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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MDPI AG
2018-09-01
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Series: | Energies |
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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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format | Article |
id | doaj.art-02d5d8e2aa3f4368b467e6d8687d3e65 |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-12-10T07:17:30Z |
publishDate | 2018-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Energies |
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 |
work_keys_str_mv | AT bahramshakerighadi largesignalstabilitymodelingforthegridconnectedvscbasedonthelyapunovmethod AT esmaeilebrahimzadeh largesignalstabilitymodelingforthegridconnectedvscbasedonthelyapunovmethod AT fredeblaabjerg largesignalstabilitymodelingforthegridconnectedvscbasedonthelyapunovmethod AT clauslethbak largesignalstabilitymodelingforthegridconnectedvscbasedonthelyapunovmethod |