Paul Cuffe edited Minimizing Losses.tex  about 9 years ago

Commit id: 87209e2842c6633e1856526b21067042302d12b0

deletions | additions      

       

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: