Harmonic Analysis of Sliding-Mode-Controlled Buck Converters Imposed by Unmodeled Dynamics of Hall Sensor

Yanmin Wang (), Guangxin Duan, Juan Yu, Wenjiao Yue, Jiaming Ning and Bailiang Liu
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Yanmin Wang: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Guangxin Duan: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Juan Yu: Yatai Construction Science & Technology Consulting Institute Co., Ltd., Beijing 100120, China
Wenjiao Yue: Yatai Construction Science & Technology Consulting Institute Co., Ltd., Beijing 100120, China
Jiaming Ning: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
Bailiang Liu: School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China

Energies, 2023, vol. 16, issue 17, 1-20

Abstract: DC–DC buck converters have become prominent components for energy optimization in power systems, and how to improve control performances is a challenging issue to be addressed. In this paper, we aim to investigate the harmonic problem of sliding mode (SM) controlled buck converters imposed by the often-ignored unmodeled dynamics of the Hall sensor. The unified mathematical model of the whole system is established by combining the SM controller, the buck converter, and the Hall sensor, where the signal loss in the transmission process of the whole closed-loop control system is considered. Based on the Lyapunov stability theorem, the SM controller is designed to guarantee system stability, as well as to deduce the stable working areas and the tuned controller parameters. Furthermore, we introduce the descriptive function (DF) approach to investigate the influence of the unmodeled dynamics of the Hall sensor on the system harmonics in the frequency domain, which can deduce the relationship between the amplitude-frequency characteristics of the output signal and the Hall sensor. Simulations and experiments validate this paper.

Keywords: sliding mode control; DC–DC converter; harmonic analysis; unmodeled dynamics; descriptive function approach; frequency analysis (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: 2023
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