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	<title>Time Domain Simulations of Power Systems - Revision history</title>
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	<updated>2026-04-12T07:23:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
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		<title>Jules: Created page with &quot;In time domain simulations of power systems, a dynamic model is defined as any model that can be described by a set of differential-algebraic equations (DAE), commonly present...&quot;</title>
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		<updated>2020-11-22T08:27:08Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;In time domain simulations of power systems, a dynamic model is defined as any model that can be described by a set of differential-algebraic equations (DAE), commonly present...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In time domain simulations of power systems, a dynamic model is defined as any model that can be described by a set of differential-algebraic equations (DAE), commonly presented in the following form:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; \dot{\boldsymbol{x}} = \boldsymbol{f}(\boldsymbol{x},\boldsymbol{y},\boldsymbol{p},t) \,&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; \boldsymbol{0} = \boldsymbol{g}(\boldsymbol{x},\boldsymbol{y},\boldsymbol{p},t) \,&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;\boldsymbol{x} \,&amp;lt;/math&amp;gt; is a vector of state variables&lt;br /&gt;
:&amp;lt;math&amp;gt;\boldsymbol{y} \,&amp;lt;/math&amp;gt; is a vector of algebraic variables&lt;br /&gt;
:&amp;lt;math&amp;gt;\boldsymbol{p} \,&amp;lt;/math&amp;gt; is a vector of constant or controllable parameters&lt;br /&gt;
:&amp;lt;math&amp;gt;t \,&amp;lt;/math&amp;gt; is time (an independent variable)&lt;br /&gt;
:&amp;lt;math&amp;gt;\boldsymbol{f}(.) \,&amp;lt;/math&amp;gt; are the differential equations&lt;br /&gt;
:&amp;lt;math&amp;gt;\boldsymbol{g}(.) \,&amp;lt;/math&amp;gt; are the algebraic equations&lt;br /&gt;
&lt;br /&gt;
== Related Topics ==&lt;br /&gt;
&lt;br /&gt;
:* [[Explicit Numerical Integrators]]&lt;br /&gt;
:* [[Modified Admittance Matrix]]&lt;br /&gt;
:* [[Network Interfacing]]&lt;br /&gt;
:* [[Synchronous Machine Models]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Modelling / Analysis]]&lt;/div&gt;</summary>
		<author><name>Jules</name></author>
	</entry>
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