volume | PIER Journals

Abstract

This paper presents an analysis about the results of experiments using planar coils inner ring coils to determine a transformer. The excitation of this system was a square wave voltage, where experiments were realized in two ways: considering planar coil as primary and observing responses on secondary being ring coil (direct system) and the inverse (ring coil as primary and planar coil as secondary-inverted system). In this study, a phenomenon not common in literature on system response is analyzed, showing effects of changes on transfer function in both cases when varying turn numbers of each coil and several variations on responses due to changes on resistances, parasitic capacitances, self and mutual inductances of the coils. The uncommon phenomenon appears as modulated response on specific turn ratio. The obtained results can be used to researches in areas as power electronics and pulse transformers.

1. 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, 2006.
doi:10.1109/TMAG.2006.880093

2. 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, 2006.
doi:10.1109/TMAG.2006.871383

3. 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, 2006.
doi:10.1109/TMAG.2009.2018624

4. 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, 1999.
doi:10.1109/15.784162

5. 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, 1989.
doi:10.1109/TJMJ.1989.4564431

6. 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, 1998.
doi:10.1109/20.706554

7. 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

8. 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, 2006.
doi:10.1109/TEC.2006.877366

9. 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, 1931, 1989.

10. Bortis, D., S. Wa²er, 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, 2008.
doi:10.1109/TPS.2008.2003532

11. 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, 2007.
doi:10.1109/TPWRS.2006.883678

12. Ying, P. and R. Jiangjun, "Investigation of very fast transient overvoltage distribution in taper winding of tesla transformer," IEEE Transactions on Magnetics, Vol. 42, No. 3, 434-441, 2006.
doi:10.1109/TMAG.2005.862759

13. 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, 2007.
doi:10.1109/TMAG.2006.888744

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

15. 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, 2007.
doi:10.1109/TMAG.2006.888744

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

17. Luthjens, L. H., M. L. Hom, and M. J. W. Vermeulen, "Subnanosecond pulsing of a 3-MV van de graaff electron accelerator by means of a passive coaxial pulse shaper," Rev. Sci. Instrum., Vol. 49, No. 2, 230-235, 1978.
doi:10.1063/1.1135373

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

19. 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, 2008.
doi:10.1109/TMAG.2008.917128

20. 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, 1997.
doi:10.1109/20.573844

21. 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, 1999.
doi:10.1109/20.800711

22. 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, 2009.
doi:10.1109/TPEL.2008.2009757

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

24. Kaware, K., H. Kotama, and K. Shirae, "Planar inductor," IEEE Transactions on Magnetics, Vol. MAG-20, No. 5, 1884-1906, 1984.

25. Anioin, B. A., et al. "Circuit properties of coils," IEE Proc. - Sci. Mes. Technol., Vol. 144, No. 5, 234-239, 1997.
doi:10.1049/ip-smt:19971316

26. 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, 1992.
doi:10.1109/TJMJ.1992.4565426

27. 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, 1993.
doi:10.1109/TJMJ.1993.4565599

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

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

30. 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

31. 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

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

33. Besieris, I., M. Abdel-Rahman, A. Shaarawi, and A. Chatzipetros, "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

34. 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, 1997.
doi:10.1109/20.617949

35. 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, 2005.
doi:10.1109/TUFFC.2005.1563281

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

37. Grandi, G., et al. "Stray capacitances of single-layer solenoid air-core inductors," IEEE Transactions on Industry Applications, Vol. 35, No. 5, 1162-1168, 1999.
doi:10.1109/28.793378

38. Hole, M. J. and L. C. Appel, "Stray capacitance of a two-layer air-cored inductor," IEE Proc. - Circuits Devices Syst., Vol. 152, No. 6, 565-572, 2005.
doi:10.1049/ip-cds:20045217

39. Marin, D., et al. "Modelling parasitic capacitances of the isolation transformer," In. Simpozionul National de Eletrotehnica Teoretica, 2004.

40. 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, 2006.
doi:10.1109/TMAG.2006.872626

41. 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, 2008.
doi:10.1109/TMAG.2008.920251

42. 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, 2000.
doi:10.1109/TMAG.2000.875240

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

Dr. Eduard Montgomery Meira Costa