基于伴随系统理论的静态电压稳定鞍结分岔点计算

摘要

Saddle-node bifurcation point of power flow functions is important in voltage stability analysis. A method based on the adjoint system theory is proposed. When load demands exceed the limit, there exist extraneous solutions in adjoint power flow functions and Lyapunov function value of extraneous solutions is nonzero. If appropriate Lyapunov function value is given,solutions near the bifurcation points can be obtained. A linear interpolation function can approximate the extraneous solutions curve. Combined with Moore-Spence system, saddle-node bifurcation point can be calculated. The simulation results of several standard IEEE test systems validate the proposed method.%静态电压稳定鞍结分岔点计算对于电压稳定分析具有重要意义.文中提出了基于伴随系统理论的鞍结分岔点的计算方法.伴随潮流方程存在新增的解曲线,该曲线在分岔点附近具有线性关系,且新增解的Lyapunov函数不为0.选择合适的Lyapunov函数值,利用伴随潮流扩展方程可求解分岔点附近的新增解,通过线性插值便得到新增解曲线的近似,结合Moore-Spence系统获得鞍结分岔点.最后通过多个算例验证了该方法的准确性和有效性.