N-1故障电压稳定极限高阶灵敏度快速计算

Rapid Sensitivity Calculation of Voltage Stability on the Power System Under N-1 Topology

在利用连续潮流计算得到无故障网络的静态电压稳定临界点的基础上,提出一种快速计算线路故障下静态电压稳定临界点的可靠方法。该方法将单条线路运行状态参数化,通过求解原系统的静态电压稳定临界点对故障线路参数的1至N阶导数,用泰勒级数法进行逼近,从而快速精确的求解出线路故障情况下电压稳定临界点。在求解1至N阶导数时,系数矩阵是同一个矩阵,无需反复形成与分解。该方法计算量小,无需反复迭代。该文方法的可行性与高效性通过在IEEE 30及118母线系统上的算例得以验证。

Based on critical point information obtained by continuous power flow solution under base network topology, a reliable method to calculate the critical point of static voltage stability under branch outage contingency was proposed. Branch admittance being taken as parameters, exact solution about the critical point of the system which has a branch outage contingency can be obtained quickly by using Taylor＇s series expansion and calculating 1 to N degree derivatives of the original system. The coefficient matrices of different derivatives of the system state variables and the load margin are not changed with the derivative n. The proposed method is not necessary for repeated factorization to obtain the derivatives with different orders and reduces calculation burdens. The feasibility and efficiency of this technique was been tested on IEEE 30 and 118 bus system.