变电所一次主接线电气连通性分析的数学模型

MATHEMATICAL MODEL FOR ANALYSING ELECTRICAL CONNECTEDNESS OF MAIN ELECTRICAL SCHEME IN SUBSTATION

随着变电所运行管理自动化程度的提高 ,对一次设备的可靠性进行自动统计 ,直观地在一次模拟图上反映一次设备的运行情况都被作为需求提了出来 ,解决此类应用问题的关键在于对变电所一次主接线进行实时的电气连通性分析。正是基于这一需求 ,在网络图论的基础上 ,运用布尔矩阵理论提出了变电所一次主接线电气连通性分析的数学模型。该模型中的所有布尔矩阵都可以由计算机来快速列写与运算 。

With the development of operation management automation in substation, some new requirements are put forward, such as automatic statistics of the reliability of power devices, intuitively showing on the single line diagram the operation condition of power devices. In order to solve these application problems, the key is to analyze the electrical connectedness of main electrical scheme in substation. Based on the network graph theory, applying Boolean matrix theory, this paper introduces the mathematical model of electrical connectedness analyzing the main electrical scheme in substation. All the Boolean matrixes in this model can be listed and calculated by computers rapidly, which ensures the practicability of the algorithm.