考虑线路有功传输约束的静态电压稳定分析

Static voltage stability analysis considering active power of transmission line constraints

在求解电压稳定临界点的过程中,考虑了线路有功传输的系统静态安全运行约束,将电压稳定临界点的求取转变为非线性规划问题,建立以求解负荷裕度为目标函数的数学模型。采用对初值要求不高的非线性原对偶内点法求解已知负荷增长方向上的电压稳定临界点,该方法能够考虑各种等式和不等式约束条件,具有较强的鲁棒性。比较了考虑线路有功传输约束与不考虑约束两种情况下的支路功率,找到其中的薄弱支路。最后通过IEEE-30节点系统的仿真计算,验证了该模型及算法的有效性。

In the process of calculating the critical point of voltage stability,power system of the static safe opera-tional constraints such as active power of transmission line is considered.It converts the calculation of the critical point of voltage stability to a nonlinear programming problem,and the maximum loading margin mathematical model is established as the object function.The critical point of static voltage stability is found along a known load change direction in this paper by the nonlinear primal-dual interior point method which has less demand on the initial value.This method permits the efficient and effective handling of large sets of equality and inequality constraints,and has strong robustness.This paper compares the branch power in two cases of considering active power of transmission line constraints and not considering,then the weak branch could be found in power system.The approach proposed has been successfully tested on the IEEE-30 bus system.