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\({H_\infty }\) Loop shaping based on internal model current control structure for single-phase PWM rectifier

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Abstract

\({H_\infty }\) loop shaping in this study is used based on the internal model control (IMC) structure for single-phase pulse width modulation (PWM) rectifier current control under current sensor gain faults. The dynamic performance of this controller is investigated. \({H_\infty }\) loop shaping balances between dynamic performance and robustness. However, the dynamic performance will be degraded to attain robustness under large parametric uncertainties or sensor faults. Therefore, this controller is used in IMC structure to reduce its conservatism in these cases. The robustness of the equivalent IMC controller and \({H_\infty }\) loop shaping controller is measured in the context of gap metric. The robust stabilization and dynamic performance of both controllers are analyzed. The hardware-in-the loop experimental results show that the proposed IMC structure exhibits better dynamic performance and maintains robustness in all cases.

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Availability of data and materials

The data analyzed during the current study are available from the corresponding author on reasonable request.

Code Availability

The code is available from corresponding author on reasonable request.

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Funding

The research work was supported by the National Natural Science Foundation of China (Grant No. 61733015) and High-Speed Railway Joint Funds of the National Science Foundation of China (Grant No. U1934204).

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This paper is entirely attributed by Motaz Musa Ibrahim. The idea and the structure of the paper are provided by Lei Ma. The co-partners in the experimental verification are Yiming Zhao, Shaokun Cheng, Haoran Liu and Tianci Bo.

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Correspondence to Lei Ma.

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Ibrahim, M.M., Ma, L., Zhao, Y. et al. \({H_\infty }\) Loop shaping based on internal model current control structure for single-phase PWM rectifier. Electr Eng (2023). https://doi.org/10.1007/s00202-023-02069-x

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