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 K GL 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 K GL matrix achieves this. A new proof of the observed zero row summation property of the Y GGM matrix is provided to this end.