The Impact of Frame Transformations on Power System EMT Simulation

Jiahang Li, Yitong Li, Yunjie Gu

Research output: Contribution to journalArticlepeer-review

1 Citation (SciVal)
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This article investigates the impact of frame transformations on the accuracy of numerical discretization in power system transient and stability studies. As analysed, frame transformations influence the convergence of the numerical discretization. Specifically, for an explicit discretization method (e.g., forward Euler method), the stability of the original system is best preserved in the frame where the system eigenvalue is closer to the origin of the complex plane, e.g., in the stationary frame for inductors and capacitors, and in the synchronous frame for <italic>dq-</italic>frame controllers of inverters. Simulation results are given to validate the theoretical analysis.

Original languageEnglish
Pages (from-to)1319-1328
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number1
Early online date10 Feb 2023
Publication statusPublished - 31 Jan 2024


  • Convergence
  • Difference equations
  • Eigenvalues and eigenfunctions
  • Numerical models
  • Numerical simulation
  • Numerical stability
  • Power system stability
  • electromagnetic transients
  • frame transformation
  • numerical simulation

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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