Generalized Modal Analysis in Power System with High CIG Penetration: Concept and Quantitative Assessment

This paper presents a Generalized Modal Analysis (GMA) concept for the small-signal stability analysis of power systems with high penetration of Converter-Interfaced Generation (CIG). GMA quantitatively assesses interactions between various elements in the power system, offering intuitive and transparent physical interpretations. The method's versatility in selecting physical quantities at different input and output ports makes it broadly applicable. Based on the concept of GMA, the study further defines interaction quantification indices by selecting voltage ports, examining the impact of grid disturbances on power sources and the support from the power sources to the grid at connection points. Numerical simulations on modified 14-bus and 68-bus systems validate GMA's effectiveness in capturing the coupling of the dynamic characteristics between grid elements. This research provides a theoretical foundation and analytical framework for future analyses of power system stability with diverse power sources.