The progress in electricity deregulation has made electricity systems more economical while maintaining stability. Therefore, the stability of an electricity system should be evaluated more strictly than done previously. We propose a robust calculation method of voltage stability margin (VSM). The proposed method is based on the optimal-power-flow-based direct method (OPF-DM), which can calculate VSM directly when complementarity constraints related to limits for reactive-power generation are added. However, the additional complementarity constraints may cause a convergence and local solution issues because of the numerical complexity. The proposed method calculates the appropriate VSM on the basis of several voltage-stability properties. We implemented the proposed method on MATPOWER and evaluated it with IEEE 9-bus, 30-bus system, 39-bus, 300-bus, PEGASE 1354-bus, and IEEJ WEST10-O/V systems. The results indicate that the proposed method can calculate VSM robustly compared with conventional methods. © 2021 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

中文翻译：

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基于电压崩溃点特性的电压稳定裕度鲁棒计算方法

电力放松管制的进展使电力系统在保持稳定的同时更加经济。因此，应该比以前更严格地评估电力系统的稳定性。我们提出了一种稳健的电压稳定裕度 (VSM) 计算方法。所提出的方法基于基于最优潮流的直接方法（OPF-DM），当添加与无功发电限制相关的互补约束时，该方法可以直接计算VSM。然而，由于数值复杂性，额外的互补性约束可能会导致收敛和局部解问题。所提出的方法根据几种电压稳定性特性计算适当的 VSM。我们在 MATPOWER 上实现了所提出的方法，并使用 IEEE 9 总线、30 总线系统、39 总线、300 总线、PEGASE 1354 总线和 IEEJ WEST10-O/V 系统。结果表明，与传统方法相比，所提出的方法可以稳健地计算VSM。© 2021 日本电气工程师学会。由 Wiley Periodicals LLC 出版。