An Intuitive Stability Analysis Method for Single-Parameter Variations in Linear Systems

Abstract

Analyzing the influence of controller parameters and physical system uncertainty is the premise of system stability design. This letter presents an intuitive analysis method for single-parameter variations in linear systems. Different from the root locus analysis, in the proposed method, the effect of single-parameter full-range variations on the system stability can be clearly visualized by simply plotting one Nyquist curve of reconstructed function at an arbitrary parameter point. Finally, the validity of the proposed method is demonstrated by a case study for the single-phase grid-following inverter.