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Paul Cuffe edited Minimizing Losses.tex
about 9 years ago
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An exact way to find the optimal generator dispatch is simply to set all $V_{G}$ equal to the slack value, $1∠0^°$, and solve the resulting loadflow problem by the familiar iterative techniques. Software such as [9] permits this approach.
More insightfully, though, one can use the previously derived block matrix equations to derive an expression for this optimal generator dispatch. Recall from (\ref{eq:YMod}):
\begin{equation}
\label{eq:IGAgain}
I_{G} = K_{GL}I_{L} + Y_{GGM}V_{G}
\end{equation}
This gives two terms for $I_{G}$, which the system operator can control by generator dispatch. Under minimum loss conditions, (\ref{eq:TotalLossExpand}) implies that $V_{G}$ is homogeneous, and so the second term of (), corresponding to current circulated between generators, reduces to zero. Under these ideal conditions: