State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China
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.
FENG Zhuocheng,WAN Kaiyao,JIANG Tong.High-order Fitting Method of Boundary for Static Voltage Stability Region Based on Asymptotic Numerical Method[J].Automation of Electric Power Systems,2020,44(7):100-106.DOI:10.7500/AEPS20190301001Copy