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

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Resumé

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.
OriginalsprogEngelsk
Artikelnummer2533
TidsskriftEnergies
Vol/bind11
Udgave nummer10
Sider (fra-til)1-16
Antal sider16
ISSN1996-1073
DOI
StatusUdgivet - sep. 2018

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Lyapunov methods
Lyapunov Methods
Converter
Lyapunov functions
Voltage
Lyapunov Function
Grid
Electric potential
Modeling
Eigenvalue
Stability Margin
State-space Model
System stability
Lyapunov
Time Domain
Simulation

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abstract = "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.",
keywords = "Voltage Source Converter (VSC), Energy Function (EF), Lyapunov-based stability analysis",
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Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method. / Shakerighadi, Bahram; Ebrahimzadeh, Esmaeil; Blaabjerg, Frede; Bak, Claus Leth.

I: Energies, Bind 11, Nr. 10, 2533, 09.2018, s. 1-16.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

AU - Shakerighadi, Bahram

AU - Ebrahimzadeh, Esmaeil

AU - Blaabjerg, Frede

AU - Bak, Claus Leth

PY - 2018/9

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N2 - 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.

AB - 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.

KW - Voltage Source Converter (VSC)

KW - Energy Function (EF)

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