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@ -0,0 +1,281 @@
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body {
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padding-top: 70px;
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h1[id]:before, h2[id]:before, h3[id]:before, h4[id]:before, h5[id]:before, h6[id]:before {
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max-width: 100%;
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height: auto;
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ul.nav li.first-level {
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font-weight: bold;
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}
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ul.nav li.third-level {
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padding-left: 12px;
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}
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div.col-md-3 {
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padding-left: 0;
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}
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div.col-md-9 {
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padding-bottom: 100px;
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}
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div.source-links {
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float: right;
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* Side navigation
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*
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* Scrollspy and affixed enhanced navigation to highlight sections and secondary
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* sections of docs content.
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*/
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/* By default it's not affixed in mobile views, so undo that */
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.bs-sidebar.affix {
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position: static;
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}
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.bs-sidebar.well {
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padding: 0;
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}
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/* First level of nav */
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.bs-sidenav {
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margin-top: 30px;
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margin-bottom: 30px;
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padding-top: 10px;
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padding-bottom: 10px;
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border-radius: 5px;
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}
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/* All levels of nav */
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.bs-sidebar .nav > li > a {
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display: block;
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padding: 5px 20px;
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z-index: 1;
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}
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.bs-sidebar .nav > li > a:hover,
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.bs-sidebar .nav > li > a:focus {
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text-decoration: none;
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border-right: 1px solid;
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}
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.bs-sidebar .nav > .active > a,
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.bs-sidebar .nav > .active:hover > a,
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.bs-sidebar .nav > .active:focus > a {
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font-weight: bold;
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background-color: transparent;
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||||
border-right: 1px solid;
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}
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||||
|
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/* Nav: second level (shown on .active) */
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||||
.bs-sidebar .nav .nav {
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||||
display: none; /* Hide by default, but at >768px, show it */
|
||||
margin-bottom: 8px;
|
||||
}
|
||||
.bs-sidebar .nav .nav > li > a {
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||||
padding-top: 3px;
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||||
padding-bottom: 3px;
|
||||
padding-left: 30px;
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||||
font-size: 90%;
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||||
}
|
||||
|
||||
/* Show and affix the side nav when space allows it */
|
||||
@media (min-width: 992px) {
|
||||
.bs-sidebar .nav > .active > ul {
|
||||
display: block;
|
||||
}
|
||||
/* Widen the fixed sidebar */
|
||||
.bs-sidebar.affix,
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||||
.bs-sidebar.affix-bottom {
|
||||
width: 213px;
|
||||
}
|
||||
.bs-sidebar.affix {
|
||||
position: fixed; /* Undo the static from mobile first approach */
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||||
top: 80px;
|
||||
max-height: calc(100% - 90px);
|
||||
}
|
||||
.bs-sidebar.affix-bottom {
|
||||
position: absolute; /* Undo the static from mobile first approach */
|
||||
}
|
||||
.bs-sidebar.affix-bottom .bs-sidenav,
|
||||
.bs-sidebar.affix .bs-sidenav {
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||||
margin-top: 0;
|
||||
margin-bottom: 0;
|
||||
}
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||||
}
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||||
@media (min-width: 1200px) {
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||||
/* Widen the fixed sidebar again */
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||||
.bs-sidebar.affix-bottom,
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||||
.bs-sidebar.affix {
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||||
width: 263px;
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||||
}
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||||
}
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||||
|
||||
|
||||
/* Added to support >2 level nav in drop down */
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||||
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||||
.dropdown-submenu {
