Global transformer design optimization using deterministic and non-deterministic algorithms

The present paper compares the application of one deterministic and three non-deterministic optimization algorithms to global transformer design optimization. One deterministic optimization algorithm (Mixed Integer Nonlinear Programming), is compared to three non-deterministic approaches (Harmony Search, Differential Evolution and Genetic Algorithm). The comparison yields significant conclusions on the efficiency of the algorithms and the selection of the most suitable for the transformer design optimization problem.

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

[2]  Ieee Standards Board IEEE loss evaluation guide for power transformers and reactors , 1992 .

[3]  Anastasios G. Bakirtzis,et al.  A genetic algorithm solution to the unit commitment problem , 1996 .

[4]  S. Hoole,et al.  Shape optimization of windings for minimum losses , 1996 .

[5]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

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

[7]  Han Li,et al.  Application research based on improved genetic algorithm for optimum design of power transformers , 2001, ICEMS'2001. Proceedings of the Fifth International Conference on Electrical Machines and Systems (IEEE Cat. No.01EX501).

[8]  Sven Leyffer,et al.  Integrating SQP and Branch-and-Bound for Mixed Integer Nonlinear Programming , 2001, Comput. Optim. Appl..

[9]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[10]  N. D. Doulamis,et al.  Optimal distribution transformers assembly using an adaptable neural network-genetic algorithm scheme , 2002, IEEE International Conference on Systems, Man and Cybernetics.

[11]  C. R. Souza,et al.  The application of intelligent systems in power transformer design , 2002, IEEE CCECE2002. Canadian Conference on Electrical and Computer Engineering. Conference Proceedings (Cat. No.02CH37373).

[12]  N. Tutkun,et al.  Design optimisation of a typical strip-wound toroidal core using genetic algorithms , 2004 .

[13]  Zong Woo Geem,et al.  Harmony Search for Generalized Orienteering Problem: Best Touring in China , 2005, ICNC.

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

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

[16]  C. Chat-uthai,et al.  Minimum Cost Design of Small Low-Loss Transformers , 2005, TENCON 2005 - 2005 IEEE Region 10 Conference.

[17]  M. Ramalinga Raju,et al.  Optimal Design of a Furnace Transformer by Genetic Algorithm , 2006, 2006 IEEE International Power and Energy Conference.

[18]  S. Elia,et al.  Design of cast-resin distribution transformers by means of genetic algorithms , 2006, International Symposium on Power Electronics, Electrical Drives, Automation and Motion, 2006. SPEEDAM 2006..

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

[20]  E.I. Amoiralis,et al.  Artificial Intelligence Combined with Hybrid FEM-BE Techniques for Global Transformer Optimization , 2006, IEEE Transactions on Magnetics.

[21]  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.

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

[23]  E.I. Amoiralis,et al.  Transformer Design and Optimization: A Literature Survey , 2009, IEEE Transactions on Power Delivery.

[24]  J. Lobry,et al.  Multiobjective optimal design of high frequency transformers using genetic algorithm , 2009, 2009 13th European Conference on Power Electronics and Applications.

[25]  Zhiliang Zhu,et al.  Application of Chaos Genetic Algorithm to Transformer Optimal Design , 2009, 2009 International Workshop on Chaos-Fractals Theories and Applications.

[26]  Shuang Zhang,et al.  Research of transformer optimal design modeling and intelligent algorithm , 2011, 2011 Chinese Control and Decision Conference (CCDC).

[27]  M. Raju,et al.  Optimal Network Reconfiguration of Large-Scale Distribution System Using Harmony Search Algorithm , 2011, IEEE Transactions on Power Systems.

[28]  A. Nowak,et al.  Shape Optimization of Coils and Cooling Ducts in Dry-Type Transformers Using Computational Fluid Dynamics and Genetic Algorithm , 2011, IEEE Transactions on Magnetics.

[29]  Abdul Azeem,et al.  Design Optimization of High-Frequency Power Transformer by Genetic Algorithm and Simulated Annealing , 2011 .