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	<title>Interleave sequence - Revision history</title>
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	<updated>2026-05-21T07:50:38Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://en.formulasearchengine.com/index.php?title=Interleave_sequence&amp;diff=243675&amp;oldid=prev</id>
		<title>en&gt;David Eppstein: /* Properties */ another ref</title>
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		<updated>2014-04-09T18:41:29Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Properties: &lt;/span&gt; another ref&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/index.php?title=Interleave_sequence&amp;amp;diff=243675&amp;amp;oldid=11239&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>en&gt;David Eppstein</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Interleave_sequence&amp;diff=11239&amp;oldid=prev</id>
		<title>en&gt;Khazar2: clean up, typos fixed: merging together → merging, added orphan tag using AWB</title>
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		<updated>2012-05-29T23:48:08Z</updated>

		<summary type="html">&lt;p&gt;clean up, typos fixed: merging together → merging, added &lt;a href=&quot;/index.php?title=CAT:O&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;CAT:O (page does not exist)&quot;&gt;orphan&lt;/a&gt; tag using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Multiple issues|&lt;br /&gt;
{{unreferenced|date=August 2009}}&lt;br /&gt;
{{expert-subject|date=March 2012}}&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;paraformer&amp;#039;&amp;#039;&amp;#039; is a particular type of [[transformer]]. It transfers the [[electric power|power]] from primary to secondary [[transformer#windings|windings]] not by [[Inductance#Coupled inductors|mutual inductance coupling]] but by a variation of a parameter in its [[magnetic circuit]].  First described by Wanlass, &amp;#039;&amp;#039;et al.&amp;#039;&amp;#039;, 1968.&lt;br /&gt;
&lt;br /&gt;
Assuming [[Faraday&amp;#039;s law of induction]],&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;v(t) = L \frac{di(t)}{dt} &amp;lt;/math&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
it is possible to obtain a [[voltage]] at the secondary winding terminals also thanks to a variation of the inductance, so that&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;v(t) = I \frac{dl(t)}{dt} &amp;lt;/math&amp;gt; &lt;br /&gt;
    &lt;br /&gt;
This can be accomplished by for example modulating the [[Saturation (magnetic)|saturation]] of the core by means of an applied variable [[magnetic field]]. It works even if primary and secondary windings magnetic coupling is zero (when the [[magnetic flux|fluxes]] are mutually [[orthogonal]]).{{Citation needed|date=August 2009}}&lt;br /&gt;
&lt;br /&gt;
==Further reading==&lt;br /&gt;
*S. D. Wanlass, C. L. Wanlass, L. K. Wanlass, &amp;quot;The Paraformer; A new passive power conversion device&amp;quot;, &amp;#039;&amp;#039;IEEE Wescon Tech. Papers&amp;#039;&amp;#039;, 1968.&lt;br /&gt;
*Burian, Kurt, [http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4158243 &amp;quot;Theory and analysis of a parametrically excited passive power converter&amp;quot;], &amp;#039;&amp;#039;IEEE Transactions on Industry Applications&amp;#039;&amp;#039;, vol. IA-8, iss. 3, pp.&amp;amp;nbsp;278–282, May 1972.&lt;br /&gt;
*Power, Henry Al, [http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4157787 &amp;quot;Analysis of a passive power converter as a nonlinear feedback system&amp;quot;], &amp;#039;&amp;#039;IEEE Transactions on Industry Applications&amp;#039;&amp;#039;, vol. IA-11, iss. 5, pp.&amp;amp;nbsp;556–559, September 1975.&lt;br /&gt;
*Bessho, K.; Matsumura, F.;  Aoki, Y.;  Suzuki, M., [http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1058824 &amp;quot;Theory and analysis of a new power converter with center-tap reactor circuit&amp;quot;], &amp;#039;&amp;#039;IEEE Transactions on Magnetics&amp;#039;&amp;#039;, vol. 11, iss. 5, pp.&amp;amp;nbsp;1558–1560, September 1975.&lt;br /&gt;
*Tez, E. Salih; Smith, I. R., [http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4321665 The Parametric transformer: a power conversion device demonstrating the principles of parametric excitation&amp;quot;], &amp;#039;&amp;#039;IEEE Transactions on Education&amp;#039;&amp;#039;, vol. 27, iss. 2, pp.&amp;amp;nbsp;56–57, May 1984 (includes history of the principle).&lt;br /&gt;
&lt;br /&gt;
[[Category:Transformers (electrical)]]&lt;br /&gt;
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&lt;br /&gt;
{{electron-stub}}&lt;/div&gt;</summary>
		<author><name>en&gt;Khazar2</name></author>
	</entry>
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