中文摘要：

具有多个电气岛的电力系统中，如果仅在某一个母线上加一个电源，则该母线所在电气岛内的所有母线电压都不为零，而其他电气岛中母线的电压则都为零，因此可以根据有无电压来判断电源点所在的电气岛。基于这一思想．提出了通过求解以邻接矩阵为系数矩阵的线性方程组进行网络拓扑分析的方法。该方法采用布尔运算形式的高斯消去法直接求解方程组．无需迭代。算法根据拓扑分析和布尔运算的特点简化了回代过程，并且根据消去后的系数矩阵特点设置右端向量．避免了前代过程。这些措施都有效地减少了计算量。同时可以利用各种求解稀疏方程组的技术手段有效地提高网络拓扑分析的速度。对一个实际大型电网进行了拓扑分析．计算结果表明了所提方法的正确性和有效性。

英文摘要：

If only one bus is energized in a multi-island power system,the voltages ot buses m the same island as the energized bus are non-zero,while the voltages of buses in the other islands are zero,by which,the island with power source can be determined. Based on it,a network topology analysis method of directly solving the linear equations by Gauss elimination in Boolean calculation form without iterative is proposed,which takes the adjacency matrix as the coefficient matrix. The back substitution is simplified according to the features of network topology and Boolean calculation while the forward deduction is avoided by properly setting the right vector according to the post-elimination matrix,which decreases the computation time efficiently. The techniques of solving sparse equations can be used to greatly increase the analysis speed. A practical network is analyzed by the proposed method and the results show its effectiveness.