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Background <p>The non-smooth-air-gap permanent magnet synchronous motors (NSAGPMSM) are widely used in many industrial applications. However, these uses are not without challenges. Previous works in the permanent magnet synchronous motors has highlighted the importance of considering the effects of temperature on their performance. Aim This paper investigates the dynamical analysis, microcontroller execution and chaos suppression using genetic algorithms (GAs) in the NSAGPMSM under the effect of temperature (NSAGPMSMT).</p> Methods <p>Kirchhoff’s laws, Park transformation and second law of Newton are used to derive the three-dimensional system describing the NSAGPMSMT. The Newton-Raphson method, Routh-Hurwitz criterion, fourth order Runge Kutta algorithm, microcontroller execution method and GAs are used in this paper.</p> Results <p>The NSAGPMSMT has three steady states. Leaning on stability exploration of the steady states, it is unveiled that NSAGPMSMT has a Hopf bifurcation. It exhibits no oscillations, periodic characteristics, period doubling to chaos, period tripling to chaos, six different shapes of chaotic characteristics, and coexistence between no oscillations and chaos. A microcontroller execution of the NSAGPMSMT is employed to verify the dynamical characteristics found in the NSAGPMSMT in the course of the numerical simulations. By optimizing all the parameters of NSAGPMSMT employing GAs, the chaotic time evolutions of state variables of NSAGPMSMT converge towards one of the three steady states which confirm chaos suppression in the NSAGPMSMT by employing GAs.</p> Conclusion <p>The dynamical characteristics encountered in the NSAGPMSMT are validated by the microcontroller execution and chaotic characteristics are controlled succesfully.</p>

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Non-Smooth-Air-Gap Permanent Magnet Synchronous Motor Under the Effect of Temperature Embedded in the Microcontroller: Dynamical Appraisal and Chaos Suppression Employing Genetic Algorithms

  • 期刊论文

  • 发表日期：

    2025年1月31日

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  • Giles Yamdjeu,
  • Balakrishnan Sriram,
  • Sifeu Takougang Kingni,
  • D. Chandra Sekhar,
  • Alidou Mohamadou

摘要

Background

The non-smooth-air-gap permanent magnet synchronous motors (NSAGPMSM) are widely used in many industrial applications. However, these uses are not without challenges. Previous works in the permanent magnet synchronous motors has highlighted the importance of considering the effects of temperature on their performance. Aim This paper investigates the dynamical analysis, microcontroller execution and chaos suppression using genetic algorithms (GAs) in the NSAGPMSM under the effect of temperature (NSAGPMSMT).

Methods

Kirchhoff’s laws, Park transformation and second law of Newton are used to derive the three-dimensional system describing the NSAGPMSMT. The Newton-Raphson method, Routh-Hurwitz criterion, fourth order Runge Kutta algorithm, microcontroller execution method and GAs are used in this paper.

Results

The NSAGPMSMT has three steady states. Leaning on stability exploration of the steady states, it is unveiled that NSAGPMSMT has a Hopf bifurcation. It exhibits no oscillations, periodic characteristics, period doubling to chaos, period tripling to chaos, six different shapes of chaotic characteristics, and coexistence between no oscillations and chaos. A microcontroller execution of the NSAGPMSMT is employed to verify the dynamical characteristics found in the NSAGPMSMT in the course of the numerical simulations. By optimizing all the parameters of NSAGPMSMT employing GAs, the chaotic time evolutions of state variables of NSAGPMSMT converge towards one of the three steady states which confirm chaos suppression in the NSAGPMSMT by employing GAs.

Conclusion

The dynamical characteristics encountered in the NSAGPMSMT are validated by the microcontroller execution and chaotic characteristics are controlled succesfully.