Abstract
In electric machines due to high currents and resistive losses (joule heating) heat is produced. To avoid damages by overheating the design of effective cooling systems is required. Therefore the knowledge of heat sources and heat transfer processes is necessary. The purpose of this paper is to illustrate a good and effective calculation method for the temperature analysis based on homogenization techniques. These methods have been applied for the stator windings in a slot of an electric machine consisting of copper wires and resin. The key quantity here is an effective thermal conductivity, which characterizes the heterogeneous wire resin-arrangement inside the stator slot. To illustrate the applicability of the method, the analysis of a simplified, homogenized model is compared with the detailed analysis of temperature behavior inside a slot of an electric machine according to the heat generation. We considered here only the stationary situation. The achieved numerical results are accurate and show that the applied homogenization technique works in practice. Finally the results of simulations for the two cases, the original model of the slot and the homogenized model chosen for the slot (unit cell), are compared to experimental results.
Similar content being viewed by others
Notes
Rotor and its effects are not considered for simulations and experiments in this paper.
Here, phase to neutral because of the star- or Y connection.
References
http://www.britannica.com/EBchecked/topic/182667/electric-motor/45835/Synchronous-motors. Date of access, Feb 2012
http://www.johnsonelectric.com/en/resources-for-engineers/motors/basics-of-motors/synchronous-motor-overview.html. Date of access, Feb 2012
http://webserver.ignou.ac.in/schools/soet/CourseBook/Electrical%20Technology/Unit%207.pdf. Date of access, Feb 2012
http://services.eng.uts.edu.au/cempe/subjects_JGZ/eet/eet_ch6.pdf. Date of access, Feb 2012
Milton GW (1981) Bonds on the transport and optical properties of a two component composite material. J Appl Phys 52:5294–5304
Torquato S, Lado F (1988) Bonds on the conductivity of a random array of cylinders.Proc R Soc Lond Ser A Math Phys Sci 417(1852):S59–S80
Idoughi L, Mininger X, Bouillault F, Bernard L, Hoang E (2011) Thermal model with winding homogenization and FIT discretization for stator slot. IEEE Trans Magn 47(12):S4822–S4826
Daniel L, Corcolle R (2007) A note on the effective magnetic permeability of polycrystals. IEEE Trans Magn 43(7):S3153–S3158
COMSOL Version 4.2 May 2011, COMSOL Multiphysics User’s Guide. United States of America, Copyright 1998–2011 COMSOL, 2011
COMSOL Version 4.2 May 2011 Heat Transfer Module-User’s Guide. United States of America, Copyright 1998–2011 COMSOL, 2011
Bergman TL, Lavine AS, Incropera FP, Dewitt DP (2011) Introduction to heat transfer, sixth edition. United States of America, Copyright 2011, 2007, 2002 by Willey, New York. All Rights Reserved
Walker J (2011) Halliday and resnick fundamentals of physics. Wiley, New York. All rights reserved
Hans Dieter Bähr Karl Stephan (2008) Wärme- und Stoffübertragung. Springer, Germany
Verein Deutscher Ingenieure VDI-Gesellschaft Verfahrenstechnik und Chemieingenieurwesen (GVC) (2006) VDI-Wärmeatlas. Springer, Berlin
Wang HY, Su PS, Wang XH (2005) Calculation on the thermal field of the water cooling stator of Three-Gorge Hydro-Generator. IEEE Electrical Machines and Systems, pp S2231–S2235
Seghir-Oualil S, Harmand S, Laloy D (2009) Study of the thermal behavior of a synchronous motor with permanent magnets. Int J Eng 3:S229–S256
Pieper M, Klein P (2012) Application of simple, periodic homogenization techniques to non-linear heat conduction problems in non-peridodic, porous media. Heat Mass Transf 48(2):291–300
Bourgat JF (1979) Numerical experiments of the homogenization method for operators with periodic coefficients. Lecture notes in mathematics, vol 704.s.l. Springer, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Alebouyeh Samami, B., Pieper, M., Breitbach, G. et al. Heat production in the windings of the stators of electric machines under stationary condition. Heat Mass Transfer 50, 1707–1716 (2014). https://doi.org/10.1007/s00231-014-1371-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-014-1371-8