Development of an Effective Model for Computing Rightmost Eigenvalues of Power Systems with Inclusion of Time Delays

Chongtao Li*, Jiannan Wu, Chao Duan, Zhengchun Du

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes a new discretization model for computing the rightmost eigenvalues, i.e., the dominant modes, of the power system with inclusion of time delays. At first, a general model of the time-delay power system is introduced. This model can be adopted for analysis of both retarded and neutral-type time-delay systems. Then, based on the general model, a discretization method for computing the rightmost eigenvalues is developed. In the method, only the retarded variables are required to be discretized. As a result, the order of the proposed model is far less than the order of existing models for solving eigenvalues of time-delay power systems. Meanwhile, the sparsity of the original power system model is passed down to the discretized model. The proposed model is tested on 5 power systems, from 4 machines to 562 machines, to show its effectiveness and efficiency.

Original languageEnglish (US)
Article number8698886
Pages (from-to)4216-4227
Number of pages12
JournalIEEE Transactions on Power Systems
Volume34
Issue number6
DOIs
StatePublished - Nov 2019
Externally publishedYes

Keywords

  • Chebyshev discretization
  • DDAEs
  • power systems
  • small-signal stability
  • Time-delay

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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