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2009-12-13
Planar Transformers Excited by Square Waves
By
Progress In Electromagnetics Research, Vol. 100, 55-68, 2010
Abstract
This paper presents an analysis of found results in experiments developed with transformers built with planar coils, when they are excited by square waves, in comparison with transformers built with planar coils inner ring coils. The transformer was built joining two planar coils one over the other. In this kind of transformer, similar responses as analysis of transformers built with planar coil inner ring coil are found, as well the results of resonance. Because the low self-inductances and parasitic capacitances obtained in these configurations, although the coils resistance is low, which generates low exponential drops on responses. The resonance is found in higher frequencies, but satisfying conditions of sum of responses in resonance.
Citation
Eduard Montgomery Meira Costa, "Planar Transformers Excited by Square Waves," Progress In Electromagnetics Research, Vol. 100, 55-68, 2010.
doi:10.2528/PIER09110103
References

1. Yagashi, A., "Highly improved performance of a noise isolation transformer by a thin-film short circuit ring," IEEE Transactions on Electromagnetic Compatibility, Vol. 41, No. 3, 246-250.
doi:10.1109/15.784162

2. Rissing, L. H., S. A. Zielke, and H. H. Gatzen, "Inductive microtransformer exploiting the magnetoelastic effect," IEEE Transactions on Magnetics, Vol. 34, No. 4, 1378-1380, July 1998.
doi:10.1109/20.706554

3. Castaldi, G., V. Fiumara, and I. Gallina, "An exact synthesis method for dual-band chebyshev impedance transformers," Progress In Electromagnetics Research, Vol. 86, 305-319, 2008.
doi:10.2528/PIER08100605

4. Lu, J. and F. Dawson, "Analysis of eddy current distribution in high frequency coaxial transformer with faraday shield," IEEE Transactions on Magnetics, Vol. 42, No. 1, 3186-3188, October 2006.
doi:10.1109/TMAG.2006.880093

5. Stadler, A. and M. Albach, "The influence of the winding layout on the core losses and the leakage inductance in high frequency transformers," IEEE Transactions on Magnetics, Vol. 42, No. 4, 735-738, April 2006.
doi:10.1109/TMAG.2006.871383

6. Dimitrakakis, G. R. and E. C. Tatakis, "High-frequency copper losses in magnetic components with layered windings," IEEE Transactions on Magnetics, Vol. 45, No. 8, 3187-3199, August 2006.
doi:10.1109/TMAG.2009.2018624

7. Asdler, M. S., "A field-theoretical approach to magnetic induction of thin circular plates," IEEE Transactions on Magnetics, Vol. 10, No. 4, 1118-1125, December 1974.
doi:10.1109/TMAG.1974.1058526

8. Conway, J. T., "Noncoaxial inductance calculations without the vector potential for axissymmetric coils and planar coils," IEEE Transactions on Magnetics, Vol. 44, No. 4, 453-462, April 2008.
doi:10.1109/TMAG.2008.917128

9. Hurley, W. G. and M. C. Duffy, "Calculation of self- and mutual impedances in planar sandwich inductors," IEEE Transactions on Magnetics, Vol. 33, No. 3, 2282-2290, May 1997.
doi:10.1109/20.573844

10. Ebine, N. and K. Ara, "Magnetic measurement to evaluate material properties of ferromagnetic structural steels with planar coils," IEEE Transactions on Magnetics, Vol. 35, No. 5, 3928-3930, September 1999.
doi:10.1109/20.800711

11. Su, Y. P., X. Liu, and S. Y. R. Hui, "Mutual inductance calculation of movable planar coils on parallel surfaces," IEEE Transactions on Power Electronics, Vol. 24, No. 4, 1115-1124, April 2009.
doi:10.1109/TPEL.2008.2009757

12. Oshiro, O., H. Tsujimoto, and K. Shirae, "A novel miniature planar inductor," IEEE Transactions on Magnetics, Vol. 23, No. 5, 3759-3761, September 1987.
doi:10.1109/TMAG.1987.1065746

13. Kaware, K., H. Kotama, and K. Shirae, "Planar inductor," IEEE Transactions on Magnetics, Vol. 20, No. 5, 1806-1984, September 1984.

