A Potential Issue of Using the MIMO Nyquist Criterion in Impedance-Based Stability Analysis

Liang Qiao, Yaosuo Xue, Le Kong, Fred Wang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The impedance-based stability criteria are widely adopted for small-signal stability analysis of power systems. Among them, the determinant-based multi-input multi-output (MIMO) Nyquist criterion is particularly attractive since it simplifies the stability determination process without calculating the eigenvalues of MIMO systems. However, it is found in this letter that the determinant-based Nyquist criterion can potentially result in incorrect stability analysis results with pure inductance models in the MIMO models of the power network. This letter illustrates the issue and its root cause through mathematical derivation and numerical analysis. Then, the issue is demonstrated through an example system, and the corresponding solutions are provided as well.

Original languageEnglish
Pages (from-to)899-904
Number of pages6
JournalIEEE Open Journal of Power Electronics
Volume3
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2020 IEEE.

Funding

This work was supported in part by the U.S. Department of Energy, Office of Electricity, Advanced Grid Modeling Program under Grant DE-AC05-00OR22725, in part by the Engineering Research Center Shared Facilities provided by the Engineering Research Center Program of the National Science Foundation and the Department of Energy under NSF Award EEC1041877, and in part by the CURENT Industry Partnership Program.

FundersFunder number
National Science FoundationEEC1041877
U.S. Department of EnergyDE-AC05-00OR22725

    Keywords

    • Impedance
    • modeling
    • power system stability
    • stability criteria

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