An equivalent complex permeability model for litz-wire windings

IEEE Transactions on Industry Applications

Volumn 45, Issue 2, 2009, Pages 854-860

  Nan, Xi ^a   Sullivan, Charles R ^b  

^a Azure Dynamics   (United States)

^b DARTMOUTH COLLEGE   (United States)

Author keywords

Complex permeability; Eddy currents; Inductors; Litz wire; Magnetic devices; Power conversion; Power transformers; Proximity effect; Skin effect

Indexed keywords

COMPLEX PERMEABILITY; INDUCTORS; LITZ WIRE; POWER CONVERSION; PROXIMITY EFFECT;

CAPILLARITY; EDDY CURRENTS; ELECTRIC CONDUCTORS; ELECTRIC INSTRUMENT TRANSFORMERS; HOMOGENIZATION METHOD; MAGNETIC DEVICES; MAGNETIC LEAKAGE; MECHANICAL PERMEABILITY; OPTICAL LOSSES; POWER TRANSFORMERS; SKIN; TRANSFORMER SUBSTATIONS; TRANSFORMER WINDINGS; WIRE;

WINDING;

EID: 64049117178     PISSN: 00939994     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIA.2009.2013594     Document Type: Article

References (18)

1. E. C. Snelling, Soft Ferrites: Properties and Applications, 2nd ed. London, U.K.: Butterworth, 1988.
2. C. R. Sullivan, "Optimal choice for number of strands in a litz-wire transformer winding," IEEE Trans. Power Electron., vol. 14, no. 2, pp. 283-291, Mar. 1999.
3. P. N. Murgatroyd, "Calculation of proximity losses in multistranded conductor bunches," Proc. Inst. Elect. Eng., vol. 36, no. 3, pt. A, pp. 115-120, May 1989.
4. J. Ferreira, "Analytical computation of ac resistance of round and rectangular litz wire windings," Proc. Inst. Elect. Eng. - Elect. Power Appl., vol. 139, no. 1, pp. 21-25, Jan. 1992.
5. J. Acero, R. Alonso, J. Budio, L. Barragan, and D. Puyal, "Frequency-dependent resistance in litz-wire planar windings for domestic induction heating appliances," IEEE Trans. Power Electron. vol. 21, no. 4, pp. 856-866, Jul. 2006.
6. J. Acero, R. Alonso, J. Burdio, L. Barragan, and C. Carretero, "A model of losses in twisted-multistranded wires for planar windings used in domestic induction heating appliances," in Proc. 22nd Annu. IEEE APEC, 2007, pp. 1247-1253.
7. M. Bartoli, N. Noferi, A. Reatti, and M. Kazimierczuk, "Modeling litz-wire winding losses in high-frequency power inductors," in Proc. IEEE Power Electron. Spec. Conf., 1996, vol. 2, pp. 1690-1696.
8. X. Nan and C. R. Sullivan, "An improved calculation of proximity-effect loss in high frequency windings of round conductors," in Proc. 34th Annu. IEEE Power Electron. Spec. Conf., Jun. 2003, vol. 2, pp. 853-860.
9. A. van den Bossche and V. Valchev, Inductors and Transformers for Power Electronics. New York: Taylor & Francis, 2005.
10. X. Nan and C. R. Sullivan, "Simplified high-accuracy calculation of eddy-current loss in round-wire windings," in Proc. 35th Annu. IEEE Power Electron. Spec. Conf., Jun. 2004, vol. 2, pp. 873-879.
11. E. Keradec, J. P. Laveuve, and J. Roudet, "Multipolar development of vector potential for parallel wires. Application to the study of eddy currents effects in transformer windings," IEEE Trans. Magn., vol. 27, no. 5, pp. 4242-4245, Sep. 1991.
12. C. Larouci, J.-P. Keradec, J.-P. Ferrieux, L. Gerbaud, and J. Roudet, "Copper losses of flyback transformer: Search for analytical expressions," IEEE Trans. Magn., vol. 39, no. 3, pp. 1745-1748, May 2003.
13. R. L. Stoll, The Analysis of Eddy Currents. Oxford, U.K.: Clarendon, 1974.
14. O. Moreau, L. Popiel, and J. Pages, "Proximity losses computation with a 2D complex permeability modelling," IEEE Trans. Magn., vol. 34, no. 5, pp. 3616-3619, Sep. 1998.
15. J. Gyselinck and P. Dular, "Frequency-domain homogenization of bundles of wires in 2-d magnetodynamic FE calculations," IEEE Trans. Magn. vol. 41, no. 5, pp. 1416-1419, May 2005.
16. J. Gyselinck, R. V. Sabariego, and P. Dular, "Time-domain homogenization of windings in 2-D finite element models," IEEE Trans. Magn., vol. 43, no. 4, pp. 1297-1300, Apr. 2007.
17. A. D. Podoltsev, "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.
18. X. Nan and C. R. Sullivan, "A two-dimensional equivalent complex permeability model for round-wire windings," in Proc. 36th Annu. IEEE Power Electron. Spec. Conf., Jun. 2005, pp. 613-618.