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||||
position: relative;
|
||||
}
|
||||
|
||||
.dropdown-submenu>.dropdown-menu {
|
||||
top: 0;
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||||
left: 100%;
|
||||
margin-top: 0px;
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||||
margin-left: 0px;
|
||||
}
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||||
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||||
.dropdown-submenu:hover>.dropdown-menu {
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||||
display: block;
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||||
}
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||||
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||||
.dropdown-submenu>a:after {
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||||
display: block;
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||||
content: " ";
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||||
float: right;
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||||
width: 0;
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||||
height: 0;
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||||
border-color: transparent;
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||||
border-style: solid;
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||||
border-width: 5px 0 5px 5px;
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||||
border-left-color: #ccc;
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||||
margin-top: 5px;
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||||
margin-right: -10px;
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||||
}
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||||
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.dropdown-submenu:hover>a:after {
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||||
border-left-color: #fff;
|
||||
}
|
||||
|
||||
.dropdown-submenu.pull-left {
|
||||
float: none;
|
||||
}
|
||||
|
||||
.dropdown-submenu.pull-left>.dropdown-menu {
|
||||
left: -100%;
|
||||
margin-left: 00px;
|
||||
}
|
||||
/* Start Bootstrap Callouts CSS Source by Chris Pratt (https://codepen.io/chrisdpratt/pen/IAymB) MIT License*/
|
||||
.bs-callout {
|
||||
padding: 20px;
|
||||
margin: 20px 0;
|
||||
border: 1px solid #eee;
|
||||
border-left-width: 5px;
|
||||
border-radius: 3px;
|
||||
background-color: #FCFDFF;
|
||||
}
|
||||
.bs-callout h4 {
|
||||
font-style: normal;
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||||
font-weight: 400;
|
||||
margin-top: 0;
|
||||
margin-bottom: 5px;
|
||||
}
|
||||
.bs-callout p:last-child {
|
||||
margin-bottom: 0;
|
||||
}
|
||||
.bs-callout code {
|
||||
border-radius: 3px;
|
||||
}
|
||||
.bs-callout+.bs-callout {
|
||||
margin-top: -5px;
|
||||
}
|
||||
.bs-callout-default {
|
||||
border-left-color: #FA023C; /*modified from upstream default by Christopher Simpkins*/
|
||||
}
|
||||
.bs-callout-default h4 {
|
||||
color: #FA023C; /*modified from upstream default by Christopher Simpkins*/
|
||||
}
|
||||
.bs-callout-primary {
|
||||
border-left-color: #428bca;
|
||||
}
|
||||
.bs-callout-primary h4 {
|
||||
color: #428bca;
|
||||
}
|
||||
.bs-callout-success {
|
||||
border-left-color: #5cb85c;
|
||||
}
|
||||
.bs-callout-success h4 {
|
||||
color: #5cb85c;
|
||||
}
|
||||
.bs-callout-danger {
|
||||
border-left-color: #d9534f;
|
||||
}
|
||||
.bs-callout-danger h4 {
|
||||
color: #d9534f;
|
||||
}
|
||||
.bs-callout-warning {
|
||||
border-left-color: #f0ad4e;
|
||||
}
|
||||
.bs-callout-warning h4 {
|
||||
color: #f0ad4e;
|
||||
}
|
||||
.bs-callout-info {
|
||||
border-left-color: #5bc0de;
|
||||
}
|
||||
.bs-callout-info h4 {
|
||||
color: #5bc0de;
|
||||
}
|
||||
/* End Bootstrap Callouts CSS Source by Chris Pratt */
|
||||
|
||||
/* Admonitions */
|
||||
.admonition {
|
||||
padding: 20px;
|
||||
margin: 20px 0;
|
||||
border: 1px solid #eee;
|
||||
border-left-width: 5px;
|
||||
border-radius: 3px;
|
||||
background-color: #FCFDFF;
|
||||
}
|
||||
|
||||
.admonition p:last-child {
|
||||
margin-bottom: 0;
|
||||
}
|
||||
.admonition code {
|
||||
border-radius: 3px;
|
||||
}
|
||||
.admonition+.admonition {
|
||||
margin-top: -5px;
|
||||
}
|
||||
|
||||
.admonition.note { /* csslint allow: adjoining-classes */
|
||||
border-left-color: #428bca;
|
||||
}
|
||||
|
||||
.admonition.warning { /* csslint allow: adjoining-classes */
|
||||
border-left-color: #f0ad4e;
|
||||
}
|
||||
|
||||
.admonition.danger { /* csslint allow: adjoining-classes */
|
||||
border-left-color: #d9534f;
|
||||
}
|
||||
|
||||
.admonition-title {
|
||||
font-size: 19px;
|
||||
font-style: normal;
|
||||
font-weight: 400;
|
||||
margin-top: 0;
|
||||
margin-bottom: 5px;
|
||||
}
|
||||
|
||||
.admonition.note > .admonition-title {
|
||||
color: #428bca;
|
||||
}
|
||||
|
||||
.admonition.warning > .admonition-title {
|
||||
color: #f0ad4e;
|
||||
}
|
||||
|
||||
.admonition.danger > .admonition-title {
|
||||
color: #d9534f;
|
||||
}
|
||||
@ -0,0 +1 @@
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<li class="first-level active"><a href="#data-format">Data Format</a></li>
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|
||||
|
||||
<li class="third-level"><a href="#time-series-parameters">Time series parameters</a></li>
|
||||
<li class="third-level"><a href="#current-limitations">Current limitations</a></li>
|
||||
</ul>
|
||||
</div></div>
|
||||
<div class="col-md-9" role="main">
|
||||
|
||||
<h1 id="data-format">Data Format</h1>
|
||||
<p>Instances are specified by JSON files containing the following main sections:</p>
|
||||
<ul>
|
||||
<li><a href="#parameters">Parameters</a></li>
|
||||
<li><a href="#buses">Buses</a></li>
|
||||
<li><a href="#generators">Generators</a></li>
|
||||
<li><a href="#price-sensitive-loads">Price-sensitive loads</a></li>
|
||||
<li><a href="#transmission-lines">Transmission lines</a></li>
|
||||
<li><a href="#reserves">Reserves</a></li>
|
||||
<li><a href="#contingencies">Contingencies</a></li>
|
||||
</ul>
|
||||
<p>Each section is described in detail below. For a complete example, see <a href="https://github.com/ANL-CEEESA/UnitCommitment.jl/blob/dev/instances/matpower-24h/case14.json">case14.json</a>.</p>
|
||||
<h2 id="parameters">Parameters</h2>
|
||||
<p>This section describes system-wide parameters, such as power balance penalties, and optimization parameters, such as the length of the planning horizon.</p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th align="center">Default</th>
|
||||
<th align="center">Time series?</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Time (h)</code></td>
|
||||
<td align="left">Length of the planning horizon (in hours)</td>
|
||||
