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

Wei Hu, Yu Shen, Zhichun Yang and Huaidong Min
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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

Energies, 2022, vol. 15, issue 1, 1-18

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.

Keywords: inverter control; linear quadratic (LQ) index; H ? control; poles placement; linear matrix inequality (LMI) (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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