吴消元法在求解潮流方程中的应用

Application of Wu Elimination Method in Solving Power-Flow Equations

应用吴消元法求解潮流方程的全部解,做到不增不漏。该方法不仅得到了常规的两组运行解,即高压解、低压解,在低负荷时还得到了另外两组运行解。在计算的基础上,绘制了其他方法不易得到的V-P曲线和VPQ三维曲面,并获得了系统稳定运行域。本文应用V-Q灵敏度分析的方法分析不同运行方式的稳定性,同时分析了潮流雅可比矩阵的性质。

Wu elimination method is applied to solve the analytical solutions of power flow equations without extraneous roots or missing roots. By Wu elimination method, two other groups of solutions are obtained under low-load conditions, despite the normal groups of high-voltage and low-voltage solutions. On basis of computation, V-P curve, and VPQ three-dimensional surface are obtained, as well as the stable operational area. V-Q sensitivity analysis method is used to analyze the stability under different operational conditions. The properties of Jacobian matrix are also analyzed in this paper.