<td align="center">Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Power balance penalty ($/MW)</code></td>
|
||||
<td align="left">Penalty for system-wide shortage or surplus in production (in $/MW). This is charged per time period. For example, if there is a shortage of 1 MW for three time periods, three times this amount will be charged.</td>
|
||||
<td align="center"><code>1000.0</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="example">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Parameters": {
|
||||
"Time (h)": 4,
|
||||
"Power balance penalty ($/MW)": 1000.0
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="buses">Buses</h2>
|
||||
<p>This section describes the characteristics of each bus in the system. </p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th>Default</th>
|
||||
<th align="center">Time series?</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Load (MW)</code></td>
|
||||
<td align="left">Fixed load connected to the bus (in MW).</td>
|
||||
<td>Required</td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="example_1">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Buses": {
|
||||
"b1": {
|
||||
"Load (MW)": 0.0
|
||||
},
|
||||
"b2": {
|
||||
"Load (MW)": [
|
||||
26.01527,
|
||||
24.46212,
|
||||
23.29725,
|
||||
22.90897
|
||||
]
|
||||
}
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="generators">Generators</h2>
|
||||
<p>This section describes all generators in the system, including thermal units, renewable units and virtual units.</p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th>Default</th>
|
||||
<th align="center">Time series?</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Bus</code></td>
|
||||
<td align="left">Identifier of the bus where this generator is located (string)</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Production cost curve (MW)</code> and <code>Production cost curve ($)</code></td>
|
||||
<td align="left">Parameters describing the piecewise-linear production costs. See below for more details.</td>
|
||||
<td>Required</td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Startup costs ($)</code> and <code>Startup delays (h)</code></td>
|
||||
<td align="left">Parameters describing how much it costs to start the generator after it has been shut down for a certain amount of time. If <code>Startup costs ($)</code> and <code>Startup delays (h)</code> are set to <code>[300.0, 400.0]</code> and <code>[1, 4]</code>, for example, and the generator is shut down at time <code>t</code>, then it costs 300 to start up the generator at times <code>t+1</code>, <code>t+2</code> or <code>t+3</code>, and 400 to start the generator at time <code>t+4</code> or any time after that. The number of startup cost points is unlimited, and may be different for each generator. Startup delays must be strictly increasing.</td>
|
||||
<td><code>[0.0]</code> and <code>[1]</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Minimum uptime (h)</code></td>
|
||||
<td align="left">Minimum amount of time the generator must stay operational after starting up (in hours). For example, if the generator starts up at time 1 and <code>Minimum uptime (h)</code> is set to 4, then the generator can only shut down at time 5.</td>
|
||||
<td><code>1</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Minimum downtime (h)</code></td>
|
||||
<td align="left">Minimum amount of time the generator must stay offline after shutting down (in hours). For example, if the generator shuts down at time 1 and <code>Minimum downtime (h)</code> is set to 4, then the generator can only start producing power again at time 5.</td>
|
||||
<td><code>1</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Ramp up limit (MW)</code></td>
|
||||
<td align="left">Maximum increase in production from one time period to the next (in MW). For example, if the generator is producing 100 MW at time 1 and if this parameter is set to 40 MW, then the generator will produce at most 140 MW at time 2.</td>
|
||||
<td><code>+inf</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Ramp down limit (MW)</code></td>
|
||||
<td align="left">Maximum decrease in production from one time period to the next (in MW). For example, if the generator is producing 100 MW at time 1 and this parameter is set to 40 MW, then the generator will produce at least 60 MW at time 2.</td>
|
||||
<td><code>+inf</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Startup limit (MW)</code></td>
|
||||
<td align="left">Maximum amount of power a generator can produce immediately after starting up (in MW).</td>
|
||||
<td><code>+inf</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Shutdown limit (MW)</code></td>
|
||||
<td align="left">Maximum amount of power a generator can produce immediately before shutting down (in MW). Specifically, the generator can only shut down at time <code>t+1</code> if its production at time <code>t</code> is below this limit.</td>
|
||||
<td><code>+inf</code></td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Initial status (h)</code></td>
|
||||
<td align="left">If set to a positive number, indicates the amount of time the generator has been on at the beginning of the simulation, and if set to a negative number, the amount of time the generator has been off. For example, if <code>Initial status (h)</code> is <code>-2</code>, this means that the generator was off at simulation time <code>-2</code> and <code>-1</code>. The simulation starts at time <code>0</code>.</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Initial power (MW)</code></td>
|
||||
<td align="left">Amount of power the generator at time period <code>-1</code>, immediately before the planning horizon starts.</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Must run?</code></td>
|
||||
<td align="left">If <code>true</code>, the generator should be committed, even that is not economical (Boolean).</td>
|
||||
<td><code>false</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Provides spinning reserves?</code></td>
|
||||
<td align="left">If <code>true</code>, this generator may provide spinning reserves (Boolean).</td>
|
||||
<td><code>true</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="production-costs-and-limits">Production costs and limits</h3>
|
||||
<p>Production costs are represented as piecewise-linear curves. Figure 1 shows an example cost curve with three segments, where it costs 1400, 1600, 2200 and 2400 dollars to generate, respectively, 100, 110, 130 and 135 MW of power. To model this generator, <code>Production cost curve (MW)</code> should be set to <code>[100, 110, 130, 135]</code>, and <code>Production cost curve ($)</code> should be set to <code>[1400, 1600, 2200, 2400]</code>.
