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A Fast Power Calculation Algorithm for Three-Phase Droop-Controlled-Inverters Using Combined SOGI Filters and Considering Nonlinear Loads

Author

Listed:
  • Mingshen Li

    (Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain)

  • Jose Matas

    (Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain)

  • Jorge El Mariachet

    (Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain)

  • Carlos Gustavo C. Branco

    (Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain)

  • Josep M. Guerrero

    (Energy Teknik Department, Aalborg University (ET-AAU), 9220 Aalborg, Denmark)

Abstract

The power calculation is an indispensable element in droop-controlled inverters because the bandwidth of the measured power has a direct impact on the controller performance. This paper proposes a fast and accurate power calculation algorithm based on the combined Second Order Generalized Integrator (SOGI) filters in stationary coordinates for a three-phase system, which takes into consideration the use of nonlinear loads. The power calculation scheme is formed by the two-stage SOGI filters that are employed for obtaining the active and reactive powers required to perform a droop-based inverter operation, respectively. From the two-stage structure, the first SOGI is used as a band-pass filter (BPF) for filtering harmonics and obtaining the fundamental current of the nonlinear load; The second SOGI is used as a low-pass filter (LPF) for extracting the DC-component, which corresponds with the average power. A small-signal model of a two droop-controlled inverters system is built to obtain the dynamical response and stability margin of the system. And compared it with the dynamical behaviour of a standard droop-control method. Next, the proposed power calculation system is designed in order to achieve the same ripple amplitude voltage as that obtained with the standard droop-control method by adjusting the bandwidth gains. Through simulation and hardware in the loop (HIL) validation, the proposed approach presents a faster and more accurate performance when sharing nonlinear loads, and also drives the inverters’ output voltage with lower distortion.

Suggested Citation

  • Mingshen Li & Jose Matas & Jorge El Mariachet & Carlos Gustavo C. Branco & Josep M. Guerrero, 2022. "A Fast Power Calculation Algorithm for Three-Phase Droop-Controlled-Inverters Using Combined SOGI Filters and Considering Nonlinear Loads," Energies, MDPI, vol. 15(19), pages 1-16, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7360-:d:935371
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    References listed on IDEAS

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    1. Jiayi, Huang & Chuanwen, Jiang & Rong, Xu, 2008. "A review on distributed energy resources and MicroGrid," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(9), pages 2472-2483, December.
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    3. Fang Lu & Hongda Liu, 2022. "An Accurate Power Flow Method for Microgrids with Conventional Droop Control," Energies, MDPI, vol. 15(16), pages 1-15, August.
    4. Hossein Shayeghi & Elnaz Shahryari & Mohammad Moradzadeh & Pierluigi Siano, 2019. "A Survey on Microgrid Energy Management Considering Flexible Energy Sources," Energies, MDPI, vol. 12(11), pages 1-26, June.
    5. Elutunji Buraimoh & Anuoluwapo O. Aluko & Oluwafemi E. Oni & Innocent E. Davidson, 2022. "Decentralized Virtual Impedance- Conventional Droop Control for Power Sharing for Inverter-Based Distributed Energy Resources of a Microgrid," Energies, MDPI, vol. 15(12), pages 1-16, June.
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