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Papers

Home > Research > Papers

Linear Time-Periodic Theory-based Novel Stability Analysis Method for Voltage-Source Converter under Unbalanced Grid Conditions

  • Date:2025-11-05
  • Impact Factor:5.0
  • DOI Number:10.1016/j.ijepes.2024.110197
  • Title of Paper:Linear Time-Periodic Theory-based Novel Stability Analysis Method for Voltage-Source Converter under Unbalanced Grid Conditions
  • Journal:International Journal of Electrical Power & Energy Systems
  • Key Words:Floquet theory; Harmonic State-Space (HSS); Linear Time-Periodic (LTP) system; Modal analysis; Small-signal stability; Unbalanced grids; Voltage-Source Converter (VSC)
  • Summary:Small-signal stability analysis is essential for the safe operation and parameter design of power electronic-dominated grids. Unbalanced conditions introduce more frequency-coupling terms, which are unneglectable in the stability assessment. This paper proposes a novel Linear Time-Periodic (LTP) theory-based stability analysis method and focuses on grid-connected voltage-source converters (VSCs) without improved unbalancing controls. Firstly, the analysis of fundamental solutions of the LTP system reveals that each LTP mode is characterized by a unique damping factor and multiple oscillation frequencies, defined by LTP eigenvalues and related transformation vectors. Then, a method for calculating is proposed using the characteristic matrix of the Harmonic State-Space (HSS) model. An iterative sorting method based on the time-domain interpretation of HSS eigenvalues/eigenvectors is proposed to determine accurate in the case of the minimum truncation order. Finally, generalized definitions and calculation methods of the widely used indicators for modal analysis are presented to assess system stability and guide the parameter design. Numerical and simulation results verify the proposed stability analysis method and indicate its advantages compared to the existing Floquet and HSS methods.
  • Co-author:Yueming Ji,Hao Qi,Xintong Liu,Yinan Xiang,Jun Liu
  • First Author:Hanwen Gu
  • Correspondence Author:Zaibin Jiao
  • Volume:161
  • Issue:110197
  • Page Number:1 - 6, International Journal of Electrical Power & Energy Systems
  • Translation or Not:No
  • Date of Publication:2024-10-15
  • Included Journals:SCI
  • Links to Published Journals:https://www.sciencedirect.com/science/article/pii/S0142061524004186

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