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

  • Ruiye Zhang
  • Aiguo Wu
  • Zenghui Wang
  • Shijian CangEmail author
Original paper
  • 27 Downloads

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.

Keywords

Chaotic and subharmonic oscillations DC–DC boost converter Voltage–current hybrid controller Memristance–resistance load Circuit implementation 

Notes

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.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflicts of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Maintenance BranchState Grid Jibei Electric Power Company LimitedBeijingChina
  2. 2.School of Electrical and Information EngineeringTianjin UniversityTianjinChina
  3. 3.Department of Electrical and Mining EngineeringUniversity of South AfricaFloridaSouth Africa
  4. 4.Department of Product DesignTianjin University of Science and TechnologyTianjinChina

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