Measurement-based lyapunov modal analysis using prony analysis

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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.

About the authors

Dmitry Evgen'evich Kataev

V.A. Trapeznikov Institute of Control Sciences of RAS

Email: dekataev@ipu.ru
Moscow

Evgeniy Yur'evich Kutyakov

V.A. Trapeznikov Institute of Control Sciences of RAS

Email: evgeniykutyakov@gmail.com
Moscow

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