The paper provides a novel framework to study the accuracy and stability of numerical integration schemes when employed for the time domain simulation of power systems. A matrix pencil-based approach is adopted to evaluate the error between the dynamic modes of the power system and the modes of the approximated discrete-time system arising from the application of the numerical method. The proposed approach can provide meaningful insights on how different methods compare to each other when applied to a power system, while being general enough to be systematically utilized for, in principle, any numerical method. The framework is illustrated for a handful of well-known explicit and implicit methods, while simulation results are presented based on the WSCC 9-bus system, as well as on a 1, 479-bus dynamic model of the All-Island Irish Transmission System.
翻译:该文件提供了一个新的框架,用于研究用于时间域模拟动力系统的数字集成计划的准确性和稳定性;采用了基于铅笔的矩阵方法,评价动力系统的动态模式与因应用数字方法而产生的近似离散时间系统模式之间的错误;拟议方法可提供有意义的见解,说明在应用电力系统时不同方法如何相互比较,同时具有广泛性,原则上可用于任何数字方法;为少数众所周知的明确和隐含方法说明该框架,同时根据WSCC 9-Bus系统以及爱尔兰全岛传输系统1 479-Bus动态模型提出模拟结果。