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2-D FEM Tuned Analytical Approximation for Fringing Permeances

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Scientific Computing in Electrical Engineering

Part of the book series: Mathematics in Industry ((MATHINDUSTRY,volume 4))

Abstract

This paper presents an analytical approach for calculating fringing permeances in gapped inductors. For most of the gapped inductors, the permeance of other field paths out of the air gap (the fringing paths) is not negligible. Existing three-dimensional modelling techniques using finite element analysis for magnetic components are accurate, but require prohibitive amount of simulation time. Twodimensional models are often used, but the accuracy is low as a 2D simulation fails taking into account important 3D effects. We present analytical approximations for fringing permeance calculation for the most usual field patterns, denoted as basic cases. The proposed fringing coefficients can be used to present all symmetrical cases and cases with multiple air gaps. The derived equations are sufficient for a normal engineering accuracy.

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References

  1. Chew, W.M., Evans, P.D.: High-frequency inductor design concepts, in Proc. IEEE PESC’91, (1991) pp. 673–678.

    Google Scholar 

  2. Nysveen, A., Hernes, M.: Minimum loss design of a 100kHz inductor with foil windings, EPE93, Brighton, September 13-16, 1993, pp. 106–111.

    Google Scholar 

  3. Leonavicisius, V., Duffy, M., Mathuna, C.O., Boeke, U.: Comparison of different techniques to realise PFC boost inductor, APEC 2002, Dallas, USA, 10-14 March 2002, pp. 1183–1189.

    Google Scholar 

  4. Walmeier, P.W.: Improved analytical modelling of conduction losses in gapped high-frequency inductors, IEEE Trans. on Ind. Applics, 37-4, (2001) pp. 1045–1054.

    Article  Google Scholar 

  5. Evans, P.D., Saied, B.M.: Calculation of effective inductance of gapped core assemblies, IEE Proceeding, vol. 133-1, (1986) pp. 41–45.

    Google Scholar 

  6. Chandler, P.L., Yan, X., Paterson, D.J.: Novel high-power ferrite inductor design with improved design accuracy and overall performance, IEEE 32nd Annual PESC-2001, Vol. 4, pp. 2090–2094.

    Google Scholar 

  7. Rahmi-Kain, A., Keyhani, A., Powell, J.: Minimum loss design of 100kHz inductor with litz wire, IEEE IAS Annual Meeting, New Orleans, October 5-9, 1997, pp. 1414–1420.

    Google Scholar 

  8. Hoke, A.F., Sullivan, C.R.: An improved two-dimensional numerical modeling method for E-core transforms, APEC 2002, Dallas, USA, 10-14 March 2002, pp. 151–157.

    Google Scholar 

  9. Balakrishnan, A., Joines, W.T., Wilson, Th.G.: Air gap reluctance and inductance calculations for magnetic circuits using a Schwartz-Christoffel transformation, IEEE Trans. on Power Electr., vol. 12-4, (1997) pp. 654–663.

    Article  Google Scholar 

  10. Kofler, H.: Force and torque in single phase pole induction motors with eccentric rotor: an attempt to include slot effects due the eccentricity, ICEM 2000, Espoo, Finland, 20-28 August 2000, pp. 1825–1828.

    Google Scholar 

  11. Kulda, J., Adam, J.: The magnetic field in air-gap slotted on side, Elektrotechnische Zeitschrift ETZ A, vol 91-2, (1970) pp. 109–113

    Google Scholar 

  12. Col. McLyman: Transformer and inductor design handbook, Marcel Dekker (1988).

    Google Scholar 

  13. Van den Bossche, A., Valchev, V., Filchev, T.: Improved approximation for permeances of gapped inductors, IEEE-IAS 37th Annual Meeting, Pittsburgh, PA, USA, 13-18 October, 2002

    Google Scholar 

  14. Meeker, D.: Finite Element Method Magnetics (FEMM), http://femm.berlios.de/.

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© 2004 Springer-Verlag Berlin Heidelberg

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Valchev, V., Van den Bossche, A., Filchev, T. (2004). 2-D FEM Tuned Analytical Approximation for Fringing Permeances. In: Schilders, W.H.A., ter Maten, E.J.W., Houben, S.H.M.J. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55872-6_44

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  • DOI: https://doi.org/10.1007/978-3-642-55872-6_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21372-7

  • Online ISBN: 978-3-642-55872-6

  • eBook Packages: Springer Book Archive

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