多机电力系统电压静态稳定性分析——奇异值分解法

Analysis of Steady-state Voltage Stability in Multimachine Power Systems by Singular Value Decomposition Method

本文应用矩阵的奇异值分解理论,提出了一种新的多机电力系统电压静态稳定性分析方法。该方法不仅可以定量地给出系统的静态电压稳定裕度,而且能够直接计算稳定裕度对系统状态变量和控制变量的灵敏度。在算法上采用快速逆迭代原理并应用稀疏存贮技术有效地节约了机时和内存。本文方法还具有全面、直观和计算简单的优点。

A new analytical method of the steady-state voltage stability in a multimachine power system based on the sigular value decomposition theory is presented in accordance with the boundary property theorem of feasibility region for an injection vector. This method not only can be used to calculate the steady-state voltage stability margin, but also can be employed to compute the sensitivity of the stability margin to system state variables and controlled variables directly. The fast inverse iteration algorithm and sparsity technique are also exploided to reduce the computation time and memory requirement. Compared with others, the proposed method is more efficient in computation as well as more comprehensive in practical utilization.