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Stability Analysis of Grid-Connected Converters with Different Implementations of Adaptive PR Controllers under Weak Grid Conditions

Author

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  • Xing Li

    (State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Hua Lin

    (State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

Adaptive proportional resonant (PR) controllers, whose resonant frequencies are obtained by the phase-locked loop (PLL), are employed in grid connected voltage source converters (VSCs) to improve the control performance in the case of grid frequency variations. The resonant frequencies can be estimated by either synchronous reference frame PLL (SRF-PLL) or dual second order generalized integrator frequency locked loop (DSOGI-FLL), and there are three different implementations of the PR controllers based on two integrators. Hence, in this paper, system stabilities of the VSC with different implementations of PR controllers and different PLLs under weak grid conditions are analyzed and compared by applying the impedance-based method. First, the αβ -domain admittance matrixes of the VSC are derived using the harmonic linearization method. Then, the admittance matrixes are compared with each other, and the influences of their differences on system stability are revealed. It is demonstrated that if DSOGI-FLL is used, stabilities of the VSC with different implementations of the PR controllers are similar. Moreover, the VSC using a DSOGI-FLL is more stable than that using a SRF-PLL. The simulation and experimental results are conducted to verify the correctness of theoretical analysis.

Suggested Citation

  • Xing Li & Hua Lin, 2018. "Stability Analysis of Grid-Connected Converters with Different Implementations of Adaptive PR Controllers under Weak Grid Conditions," Energies, MDPI, vol. 11(8), pages 1-17, August.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:8:p:2004-:d:161388
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    References listed on IDEAS

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    1. Youngho Cho & Kyeon Hur & Yong Cheol Kang & Eduard Muljadi, 2017. "Impedance-Based Stability Analysis in Grid Interconnection Impact Study Owing to the Increased Adoption of Converter-Interfaced Generators," Energies, MDPI, vol. 10(9), pages 1-17, September.
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    Cited by:

    1. Panos C. Papageorgiou & Konstantinos F. Krommydas & Antonio T. Alexandridis, 2020. "Validation of Novel PLL-driven PI Control Schemes on Supporting VSIs in Weak AC-Connections," Energies, MDPI, vol. 13(6), pages 1-21, March.
    2. Ventosa-Cutillas, Antonio & Montero-Robina, Pablo & Cuesta, Federico & Gordillo, Francisco, 2020. "A simple modulation approach for interfacing three-level Neutral-Point-Clamped converters to the grid," Energy, Elsevier, vol. 205(C).
    3. Teuvo Suntio & Tuomas Messo, 2019. "Power Electronics in Renewable Energy Systems," Energies, MDPI, vol. 12(10), pages 1-5, May.
    4. Teuvo Suntio & Tuomas Messo & Matias Berg & Henrik Alenius & Tommi Reinikka & Roni Luhtala & Kai Zenger, 2019. "Impedance-Based Interactions in Grid-Tied Three-Phase Inverters in Renewable Energy Applications," Energies, MDPI, vol. 12(3), pages 1-31, January.
    5. Chen Zheng & Qionglin Li & Lin Zhou & Bin Li & Mingxuan Mao, 2018. "The Interaction Stability Analysis of a Multi-Inverter System Containing Different Types of Inverters," Energies, MDPI, vol. 11(9), pages 1-17, August.
    6. Claudio Burgos-Mellado & Alessandro Costabeber & Mark Sumner & Roberto Cárdenas-Dobson & Doris Sáez, 2019. "Small-Signal Modelling and Stability Assessment of Phase-Locked Loops in Weak Grids," Energies, MDPI, vol. 12(7), pages 1-30, March.
    7. Bahram Shakerighadi & Esmaeil Ebrahimzadeh & Frede Blaabjerg & Claus Leth Bak, 2018. "Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method," Energies, MDPI, vol. 11(10), pages 1-16, September.

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