electrical machine; finite element methods; homogenization; magnetic fields; time and frequency domain; windings
Abstract :
[en] In this paper, the authors deal with the finite-element (FE) modeling of eddy-current effects in form-wound windings of electrical machines using a previously proposed general frequency- and time-domain homogenization method. By way of demonstration and validation, a real-life 1250-kW induction machine with double-layer stator winding is considered. The skin and proximity effects in one stator conductor (copper bar) are first quantified by means of a simple low-cost FE model, leading to complex and frequency-dependent coefficients for the homogenized winding (reluctivity for proximity effect and conductivity or resistance for skin effect). These complex coefficients are subsequently translated into real-valued and constant coefficients that allow for time-domain homogenization when introducing a limited number of additional degrees of freedom in the FE model. All results obtained with the homogenized model (considering one conductor or a complete slot) agree well with those produced by a brute-force approach (modeling and finely discretizing each conductor).
P. Lombard and G. Meunier, "A general purpose method for electric and magnetic combined problems for 2D, axisymmetric and transient systems," IEEE Trans. Magn., vol.29, no.2, pp. 1737-1740, Mar. 1993.
A. Podoltsev, I. Kucheryavaya, and B. Lebedev, "Analysis of effective resistance and eddy-current losses in multiturn winding of high-frequency magnetic components," IEEE Trans. Magn., vol.39, no.1, pp. 539-548, Jan. 2003.
J. Gyselinck and P. Dular, "Frequency-domain homogenization of bundles of wires in 2D magnetodynamic FE calculations," IEEE Trans. Magn., vol.41, no.5, pp. 1416-1419, May 2005.
J. Gyselinck, R. Sabariego, and P. Dular, "Time-domain homogenisation of windings in 2-D finite element models," IEEE Trans. Magn., vol.43, no.4, pp. 1297-1300, Apr. 2007.
M. Islam and A. Arkkio, "Effects of pulse-width-modulated supply voltage on eddy currents in the form-wound stator winding of a cage induction motor," IET Electr. Power Appl., vol.3, pp. 50-58, 2009.
M. Islam, "Finite-element analysis of eddy currents in the form-wound multi-conductor windings of electrical machines," Ph.D. dissertation, Helsinki University of Technology, Espoo, Finland, 2010.
J. Lammeraner and M. Stafl, Eddy Currents. London, U.K.: ILIFFE, 1966.