Low-order thermal models of electrical machines are fundamental for the design and management of electric powertrains since they allow evaluation of multiple drive cycles in a very short simulation time and implementation of model-based control schemes. A common technique to obtain these models involves homogenization of the electrical winding geometry and thermal properties. However, incorrect estimation of homogenized parameters has a significant impact on the accuracy of the model. Since the experimental estimation of these parameters is both costly and time-consuming, authors usually prefer to rely either on simple analytical formulae or complex numerical calculations. In this paper, we derive a low-order homogenized model using the method of multiple-scales (MS) and show that this gives an accurate steady-state and transient prediction of hot-spot temperature within the windings. The accuracy of the proposed method is shown by comparing the results with both high-order numerical simulations and experimental measurements from the literature.
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Thermal Homogenization of Electrical Machine Windings Applying the Multiple-Scales Method
Pietro Romanazzi,
Pietro Romanazzi
Department of Engineering Science,
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: pietro.romanazzi@eng.ox.ac.uk
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: pietro.romanazzi@eng.ox.ac.uk
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David A. Howey
David A. Howey
Department of Engineering Science,
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: david.howey@eng.ox.ac.uk
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: david.howey@eng.ox.ac.uk
Search for other works by this author on:
Pietro Romanazzi
Department of Engineering Science,
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: pietro.romanazzi@eng.ox.ac.uk
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: pietro.romanazzi@eng.ox.ac.uk
Maria Bruna
David A. Howey
Department of Engineering Science,
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: david.howey@eng.ox.ac.uk
University of Oxford,
Oxford OX1 3PJ, UK
e-mail: david.howey@eng.ox.ac.uk
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 8, 2016; final manuscript received July 22, 2016; published online August 30, 2016. Assoc. Editor: Gongnan Xie.
J. Heat Transfer. Jan 2017, 139(1): 012101 (8 pages)
Published Online: August 30, 2016
Article history
Received:
February 8, 2016
Revised:
July 22, 2016
Citation
Romanazzi, P., Bruna, M., and Howey, D. A. (August 30, 2016). "Thermal Homogenization of Electrical Machine Windings Applying the Multiple-Scales Method." ASME. J. Heat Transfer. January 2017; 139(1): 012101. https://doi.org/10.1115/1.4034337
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