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Mixing of FEM and Analytical Modeling: Preliminary Design of a Transformer

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Optimization and Inverse Problems in Electromagnetism

Abstract

We are interested in this paper in methodologies of preliminary design. We applied our study on the optimization of a three-phase transformer. Preliminary design requires low time cost. Although analytical models answer this issue, they brought some loss of quality, as they are subject to many hypotheses. Analytical model can be mixed with numerical ones to improve the modeling quality. The originality of this paper is that we used different modeling methods and software to perform a better design. In this paper, we compared transformer optimizations with 5 different specifications sheets, using two models. On the one hand, a pure analytical model was used, with an automatic symbolic differentiation. On the other hand, we have introduced a FEM evaluation of the leakage reactance in the analytical model. This second model has been implemented using software links and numerical differentiation, which are also discussed.

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References

  1. M. Poloujadoff, R.D. Findlay, “A Procedure for illustrating the Effect of Variation of Parameters on Optimal Transformer Design”, IEEE Transactions on Power Systems; Vol. PWRS-1, No. 4, November 1986

    Google Scholar 

  2. F. Wurtz, J. Bigeon, C. Poirson, “A Methodology and a Tool for the Computer Aided Design with Constraints of Electrical Machines”, IEEE Trans. on Magnetics, vol. 32, no. 3, May 1996, pp. 1429 - 1432

    Article  Google Scholar 

  3. E. Atienza, J. Bigeon, F. Wurtz, V. Leconte, “EDEN: A generic integrated component software for constraint optimisation”, COMPUMAG’01, 13th Conference on the Computation of Electromagnetic Fields, July 2-5, 2001, Evian, France, pp.232-233

    Google Scholar 

  4. E. Ratajewicz-Mikolajczak, J. Sikora, J. Starzynski “Comparison of optimal shape design algorithms”, Published in Journal of Technical Physics, 41, pp. 311 - 320, 2000

    Google Scholar 

  5. B. Delinchant, F. Wurtz, J. Bigeon “Automating tool integration to preliminary design request”, CEFC02, 10th Biennial IEEE Conference on Electromagnetic Field Computation, Perugia, Italy, June 16 - 19 2002

    Google Scholar 

  6. Sobieszczanski-Sobieski, J., “Sensitivity of Complex, Internally Coupled Systems,” AIAA Journal, Vol. 28, No. 1, January 1990, pp. 153 - 160

    Article  Google Scholar 

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© 2003 Springer Science+Business Media Dordrecht

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Delinchant, B., Wurtz, F., Fandino, J. (2003). Mixing of FEM and Analytical Modeling: Preliminary Design of a Transformer. In: Rudnicki, M., Wiak, S. (eds) Optimization and Inverse Problems in Electromagnetism. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2494-4_24

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  • DOI: https://doi.org/10.1007/978-94-017-2494-4_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6375-5

  • Online ISBN: 978-94-017-2494-4

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