NSGA-II+FEM Based Loss Optimization of Three-Phase Transformer

In order to obtain a good optimization method for the electrical transformer design with optimal selection of parameters, performance evaluation of three evolutionary algorithms (EAs), namely, genetic algorithm (GA), differential evolution algorithm, and nondominated sorting GA (NSGA-II), is carried out. The aim of this paper is to optimize parameters of transformer design (core thicknesses, primary-turn number, secondary-turn number, primary conductor area, and secondary conductor area) for minimization of total power losses (no-load losses and load losses) in three-phase transformer topology while maintaining high efficiency and low cost. The method used for this optimization scheme combines the finite-element method (FEM) and EAs to provide an accurate selection of parameters together with the optimized magnetic flux density and decreased loss. Experimental results show that NSGA-II+FEM model successfully provides a global feasible solution by minimizing total loss and related cost while improving the efficiency of three-phase transformer, rendering it suitable for application in the design environment of industrial transformers.

[1]  L. Jauregui-Rivera,et al.  Acceptability of Four Transformer Top-Oil Thermal Models—Part I: Defining Metrics , 2008, IEEE Transactions on Power Delivery.

[2]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[3]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[4]  D. Phaengkieo,et al.  Design optimization of electrical transformer using genetic algorithm , 2014, 2014 17th International Conference on Electrical Machines and Systems (ICEMS).

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

[6]  R. Escarela-Perez,et al.  Asymmetry During Load-Loss Measurement of Three-Phase Three-Limb Transformers , 2007, IEEE Transactions on Power Delivery.

[7]  Rajesh M. Patel,et al.  Licensed under Creative Commons Attribution Cc by a Review on Transformer Design Optimization and Performance Analysis Using Artificial Intelligence Techniques , 2022 .

[8]  Andreas Sumper,et al.  Pareto Optimal Reconfiguration of Power Distribution Systems Using a Genetic Algorithm Based on NSGA-II , 2013 .

[9]  Siddhartha Bhattacharyya,et al.  Application of Pixel Intensity Based Medical Image Segmentation Using NSGA II Based Opti MUSIG Activation Function , 2014, 2014 International Conference on Computational Intelligence and Communication Networks.

[10]  Kostadin Brandisky,et al.  Eddy Current Testing Probe Optimization Using a Parallel Genetic Algorithm , 2008 .

[11]  Samir Sayah,et al.  Modified differential evolution algorithm for optimal power flow with non-smooth cost functions , 2008 .

[12]  L. Jauregui-Rivera,et al.  Acceptability of Four Transformer Top-Oil Thermal Models—Part II: Comparing Metrics , 2008, IEEE Transactions on Power Delivery.

[13]  A. Kladas,et al.  Global transformer design optimization using deterministic and non-deterministic algorithms , 2012, 2012 XXth International Conference on Electrical Machines.

[14]  David E. Goldberg,et al.  Genetic Algorithms with Sharing for Multimodalfunction Optimization , 1987, ICGA.

[15]  P. Georgilakis Environmental cost of distribution transformer losses , 2011 .

[16]  Hee-Je Kim,et al.  Analysis and Design of a Multioutput Converter Using Asymmetrical PWM Half-Bridge Flyback Converter Employing a Parallel–Series Transformer , 2013, IEEE Transactions on Industrial Electronics.

[17]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[18]  P. N. Suganthan,et al.  Differential Evolution Algorithm With Strategy Adaptation for Global Numerical Optimization , 2009, IEEE Transactions on Evolutionary Computation.

[19]  Stefanos D. Kollias,et al.  A synergetic neural network-genetic scheme for optimal transformer construction , 2002, Integr. Comput. Aided Eng..

[20]  Khoa Dang Hoang,et al.  Design optimization of high frequency transformer for dual active bridge DC-DC converter , 2012, 2012 XXth International Conference on Electrical Machines.

[21]  Vasilija Sarac,et al.  Application of numerical methods in calculation of electromagnetic fields in electrical machines , 2014 .

[22]  Jiadai Liu,et al.  Nonlinear Magnetic Equivalent Circuit-Based Real-Time Sen Transformer Electromagnetic Transient Model on FPGA for HIL Emulation , 2017, IEEE Transactions on Power Delivery.

[23]  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.

[24]  Hamid A. Toliyat,et al.  An Isolated Resonant AC-Link Three-Phase AC–AC Converter Using a Single HF Transformer , 2014, IEEE Transactions on Industrial Electronics.

[25]  Stefanos D. Kollias,et al.  Prediction of iron losses of wound core distribution transformers based on artificial neural networks , 1998, Neurocomputing.

[26]  Omorogiuwa Eseosa,et al.  A REVIEW OF INTELLIGENT BASED OPTIMIZATION TECHNIQUES IN POWER TRANSFORMER DESIGN , 2015 .

[27]  M. Tripathy,et al.  NSGA-II based optimal control scheme of wind thermal power system for improvement of frequency regulation characteristics , 2015 .

[28]  K.P. Wong,et al.  Application of Differential Evolution Algorithm for Transient Stability Constrained Optimal Power Flow , 2008, IEEE Transactions on Power Systems.

[29]  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.

[30]  Rainer Storn,et al.  Differential evolution design of an IIR-filter , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[31]  James H. Harlow,et al.  Electric Power Transformer Engineering , 2003 .

[32]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[33]  Xiang-zhong Guan Multi-objective PID Controller Based on NSGA-II Algorithm with Application to Main Steam Temperature Control , 2009, 2009 International Conference on Artificial Intelligence and Computational Intelligence.

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

[35]  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).

[36]  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.

[37]  Rajesh Patel,et al.  Optimal Design of Transformer using Tournament Selection based Elitist Genetic Algorithms , 2015 .

[38]  J. Z. Zhu,et al.  The finite element method , 1977 .

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

[40]  K. S. Swarup,et al.  Differential evolutionary algorithm for optimal reactive power dispatch , 2008 .

[41]  M. Clabian,et al.  Neural networks for the prediction of magnetic transformer core characteristics , 2000 .

[42]  Carmelo J. A. Bastos-Filho,et al.  Boolean Operators to Improve Multi-Objective Evolutionary Algorithms for Designing Optical Networks , 2016 .

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

[44]  H. Abbass,et al.  PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).