A Reactive Power Optimization Method of Multi-area Power Systems Based on Approximate Newton Directions and GMRES Algorithm

摘要

This paper presents a new algorithm for solving reactive power optimization problem of multi-area power systems based on approximate Newton directions and Generalized Minimal Residual (GMRES) algorithm. According to nonlinear primal-dual interior-point (NPDIP) method, approximate Newton directions are constructed during iteration and hence the weak coupling system can be fully decomposed. This decomposition method can converge locally to the optimum at a linear rate and is faster than the NPDIP. But strong coupling systems, which can not be decoupled like the weak coupling one, can be further solved by means of a preconditioned GMRES method. The approximate Newton direction and diagonal matrix obtained by decoupling provide initial values and preconditioner respectively for this algorithm. This preconditioned GMRES algorithm is fast and has a good convergence. Furthermore, test cases based on a 354-bus system are used to validate this proposed algorithm. Also, comparative studies for different decomposition schemes are reported.