A Practical Approach for the Global Optimization of Electromagnetic Design of 3-Phase Core-Type Distribution Transformer Allowing for Capitalization of Losses

A new approach which integrates multiple nonlinear constrained optimization algorithms in conjunction with an improved heuristic algorithm is presented. The approach includes capitalization of losses in the global design optimization process of three-phase oil-immersed distribution transformers. In addition, the proposed technique incorporates finite element-based electromagnetic analysis for losses, short circuit impedance and forces, in order to assess the globally optimum design produced by the approach against design specifications. We present practical results from a range of distribution transformers designed using existing techniques and the new approach. The practical results demonstrate the significant improvements in design when compared with existing techniques.

[1]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[2]  A. Ruszczynski,et al.  Nonlinear Optimization , 2006 .

[3]  E.I. Amoiralis,et al.  A Parallel Mixed Integer Programming-Finite Element Method Technique for Global Design Optimization of Power Transformers , 2008, IEEE Transactions on Magnetics.

[4]  A. Kladas,et al.  Multiple Grade Lamination Wound Core: A Novel Technique for Transformer Iron Loss Minimization Using Simulated Annealing With Restarts and an Anisotropy Model , 2008, IEEE Transactions on Magnetics.

[5]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[6]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[7]  Marian K. Kazimierczuk.  Design of Transformers , 2013 .

[8]  Pavlos S. Georgilakis,et al.  A heuristic solution to the transformer manufacturing cost optimization problem , 2007 .

[9]  Jorge Nocedal,et al.  An Interior Point Algorithm for Large-Scale Nonlinear Programming , 1999, SIAM J. Optim..

[10]  Singiresu S. Rao.  Engineering Optimization : Theory and Practice , 2010 .

[11]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[12]  Rana A. Jabbar,et al.  AN INNOVATIVE TECHNIQUE FOR DESIGN OPTIMIZATION OF CORE TYPE 3-PHASE DISTRIBUTION TRANSFORMER USING MATHEMATICA , 2012 .

[13]  H. Wu,et al.  Transformer design using time-sharing computer , 1970 .

[14]  E.I. Amoiralis,et al.  Global Transformer Optimization Method Using Evolutionary Design and Numerical Field Computation , 2009, IEEE Transactions on Magnetics.

[15]  Michael Bartholomew-Biggs,et al.  Nonlinear Optimization with Engineering Applications , 2008 .

[16]  T. Tsuchiya,et al.  On the formulation and theory of the Newton interior-point method for nonlinear programming , 1996 .

[17]  R.A. Jabr,et al.  Application of geometric programming to transformer design , 2005, IEEE Transactions on Magnetics.

[18]  C. Wu,et al.  Minimum weight EI core and pot core inductor and transformer designs , 1980 .

[19]  Marco Antonio Luersen,et al.  Globalized Nelder-Mead method for engineering optimization , 2002 .