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

Author

Listed:
  • Shi Chen

    (School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China)

  • Hong Zhou

    (School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China)

  • Jingang Lai

    (E.ON Energy Research Center, RWTH Aachen University, 52074 Aachen, Germany)

  • Yiwei Zhou

    (School of engineering, University of South Wales, Pontypridd CF37 1DL, UK)

  • Chang Yu

    (School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China)

Abstract

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.

Suggested Citation

  • Shi Chen & Hong Zhou & Jingang Lai & Yiwei Zhou & Chang Yu, 2020. "Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations," Energies, MDPI, vol. 13(5), pages 1-24, March.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:5:p:1257-:d:330122
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    References listed on IDEAS

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    1. Li, Xiang, 2008. "The role of degree-weighted couplings in the synchronous onset of Kuramoto oscillator networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6624-6630.
    2. Gu, Ya-Qin & Shao, Chun & Fu, Xin-Chu, 2006. "Complete synchronization and stability of star-shaped complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 480-488.
    3. Tian, Meng & Dong, Zhengcheng & Cui, Mingjian & Wang, Jianhui & Wang, Xianpei & Zhao, Le, 2019. "Energy-supported cascading failure model on interdependent networks considering control nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 195-204.
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    Cited by:

    1. Pierluigi Siano & Miadreza Shafie-khah, 2020. "Special Issue on Advanced Approaches, Business Models, and Novel Techniques for Management and Control of Smart Grids," Energies, MDPI, vol. 13(11), pages 1-3, May.

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