基于割集功率空间上的静态电压稳定域局部可视化方法

VISUALIZATION OF POWER SYSTEM STATIC VOLTAGE STABILITY REGION IN CUT-SET SPACE

提出了一种新型快速的割集功率空间上电压稳定域边界局部近似算法,以用于实现静态电压稳定域的可视化。该算法首先在电力系统状态空间上推导出求解电压稳定域边界局部的线性方程组,利用该方程组可快速地求解出状态空间上的一组近似电压稳定域边界点;然后通过潮流方程将边界映射到割集功率空间上,解决了电压稳定域可视化的降维问题。在此基础上,可利用最小二乘法拟合出割集功率空间上的一个超平面,用以近似地表达电压稳定域边界。IEEE118节点系统算例结果表明,该方法能在割集功率空间上以较小的误差快速地近似表达出电压稳定域边界的局部;算法 对于实现电压稳定域的在线计算及可视化具有一定的实用价值。

This paper presents a new fast method to calculate and visualize static voltage stability region (SVSR) boundary. First linear equations are derived in power system state space, with these equations a group of points on SVSR boundary can be calculated very quickly, and then power flow equations are used to map these points from state space into cut-set space thus dimension of SVSR is reduced. Finally one hyper plane in cut-set space is formed based on these points by applying Least-Square Fitting Method. Study on IEEE. 118-bus system shows that the method can estimate SVSR boundary with satisfied accuracy and fast speed.