Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks

Multi-port soft open points (SOPs) are effective devices for alleviating issues such as voltage violation and transformer overloading in distribution networks caused by the high penetration of distributed energy resources. This paper proposes a coordinated voltage and power control method for flexib...

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Main Authors: Zhipeng Jing, Lipo Gao, Chengao Wu, Dong Liang
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/2/361
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author Zhipeng Jing
Lipo Gao
Chengao Wu
Dong Liang
author_facet Zhipeng Jing
Lipo Gao
Chengao Wu
Dong Liang
author_sort Zhipeng Jing
collection DOAJ
description Multi-port soft open points (SOPs) are effective devices for alleviating issues such as voltage violation and transformer overloading in distribution networks caused by the high penetration of distributed energy resources. This paper proposes a coordinated voltage and power control method for flexible distribution networks based on a linear quadratic regulator (LQR). First, the principle of coordinated voltage and power control is analyzed based on SOPs’ control strategies and a linear power flow model. Then, a discrete-time state-space model is constructed for flexible distribution networks with multi-port SOPs, using the voltage magnitude deviations at the AC side of all PQ-controlled voltage source converters (VSCs) and the loading rate deviations of the transformers corresponding to all PQ-controlled VSCs as state variables. An LQR-based optimal control model is then established, aiming to simultaneously minimize deviations of voltage magnitudes and transformer loading rates from their reference values, which correspond to the V<sub>dc</sub>-controlled VSC. The optimal state feedback law is obtained by solving the discrete-time algebraic Riccati equation. The proposed method has been evaluated on two typical flexible distribution networks, and the simulation results demonstrate the effectiveness of the proposed control method in improving voltage profiles and alleviating transformer overloading conditions using local measurements and very limited communication. In specific situations, the imbalance of voltages and transformer loading rates among the interconnected feeders can be reduced by 40%.
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institution Kabale University
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series Energies
spelling doaj-art-c594b44863254808b4f35bb4e94f74812025-01-24T13:31:12ZengMDPI AGEnergies1996-10732025-01-0118236110.3390/en18020361Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution NetworksZhipeng Jing0Lipo Gao1Chengao Wu2Dong Liang3Economic and Technological Research Institute, State Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050021, ChinaEconomic and Technological Research Institute, State Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050021, ChinaState Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401, ChinaState Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401, ChinaMulti-port soft open points (SOPs) are effective devices for alleviating issues such as voltage violation and transformer overloading in distribution networks caused by the high penetration of distributed energy resources. This paper proposes a coordinated voltage and power control method for flexible distribution networks based on a linear quadratic regulator (LQR). First, the principle of coordinated voltage and power control is analyzed based on SOPs’ control strategies and a linear power flow model. Then, a discrete-time state-space model is constructed for flexible distribution networks with multi-port SOPs, using the voltage magnitude deviations at the AC side of all PQ-controlled voltage source converters (VSCs) and the loading rate deviations of the transformers corresponding to all PQ-controlled VSCs as state variables. An LQR-based optimal control model is then established, aiming to simultaneously minimize deviations of voltage magnitudes and transformer loading rates from their reference values, which correspond to the V<sub>dc</sub>-controlled VSC. The optimal state feedback law is obtained by solving the discrete-time algebraic Riccati equation. The proposed method has been evaluated on two typical flexible distribution networks, and the simulation results demonstrate the effectiveness of the proposed control method in improving voltage profiles and alleviating transformer overloading conditions using local measurements and very limited communication. In specific situations, the imbalance of voltages and transformer loading rates among the interconnected feeders can be reduced by 40%.https://www.mdpi.com/1996-1073/18/2/361multi-port soft open pointflexible interconnected distribution networkcoordinated voltage and power controllinear quadratic regulator
spellingShingle Zhipeng Jing
Lipo Gao
Chengao Wu
Dong Liang
Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks
Energies
multi-port soft open point
flexible interconnected distribution network
coordinated voltage and power control
linear quadratic regulator
title Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks
title_full Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks
title_fullStr Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks
title_full_unstemmed Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks
title_short Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks
title_sort linear quadratic regulator based coordinated voltage and power control for flexible distribution networks
topic multi-port soft open point
flexible interconnected distribution network
coordinated voltage and power control
linear quadratic regulator
url https://www.mdpi.com/1996-1073/18/2/361
work_keys_str_mv AT zhipengjing linearquadraticregulatorbasedcoordinatedvoltageandpowercontrolforflexibledistributionnetworks
AT lipogao linearquadraticregulatorbasedcoordinatedvoltageandpowercontrolforflexibledistributionnetworks
AT chengaowu linearquadraticregulatorbasedcoordinatedvoltageandpowercontrolforflexibledistributionnetworks
AT dongliang linearquadraticregulatorbasedcoordinatedvoltageandpowercontrolforflexibledistributionnetworks