LAPSE:2023.25399
Published Article

LAPSE:2023.25399
Multivariable State-Feedback Controller Design for PV Inverter Connected to a Weak Grid
March 28, 2023
Abstract
This paper presents a robust multi-input multi-output (MIMO) state-feedback control scheme for a photovoltaic (PV) inverter connected to a weak grid. For a weak grid, the point of common coupling (PCC) voltage is very sensitive to the power disturbances and it is dynamically coupled to the PLL dynamics. So far, most of the control methods do not take into accounts these couplings. Therefore, in this paper, the MIMO controller was designed taking into account the dynamics of the phase-locked loop (PLL) and coupling effects between PCC voltage and the active power to enhance the system’s robustness. As result, the robust performance of the PV inverter interfaced to a weak grid was yielded. In addition, the sensitivity of the system to PLL was eliminated, allowing the use of larger PLL bandwidth even in a very weak grid. Based on the eigenvalues analysis method, a comparative study between the proposed control method and the conventional vector control method was performed. The proposed method is verified with simulations in PLECS and real-time simulations in the RT Box. The results show that the proposed MIMO control method preserves the system stability robustness against any change of grid strength, generated power and PLL bandwidth.
This paper presents a robust multi-input multi-output (MIMO) state-feedback control scheme for a photovoltaic (PV) inverter connected to a weak grid. For a weak grid, the point of common coupling (PCC) voltage is very sensitive to the power disturbances and it is dynamically coupled to the PLL dynamics. So far, most of the control methods do not take into accounts these couplings. Therefore, in this paper, the MIMO controller was designed taking into account the dynamics of the phase-locked loop (PLL) and coupling effects between PCC voltage and the active power to enhance the system’s robustness. As result, the robust performance of the PV inverter interfaced to a weak grid was yielded. In addition, the sensitivity of the system to PLL was eliminated, allowing the use of larger PLL bandwidth even in a very weak grid. Based on the eigenvalues analysis method, a comparative study between the proposed control method and the conventional vector control method was performed. The proposed method is verified with simulations in PLECS and real-time simulations in the RT Box. The results show that the proposed MIMO control method preserves the system stability robustness against any change of grid strength, generated power and PLL bandwidth.
Record ID
Keywords
linear quadratic regulator (LQR), PLL, PV inverter, weak grid
Subject
Suggested Citation
Antoine M, Li H, Zheng X, Yu Y. Multivariable State-Feedback Controller Design for PV Inverter Connected to a Weak Grid. (2023). LAPSE:2023.25399
Author Affiliations
Antoine M: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Li H: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Zheng X: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China [ORCID]
Yu Y: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Li H: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Zheng X: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China [ORCID]
Yu Y: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Journal Name
Energies
Volume
14
Issue
15
First Page
4441
Year
2021
Publication Date
2021-07-23
ISSN
1996-1073
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Original Submission
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PII: en14154441, Publication Type: Journal Article
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LAPSE:2023.25399
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https://doi.org/10.3390/en14154441
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Mar 28, 2023
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