The Impact of Frame Transformations on Power System EMT Simulation

Jiahang Li; Yitong Li; Yunjie Gu

doi:10.1109/TPWRS.2023.3242823

The Impact of Frame Transformations on Power System EMT Simulation

Jiahang Li, Yitong Li, Yunjie Gu

Department of Electronic & Electrical Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

182 Downloads (Pure)

Abstract

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 language	English
Pages (from-to)	1319-1328
Number of pages	10
Journal	IEEE Transactions on Power Systems
Volume	39
Issue number	1
Early online date	10 Feb 2023
DOIs	https://doi.org/10.1109/TPWRS.2023.3242823
Publication status	Published - 31 Jan 2024

Keywords

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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10.1109/TPWRS.2023.3242823Licence: Other

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Cite this

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abstract = "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 dq-frame controllers of inverters. Simulation results are given to validate the theoretical analysis.",

keywords = "Convergence, Difference equations, Eigenvalues and eigenfunctions, Numerical models, Numerical simulation, Numerical stability, Power system stability, electromagnetic transients, frame transformation, numerical simulation",

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N2 - 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 dq-frame controllers of inverters. Simulation results are given to validate the theoretical analysis.

AB - 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 dq-frame controllers of inverters. Simulation results are given to validate the theoretical analysis.

KW - Convergence

KW - Difference equations

KW - Eigenvalues and eigenfunctions

KW - Numerical models

KW - Numerical simulation

KW - Numerical stability

KW - Power system stability

KW - electromagnetic transients

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KW - numerical simulation

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The Impact of Frame Transformations on Power System EMT Simulation

Abstract

Keywords

ASJC Scopus subject areas

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