|
||||
Note that this curve also specifies the production limits. Specifically, the first point identifies the minimum power output when the unit is operational, while the last point identifies the maximum power output.</p>
|
||||
<p><center>
|
||||
<img src="../images/cost_curve.png" style="max-width: 500px"/>
|
||||
<div><b>Figure 1.</b> Piecewise-linear production cost curve.</div>
|
||||
<br/>
|
||||
</center></p>
|
||||
<p><strong>Additional remarks:</strong></p>
|
||||
<ul>
|
||||
<li>For time-dependent production limits or time-dependent production costs, the usage of nested arrays is allowed. For example, if <code>Production cost curve (MW)</code> is set to <code>[5.0, [10.0, 12.0, 15.0, 20.0]]</code>, then the unit may generate at most 10, 12, 15 and 20 MW of power during time periods 1, 2, 3 and 4, respectively. The minimum output for all time periods is fixed to at 5 MW.</li>
|
||||
<li>There is no limit to the number of piecewise-linear segments, and different generators may have a different number of segments.</li>
|
||||
<li>If <code>Production cost curve (MW)</code> and <code>Production cost curve ($)</code> both contain a single element, then the generator must produce exactly that amount of power when operational. To specify that the generator may produce any amount of power up to a certain limit <code>P</code>, the parameter <code>Production cost curve (MW)</code> should be set to <code>[0, P]</code>. </li>
|
||||
<li>Production cost curves must be convex.</li>
|
||||
</ul>
|
||||
<h3 id="example_2">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Generators": {
|
||||
"gen1": {
|
||||
"Bus": "b1",
|
||||
"Production cost curve (MW)": [100.0, 110.0, 130.0, 135.0],
|
||||
"Production cost curve ($)": [1400.0, 1600.0, 2200.0, 2400.0],
|
||||
"Startup costs ($)": [300.0, 400.0],
|
||||
"Startup delays (h)": [1, 4],
|
||||
"Ramp up limit (MW)": 232.68,
|
||||
"Ramp down limit (MW)": 232.68,
|
||||
"Startup limit (MW)": 232.68,
|
||||
"Shutdown limit (MW)": 232.68,
|
||||
"Minimum downtime (h)": 4,
|
||||
"Minimum uptime (h)": 4,
|
||||
"Initial status (h)": 12,
|
||||
"Must run?": false,
|
||||
"Provides spinning reserves?": true,
|
||||
},
|
||||
"gen2": {
|
||||
"Bus": "b5",
|
||||
"Production cost curve (MW)": [0.0, [10.0, 8.0, 0.0, 3.0]],
|
||||
"Production cost curve ($)": [0.0, 0.0],
|
||||
"Provides spinning reserves?": true,
|
||||
}
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="price-sensitive-loads">Price-sensitive loads</h2>
|
||||
<p>This section describes components in the system which may increase or reduce their energy consumption according to the energy prices. Fixed loads (as described in the <code>buses</code> section) are always served, regardless of the price, unless there is significant congestion in the system or insufficient production capacity. Price-sensitive loads, on the other hand, are only served if it is economical to do so. </p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th align="center">Default</th>
|
||||
<th align="center">Time series?</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Bus</code></td>
|
||||
<td align="left">Bus where the load is located. Multiple price-sensitive loads may be placed at the same bus.</td>
|
||||
<td align="center">Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Revenue ($/MW)</code></td>
|
||||
<td align="left">Revenue obtained for serving each MW of power to this load.</td>
|
||||
<td align="center">Required</td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Demand (MW)</code></td>
|
||||
<td align="left">Maximum amount of power required by this load. Any amount lower than this may be served.</td>
|
||||
<td align="center">Required</td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="example_3">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Price-sensitive loads": {
|
||||
"p1": {
|
||||
"Bus": "b3",
|
||||
"Revenue ($/MW)": 23.0,
|
||||
"Demand (MW)": 50.0
|
||||
}
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="transmission-lines">Transmission Lines</h2>
|
||||
<p>This section describes the characteristics of transmission system, such as its topology and the susceptance of each transmission line.</p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th>Default</th>
|
||||
<th align="center">Time series?</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Source bus</code></td>
|
||||
<td align="left">Identifier of the bus where the transmission line originates.</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Target bus</code></td>
|
||||
<td align="left">Identifier of the bus where the transmission line reaches.</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Reactance (ohms)</code></td>
|
||||
<td align="left">Reactance of the transmission line (in ohms).</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Susceptance (S)</code></td>
|
||||
<td align="left">Susceptance of the transmission line (in siemens).</td>
|
||||
<td>Required</td>
|
||||
<td align="center">N</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Normal flow limit (MW)</code></td>
|
||||
<td align="left">Maximum amount of power (in MW) allowed to flow through the line when the system is in its regular, fully-operational state. May be <code>null</code> is there is no limit.</td>
|
||||
<td><code>+inf</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Emergency flow limit (MW)</code></td>
