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A one-dimensional mathematical model of piezoelectric transformers for cad system

НазваA one-dimensional mathematical model of piezoelectric transformers for cad system
Назва англійськоюA one-dimensional mathematical model of piezoelectric transformers for cad system
АвториVolodymyr Medvid; Iryna Belyakova; Olena Maruschak; Vadim Piscio
ПринадлежністьTernopil Ivan Puluj National Technical University, Ternopil, Ukraine
Бібліографічний описA one-dimensional mathematical model of piezoelectric transformers for cad system / Volodymyr Medvid; Iryna Belyakova; Olena Maruschak; Vadim Piscio // Scientific Journal of TNTU. — Tern.: TNTU, 2022. — Vol 108. — No 4. — P. 102–116.
Bibliographic description:Medvid V.; Belyakova I.; Maruschak O.; Piscio V. (2022) A one-dimensional mathematical model of piezoelectric transformers for cad system. Scientific Journal of TNTU (Tern.), vol 108, no 4, pp. 102–116.
УДК

681.586

Ключові слова

Equivalent circuit, piezoelectric transformer, a piezoelectric element, frequency harmonics, MicroCAP.

The model of a piezoelectric transformer (PT), which is more convenient for modeling in comparison with those, which are widely used in practice, is presented in this paper. Moreover, the proposed model can be directly applied in developing radio-electronic equipment and integrated into computer-aided design systems (CAD). The given model of piezoelectric transformer considers not only one but several harmonics and is simple for interactive change of parameters in the modeling process, as well as takes into account and changes the parameters of piezoelectric devices without leaving the basic CAD of radio-electronic equipment. The implementation of this model in the MicroCAP computer-aided design system is shown in the example. The results obtained during modeling are compared with experimental data.

