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<li class="toctree-l2"><a class="reference internal" href="#tn1-auctions-and-opfs">[TN1] Auctions and OPFs</a></li>
<li class="toctree-l2"><a class="reference internal" href="#tn2-flows-derivatives">[TN2] Flows/Derivatives</a></li>
<li class="toctree-l2"><a class="reference internal" href="#tn3-flows-derivatives-current">[TN3] Flows/Derivatives, Current</a></li>
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<section id="matpower-technical-notes">
<h1><span class="raw-html">M<span style="font-size:smaller">ATPOWER</span></span> Technical Notes<a class="headerlink" href="#matpower-technical-notes" title="Link to this heading"></a></h1>
<section id="tn1-auctions-and-opfs">
<h2>[TN1] Auctions and OPFs<a class="headerlink" href="#tn1-auctions-and-opfs" title="Link to this heading"></a></h2>
<blockquote>
<div><div class="line-block">
<div class="line">R. D. Zimmerman, “Uniform Price Auctions and Optimal Power Flow,” <span class="raw-html"><em>M<span style="font-size:smaller">ATPOWER</span></em></span> <em>Technical Note 1</em>, February 2010. Available: <a class="reference external" href="https://matpower.org/docs/TN1-OPF-Auctions.pdf">https://matpower.org/docs/TN1-OPF-Auctions.pdf</a>.</div>
<div class="line"><a class="reference external" href="https://doi.org/10.5281/zenodo.3237850">doi: 10.5281/zenodo.3237850</a></div>
</div>
<p><a class="reference download external" download="" href="https://matpower.org/docs/TN1-OPF-Auctions.pdf"><code class="xref download docutils literal notranslate"><span class="pre">Tech</span> <span class="pre">Note</span> <span class="pre">1</span></code></a></p>
</div></blockquote>
</section>
<section id="tn2-flows-derivatives">
<h2>[TN2] Flows/Derivatives<a class="headerlink" href="#tn2-flows-derivatives" title="Link to this heading"></a></h2>
<blockquote>
<div><div class="line-block">
<div class="line">R. D. Zimmerman, “AC Power Flows, Generalized OPF Costs and their Derivatives using Complex Matrix Notation,” <span class="raw-html"><em>M<span style="font-size:smaller">ATPOWER</span></em></span> <em>Technical Note 2</em>, February 2010. Available: <a class="reference external" href="https://matpower.org/docs/TN2-OPF-Derivatives.pdf">https://matpower.org/docs/TN2-OPF-Derivatives.pdf</a>.</div>
<div class="line"><a class="reference external" href="https://doi.org/10.5281/zenodo.3237866">doi: 10.5281/zenodo.3237866</a></div>
</div>
<p><a class="reference download external" download="" href="https://matpower.org/docs/TN2-OPF-Derivatives.pdf"><code class="xref download docutils literal notranslate"><span class="pre">Tech</span> <span class="pre">Note</span> <span class="pre">2</span></code></a></p>
</div></blockquote>
</section>
<section id="tn3-flows-derivatives-current">
<h2>[TN3] Flows/Derivatives, Current<a class="headerlink" href="#tn3-flows-derivatives-current" title="Link to this heading"></a></h2>
<blockquote>
<div><div class="line-block">
<div class="line">B. Sereeter and R. D. Zimmerman, “Addendum to AC Power Flows and their Derivatives using Complex Matrix Notation: Nodal Current Balance,” <span class="raw-html"><em>M<span style="font-size:smaller">ATPOWER</span></em></span> <em>Technical Note 3</em>, April 2018. Available: <a class="reference external" href="https://matpower.org/docs/TN3-More-OPF-Derivatives.pdf">https://matpower.org/docs/TN3-More-OPF-Derivatives.pdf</a>.</div>
<div class="line"><a class="reference external" href="https://doi.org/10.5281/zenodo.3237900">doi: 10.5281/zenodo.3237900</a></div>
</div>
<p><a class="reference download external" download="" href="https://matpower.org/docs/TN3-More-OPF-Derivatives.pdf"><code class="xref download docutils literal notranslate"><span class="pre">Tech</span> <span class="pre">Note</span> <span class="pre">3</span></code></a></p>
</div></blockquote>
</section>
<section id="tn4-flows-derivatives-cartesian">
<h2>[TN4] Flows/Derivatives, Cartesian<a class="headerlink" href="#tn4-flows-derivatives-cartesian" title="Link to this heading"></a></h2>
<blockquote>
<div><div class="line-block">
<div class="line">B. Sereeter and R. D. Zimmerman, “AC Power Flows, Generalized OPF Costs and their Derivatives using Complex Matrix Notation and Cartesian Coordinate Voltages,” <span class="raw-html"><em>M<span style="font-size:smaller">ATPOWER</span></em></span> <em>Technical Note 4</em>, April 2018. Available: <a class="reference external" href="https://matpower.org/docs/TN4-OPF-Derivatives-Cartesian.pdf">https://matpower.org/docs/TN4-OPF-Derivatives-Cartesian.pdf</a>.</div>
<div class="line"><a class="reference external" href="https://doi.org/10.5281/zenodo.3237909">doi: 10.5281/zenodo.3237909</a></div>
</div>
<p><a class="reference download external" download="" href="https://matpower.org/docs/TN4-OPF-Derivatives-Cartesian.pdf"><code class="xref download docutils literal notranslate"><span class="pre">Tech</span> <span class="pre">Note</span> <span class="pre">4</span></code></a></p>
</div></blockquote>
</section>
<section id="tn5-mp-element">
<h2>[TN5] MP-Element<a class="headerlink" href="#tn5-mp-element" title="Link to this heading"></a></h2>
<blockquote>
<div><div class="line-block">
<div class="line">R. D. Zimmerman, “MP-Element: A Unified <span class="raw-html">M<span style="font-size:smaller">ATPOWER</span></span> Element Model,” <span class="raw-html"><em>M<span style="font-size:smaller">ATPOWER</span></em></span> <em>Technical Note 5</em>, October 2020. Available: <a class="reference external" href="https://matpower.org/docs/TN5-MP-Element.pdf">https://matpower.org/docs/TN5-MP-Element.pdf</a>.</div>
<div class="line"><a class="reference external" href="https://doi.org/10.5281/zenodo.4110676">doi: 10.5281/zenodo.4110676</a></div>
</div>
<p><a class="reference download external" download="" href="https://matpower.org/docs/TN5-MP-Element.pdf"><code class="xref download docutils literal notranslate"><span class="pre">Tech</span> <span class="pre">Note</span> <span class="pre">5</span></code></a></p>
</div></blockquote>
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