Additional losses in the stator windings of the highspeed brushless electrical machine with permanent magnets
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- Category: Power supply technologies
- Last Updated on 19 January 2017
- Published on 19 January 2017
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Authors:
O.V.Makarchuk, Cand. Sc. (Tech.), Assoc. Prof., Lviv Polytechnic National University, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Abstract:
Purpose. To propose a method for determining the additional losses in the stator windings of electrical machines, in which the current frequency is significantly higher than the mains frequency.
Methodology. The numerical methods for solving differential equations of mathematical physics are applied for the study. The Finite Element Method is used for algebraization of partial derivatives; an implicit method of backward differentiation formula is used for algebraization of time derivatives while the Newton-Raphson method is applied for solving nonlinear algebraic equations.
Findings. A mathematical model, which allows counting the total losses caused by skin effect in the slot of the stator winding of a high-speed electrical machine, was created. The model takes into account: its own slot leakage flux, the main magnetic flux, a saturation of the magnetic core, various slot forms and the method of electrical connection of conductor strands in the slot. The mathematical formulation and the boundary condition of this problem are offered.
The results of mathematical experiments of defining additional and total losses in the windings located in the half-closed and open slots for high-speed generator with permanent magnet excitation of 200 kW, 50000 rpm, are presented. The cause-and-effect relationships are analyzed. Findings can help while designing such machines.
Originality. The problem of calculating losses is formulated as a 2-dimensional boundary problem of electrodynamics, which allows us to take into account an interference of the above factors.
Practical value. The necessity for accurate determination of the losses in the phase windings of high-speed machines occurs not only when designing the windings, but also while assessing the thermal condition of such machines.
References/Список літератури
1. Thomas, A.S., Zhu, Z.Q. and Jewell, G. W., 2009. Proximity Loss Study In High Speed Flux-Switching. Magnet Machine. IEEE Transactions on Magnetics, Vol. 45(10), pp. 4748–4751.
2. Amara, Y., Reghem, P. and Barakat, G., 2010. Analytical prediction of eddy-current loss in armature windings of permanent magnet brushless AC machines. IEEE Transactions on Magnetics, Vol. 46(8), pp. 3481–3484.
3. Yamazaki, K., Fukushima, Y. and Sato, M., 2008. Loss analysis of permanent magnet motors with concentrated windings-variation of magnet eddy current loss due to stator and rotor shapes. In: IEEE, Industry Applications Society Annual Meeting.
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6. Ouyang, Z., Thomsen, O.C. and Andersen, M.A., 2009. The analysis and comparison of leakage inductance in different winding arrangements for planar transformer. In: IEEE, International Conference on Power Electronics and Drive Systems. Taipei, Taiwan, 2–5 November, 2009, Taipei.
7. Frelin, W., Berthet, M., Petit, M. and Vannier, J.C., 2009. Transformer winding losses evaluation when supplying nonlinear load. In: the 44th International IEEE Universities Power Engineering Conference (UPEC 09 ), Glasgow, United Kingdom, 1–4 September, 2009, IEEE.
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