|
||||
<td align="left">Maximum amount of power (in MW) allowed to flow through the line when the system is in degraded state (for example, after the failure of another transmission line).</td>
|
||||
<td><code>+inf</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Flow limit penalty ($/MW)</code></td>
|
||||
<td align="left">Penalty for violating the flow limits of the transmission line (in $/MW). This is charged per time period. For example, if there is a thermal violation of 1 MW for three time periods, three times this amount will be charged.</td>
|
||||
<td><code>5000.0</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="example_4">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Transmission lines": {
|
||||
"l1": {
|
||||
"Source bus": "b1",
|
||||
"Target bus": "b2",
|
||||
"Reactance (ohms)": 0.05917,
|
||||
"Susceptance (S)": 29.49686,
|
||||
"Normal flow limit (MW)": 15000.0,
|
||||
"Emergency flow limit (MW)": 20000.0,
|
||||
"Flow limit penalty ($/MW)": 5000.0
|
||||
}
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="reserves">Reserves</h2>
|
||||
<p>This section describes the hourly amount of operating reserves required.</p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th>Default</th>
|
||||
<th align="center">Time series?</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Spinning (MW)</code></td>
|
||||
<td align="left">Minimum amount of system-wide spinning reserves (in MW). Only generators which are online may provide this reserve.</td>
|
||||
<td><code>0.0</code></td>
|
||||
<td align="center">Y</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="example_5">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Reserves": {
|
||||
"Spinning (MW)": [
|
||||
57.30552,
|
||||
53.88429,
|
||||
51.31838,
|
||||
50.46307
|
||||
]
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="contingencies">Contingencies</h2>
|
||||
<p>This section describes credible contingency scenarios in the optimization, such as the loss of a transmission line or generator.</p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Key</th>
|
||||
<th align="left">Description</th>
|
||||
<th>Default</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>Affected generators</code></td>
|
||||
<td align="left">List of generators affected by this contingency. May be omitted if no generators are affected.</td>
|
||||
<td><code>[]</code></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>Affected lines</code></td>
|
||||
<td align="left">List of transmission lines affected by this contingency. May be omitted if no lines are affected.</td>
|
||||
<td><code>[]</code></td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h3 id="example_6">Example</h3>
|
||||
<pre><code class="json">{
|
||||
"Contingencies": {
|
||||
"c1": {
|
||||
"Affected lines": ["l1", "l2", "l3"],
|
||||
"Affected generators": ["g1"]
|
||||
},
|
||||
"c2": {
|
||||
"Affected lines": ["l4"]
|
||||
},
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h2 id="additional-remarks">Additional remarks</h2>
|
||||
<h3 id="time-series-parameters">Time series parameters</h3>
|
||||
<p>Many numerical properties in the JSON file can be specified either as a single floating point number if they are time-independent, or as an array containing exactly <code>T</code> elements, where <code>T</code> is the length of the planning horizon, if they are time-dependent. For example, both formats below are valid when <code>T=3</code>:</p>
|
||||
<pre><code class="json">{
|
||||
"Load (MW)": 800.0,
|
||||
"Load (MW)": [800.0, 850.0, 730.0]
|
||||
}
|
||||
</code></pre>
|
||||
|
||||
<h3 id="current-limitations">Current limitations</h3>
|
||||
<ul>
|
||||
<li>All reserves are system-wide (no zonal reserves)</li>
|
||||
<li>Network topology remains the same for all time periods</li>
|
||||
<li>Only N-1 transmission contingencies are supported. Generator contingencies are not supported.</li>
|
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<h1 id="unitcommitmentjl">UnitCommitment.jl</h1>
|
||||
<p><strong>UnitCommitment.jl</strong> is an optimization package for the Security-Constrained Unit Commitment Problem (SCUC), a fundamental optimization problem in power systems which is used, for example, to clear the day-ahead electricity markets. The problem asks for the most cost-effective power generation schedule under a number of physical, operational and economic constraints.</p>
|
||||
<h3 id="package-components">Package Components</h3>
|
||||
<ul>
|
||||
<li><strong>Data Format:</strong> The package proposes an extensible and fully-documented JSON-based data specification format for SCUC, developed in collaboration with Independent System Operators (ISOs), which describes the most important aspects of the problem.</li>
|
||||
<li><strong>Benchmark Instances:</strong> The package provides a diverse collection of large-scale benchmark instances collected from the literature and extended to make them more challenging and realistic, based on publicly available data from ISOs.</li>
|
||||
<li><strong>Model Implementation</strong>: The package provides a Julia/JuMP implementation of state-of-the-art formulations and solution methods for SCUC. Our goal is to keep this implementation up-to-date, as new methods are proposed in the literature.</li>
|
||||
