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\section{Minimizing Losses}  Recall that, taken together, (\ref{eq:TotalLossExpand}) and the newly demonstrated zero row sum property of $Y_{GGM}$, imply that losses are minimized when generator voltages are equalized. As such, an optimal dispatch can be directly calculated by setting all $V_{G}$ equal to the slack value, $1∠0^°$, and solving the resulting loadflow problem by the familiar iterative techniques.  More insightfully, though, one can use the previously derived block matrix to see how this optimal dispatch relates to load current demands. Recall from (\ref{eq:YMod}):  \begin{equation}   \label{eq:IGAgain}  I_{G} = K_{GL}I_{L} + Y_{GGM}V_{G}  \end{equation}  Minimum loss conditions implies that $V_{G}$ is homogeneous, and so the second term of (\ref{eq:IGAgain}), reduces to zero. Under these ideal conditions:  \begin{equation}   \label{eq:OptGenCurrent}  I_{G} = K_{GL}I_{L} \approx S^{Opt}_{G}  \end{equation}  The equivalence of $I_{G}$ and $S_{G}$ in these conditions is assured because generator voltages are all at the slack value. Assuming that load voltages are close to this value, we can further state that $S_{L} \approx I_{L}$. This interpretation of (\ref{eq:OptGenCurrent}) in power terms explicitly shows how to use the $K_{GL}$ in conjunction with nodal load demands to derive a generator dispatch that precludes circulating current losses. This is equivalent to the loss-minimizing formula presented without proof in e.g \cite{Thukaram_2008}.