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Chaotic and subharmonic oscillations in a DC–DC boost converter with PWM voltage–current hybrid controller and parallel MR load

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Abstract

This paper reports a pulse-width modulation voltage-mode- and current-mode-controlled DC–DC boost converter with parallel memristance and resistance loads. This circuit system has two distinct states, i.e., ON-state and OFF-state, which mainly depend on the outputs of a reset–set (RS) flip-flop that are subject to a voltage–current dual closed-loop controller and a \(T_r\)-periodic modulation signal. Based on the mathematical model and analyses of the circuit system, it is found that there exist chaotic and subharmonic dynamics for given parameters when the triggering period \(T_f\) of the RS flip-flop varies. To exhibit the existing nonlinear dynamics of the circuit system in NI Multisim, we also design a mixed-signal circuit to implement the reported system and the observed experimental results are consistent with the numerical results.

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Acknowledgements

This work is partly supported by the National Natural Science Foundation of China (Grant Nos. 61873186 and 61773282), the Application Base and Frontier Technology Research Project of Tianjin of China (Grant Nos. 13JCQNJC03600) and South African National Research Foundation (Grant Nos. 112142 and 112108), South African National Research Foundation Incentive Grant (No. 114911) and Tertiary Education Support Programme (TESP) of South African ESKOM.

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Authors and Affiliations

  1. Maintenance Branch, State Grid Jibei Electric Power Company Limited, Beijing, 102488, China

    Ruiye Zhang

  2. School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China

    Ruiye Zhang & Aiguo Wu

  3. Department of Electrical and Mining Engineering, University of South Africa, Florida, 1710, South Africa

    Zenghui Wang

  4. Department of Product Design, Tianjin University of Science and Technology, Tianjin, 300457, China

    Shijian Cang

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  1. Ruiye Zhang
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Correspondence to Shijian Cang.

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Zhang, R., Wu, A., Wang, Z. et al. Chaotic and subharmonic oscillations in a DC–DC boost converter with PWM voltage–current hybrid controller and parallel MR load. Nonlinear Dyn 99, 1321–1339 (2020). https://doi.org/10.1007/s11071-019-05357-z

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