<li><strong>Benchmark Tools:</strong> The package provides automated benchmark scripts to accurately evaluate the performance impact of proposed code changes.</li>
|
||||
</ul>
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<h3 id="contents">Contents</h3>
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|
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<li><a href="install/">Installation Guide</a></li>
|
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<li><a href="format/">Data Format Specification</a></li>
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|
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<h3 id="authors">Authors</h3>
|
||||
<ul>
|
||||
<li><strong>Alinson Santos Xavier,</strong> Argonne National Laboratory</li>
|
||||
<li><strong>Feng Qiu,</strong> Argonne National Laboratory</li>
|
||||
</ul>
|
||||
<h3 id="collaborators">Collaborators</h3>
|
||||
<ul>
|
||||
<li><strong>Yonghong Chen,</strong> Midcontinent Independent System Operator</li>
|
||||
<li><strong>Feng Pan,</strong> Pacific Northwest National Laboratory</li>
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<h1 id="linear-sensitivity-factors">Linear Sensitivity Factors</h1>
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<p>UnitCommitment.jl includes a number of functions to compute typical linear sensitivity
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factors, such as <a href="@ref">Injection Shift Factors</a> and <a href="@ref">Line Outage Distribution Factors</a>. These sensitivity factors can be used to quickly compute DC power flows in both base and N-1 contigency scenarios.</p>
|
||||
<h2 id="injection-shift-factors">Injection Shift Factors</h2>
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||||
<p>Given a network with <code>B</code> buses and <code>L</code> transmission lines, the Injection Shift Factors (ISF) matrix is an <code>L</code>-by-<code>B</code> matrix which indicates much power flows through a certain transmission line when 1 MW of power is injected at bus <code>b</code> and withdrawn from the slack bus. For example, <code>isf[:l7, :b5]</code> indicates the amount of power (in MW) that flows through line <code>l7</code> when 1 MW of power is injected at bus <code>b5</code> and withdrawn from the slack bus.
|
||||
This matrix is computed based on the DC linearization of power flow equations and does not include losses.
|
||||
To compute the ISF matrix, the function <code>injection_shift_factors</code> can be used. It is necessary to specify the set of lines, buses and the slack bus:</p>
|
||||
<pre><code class="julia">using UnitCommitment
|
||||
instance = UnitCommitment.load("ieee_rts/case14")
|
||||
isf = UnitCommitment.injection_shift_factors(lines = instance.lines,
|
||||
buses = instance.buses,
|
||||
slack = :b14)
|
||||
@show isf[:l7, :b5]
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<li class="first-level active"><a href="#benchmark-model">Benchmark Model</a></li>
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<li class="second-level"><a href="#building-and-solving-the-model">Building and Solving the Model</a></li>
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<li class="second-level"><a href="#decision-variables">Decision Variables</a></li>
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<li class="second-level"><a href="#accessing-the-solution">Accessing the Solution</a></li>
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<li class="second-level"><a href="#modifying-the-model">Modifying the Model</a></li>
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<li class="second-level"><a href="#reference">Reference</a></li>
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<div class="col-md-9" role="main">
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<h1 id="benchmark-model">Benchmark Model</h1>
|
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<p>UnitCommitment.jl includes a reference Mixed-Integer Linear Programming
|
||||
(MILP), built with <a href="https://github.com/JuliaOpt/JuMP.jl">JuMP</a>, which can
|
||||
either be used as-is to solve instances of the problem, or be extended to
|
||||
build more complex formulations.</p>
|
||||
<h2 id="building-and-solving-the-model">Building and Solving the Model</h2>
|
||||
<p>Given an instance and a JuMP optimizer, the function <code>build_model</code> can be used to
|
||||
build the reference MILP model. For example:</p>
|
||||
<pre><code class="julia">using UnitCommitment, JuMP, Cbc
|
||||
instance = UnitCommitment.load("ieee_rts/case118")
|
||||
model = build_model(instance, with_optimizer(Cbc.Optimizer))
|
||||
</code></pre>
|
||||
|
||||
<p>The model enforces all unit constraints described in <a href="@ref">Unit Commitment
|
||||
Instances</a>, including ramping, minimum-up and minimum-down times. Some
|
||||
system-wide constraints, such as spinning reserves, are also enforced. The
|
||||
model, however, does not enforce transmission or N-1 security constraints,
|
||||
since these are typically generated on-the-fly.</p>
|
||||
<p>A reference to the JuMP model is stored at <code>model.mip</code>. After constructed, the model can
|
||||
be optimized as follows:</p>
|
||||
<pre><code class="julia">optimize!(model.mip)
|
||||
</code></pre>
|
||||
|
||||
<h2 id="decision-variables">Decision Variables</h2>
|
||||
<p>References to all decision variables are stored at <code>model.vars</code>.
