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.
@article{arxiv.2201.09529,
title = {Small-Signal Stability Analysis of Numerical Integration Methods},
author = {Georgios Tzounas and Ioannis Dassios and Federico Milano},
journal= {arXiv preprint arXiv:2201.09529},
year = {2022}
}