改进的相分量法求解电力系统复杂故障新算法

针对基于对称分量法的传统故障分析方法求解复杂故障尤其是参数不对称电力系统复杂故障时，序网连接复杂、难以求解的问题，提出了一种基于多端口理论与优化的相分量系统网络模型求解具有不对称参数的电力系统复杂故障的新算法。该方法利用矩阵的对角化变换对传统相分量法进行优化，以减小计算量，并与多端口理论相结合，推导出一种既适用于各种类型简单故障，又适用于多重复故障计算的计算机通用数学模型。模型简单实用，通用性强。对比编程计算结果与EMTPE仿真结果，证明该算法准确有效。

An Improved Phase Components Method for Arbitrary Complicated Power System Fault Analysis

The traditional symmetrical components fault analysis method may not be practically feasible in analyzing simultaneous faults, especially, in inherently unbalanced power systems because of the difficulties encountered in the assembly of sequence networks and their solution. To alleviate these problems, this paper presents a new algorithm suitable for the analysis of various complex faults in inherently unbalanced power systems on the basis of multi-port theory and optimal phase components model. By matrix transformation, the traditional phase components method is optimized to reduce the computational costs. Based on the multi-port theory, a common mathematical model suitable for computer applications is derived that can be used to analyze all kinds of simple faults and complicated faults. Simulation results verify the effectiveness of the proposed method.