Analytic loss minimization: theoretical framework of a second order optimization method (Q2003756)

Summary: In power engineering, the \(Y_{b u s}\) is a symmetric \(N \times N\) square matrix describing a power system network with \(N\) buses. By partitioning, manipulating and using its symmetry properties, it is possible to derive the \(K_{G L}\) and \(Y_{G G M}\) matrices, which are useful to define a loss minimisation dispatch for generators. This article focuses on the case of constant-current loads and studies the theoretical framework of a second order optimization method for analytic loss minimization by taking into account the symmetry properties of \(Y_{b u s}\). We define an appropriate matrix functional of several variables with complex elements and aim to obtain the minimum values of generator voltages.