Two-dimensional steady-state thermal analytical model of permanent-magnet synchronous machines operating in generator mode

Zakarya Djelloul Khedda; Kamel Boughrara; Frédéric Dubas; Baocheng Guo; El Hadj Ailam

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Two-dimensional steady-state thermal analytical model of permanent-magnet synchronous machines operating in generator mode

Zakarya Djelloul Khedda ^[4] ; Kamel Boughrara ^[5] ; Frédéric Dubas ^[1] ; Baocheng Guo ^[2] ; El Hadj Ailam ^[3]
1. [1] Université Bourgogne Franche-Comté
  
  Université Bourgogne Franche-Comté
  
  Arrondissement de Besançon, Francia
2. [2] Nanjing Normal University
  
  Nanjing Normal University
  
  China
3. [3] Université Ziane Achour de Djelfa
  
  Université Ziane Achour de Djelfa
  
  Argelia
4. [4] Ecole Nationale Polytechnique; Université Djilali Bounaama Khemis Miliana, Argelia
5. [5] Ecole Nationale Polytechnique, Argelia
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Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 41, Nº 1, 2022, págs. 125-154
Idioma: inglés
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Resumen
- Purpose – Thermal analysis of electrical machines is usually performed by using numerical methods or lumped parameter thermal networks depending on the desired accuracy. The analytical prediction of temperature distribution based on the formal resolution of thermal partial differential equations (PDEs) by the harmonic modeling technique (or the Fourier method) is uncommon in electrical machines. Therefore, this paper aims to present a two-dimensional (2D) analytical model of steadystate temperature distribution for permanent-magnet (PM) synchronous machines (PMSM) operating in generator mode.
  
  Design/methodology/approach – The proposed model is based on the multi-layer models with the convolution theorem (i.e. Cauchy’s product theorem) by using complex Fourier’s series and the separation of variables method. This technique takes into the different thermal conductivities of the machine parts. The heat sources are determined by calculating the different power losses in the PMSM with the finite-element method (FEM).
  
  Findings – To validate the proposed analytical model, the analytical results are compared with those obtained by thermal FEM. The comparisons show good results of the proposed model.
  
  Originality/value – A new 2D analytical model based on the PDE in steady-state for full prediction of temperature distribution in the PMSM takes into account the heat transfer by conduction, convection and radiation.