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Bursting oscillations and bifurcation mechanism in a permanent magnet synchronous motor system with external load perturbation

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  • Zhang, Shaohua
  • Zhang, Hongli
  • Wang, Cong
  • Ma, Ping

Abstract

This research aims to study the bursting oscillations and bifurcation mechanism in a permanent magnet synchronous motor (PMSM) system with external load perturbation. When an order gap exists between the external load perturbation frequency and the natural frequency of the PMSM system, the PMSM system exhibits bursting oscillation behaviors. First, the mathematical model of a PMSM with external load perturbation is established by considering the external load perturbation as a slow-varying parameter. The PMSM system is transformed into a generalized autonomous PMSM system. Second, the Fold and Hopf bifurcation conditions of the PMSM system are obtained through bifurcation analysis. Third, the bursting oscillations and bifurcation mechanism of the PMSM system are analyzed in detail by using equilibrium point distribution and bifurcation diagrams, transformed phase portraits, and time series diagrams. The PMSM system exhibits periodic symmetric Fold/Fold bursting oscillations and periodic delayed subHopf/subHopf bursting oscillations, as the parameters change. When the amplitude of the external load perturbation changes and the PMSM system parameters are fixed, the bursting oscillation processes in different ranges of amplitude are revealed.

Suggested Citation

  • Zhang, Shaohua & Zhang, Hongli & Wang, Cong & Ma, Ping, 2020. "Bursting oscillations and bifurcation mechanism in a permanent magnet synchronous motor system with external load perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307505
    DOI: 10.1016/j.chaos.2020.110355
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    References listed on IDEAS

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    1. Wang, Haixia & Wang, Qingyun & Lu, Qishao, 2011. "Bursting oscillations, bifurcation and synchronization in neuronal systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 667-675.
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    3. Wen, Zihao & Li, Zhijun & Li, Xiang, 2019. "Bursting oscillations and bifurcation mechanism in memristor-based Shimizu–Morioka system with two time scales," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 58-70.
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    Cited by:

    1. Danjin Zhang & Youhua Qian, 2023. "Bursting Oscillations in General Coupled Systems: A Review," Mathematics, MDPI, vol. 11(7), pages 1-16, April.
    2. Sun, Xi & Yan, Shaohui & Zhang, Yuyan & Wang, Ertong & Wang, Qiyu & Gu, Binxian, 2022. "Bursting dynamics and the zero-Hopf bifurcation of simple jerk system," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Zhang, Shaohua & Wang, Cong & Zhang, Hongli & Ma, Ping & Li, Xinkai, 2022. "Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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