电力系统电压崩溃临界状态的近似算法

AN APPROXIMATE ALGORITHM OF THE CRITICAL STATEOF VOLTAGE COLLAPSE IN ELECTRIC POWER SYSTEMS

利用潮流方程的多解特性，用一个新的近似变量组成了一个新的Ｊａｃｏｂｉａｎ矩阵，间接地避免了潮流方程的Ｊａｃｏｂｉａｎ矩阵在临界点奇异而带来的不收敛问题；提出了快速计算电压崩溃临界状态的近似算法，为计算电压崩溃的临界运行状态及其裕度提供了一种快速计算方法。

This paper presents an approximate algorithm to fast compute the critical state ofvoltage collapse in electric power systems. A fast computation method is provided for thecomputation of the critical operation state of voltage collapse and its power margins. By virtue ofthe properties of multiple load flow solutions, a new Jacobian matrix is consists of a newapproximate variables vector. The algorithm can indirectly avoid the problems of divergencewhich is caused by the singular of load flow Jacobian matrix near the critical state of voltagecollapse.