &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;total head loss than the major head losses do. These arise fromthe design &lt;/del&gt;of the hydroelectric &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;facility, limitations in the local geography, river flow, size of river, and type of river&lt;/del&gt;.&amp;lt;ref name=&quot;RE2&quot;/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Despite the names, major &lt;/ins&gt;head losses are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;not always greater than &lt;/ins&gt;minor head losses &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- it is simply the combination of both &lt;/ins&gt;minor &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and major &lt;/ins&gt;head losses &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that are important in determining what &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;net power &lt;/ins&gt;of the hydroelectric &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;power plant is&lt;/ins&gt;.&amp;lt;ref name=&quot;RE2&quot;/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Uploaded]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=3235&amp;oldid=prev</id>
		<title>J.williams: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=3235&amp;oldid=prev"/>
		<updated>2015-09-03T18:23:24Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:23, 3 September 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>J.williams</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=3234&amp;oldid=prev</id>
		<title>Jmdonev at 16:07, 3 September 2015</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Hydraulic_head&amp;diff=3234&amp;oldid=prev"/>
		<updated>2015-09-03T16:07:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt; [[Category:Done 2015-09-05]] &lt;br /&gt;
&amp;lt;onlyinclude&amp;gt;The &amp;#039;&amp;#039;&amp;#039;hydraulic head&amp;#039;&amp;#039;&amp;#039; is a value that represents the height that [[water]] &amp;#039;falls&amp;#039; from a higher elevation [[hydroelectric reservoir|reservoir]] where it is stored to the [[hydro turbine|turbines]] where it is used to [[electricity generation|generate electricity]].&amp;lt;/onlyinclude&amp;gt;&amp;lt;ref name=boyle&amp;gt;G. Boyle. &amp;#039;&amp;#039;Renewable Energy: Power for a Sustainable Future&amp;#039;&amp;#039;, 2nd ed. Oxford, UK: Oxford University Press, 2004.&amp;lt;/ref&amp;gt; This is simply a measurement of the difference in height as the water moves through the system, usually expressed in [[meter]]s. This height difference includes the distance down through the [[penstock]]s and into the turbine itself. The larger the height of the hydraulic head, the more [[energy]] that the flowing water has.&amp;lt;ref name=&amp;quot;RE1&amp;quot;&amp;gt;Turbine Generator. (August 31, 2015). &amp;#039;&amp;#039;Hydraulic Head&amp;#039;&amp;#039; [Online]. Available: http://turbinegenerator.org/hydro/hydroelectric-power/hydraulic-head&amp;lt;/ref&amp;gt; The water in the reservoir, which is at a higher altitude has more [[gravitational potential energy]] because it is at a higher vertical position than the [[tail race]]. The energy used to generate electricity by moving the turbines arises from the transformation from gravitational potential energy of the reservoir water to kinetic energy of falling water as it moves down through the penstocks.&lt;br /&gt;
&lt;br /&gt;
[[File:2000px-Hydroelectric_dam.svg.png|400px|framed|center|Figure 1. A labelled diagram of a hydroelectric plant, including the hydraulic head.&amp;lt;ref&amp;gt;Wikimedia Commons. (August 31, 2015). &amp;#039;&amp;#039;Hydroelectric Dam&amp;#039;&amp;#039; [Online]. Available: https://upload.wikimedia.org/wikipedia/commons/thumb/5/57/Hydroelectric_dam.svg/2000px-Hydroelectric_dam.svg.png&amp;lt;/ref&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
The value for hydraulic head is used in the [[hydroelectric power equation]] to determine the [[available power]] of a [[hydroelectric facility|hydroelectric system]]. It is one of the main components in this equation, represented by:&amp;lt;ref name=boyle/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&amp;lt;m&amp;gt;P = \rho Q g h&amp;lt;/m&amp;gt;&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where:&lt;br /&gt;
&lt;br /&gt;
*&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt; is the amount of [[power]] being calculated, measured in [[joule]]s per [[second]] (J/s) which is also known as a [[watt]] (W)&lt;br /&gt;
*&amp;lt;m&amp;gt;h&amp;lt;/m&amp;gt; is the hydraulic head, expressed in meters (m)&lt;br /&gt;
*&amp;lt;m&amp;gt;\rho&amp;lt;/m&amp;gt; is the [[density]] of the fluid, measured in [[kilogram]]s per unit [[volume]] (kg/m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;)&lt;br /&gt;
