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<li class="first-level active"><a href="#linear-sensitivity-factors">Linear Sensitivity Factors</a></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>
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<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 and withdrawn from the slack bus.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 and withdrawn from the slack bus.
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This matrix is computed based on the DC linearization of power flow equations and does not include losses.
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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>
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<pre><code class="julia">using UnitCommitment
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instance = UnitCommitment.load("ieee_rts/case14")
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isf = UnitCommitment.injection_shift_factors(lines = instance.lines,
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buses = instance.buses,
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slack = :b14)
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@show isf[:l7, :b5]
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</code></pre></div>
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