This article is cited in 1 paper

Control in Technology and Process Control

Measurement-based lyapunov modal analysis using prony analysis

D. Kataev, E. Yu. Kutyakov

V.A. Trapeznikov Institute of Control Sciences of RAS, Moscow

Abstract: Modern power grids are in need of advanced stability analysis tools due to their generation and consumption development trends. Lyapunov modal analysis combines two stability analysis approaches: modal analysis and Lyapunov functions spectral decomposition. Related currently available research requires a linear model of a studied system. Nevertheless, there is a significant interest in data-driven stability analysis methods based on measurements rather than pre-existing models. This motivates the presented study of measurement-based Lyapunov modal analysis feasibility. We derived new formulas for Lyapunov modal contributions calculation that based on data provided by Prony analysis of measurements captured in a nonlinear models or systems. We also conducted case studies using our software implementation of measurement-based Lyapunov modal analysis and node voltage transients measured in IEEE 68 power system model. The paper concludes with comparative analysis between measurement and model-based implementations.

Keywords: power system, modal analysis, Prony analysis, Lyapunov equation, spectral decomposition.

UDC: 519.7
BBK: 22.18

Received: March 23, 2023
Published: July 31, 2023

DOI: 10.25728/ubs.2023.104.4