|
||||
A complete list of available decision variables is as follows:</p>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th align="left">Variable</th>
|
||||
<th align="left">Description</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.production[gi,t]</code></td>
|
||||
<td align="left">Amount of power (in MW) produced by unit with index <code>gi</code> at time <code>t</code>.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.reserve[gi,t]</code></td>
|
||||
<td align="left">Amount of spinning reserves (in MW) provided by unit with index <code>gi</code> at time <code>t</code>.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.is_on[gi,t]</code></td>
|
||||
<td align="left">Binary variable indicating if unit with index <code>gi</code> is operational at time <code>t</code>.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.switch_on[gi,t]</code></td>
|
||||
<td align="left">Binary variable indicating if unit with index <code>gi</code> was switched on at time <code>t</code>. That is, the unit was not operational at time <code>t-1</code>, but it is operational at time <code>t</code>.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.switch_off[gi,t]</code></td>
|
||||
<td align="left">Binary variable indicating if unit with index <code>gi</code> was switched off at time <code>t</code>. That is, the unit was operational at time <code>t-1</code>, but it is no longer operational at time <code>t</code>.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.unit_cost[gi,t]</code></td>
|
||||
<td align="left">The total cost to operate unit with index <code>gi</code> at time <code>t</code>. Includes start-up costs, no-load costs and any other production costs.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.cost[t]</code></td>
|
||||
<td align="left">Total cost at time <code>t</code>.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td align="left"><code>model.vars.net_injection[bi,t]</code></td>
|
||||
<td align="left">Total net injection (in MW) at bus with index <code>bi</code> and time <code>t</code>. Net injection is defined as the total power being produced by units located at the bus minus the bus load.</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
<h2 id="accessing-the-solution">Accessing the Solution</h2>
|
||||
<p>To access the value of a particular decision variable after the
|
||||
optimization is completed, the function <code>JuMP.value(var)</code> can be used. The
|
||||
following example prints the amount of power (in MW) produced by each unit at time 5:</p>
|
||||
<pre><code class="julia">for g in instance.units
|
||||
@show value(model.vars.production[g.index, 5])
|
||||
end
|
||||
</code></pre>
|
||||
|
||||
<h2 id="modifying-the-model">Modifying the Model</h2>
|
||||
<p>Prior to being solved, the reference model can be modified by using the variable references
|
||||
above and conventional JuMP macros. For example, the
|
||||
following code can be used to ensure that at most 10 units are operational at time 4:</p>
|
||||
<pre><code class="julia">using UnitCommitment, JuMP, Cbc
|
||||
instance = UnitCommitment.load("ieee_rts/case118")
|
||||
model = build_model(instance, with_optimizer(Cbc.Optimizer))
|
||||
|
||||
@contraint(model.mip,
|
||||
sum(model.vars.is_on[g.index, 4]
|
||||
for g in instance.units) <= 10)
|
||||
|
||||
optimize!(model.mip)
|
||||
</code></pre>
|
||||
|
||||
<p>It is not currently possible to modify the constraints included in the
|
||||
reference model.</p>
|
||||
<h2 id="reference">Reference</h2>
|
||||
<p><code>@docs
|
||||
UnitCommitment.build_model</code></p></div>
|
||||
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<li class="first-level active"><a href="#benchmark-solver">Benchmark Solver</a></li>
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<li class="second-level"><a href="#usage">Usage</a></li>
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<h1 id="benchmark-solver">Benchmark Solver</h1>
|
||||
<p>Solving an instance of the Unit Commitment problem typically involves more
|
||||
than simply building a Mixed-Integer Linear Programming and handing it over to the
|
||||
solver. Since the number of transmission and N-1 security constraints can
|
||||
