不确定条件下提高静态电压稳定性的优化方法

Optimization Approach to Enhancing Static Voltage Stability Under Uncertain Conditions

以最小化静态电压失稳概率为优化目标,基于概率空间中静态电压稳定域边界及其关于控制变量的灵敏度,提出了不确定条件下提高电力系统静态电压稳定性的优化方法。为求得静态电压稳定域边界的显式逼近表达式及其灵敏度,利用参数化非线性规划模型刻画稳定域边界,而后基于广义多项式混沌思想,将随机Galerkin方法与原-对偶内点法相结合予以求解。IEEE-39节点系统算例分析验证了所提优化方法的有效性和精确性。

By minimizing the probability of instability,an optimization approach to enhancing static voltage stability of power system under uncertain conditions was proposed on the basis of the static voltage stability region boundary (SVSRB) and its sensitivity to control variables.To obtain the explicit approximations to the SVSRB and the sensitivities,on the basis of the idea of generalized polynomial chaos (gPC),an approach combining stochastic Galerkin method and primal-dual interior point method was introduced.Case study in IEEE 39-bus system verified the validity and accuracy of the proposed optimization approach.