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Electrical, Control and Communication Engineering

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Design Optimization with Geometric Programming for Core Type Large Power Transformers

Tamás Orosz / István Vajda
Published Online: 2014-10-23 | DOI: https://doi.org/10.2478/ecce-2014-0012


A good transformer design satisfies certain functions and requirements. We can satisfy these requirements by various designs. The aim of the manufacturers is to find the most economic choice within the limitations imposed by the constraint functions, which are the combination of the design parameters resulting in the lowest cost unit. One of the earliest application of the Geometric Programming [GP] is the optimization of power transformers. The GP formalism has two main advantages. First the formalism guarantees that the obtained solution is the global minimum. Second the new solution methods can solve even large-scale GPs extremely efficiently and reliably. The design optimization program seeks a minimum capitalized cost solution by optimally setting the transformer's geometrical and electrical parameters. The transformer's capitalized cost chosen for object function, because it takes into consideration the manufacturing and the operational costs. This paper considers the optimization for three winding, three phase, core-form power transformers. This paper presents the implemented transformer cost optimization model and the optimization results.

Keywords: Design Optimization; Heuristic Algorithms; Mathematical programming; Power Engineering Computing; Power transformers


  • [1] G. Újházy, “Design of winding systems of power transformers”, Elekrotechnika, pp. 450–459, November-December 1969.Google Scholar

  • [2] R.M. Del Vecchio, B. Poulin, P.T. Feghali, D.M. Shah, R. Ahuja, „Transformer Design Principles – With Applications to Core-Form Power Transformers”, Crc Press, 2002.Google Scholar

  • [3] G. Újházy, “A transzformátortervezés gépi programozásának kérdései”, Elekrotechnika, pp. 355–363, September 1969. Academic, 2003.Google Scholar

  • [4] O.W. Andersen, „Optimized Design of Electric Power Equipment”, IEEE Computer Applications in Power, Vol. 4, January 1991. http://dx.doi.org/10.1109/67.65030CrossrefGoogle Scholar

  • [5] R.A. Jabr, „Application of Geometric Programming to Transformer Design”, IEEE Transactions on Magnetics, 2005 November. http://dx.doi.org/10.1109/TMAG.2005.856921CrossrefGoogle Scholar

  • [6] P.S. Georgialakis, „Spotlight On Modern Transformer Design”, Springer, 2009. http://dx.doi.org/10.1007/978-1-84882-667-0CrossrefGoogle Scholar

  • [7] M.A. Masood, R.A. Jabbar, M.A.S. Masoum, M. Junaid, és M. Ammar, „An innovative technique for design optimization of core type 3-phase distribution transformer using mathematica”, Global J. Technology & Optimization (GJTO), vol 3, 2012.Google Scholar

  • [8] E.I. Amoiralis, P.S. Georgilakis, M.A. Tsili, A.G. Kladas, és A.T. Souflaris, „Complete Software Package for Transformer Design Optimization and Economic Evaluation Analysis”, Materials Science Forum, vol 670, o 535–546, Dec. 2010.Google Scholar

  • [9] R.J. Duffin, E.L. Peterson, C. Zener, “Geometric Programming”, Wiley, NY, 1967.Google Scholar

  • [10] S. Boyd, S.-J. Kim, L. Vandenberghe, és A. Hassibi, „A tutorial on geometric programming”, Optimization and Engineering, vol 8, sz 1, o 67–127, ápr 2007.Google Scholar

  • [11] S.P. Boyd és L. Vandenberghe, Convex optimization. Cambridge, UK; New York: Cambridge University Press, 2004.Google Scholar

  • [12] M. Anderson, L. Vandenberghe, “CVXOPT-Python Software for Convex Optimization”. http://cvxopt.org, 2012-2013.Google Scholar

  • [13] P.S. Georgilakis, „Environmental cost of distribution transformer losses”, Applied Energy, vol 88, sz 9, o 3146–3155, szept 2011.Web of ScienceGoogle Scholar

  • [14] S. Corhodzic and A. Kalam, „Assessment of distribution transformers using loss capitalization formulae”, Journal of Electrical and Electronics Engineering Australia, vol 20, sz 1, p. 43–48, 2000.Google Scholar

  • [15] Károly Karsai, Dénes Kerény, László Kiss, “Large power transformers”, Elsevier, 1986.Google Scholar

  • [16] S.V. Kulkarni, “Transformer Design and Practice”, CRC Press, 2004.Google Scholar

  • [17] IEEE Loss Evaluation Guide for Power Transformers and Reactors, IEEE Std. C57. 120–1991, Sep. 1991.Google Scholar

  • [18] Zoltán Ádám Tamus, Complex diagnostics of insulating materials in industrial electrostatics, Journal of Electrostatics, Volume 67, Issues 2–3, May 2009, Pages 154-157, ISSN 0304-3886, http://dx.doi.org/10.1016/j.elstat.2009.01.054CrossrefGoogle Scholar

About the article

* Address: Egry J. u. 18, H-1111 Budapest, Hungary

** Postal address: 1034 Budapest, Bécsi út 94-96. C II. 217

Published Online: 2014-10-23

Citation Information: Electrical, Control and Communication Engineering, Volume 6, Issue 1, Pages 13–18, ISSN (Online) 2255-9159, DOI: https://doi.org/10.2478/ecce-2014-0012.

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© 2014 Riga Technical University. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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