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		<id>https://en.formulasearchengine.com/index.php?title=Evolutionary_invasion_analysis&amp;diff=17826</id>
		<title>Evolutionary invasion analysis</title>
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		<updated>2013-10-01T15:54:15Z</updated>

		<summary type="html">&lt;p&gt;131.104.255.18: /* Introduction and background */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:Voltage regulator foldback.svg|thumb|V-I curves for voltage regulators with different overload handling: &amp;lt;span style=&amp;quot;color:green&amp;quot;&amp;gt;foldback&amp;lt;/span&amp;gt;, &amp;lt;span style=&amp;quot;color:blue&amp;quot;&amp;gt;constant current limited&amp;lt;/span&amp;gt;, and &amp;lt;span style=&amp;quot;color:red&amp;quot;&amp;gt;unlimited&amp;lt;/span&amp;gt;.]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Foldback&#039;&#039;&#039; is a [[current limiting]] feature (a type of [[overload protection]]) of [[power supplies]] and [[power amplifier]]s. When the load attempts to draw overcurrent from the supply, foldback reduces both the output [[voltage]] and [[Electric current|current]] to well below the normal operating limits. Under a [[short circuit]], where the output voltage has reduced to zero, the current is typically limited to a small fraction of the maximum current.&lt;br /&gt;
&lt;br /&gt;
[[File:Voltage regulator linear foldback.svg|thumb|Power dissipation vs. load resistance for linear voltage regulators with different overload handling. Here &#039;&#039;V&#039;&#039;&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = 12 V, &#039;&#039;V&#039;&#039;&amp;lt;sub&amp;gt;OC&amp;lt;/sub&amp;gt; = 10 V, &#039;&#039;I&#039;&#039;&amp;lt;sub&amp;gt;max&amp;lt;/sub&amp;gt; = 1 A, &#039;&#039;I&#039;&#039;&amp;lt;sub&amp;gt;SC&amp;lt;/sub&amp;gt;=0.17 A. The maximum dissipation in the &amp;lt;span style=&amp;quot;color:green&amp;quot;&amp;gt;foldback&amp;lt;/span&amp;gt; design is three times lower than in the &amp;lt;span style=&amp;quot;color:blue&amp;quot;&amp;gt;constant current limited&amp;lt;/span&amp;gt; design.]]&lt;br /&gt;
&lt;br /&gt;
The prime purpose of foldback current limiting in [[Linear power supply|linear power supplies]] is to keep the output [[transistor]] within its safe [[power dissipation]] limit.&lt;br /&gt;
With a linear voltage regulator, the output voltage &#039;&#039;V&#039;&#039;&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt; and output current &#039;&#039;I&#039;&#039;&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt; are maintained by simply dissipating away the surplus of input voltage &#039;&#039;V&#039;&#039;&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt;:&lt;br /&gt;
:&amp;lt;math&amp;gt;P_{\rm dissipation\, in\, regulator} = (V_{\rm in} - V_{\rm out})\times I_{\rm out}&amp;lt;/math&amp;gt;&lt;br /&gt;
Under overload conditions the output voltage falls and so the difference &#039;&#039;V&#039;&#039;&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; - &#039;&#039;V&#039;&#039;&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt; becomes larger, tending to increasing dissipation. For a simple current limit, safely handling the worst-case scenario (a short circuit) would therefore require a much larger heatsink and output transistor than would be required under normal operating conditions. Foldback partially solves this, helping to keep the normal-rated output transistor within its [[safe operating area]] under [[fault (power engineering)|fault]] and [[electrical overload|overload]] conditions. Foldback also significantly reduces the power dissipation in the &#039;&#039;load&#039;&#039; in fault conditions, which can reduce the risks of fire and heat damage.&lt;br /&gt;
&lt;br /&gt;
Many power supplies employ [[constant current]] limiting protection; foldback goes one step further by reducing the output current limit linearly as output voltage decreases. However it adds complexity to the power supply and can trigger &amp;quot;lockout&amp;quot; conditions with non-[[Ohm&#039;s law|ohmic]] devices that draw a constant current independent of supply voltage (such as op-amps). Foldback in [[switched-mode power supplies]] is discouraged because of these disadvantages, and since the benefit of reducing the power dissipation does not apply. Despite this, foldback is still often implemented in them.&amp;lt;ref&amp;gt;&lt;br /&gt;
{{cite book&lt;br /&gt;
 | title = Switchmode power supply handbook&lt;br /&gt;
 | author = Keith H. Billings&lt;br /&gt;
 | publisher = McGraw-Hill Professional&lt;br /&gt;
 | year = 1999&lt;br /&gt;
 | isbn = 978-0-07-006719-6&lt;br /&gt;
 | page = 1.113&lt;br /&gt;
 | url = http://books.google.com/books?id=RwAmBvRzA3EC&amp;amp;pg=PT115&amp;amp;dq=foldback+power-supply&amp;amp;hl=en&amp;amp;ei=_1JWTPTYBoH4swPkm6mmAw&amp;amp;sa=X&amp;amp;oi=book_result&amp;amp;ct=result&amp;amp;resnum=1&amp;amp;ved=0CDUQ6AEwAA#v=onepage&amp;amp;q=foldback%20power-supply&amp;amp;f=false&lt;br /&gt;
 }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Electrical power control]]&lt;/div&gt;</summary>
		<author><name>131.104.255.18</name></author>
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