基于渐近数值法的静态电压稳定域边界高阶拟合方法

为实现静态电压稳定边界的快速准确计算,提出了一种基于渐近数值方法拟合静态电压稳定边界的算法。算法对电压崩溃点处的方程组进行分析,得到了静态电压稳定边界高阶偏导数的通式。基于渐近数值方法,分析了拟合误差与边界范围的关系。所提方法一方面避免了传统方法的多次潮流计算,耗时降低且有更高的精度;另一方面,计算高阶偏导数时可复用已有系数矩阵的因子表,计算量小。最后,给出了基于算法的相关应用,并将IEEE 118节点系统作为算例,验证了本算法的有效性。

High-order Fitting Method of Boundary for Static Voltage Stability Region Based on Asymptotic Numerical Method

In order to calculate the static voltage stability boundary rapidly and precisely, an algorithm of fitting static voltage stability boundary based on asymptotic numerical method is proposed. By analyzing the equations formulated by the voltage collapse point, the general formula of the high-order partial derivatives of the static voltage stability boundary is obtained. Based on the asymptotic numerical method, the relationship between the fitting error and the boundary area is analyzed. The method avoids the multiple power flow calculations in traditional method, and has higher accuracy and lower time cost. On the other hand, the factor table of the existing coefficient matrices can be reused when calculating the high-order partial derivatives, which decreases the calculation burden. Finally, the related applications based on the method are presented. The cases based on IEEE 118 node system are established to verify the effectiveness of the proposed method.