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Mixed H 2 /H ∞ Optimal Voltage Control Design for Smart Transformer Low-Voltage Inverter

Author

Listed:
  • Wei Hu

    (Electric Power Research Institute, State Grid Hubei Electric Power Company, Wuhan 430077, China)

  • Yu Shen

    (Electric Power Research Institute, State Grid Hubei Electric Power Company, Wuhan 430077, China)

  • Zhichun Yang

    (Electric Power Research Institute, State Grid Hubei Electric Power Company, Wuhan 430077, China)

  • Huaidong Min

    (Electric Power Research Institute, State Grid Hubei Electric Power Company, Wuhan 430077, China)

Abstract

The smart transformer has been widely applied for the integration of renewables and loads. For the smart transformer application, the voltage control of low-voltage inverter is important for feeding the load. In this paper, a multi-objective optimization control design approach which comprehensively considers all aspects of indexes, such as linear quadratic (LQ) index, H ∞ norm, and closed-loop poles placement, is proposed based on the linear matrix inequality (LMI) solution. The proposed approach is able to alleviate the weight of the designer from the tedious design process of the multiple resonant controllers and the selection of the weighting matrix for the LQ control. Besides that, some excellent performances such as fast recovering time, low total harmonic distortion (THD) and high robustness are achieved by the proposed approach. The THD are 0.5% and 1.7% for linear and non-linear loads, respectively. The voltage drop for linear load step is reduced to 10 V. The proposed approach is applied to a 5 kVA three-phase inverter to yield an optimal control law. Results from the simulation and experiment presented herein will illustrate and validate the proposed approach.

Suggested Citation

  • Wei Hu & Yu Shen & Zhichun Yang & Huaidong Min, 2022. "Mixed H 2 /H ∞ Optimal Voltage Control Design for Smart Transformer Low-Voltage Inverter," Energies, MDPI, vol. 15(1), pages 1-18, January.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:1:p:365-:d:717847
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    Citations

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    Cited by:

    1. Hamid Saeed Khan & Attaullah Y. Memon, 2022. "Robust Output Feedback Control of the Voltage Source Inverter in an AC Microgrid," Energies, MDPI, vol. 15(15), pages 1-21, August.

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