ISSN:2522-4433
Перелік літератури
  1. Katz H. W. Solid state magnetic and dielectric devices. New York: Wiley, 1959. 542 p.
  2. Lavrinenko V. V., P`ezoe`lektricheskie transformatory`. M.: E`nergiya, 1975. 112 р.
  3. Yang Y. J., Chen C. C., Chen Y. M., et al., Modeling of piezoelectric transformers using finite-element technique. Journal of the Chinese Institute of Engineers. 2008. 31 (6). Р. 925–932.
  4. Yerofeev A.A., Danov G.A., Frolov V.N. Piezoelectric transformers and their application in electronics, Мoscow: Radio i Sviaz (Radio and Communications), 1988, 128p.
  5. Harris J. W., Horst S. Handbook of mathematics and computational science. Springer Science & Business Media, 1998.
  6. Yerofeev A. A., Piezoelectronic automation devices. Leningrad: Mashinostroenie, 1982. 212 p.
  7. Vazquez Carazo, A. Piezoelectric Transformers: An Historical Review. Actuators 2016, 5, 12. Doi: 10.3390/act5020012.
  8. Ozeri S. and Shmilovitz D. Piezoelectric transformers model parameters extraction based on time domain measurements, Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC '06., 2006. P. 5. Doi: 10.1109/APEC.2006.1620748.
  9. Bronshtein S., Abramovitz A., Bronshtein A. and Katz I. A Method for Parameter Extraction of Piezoelectric Transformers. IEEE Transactions on Power Electronics. 2011. 26 (11). Р. 3395–3401. Doi: 10.1109/TPEL.2011.2139225.
  10. Hsu Y., Lee C., Hsiao W. Optimizing piezoelectric transformer for maximum power transfer. Smart Material and Structures, 2003. Р. 373–383.
  11. Kakehashi H., Hidaka T., Ninomiya T., Shoyama M., Ogasawara H., Ohta Y. Electronic ballast using piezoelectric transformers for fluorescent lamps, in Proc. IEEE APEC, 1998. Р. 29–35.
  12. Yang J. Piezoelectric transformer structural modeling – a review, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 2007. 54 (6). Р. 1154–1170. Doi: 10.1109/TUFFC.2007.369.
  13. Hemsel T., Priya S. Model based analysis of piezoelectric transformers, Ultrasonics, 2006, 44, Supplement, e741-e745. Doi: 10.1016/j.ultras.2006.05.086.
  14. Pulpan P., Erhart J. & Štípek O. Analytical Modeling of Piezoelectric Transformers, Ferroelectrics, 2007, 351 (1). Р. 204–215. Doi: 10.1080/00150190701354299.
  15. Ivensky G.; Zafrany I. and Ben-Yaakov S. General operation characteristics of piezoelectric transformers, IEEE Trans. Power Electron. 2002. 17 (6). Р. 1049–1057.
  16. Bolborici V., Dawson F. P., Pugh M. C. Modeling of composite piezoelectric structures with the finite volume method, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 2012. 59 (1). Р. 156–162.
References:
  1. Katz H. W. Solid state magnetic and dielectric devices. New York: Wiley, 1959. 542 p.
  2. Lavrinenko V. V., P`ezoe`lektricheskie transformatory`. M.: E`nergiya, 1975. 112 р.
  3. Yang Y. J., Chen C. C., Chen Y. M., et al., Modeling of piezoelectric transformers using finite-element technique. Journal of the Chinese Institute of Engineers. 2008. 31 (6). Р. 925–932.
  4. Yerofeev A.A., Danov G.A., Frolov V.N. Piezoelectric transformers and their application in electronics, Мoscow: Radio i Sviaz (Radio and Communications), 1988, 128p.
  5. Harris J. W., Horst S. Handbook of mathematics and computational science. Springer Science & Business Media, 1998.
  6. Yerofeev A. A., Piezoelectronic automation devices. Leningrad: Mashinostroenie, 1982. 212 p.
  7. Vazquez Carazo, A. Piezoelectric Transformers: An Historical Review. Actuators 2016, 5, 12. Doi: 10.3390/act5020012.
  8. Ozeri S. and Shmilovitz D. Piezoelectric transformers model parameters extraction based on time domain measurements, Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC '06., 2006. P. 5. Doi: 10.1109/APEC.2006.1620748.
  9. Bronshtein S., Abramovitz A., Bronshtein A. and Katz I. A Method for Parameter Extraction of Piezoelectric Transformers. IEEE Transactions on Power Electronics. 2011. 26 (11). Р. 3395–3401. Doi: 10.1109/TPEL.2011.2139225.
  10. Hsu Y., Lee C., Hsiao W. Optimizing piezoelectric transformer for maximum power transfer. Smart Material and Structures, 2003. Р. 373–383.
  11. Kakehashi H., Hidaka T., Ninomiya T., Shoyama M., Ogasawara H., Ohta Y. Electronic ballast using piezoelectric transformers for fluorescent lamps, in Proc. IEEE APEC, 1998. Р. 29–35.
  12. Yang J. Piezoelectric transformer structural modeling – a review, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 2007. 54 (6). Р. 1154–1170. Doi: 10.1109/TUFFC.2007.369.
  13. Hemsel T., Priya S. Model based analysis of piezoelectric transformers, Ultrasonics, 2006, 44, Supplement, e741-e745. Doi: 10.1016/j.ultras.2006.05.086.
  14. Pulpan P., Erhart J. & Štípek O. Analytical Modeling of Piezoelectric Transformers, Ferroelectrics, 2007, 351 (1). Р. 204–215. Doi: 10.1080/00150190701354299.
  15. Ivensky G.; Zafrany I. and Ben-Yaakov S. General operation characteristics of piezoelectric transformers, IEEE Trans. Power Electron. 2002. 17 (6). Р. 1049–1057.
  16. Bolborici V., Dawson F. P., Pugh M. C. Modeling of composite piezoelectric structures with the finite volume method, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 2012. 59 (1). Р. 156–162.
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