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In power engineering, theY  b u sis a symmetricN × Nsquare matrix describing a power system network with N buses. By partitioning, manipulating and using its symmetry properties, it is possible to derive theK  G LandY  G G Mmatrices, 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 ofY  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.

Analytic Loss Minimization: Theoretical Framework of a Second Order Optimization Method