Analytic Loss Minimization: A Proof

Loss minimizing generator dispatch profiles for power systems are usually derived using optimization techniques. However, some authors have noted that a system’s KGL matrix can be used to analytically determine a loss minimizing dispatch. This letter draws on recent research on the characterization of transmission system losses to demonstrate how the KGL matrix achieves this. A new proof of the observed zero row summation property of the YGGM matrix is provided to this end.