Harmonic Resonance Mode Analysis

TLDR

Harmonic resonance in power systems manifests as high harmonic voltages and arises when a network admittance matrix eigenvalue approaches zero. The study aims to analyze eigenvalue characteristics to reveal the nature and extent of resonance and to present these findings. A resonance mode analysis technique is proposed based on the singularity of the admittance matrix. The resonance is linked to the network admittance matrix singularity, and the proposed method proves to be a valuable tool for harmonic analysis.

Abstract

Harmonic resonance often manifests as high harmonic voltages in a power system. It was found that such resonance phenomenon is associated with the singularity of the network admittance matrix. The singularity, in turn, is due to the fact that one of the eigenvalues of the matrix approaches zero. By analyzing the characteristics of the eigenvalue, one can find useful information on the nature and extent of the resonance. The objective of this paper is to present our findings on this interesting subject. Based on the results, a technique called resonance mode analysis is proposed. Analytical and case study results have confirmed that the proposed method is a valuable tool for power system harmonic analysis.