Abstract

With the increasing utilization of power electronic equipment in power systems, there has been an increase in the occurrence of oscillatory behavior from unknown sources in recent years. This paper puts forward the concept of electric network resonance stability (ENRS) analysis and tries to classify the above-mentioned oscillations into the category of ENRS. With this method, many complex power system oscillations can be analyzed with the linear network theory, which is mathematically mature. The objective of this paper is to establish a systematic approach to analyze ENRS. By introducing the s-domain nodal admittance matrix (NAM) of the electric network, this paper transforms the judgment of ENRS into the zero-point solution of the determinant of the s-domain NAM. First, the zero-points of the determinant of the s-domain NAM are proved to correspond to the eigenvalues of the system. Then, a systematic approach is proposed to analyze ENRS, which includes the identification of the dominant resonance region and the determination of the key components related to resonance modes. The effectiveness of the proposed approach for analyzing ENRS is illustrated through case studies.

Highlights

  • Oscillations are common phenomena in power system operations [1]

  • A systematic approach is proposed to analyze electric network resonance stability (ENRS), which includes the identification of the dominant resonance region and the determination of the key components related to resonance modes

  • Among all the resonance modes in an electric network, the divergent modes are of the most concern, the key components that greatly affect these divergent modes should be determined

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Summary

Introduction

Oscillations are common phenomena in power system operations [1]. Generally, power system oscillations can be divided into three categories: (1) oscillations of the generator shaft (torsional interaction);. The standard state-space method x = Ax + Bu, which is suitable for linear time-invariant systems, can be used to deal with electric networks described by lumped and non-frequency dependent parameters [1]. Under this method, ENRS predicts that the electric network is stable if all of the eigenvalues of A are located on the left half-plane of the complex plane. This ENRS analysis process is demonstrated, based on the original and modified IEEE 39-bus system

Definition of System Eigenvalue
Eigenvalue Acquisition Based on the s-Domain Nodal Admittance Matrix
Eigenvalue
Identification of the Dominant Resonance Region
Determination of the Key Components
Other system datarange can beoffound in Hz in reference
Modified IEEE 39-Bus System
Impedance–frequency
Conclusions
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