Theoretical Analysis of Piezoelectric Transformers in Different Configurations

  • Paweł ŁabędzkiEmail author
  • Rafał Pawlikowski
  • Andrzej Radowicz
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 934)


Piezoelectric transformer (PT) is an electromechanical transducer that employs the piezoelectric effect. The behavior of PTs is generally analyzed by solving piezoelectric equations or using equivalent electrical circuits. In this study, an implicit Lagrangian method was applied to predict the behavior of different types of PTs from the natural frequency of vibration and some geometric parameters. The calculation results secured good agreement with the data found in the literature on the subject.


Piezoelectric ceramic resonator Rosen–type transformer Lagrange equations 


  1. 1.
    Rosen, C.A., Fish, K.A., Rothenberg, H.C.: U.S. Patent No 2,830,374, April 1954Google Scholar
  2. 2.
    Rosen, C.A.: Ceramic transformers and filters. In: Proceedings of the Electronic Component Symposium, pp. 205–211 (1956)Google Scholar
  3. 3.
    Auld, B.A.: Acoustic Fields and Waves in Solids. R. E. Krieger Publishing Company, Malabar (1990)Google Scholar
  4. 4.
    Arnau, A., et al.: Piezoelectric Transducers and Applications. Springer, Heidelberg (2008)Google Scholar
  5. 5.
    Erhart, J., Pulpan, P., Pustka, M.: Piezoelectric Ceramic Resonators: Topics in Maning. Metallurgy and Materials Engineering. Springer, Heidelberg (2017)CrossRefGoogle Scholar
  6. 6.
    Lin, R.-L.: Piezoelectric transformer characterization and application of electronic ballast, Ph.D. Dissertation, Virginia Polytechnic Institute and State University (2001)Google Scholar
  7. 7.
    IEEE Standard on Piezoelectricity. American National Standards Institute (1987)Google Scholar
  8. 8.
    Preumont, A.: Mechatronics: Dynamics of Electromechanical and Piezoelectric Systems, vol. 136. Springer Science & Business Media, Dordrecht (2006)zbMATHGoogle Scholar
  9. 9.
    Radowicz, A.: Fale powierzchniowe, Monograph. Kielce University of Technology, Kielce (1994). (in Polish)Google Scholar
  10. 10.
    Awrejcewicz, J., Koruba, Z.: Classical Mechanics: Applied Mechanics and Mechatronics. Springer Science + Business Media, New York (2012). LCCzbMATHGoogle Scholar
  11. 11.
    Labedzki, P., Pawlikowski, R., Radowicz, A.: Analiza teoretyczno-symulacyjna transformatora piezoelektrycznego (Theoretical and simulation-based analysis of a piezoelectric transformer), Mechanik (2016). (in Polish)Google Scholar
  12. 12.
    Mezheritsky, A.V.: Elastic, dielectric, and piezoelectric losses in piezoceramics: how it works all together. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 51(6), 695–707 (2004)Google Scholar
  13. 13.
    Rajapurkar, A.M.: Loss mechanisms in piezoelectric PZT ceramics and single crystals. The Pennsylvania State University (2008)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Paweł Łabędzki
    • 1
    Email author
  • Rafał Pawlikowski
    • 2
  • Andrzej Radowicz
    • 2
  1. 1.Faculty of Management and Computer ModellingKielce University of TechnologyKielcePoland
  2. 2.Faculty of Mechatronics and Mechanical EngineeringKielce University of TechnologyKielcePoland

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