2008-04-04
Eddy Currents in Solid Rectangular Cores
By
Progress In Electromagnetics Research B, Vol. 7, 117-131, 2008
Abstract
An expression for the eddy current loss in solid rectangular cores is obtained using linear electromagnetic field analysis. Wherefrom text book formula for eddy current loss is derived highlighting various assumptions involved. To get an insight into the current interruption phenomena, electromagnetic fields in a composite rectangular core are analyzed. It is concluded that the reduction in eddy current loss in a laminated cores is basically due to the insertion of distributed capacitors in eddy current paths. Presence of these capacitors increases the impedance of the eddy current path, reducing eddy currents and eddy current loss.
Citation
Saurabh Kumar Mukerji, Moleykutty George, M. Ramamurthy, and Khandaker Asaduzzaman, "Eddy Currents in Solid Rectangular Cores," Progress In Electromagnetics Research B, Vol. 7, 117-131, 2008.
doi:10.2528/PIERB08022801
References

1. Golding, E. W., Electrical Measurements and Measuring Instruments, 4th Ed., 521-528, Sir Isaac Pitman & Sons, Ltd., 1955.

2. Langsdorf, A. S., Theory of Alternating Current Machinery, 2nd Ed., 34-36, Tata McGraw-Hill Publishing Co. Ltd., 1999.

3. Gupta, J. B., Theory & Performance of Electrical Machines, 13th Ed., 32-34, S. K. Kataria & Sons, 2000.

4. Say, M. G., Performance and Design of Alternating Current Machines, 3rd Ed., 175-176, CBS Publishers & Distributors, 1983.

5. Reed, M., "An experimental investigation of the theory of eddy currents in laminated cores of rectangular section," Jour. IEE, Vol. 80, 567.        Google Scholar

6. Fitzgerald, A. E., C. Kingsley, Jr., and S. D. Umans, Electric Machinery, 6th Ed., 26, McGraw-Hill, 2003.

7. Stephen, J. C., Electric Machinery Fundamentals, WCB/3rd Ed., McGraw-Hill, 1999.

8. Charles, I. H., Electric Machines (Theory, Operation, Application djustment, and Control) , 2nd Ed., Pearson Education, Inc., 2002.

9. Theodore, W., Electrical Machines, Drives, and Power Systems, 5th Ed., 35, Pearson Education, 2002.

10. Poljak, D. and V. Doric, "Wire antenna model for transient analysis of simple grounding systems, Part I: The vertical grounding electrode," Progress In Electromagnetics Research, Vol. 64, 149-166, 2006.
doi:10.2528/PIER06062101        Google Scholar

11. Poljak, D. and V. Doric, "Wire antenna model for transient analysis of simple grounding systems, Part II: The horizontal grounding electrode," Progress In Electromagnetics Research, Vol. 64, 167-189, 2006.
doi:10.2528/PIER06062102        Google Scholar

12. Tang, M. and J. F. Mao, "Transient analysis of lossy nonuniform transmission lines using a time-step integration method," Progress In Electromagnetics Research, Vol. 69, 257-266, 2007.
doi:10.2528/PIER06123001        Google Scholar

13. Fau, Z., L. X. Ran, and J. A. Kong, "Source pulse optimization for UWB radio systems," Journal of Electromagnetics Waves and Applications, Vol. 20, No. 11, 1535-1550, 2006.
doi:10.1163/156939306779274309        Google Scholar

14. Okazaki, T., A. Hirata, and Z. I. Kawasaki, "Time-domain mathematical model of impulsive EM noises emitted from discharges," Journal of Electromagnetics Waves and Applications, Vol. 20, No. 12, 1681-1694, 2006.
doi:10.1163/156939306779292345        Google Scholar

15. Mukerji, S. K., G. K. Singh, S. K. Goel, and S. Manuja, "A theoretical study of electromagnetic transients in a large conducting plate due to current impact excitation," Progress In Electromagnetics Research, Vol. 76, 15-29, 2007.
doi:10.2528/PIER07052901        Google Scholar

16. Mukerji, S. K., G. K. Singh, S. K. Goel, and S. Manuja, "A theoretical study of electromagnetic transients in a large plate due to voltage impact excitation," Progress In Electromagnetics Research, Vol. 78, 377-392, 2008.
doi:10.2528/PIER07091302        Google Scholar

17. Mukerji, S. K., M. George, M. B. Ramamurthy, and K. Asaduzzaman, "Eddy currents in laminated rectangular cores," a companion paper.        Google Scholar

18. Jolley, L. B. W., Summation of Series, 2nd revised Ed., 240, Dover Publications, Inc., 1961.

19. Philip, M. M. and H. Fishbach, Methods of Theoretical Physics, 413-414, McGraw-Hill Book Company, Inc. and Ko Gakusha Company, Ltd., 1953.

20. Chen, H., B. I. Wu, and J. A. Kong, "Review of electromagnetic waves in left-handed materials," Journal of Electromagnetics Waves and Applications, Vol. 20, No. 15, 2137-2151, 2006.
doi:10.1163/156939306779322585        Google Scholar

21. Grzegorczyk, T. M. and J. A. Kong, "Review of left-handed materials: Evolution from theoretical and numerical studies to potential applications," Journal of Electromagnetics Waves and Applications, Vol. 20, No. 14, 2053-2064, 2006.
doi:10.1163/156939306779322620        Google Scholar

22. Mahmoud, S. F. and A. J. Viitanen, "Surface wave character on a slab of metamaterial with negative permittivity and permeability," Progress In Electromagnetics Research, Vol. 51, 127-137, 2005.
doi:10.2528/PIER03102102        Google Scholar