Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations

The ideal distributed network composed of distributed generations (DGs) has unweighted and undirected interactions which omit the impact of the power grid structure and actual demand. Apparently, the coupling relationship between DGs, which is determined by line impedance, node voltage, and droop co...

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Main Authors: Shi Chen, Hong Zhou, Jingang Lai, Yiwei Zhou, Chang Yu
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/5/1257
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author Shi Chen
Hong Zhou
Jingang Lai
Yiwei Zhou
Chang Yu
author_facet Shi Chen
Hong Zhou
Jingang Lai
Yiwei Zhou
Chang Yu
author_sort Shi Chen
collection DOAJ
description The ideal distributed network composed of distributed generations (DGs) has unweighted and undirected interactions which omit the impact of the power grid structure and actual demand. Apparently, the coupling relationship between DGs, which is determined by line impedance, node voltage, and droop coefficient, is generally non-homogeneous. Motivated by this, this paper investigates the phase synchronization of an islanded network with large-scale DGs in a non-homogeneous condition. Furthermore, we explicitly deduce the critical coupling strength formula for different weighting cases via the synchronization condition. On this basis, three cases of Gaussian distribution, power-law distribution, and frequency-weighted distribution are analyzed. A synthetical analysis is also presented, which helps to identify the order parameter. Finally, this paper employs the numerical simulation methods to test the effectiveness of the critical coupling strength formula and the superiority over the power-law distribution.
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spelling doaj.art-82e9c8dd9629448ba3fe6d42ffd45f9c2022-12-22T04:22:02ZengMDPI AGEnergies1996-10732020-03-01135125710.3390/en13051257en13051257Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed GenerationsShi Chen0Hong Zhou1Jingang Lai2Yiwei Zhou3Chang Yu4School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaE.ON Energy Research Center, RWTH Aachen University, 52074 Aachen, GermanySchool of engineering, University of South Wales, Pontypridd CF37 1DL, UKSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaThe ideal distributed network composed of distributed generations (DGs) has unweighted and undirected interactions which omit the impact of the power grid structure and actual demand. Apparently, the coupling relationship between DGs, which is determined by line impedance, node voltage, and droop coefficient, is generally non-homogeneous. Motivated by this, this paper investigates the phase synchronization of an islanded network with large-scale DGs in a non-homogeneous condition. Furthermore, we explicitly deduce the critical coupling strength formula for different weighting cases via the synchronization condition. On this basis, three cases of Gaussian distribution, power-law distribution, and frequency-weighted distribution are analyzed. A synthetical analysis is also presented, which helps to identify the order parameter. Finally, this paper employs the numerical simulation methods to test the effectiveness of the critical coupling strength formula and the superiority over the power-law distribution.https://www.mdpi.com/1996-1073/13/5/1257large-scaledistributed generationslow-voltage active distribution networkislanded modenon-homogeneous modelsynchronizationstability
spellingShingle Shi Chen
Hong Zhou
Jingang Lai
Yiwei Zhou
Chang Yu
Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations
Energies
large-scale
distributed generations
low-voltage active distribution network
islanded mode
non-homogeneous model
synchronization
stability
title Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations
title_full Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations
title_fullStr Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations
title_full_unstemmed Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations
title_short Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations
title_sort phase synchronization stability of non homogeneous low voltage distribution networks with large scale distributed generations
topic large-scale
distributed generations
low-voltage active distribution network
islanded mode
non-homogeneous model
synchronization
stability
url https://www.mdpi.com/1996-1073/13/5/1257
work_keys_str_mv AT shichen phasesynchronizationstabilityofnonhomogeneouslowvoltagedistributionnetworkswithlargescaledistributedgenerations
AT hongzhou phasesynchronizationstabilityofnonhomogeneouslowvoltagedistributionnetworkswithlargescaledistributedgenerations
AT jinganglai phasesynchronizationstabilityofnonhomogeneouslowvoltagedistributionnetworkswithlargescaledistributedgenerations
AT yiweizhou phasesynchronizationstabilityofnonhomogeneouslowvoltagedistributionnetworkswithlargescaledistributedgenerations
AT changyu phasesynchronizationstabilityofnonhomogeneouslowvoltagedistributionnetworkswithlargescaledistributedgenerations