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中文摘要：
用关联矩阵表述网络拓扑结构，并根据厂站拓扑结构和网络拓扑结构等概念简化了电力系统的拓扑结构。根据广义乘法和广义加法的运算规则，将改进的高斯消元算法应用于电力系统拓扑结构分析中，并引入稀疏、分块处理等技术提高了上述拓扑分析的效率。采用上述高斯消元算法对山东电网220kV以上的变电站进行拓扑结构分析，结果表明了运用该高斯消元法进行网络拓扑分析的正确性和有效性。
英文摘要：
Through expressing network topology by incidence matrix and according to the conceptions of station topology and network topology, the topology of power system is simplified. Based on the operation rules of generalized multiplication and generalized addition, the improved Gaussian elimination algorithm is applied in power system topology analysis, meanwhile the sparse technique and sectionalization technique are introduce to raise efficiency of topology analysis. Using above-mentioned Gaussian elimination algorithm, the network topology analysis of some stations whose voltage level is above 220kV in Shandong Power Grid is performed; the analysis result proves that the proposed method is correct and effective.
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