*&amp;lt;m&amp;gt;Q&amp;lt;/m&amp;gt; is the volumetric [[flow rate]] of the fluid, measured in volume per unit time (m&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/s)&lt;br /&gt;
*&amp;lt;m&amp;gt;g&amp;lt;/m&amp;gt; is [[acceleration due to gravity]], measured in meters per second (m/s)&lt;br /&gt;
&lt;br /&gt;
Note that the larger the h value in the expression above, the more gravitational potential energy the water in the reservoir has.&lt;br /&gt;
&lt;br /&gt;
==Classifications==&lt;br /&gt;
There are three main classifications of hydraulic head: high, medium, and low. The characteristics of these types are described below.&lt;br /&gt;
&lt;br /&gt;
===High Head===&lt;br /&gt;
Elevations 100 meters or higher are considered high head. In this type of plant, water travelling through the turbine comes from a significantly higher elevation, meaning that the system requires a smaller volume of water to operate since the water gains more [[momentum]] simply by falling.&amp;lt;ref name=boyle/&amp;gt; These systems generally also require smaller turbines since there is less water flowing through the turbine.&lt;br /&gt;
&lt;br /&gt;
In addition to a smaller turbine, a larger penstock is needed to guide the water down from the high elevation reservoir. Generally, large hydroelectric installations are either high or medium head.&amp;lt;ref name=&amp;quot;RE1&amp;quot;/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Medium Head===&lt;br /&gt;
Medium head systems are an in-between between high and low head systems. Like high head dams, medium head dams contain a penstock that transports water from a reservoir down to the turbine. However, this penstock is slightly shorter as there is less of an elevation drop. This type of [[hydroelectric dam|dam]] relies both on a significant volume of water flowing and a significant drop in height of the water.&lt;br /&gt;
&lt;br /&gt;
===Low Head===&lt;br /&gt;
Low head is usually classified as systems with elevations of around 10 meters. These low head hydro turbines are generally used in [[run-of-the-river systems]] where there is a flowing river with little elevation change. In these dams, there is no penstock as there isn&amp;#039;t enough of a water drop to justify its installation.&amp;lt;ref name=&amp;quot;RE1&amp;quot;/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
These low head systems usually transport large volumes of water and thus require larger turbine [[generator]]s to efficiently convert water energy into [[electricity]]. A dam isn&amp;#039;t always needed in these low head systems, as there is very little water storage.&amp;lt;ref name=boyle/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Head Losses==&lt;br /&gt;
Although there is a set height difference between the water reservoir and the [[tail race]] in a hydroelectric facilities, there are some losses that occur whenever water flows through the pipes. These losses reduce the overall head and result in a number known as the [[effective head]].&amp;lt;ref name=boyle/&amp;gt; Head losses occur in all hydroelectric facilities, and are classified as major and minor head losses. A head loss occurs in inefficiencies of the hydroelectric facility that reduce the total hydraulic head that can be used for hydroelectric generation. These hydraulic head losses are measured, calculated, and expressed in the same way hydraulic head is, in meters. Once hydraulic head losses are known they can simply subtracted from the hydraulic head to get the total hydraulic head.&lt;br /&gt;
&lt;br /&gt;
Types of head losses include:&amp;lt;ref name=&amp;quot;RE2&amp;quot;&amp;gt;The Engineering Toolbox. (August 31, 2015). &amp;#039;&amp;#039;Total Pressure or Head Loss in Pipe or Duct Systems&amp;#039;&amp;#039; [Online]. Available: http://www.engineeringtoolbox.com/total-pressure-loss-ducts-pipes-d_625.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Major head losses&amp;#039;&amp;#039;&amp;#039;: Major head losses arise from factors such as surface friction from the pipes, length of the pipes, and size of pipes&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Minor head losses&amp;#039;&amp;#039;&amp;#039;: Minor head losses arise from friction at bends and valves, flow rate in the pipe, and blockages such as trash racks&lt;br /&gt;
&lt;br /&gt;
Major head losses are typically expected to be larger then minor head losses. The minor head losses can actually contribute more to the total head loss than the major head losses do. These arise fromthe design of the hydroelectric facility, limitations in the local geography, river flow, size of river, and type of river.&amp;lt;ref name=&amp;quot;RE2&amp;quot;/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;/div&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
</feed>