easily exceed hundreds of millions for large instances of the problem, it is often
|
||||
necessary to iterate between MILP optimization and contingency screening, so
|
||||
that only necessary transmission constraints are added to the MILP.</p>
|
||||
<p><code>UnitCommitment.jl</code> includes a fast implementation of the contingency
|
||||
screening method described in
|
||||
<a href="https://doi.org/10.1109/TPWRS.2019.2892620">[1]</a>, which is able to
|
||||
efficiently handle even ISO-scale instances of the problem. The method makes
|
||||
use of Injection Shift Factors (ISFs) and Line Outage Distribution Factors
|
||||
(LODFs) to model DC power flows and N-1 contingencies. If Julia is configured
|
||||
to use multiple threads (through the environment variable <code>JULIA_NUM_THREADS</code>)
|
||||
then multiple contingency scenarios are evaluated in parallel.</p>
|
||||
<h2 id="usage">Usage</h2>
|
||||
<p>To solve one of the benchmark instances using the included benchmark solver, use the method <code>UnitCommitment.solve</code>
|
||||
as shown in the example below.</p>
|
||||
<pre><code>julia> UnitCommitment.solve("ieee_rts/case118")
|
||||
[ Info: Loading instance: ieee_rts/case118
|
||||
[ Info: 54 units
|
||||
[ Info: 118 buses
|
||||
[ Info: 186 lines
|
||||
[ Info: Scaling problem (0.6 demands, 1.0 limits)...
|
||||
[ Info: Using Cbc as MILP solver (0.001 gap, 4 threads)
|
||||
[ Info: Computing sensitivity factors (0.001 ISF cutoff, 0.0001 LODF cutoff)...
|
||||
[ Info: Building MILP model (24 hours, 0.01 reserve)...
|
||||
[ Info: Optimizing...
|
||||
[ Info: Optimal value: 4.033106e+06
|
||||
[ Info: Solved in 8.73 seconds
|
||||
</code></pre>
|
||||
<p>With default settings, the solver does not consider any transmission or
|
||||
security constraints, and the peak load is automatically set to 60% of the
|
||||
installed capacity of the system. These, and many other settings, can be
|
||||
configured using keyword arguments. See the reference section below for more
|
||||
details. Sample usage:</p>
|
||||
<pre><code>julia> UnitCommitment.solve("ieee_rts/case118", demand_scale=0.7, security=true)
|
||||
[ Info: Loading instance: ieee_rts/case118
|
||||
[ Info: 54 units
|
||||
[ Info: 118 buses
|
||||
[ Info: 186 lines
|
||||
[ Info: Scaling problem (0.7 demands, 1.0 limits)...
|
||||
[ Info: Using Cbc as MILP solver (0.001 gap, 4 threads)
|
||||
[ Info: Computing sensitivity factors (0.001 ISF cutoff, 0.0001 LODF cutoff)...
|
||||
[ Info: Building MILP model (24 hours, 0.01 reserve)...
|
||||
[ Info: Optimizing...
|
||||
[ Info: Verifying flow constraints...
|
||||
[ Info: Optimal value: 4.888740e+06
|
||||
[ Info: Solved in 4.50 seconds
|
||||
</code></pre>
|
||||
<p>When transmission or N-1 security constraints are activated, the solver uses an
|
||||
iterative method to lazily enforce them. See <a href="https://doi.org/10.1109/TPWRS.2019.2892620">this
|
||||
paper</a> for a detailed description
|
||||
of the method. Injection Shift Factors (ISF) and Line Outage Distribution
|
||||
Factors (LODF) are used for the computation of DC power flows. </p>
|
||||
<div class="admonition note">
|
||||
<p class="admonition-title">Note</p>
|
||||
<p>Many of the benchmark instances were not originally designed for N-1
|
||||
security-constrained studies, and may become infeasible if these constraints
|
||||
are enforced. To avoid infeasibilities, the transmission limits can be
|
||||
increased through the keyword argument <code>limit_scale</code>.</p>
|
||||
</div>
|
||||
<p>By default, the MILP is solved using <a href="https://github.com/coin-or/Cbc">Cbc, the COIN-OR Branch and Cut
|
||||
solver</a>. If <code>UnitCommitment</code> is loaded after
|
||||
either <a href="https://github.com/JuliaOpt/CPLEX.jl">CPLEX</a> or
|
||||
<a href="https://github.com/SCIP-Interfaces/SCIP.jl">SCIP</a>, then these solvers will be
|
||||
used instead. A detailed solver log can be displayed by setting <code>verbose=true</code>.</p>
|
||||
<h2 id="reference">Reference</h2>
|
||||
<p><code>@docs
|
||||
UnitCommitment.solve</code></p></div>
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||||
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||||
|
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