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Optimization of Piezoelectric Transformers Using Genetic Algorithm

Published online by Cambridge University Press:  05 May 2011

Y.-J. Yang ,
C.-Y. Kang  and
C.-K. Lee
Y.-J. Yang*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-Y. Kang*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-K. Lee*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Associate Professor
**Graduate student
***Professor
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Abstract

In this paper, we present the optimization works of two disk-type piezoelectric transformers (PTs), the single-output PT and the dual-output PT, by using the elite Genetic Algorithm (GA) and the finite-element solver, NTUPZE. The goal of optimization is to maximize the efficiency under the constraint that the voltage gain is greater than 50 for igniting CCFL. The design parameters are the radii of the outputelectrode sections and the electrode areas, as well as the dimensions of the device structure. With different electrical loading impedances, the voltage gain and the efficiency were computed using the NTUPZE. The results were also validated with measured data. The optimization process is parallelized by the MPI library and a PC cluster for improving the computation efficiency. The characteristics of the optimal designs with different loads are also calculated. The optimized voltage gain and the efficiency for the PT with single output electrode are about 53 and 91.9%, respectively. Also, the voltage gains and the efficiency of PT with dual output electrodes are above 57 and 91%, respectively.

Keywords

Genetic algorithm (GA)Piezoelectric transformerFinite element method (FEM)Multiobject optimizationParallel computations.
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 2 , June 2008 , pp. 119 - 125
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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References

1.Rosen, C. A., Solid State Magnetic and Dielectric Devices, John Wiley and Sons, 1st Ed., Chap. 5, New York, p. 170(1959).Google Scholar
2.Yang, Y.-J., Chen, C.-C. and Lee, C.-K., “Thermo-Piezoelectric Finite-Element Modeling for Piezoelectric Transformers,” Jpn. J. Appl. Phys., (in press) (2008).CrossRefGoogle Scholar
3.Joo, H.-W., Lee, C.-H., Rho, J.-S. and Jung, H.-K., “Identification of Material Constants for Piezoelectric Transformers by Three-Dimensional, Finite-Element Method and a Design-Sensitivity Method,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 50, pp. 965–971 (2003).CrossRefGoogle Scholar
4.Sanchez, A. M., Sanz, M., Prieto, R., Oliver, J. A. and Cobos, J. A., “Mixed Analytical and Numerical Design Method for Piezoelectric Transformers,” Proc. of IEEE 34th Annual Power Electronics Specialist Conference, pp. 841–846 (2003).Google Scholar
5.Joo, H. W., Lee, C. H. and Jung, H. K., “Analysis of Piezoelectric Transformer by Using Finite Element and Equivalent-Circuit Considering Load Variation,” Proc. of IEEE Ultrasonics Symposium, pp. 459–462 (2001).Google Scholar
6.Tarn, J. Q. and Chang, H. H., “Effective Lengths of Tensile and Torsional Specimens of Piezoelectric Materials,” Journal of Mechanics, 22, pp. 27–34 (2006).Google Scholar
7.Wu, C. Y., Chang, J. S. and Wu, K. C., “Analysis of Wave Propagation in Infinite Piezoelectric Plates,” Journal of Mechanics, 21, pp. 103–108 (2005).CrossRefGoogle Scholar
8.Weisman, J., Introduction to Optimization Theory, Prentice-Hall, New York (1973).Google Scholar
9.Baker, E. M., Huang, W. and Chen, D. Y., “Radial Mode Piezoelectric Transformer Design for Fluorescent Lamp Ballast Applications,” IEEE Transactions on Power Electronics, 20, pp. 1213–1220 (2005).CrossRefGoogle Scholar
10.Flynn, A. M. and Sanders, S. R., “Fundamental Limits on Energy Transfer and Circuit Considerations for Piezoelectric Transformers,” IEEE Transactions on Power Electronics, 17, pp. 8–14 (2001).CrossRefGoogle Scholar
11.Karlash, V. L., “Influence of the Geometry of a Piezoelectric Transducer on Its Electric Potential during Electroelastic Vibrations of a Piezoceramic Disk,” International Applied Mechanics, 41, pp. 174–178 (2005).Google Scholar
12.Ivensky, G., Bronstein, S. and Yaakov, S. B., “Analysis and Design of a Piezoelectric Transformer AC/DC Converter in a Low Voltage Application,” Proc. of IEEE Power Electronics Specialists Conference, pp. 409–414 (2002).Google Scholar
13.Seo, J. M., Joo, H. W. and Jung, H. K., “Optimal Design of Piezoelectric Transformer for High Efficiency and High Power Density,” Sensors and Actuators A, 121, pp. 520–526 (2005).CrossRefGoogle Scholar
14.Koc, B., Gao, Y. and Uchino, K., “Design of a Circular Piezoelectric Transformer with Crescent-Shaped Input Electrodes,” Jpn. J. Appl. Phys., 42, pp. 509–514(2003).CrossRefGoogle Scholar
15.Qiu, Y. and Liu, Y., “Notes on the Convergence of Genetic Algorithms,” Proc. of 3rd World Congress on Intelligent Control and Automation, pp. 508–511 (2000).Google Scholar
16.Quinn, M. J., Parallel Programming in C with MPI and OpenMP, McGraw-Hill (2003).Google Scholar
17.Goldberg, D. E., Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley (1989).Google Scholar
18. Private conservation with Dr. Hsieh, Chih-Wen, General Manager, Elecream Technology Co. Ltd. (http://www.eleceram.com.tw) (2006).Google Scholar