14. Anioin, B. A., et al. "Circuit properties of coils," IEE Proc.-Sci. Mes. Technol., Vol. 144, No. 5, 234-239, September 1997.

15. Matsuki, H., N. Fujii, K. Shirakawa, J. Toriu, and K. Murakami, "Planar coil inductor with closed magnetic circuit," IEEE Translation Journal on Magnetics in Japan, Vol. 7, No. 6, 474-478, June 1992.
doi:10.1109/TJMJ.1992.4565426

16. Matsuki, H., N. Fujii, K. Shirakawa, J. Toriu, and K. Murakami, "Arrangement of thin film cores for planar coil inductor," IEEE Translation Journal on Magnetics in Japan, Vol. 8, No. 3, 177-181, March 1993.
doi:10.1109/TJMJ.1993.4565599

17. Dudek, C., et al. "A new type of highly compact planar inductor," IEEE Transactions on Magnetics, Vol. 43, No. 6, 2621-2623, June 2007.
doi:10.1109/TMAG.2007.893711

18. Kim, Y., F. Yang, and A. Z. Elsherbeni, "Compact artificial magnetic conductor desings using planar square spiral geometries," Progress In Electromagnetics Research, Vol. 77, 43-54, 2007.
doi:10.2528/PIER07072302

19. Costa, E. M. M., "A basic analysis about induced EMF of planar coils to ring coils," Progress In Electromagnetics Research B, Vol. 17, 85-100, 2009.
doi:10.2528/PIERB09071202

20. Costa, E. M. M., "Responses in transformers built with planar coils inner ring coils excited by square waves," Progress In Electromagnetics Research B, Vol. 18, 43-58, 2009.
doi:10.2528/PIERB09082003

21. Costa, E. M. M., "Resonance between planar coils vs ring coils excited by square waves," Progress In Electromagnetics Research B, Vol. 18, 59-81, 2009.
doi:10.2528/PIERB09081911

22. Bortis, D., S. Waffler, J. Biela, and J. W. Kolar, "25-kW three-phase unity power factor buckboost rectifier with wide input and output range for pulse load applications," IEEE Transactions on Plasma Sciences, Vol. 36, No. 5, 2747-2752, October 2008.
doi:10.1109/TPS.2008.2003532

23. Peng, Y. and J. Ruan, "Investigation of very fast transient overvoltage distribution in taper winding of tesla transformer," IEEE Transactions on Magnetics, Vol. 42, No. 3, 434-441, March 2006.
doi:10.1109/TMAG.2005.862759

24. Redondo, L. M., J. F. Silva, and E. Margato, "Pulse shape improvement in core-type high-voltage pulse transformers with auxiliary windings," IEEE Transactions on Magnetics, Vol. 43, No. 5, 1973-1982, May 2007.
doi:10.1109/TMAG.2006.888744

25. Lord, H. W., "Pulse transformers," IEEE Transactions on Magnetics, Vol. 7, No. 1, 17-28, March 1971.
doi:10.1109/TMAG.1971.1066994

26. Redondo, L. M., J. F. Silva, and E. Margato, "Pulse shape improvement in core-type high-voltage pulse transformers with auxiliary windings," IEEE Transactions on Magnetics, Vol. 43, No. 5, 1973-1982, May 2007.
doi:10.1109/TMAG.2006.888744

27. Brown, D. and D. Martin, "Subnanosecond high-voltage pulse generator," Rev. Sci. Instrum., Vol. 58, No. 8, 1523-1529, August 1987.
doi:10.1063/1.1139392

28. Costa, E. M. M., "Resonance on transformers excited by square waves and explanation of the high voltage on tesla transformer," Progress In Electromagnetics Research B, Vol. 18, 205-224, 2009.
doi:10.2528/PIERB09090305

29. Cheng, K. W. E., et al. "Examination of square-wave modulated voltage dip restorer and its harmonics analysis," IEEE Transactions on Energy Conversion, Vol. 21, No. 3, 759-766, September 2006.
doi:10.1109/TEC.2006.877366

30. Evans, P. D. and M. R. D. Al-Mothafar, "Harmonic analysis of a high frequency square wave cycloconvertor system," IEE Proceedings, Vol. 136, No. 1, 19-31, Pr. B, January 1989.

