Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

In this paper, a Lyapunov-based method is used in order to determine the stability boundaries of the grid-connected voltage source converter (VSC). To do so, a state space model of the VSC is used to form the Lyapunov function of the system. Then, by using the eigenvalues of the Lyapunov function, t...

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Main Authors: Bahram Shakerighadi, Esmaeil Ebrahimzadeh, Frede Blaabjerg, Claus Leth Bak
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/11/10/2533
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author Bahram Shakerighadi
Esmaeil Ebrahimzadeh
Frede Blaabjerg
Claus Leth Bak
author_facet Bahram Shakerighadi
Esmaeil Ebrahimzadeh
Frede Blaabjerg
Claus Leth Bak
author_sort Bahram Shakerighadi
collection DOAJ
description In this paper, a Lyapunov-based method is used in order to determine the stability boundaries of the grid-connected voltage source converter (VSC). To do so, a state space model of the VSC is used to form the Lyapunov function of the system. Then, by using the eigenvalues of the Lyapunov function, the system stability boundaries will be determined. It is shown that the grid-connected VSC works in its stable mode when all of its Lyapunov function’s eigenvalues are positive. The proposed model validity is tested by time-domain simulation. Simulation results show that the method is credible in determining the stability margin of the grid-connected VSC.
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spelling doaj.art-02d5d8e2aa3f4368b467e6d8687d3e652022-12-22T01:57:54ZengMDPI AGEnergies1996-10732018-09-011110253310.3390/en11102533en11102533Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov MethodBahram Shakerighadi0Esmaeil Ebrahimzadeh1Frede Blaabjerg2Claus Leth Bak3Department of Energy Technology, Aalborg University, 9220 Aalborg, DenmarkDepartment of Energy Technology, Aalborg University, 9220 Aalborg, DenmarkDepartment of Energy Technology, Aalborg University, 9220 Aalborg, DenmarkDepartment of Energy Technology, Aalborg University, 9220 Aalborg, DenmarkIn this paper, a Lyapunov-based method is used in order to determine the stability boundaries of the grid-connected voltage source converter (VSC). To do so, a state space model of the VSC is used to form the Lyapunov function of the system. Then, by using the eigenvalues of the Lyapunov function, the system stability boundaries will be determined. It is shown that the grid-connected VSC works in its stable mode when all of its Lyapunov function’s eigenvalues are positive. The proposed model validity is tested by time-domain simulation. Simulation results show that the method is credible in determining the stability margin of the grid-connected VSC.http://www.mdpi.com/1996-1073/11/10/2533voltage source converter (VSC)energy function (EF)Lyapunov-based stability analysis
spellingShingle Bahram Shakerighadi
Esmaeil Ebrahimzadeh
Frede Blaabjerg
Claus Leth Bak
Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
Energies
voltage source converter (VSC)
energy function (EF)
Lyapunov-based stability analysis
title Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
title_full Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
title_fullStr Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
title_full_unstemmed Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
title_short Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
title_sort large signal stability modeling for the grid connected vsc based on the lyapunov method
topic voltage source converter (VSC)
energy function (EF)
Lyapunov-based stability analysis
url http://www.mdpi.com/1996-1073/11/10/2533
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