deletions | additions       diff --git a/Minimizing Losses.tex b/Minimizing Losses.tex  index 3a89c3b..38967eb 100644  --- a/Minimizing Losses.tex  +++ b/Minimizing Losses.tex 
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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}  S^{Opt}_{G} =  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{Visakha_2004}.