31. Huang, Z., Y. Cui, and W. Xu, "Application of modal sensitivity for power system harmonic resonance analysis," IEEE Transactions on Power Systems, Vol. 22, No. 1, 222-231, February 2007.
doi:10.1109/TPWRS.2006.883678

32. Oshiro, O., H. Tsujimoto, and K. Shirae, "Structures and characteristics of planar transformers," IEEE Translation Journal on Magnetics in Japan, Vol. 4, No. 5, 332-338, May 1989.
doi:10.1109/TJMJ.1989.4564431

33. Bailey, R. C., "The electrical response of an insulating circular disk to uniform fields," Progress In Electromegnetics Research, Vol. 88, 241-254, 2008.
doi:10.2528/PIER08110604

34. Hussain, M. G. M. and S. F. Mahmoud, "Energy patterns for a conducting circular disc buried in a homogeneous lossy medium and excited by ultra-wideband generalized gaussian pulses," Progress In Electromagnetics Research, Vol. 43, 59-74, 2003.
doi:10.2528/PIER02120201

35. Zhang, X., Y. Shi, and D. Xu, "Novel blind joint direction of arrival and polarization estimation for polarization-sensitive uniform circular array," Progress In Electromagnetics Research, Vol. 86, 19-37, 2008.
doi:10.2528/PIER08082302

36. Besieris, I. and M. Abdel-Rahman, "Two fundamental representations of localized pulse solution to the scalar wave equation," Progress In Electromagnetics Research, Vol. 19, 1-48, 1998.
doi:10.2528/PIER97072900

37. Yamada, S., et al. "Investigation of printed wiring board testing by using planar coil type ECT probe," IEEE Transactions on Magnetics, Vol. 33, No. 5, 3376-3378, September 1997.
doi:10.1109/20.617949

38. Wilcox, P. D., M. J. S. Lowe, and P. Cawley, "The excitation and detection of lamb waves with planar coil electromagnetic acoustic transducers," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 52, No. 12, 2370-2383, December 2005.
doi:10.1109/TUFFC.2005.1563281

39. Babic, S. I. and C. Akyel, "Calculating mutual inductance between circular coils with inclined axes in air," IEEE Transactions on Magnetics, Vol. 44, No. 7, 1743-1750, July 2008.
doi:10.1109/TMAG.2008.920251

40. Babic, S. I. and C. Akyel, "Improvement in calculation of the self- and mutual inductance of thin-wall solenoids and disk coils," IEEE Transactions on Magnetics, Vol. 36, No. 4, 1970-1975, July 2000.
doi:10.1109/TMAG.2000.875240

41. Babic, S. I., S. Kincic, and C. Akyel, "New and fast procedures for calculating the mutual inductance of coaxial circular coils (circular coil/disk coil)," IEEE Transactions on Magnetics, Vol. 38, No. 5, 2367-2369, September 2002.
doi:10.1109/TMAG.2002.803576

42. Costa, E. M. M., "Parasitic capacitances on planar coils," Journal of Electromagnetic Waves and Applications, Vol. 23, 2339-2350, 2009.

43. Babic, S. I. and C. Akyel, "New analytic-numerical solutions for the mutual inductance of two coaxial circular coils with rectangular cross section in air," IEEE Transactions on Magnetics, Vol. 42, No. 6, 1661-1669, June 2006.
doi:10.1109/TMAG.2006.872626

44. Denicolai, M., Tesla transformer for experimentation and research, Licentiate Thesis, Helsink University of Technology, May 2001.