Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter

Milad Zarif Mansour; Sajjad Hadavi; Behrooz Bahrani

doi:10.1109/EVER48776.2020.9243004

Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter

Milad Zarif Mansour, Sajjad Hadavi, Behrooz Bahrani

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

5 Citations (Scopus)

Abstract

Voltage Source Converters (VSCs) connected to weak grids may face difficulties in synchronization leading to their instability. As the heart of the system, Phase Locked Loop (PLL) is responsible for synchronism of VSCs. In this paper, using the nonlinear state space model of the system composed of the grid and the PLL, stability and domain of attraction of the equilibrium point of the system is investigated. Afterwards, using Lyapunov theorem, a nonlinear controller that extends the domain of attraction of the equilibrium point is designed. Using phase portraits, the stability of the system with and without the designed controller while the VSC is connected to a very weak grid is evaluated. The results confirm that the system with the proposed controller remains stable, whereas the conventional system cannot maintain stability. Additionally, the domain of attraction of the compensated system is calculated. Finally, the results from phase portraits are validated by simulating the grid-connected VSC.

Original language	English
Title of host publication	2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER)
Editors	Ahmed Masmoudi
Place of Publication	Piscataway NJ USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	765-770
Number of pages	6
ISBN (Electronic)	9781728156415, 9781728156408
ISBN (Print)	9781728156422
DOIs	https://doi.org/10.1109/EVER48776.2020.9243004
Publication status	Published - 2020
Event	International Conference on Ecological Vehicles and Renewable Energies 2020 - Monte-Carlo, Monaco Duration: 10 Sept 2020 → 12 Sept 2020 Conference number: 15th https://ieeexplore.ieee.org/xpl/conhome/9242649/proceeding (Proceedings) http://conference.evermonaco.com/ (Website)

Conference

Conference	International Conference on Ecological Vehicles and Renewable Energies 2020
Abbreviated title	EVER 2020
Country/Territory	Monaco
City	Monte-Carlo
Period	10/09/20 → 12/09/20
Internet address	https://ieeexplore.ieee.org/xpl/conhome/9242649/proceeding (Proceedings) http://conference.evermonaco.com/ (Website)

Keywords

Lyapunov Theorem
Nonlinear Control System
Phase Locked Loop
Voltage Source Converter
Weak Grid

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1109/EVER48776.2020.9243004

Cite this

Mansour, M. Z., Hadavi, S., & Bahrani, B. (2020). Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter. In A. Masmoudi (Ed.), 2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER) (pp. 765-770). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/EVER48776.2020.9243004

Mansour, Milad Zarif ; Hadavi, Sajjad ; Bahrani, Behrooz. / Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter. 2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER). editor / Ahmed Masmoudi. Piscataway NJ USA : IEEE, Institute of Electrical and Electronics Engineers, 2020. pp. 765-770

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title = "Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter",

abstract = "Voltage Source Converters (VSCs) connected to weak grids may face difficulties in synchronization leading to their instability. As the heart of the system, Phase Locked Loop (PLL) is responsible for synchronism of VSCs. In this paper, using the nonlinear state space model of the system composed of the grid and the PLL, stability and domain of attraction of the equilibrium point of the system is investigated. Afterwards, using Lyapunov theorem, a nonlinear controller that extends the domain of attraction of the equilibrium point is designed. Using phase portraits, the stability of the system with and without the designed controller while the VSC is connected to a very weak grid is evaluated. The results confirm that the system with the proposed controller remains stable, whereas the conventional system cannot maintain stability. Additionally, the domain of attraction of the compensated system is calculated. Finally, the results from phase portraits are validated by simulating the grid-connected VSC.",

keywords = "Lyapunov Theorem, Nonlinear Control System, Phase Locked Loop, Voltage Source Converter, Weak Grid",

author = "Mansour, {Milad Zarif} and Sajjad Hadavi and Behrooz Bahrani",

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doi = "10.1109/EVER48776.2020.9243004",

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note = "International Conference on Ecological Vehicles and Renewable Energies 2020, EVER 2020 ; Conference date: 10-09-2020 Through 12-09-2020",

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Mansour, MZ, Hadavi, S & Bahrani, B 2020, Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter. in A Masmoudi (ed.), 2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER). IEEE, Institute of Electrical and Electronics Engineers, Piscataway NJ USA, pp. 765-770, International Conference on Ecological Vehicles and Renewable Energies 2020, Monte-Carlo, Monaco, 10/09/20. https://doi.org/10.1109/EVER48776.2020.9243004

Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter. / Mansour, Milad Zarif; Hadavi, Sajjad; Bahrani, Behrooz.
2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER). ed. / Ahmed Masmoudi. Piscataway NJ USA: IEEE, Institute of Electrical and Electronics Engineers, 2020. p. 765-770.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter

AU - Mansour, Milad Zarif

AU - Hadavi, Sajjad

AU - Bahrani, Behrooz

N1 - Conference code: 15th

PY - 2020

Y1 - 2020

N2 - Voltage Source Converters (VSCs) connected to weak grids may face difficulties in synchronization leading to their instability. As the heart of the system, Phase Locked Loop (PLL) is responsible for synchronism of VSCs. In this paper, using the nonlinear state space model of the system composed of the grid and the PLL, stability and domain of attraction of the equilibrium point of the system is investigated. Afterwards, using Lyapunov theorem, a nonlinear controller that extends the domain of attraction of the equilibrium point is designed. Using phase portraits, the stability of the system with and without the designed controller while the VSC is connected to a very weak grid is evaluated. The results confirm that the system with the proposed controller remains stable, whereas the conventional system cannot maintain stability. Additionally, the domain of attraction of the compensated system is calculated. Finally, the results from phase portraits are validated by simulating the grid-connected VSC.

AB - Voltage Source Converters (VSCs) connected to weak grids may face difficulties in synchronization leading to their instability. As the heart of the system, Phase Locked Loop (PLL) is responsible for synchronism of VSCs. In this paper, using the nonlinear state space model of the system composed of the grid and the PLL, stability and domain of attraction of the equilibrium point of the system is investigated. Afterwards, using Lyapunov theorem, a nonlinear controller that extends the domain of attraction of the equilibrium point is designed. Using phase portraits, the stability of the system with and without the designed controller while the VSC is connected to a very weak grid is evaluated. The results confirm that the system with the proposed controller remains stable, whereas the conventional system cannot maintain stability. Additionally, the domain of attraction of the compensated system is calculated. Finally, the results from phase portraits are validated by simulating the grid-connected VSC.

KW - Lyapunov Theorem

KW - Nonlinear Control System

KW - Phase Locked Loop

KW - Voltage Source Converter

KW - Weak Grid

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DO - 10.1109/EVER48776.2020.9243004

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SN - 9781728156422

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EP - 770

BT - 2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER)

A2 - Masmoudi, Ahmed

PB - IEEE, Institute of Electrical and Electronics Engineers

CY - Piscataway NJ USA

T2 - International Conference on Ecological Vehicles and Renewable Energies 2020

Y2 - 10 September 2020 through 12 September 2020

ER -

Mansour MZ, Hadavi S, Bahrani B. Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter. In Masmoudi A, editor, 2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER). Piscataway NJ USA: IEEE, Institute of Electrical and Electronics Engineers. 2020. p. 765-770 doi: 10.1109/EVER48776.2020.9243004

Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter

Abstract

Conference

Keywords

UN SDGs

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