A review of recent developments in electrical machine design optimization methods with a permanent magnet synchronous motor benchmark study

The paper systematically covers the significant developments of the last decade, including surrogate modelling of electrical machines, direct and stochastic search algorithms for both single- and multi- objective design optimization problems. The specific challenges and the dedicated algorithms for electric machine design are discussed, followed by benchmark studies comparing Response Surface (RS) and Differential Evolutionary (DE) algorithms on a permanent magnet synchronous motor (PMSM) design with 5 independent variables and a strong non-linear multi-objective Pareto front and on a function with 11 independent variables. The results show that RS and DE are comparable when the optimization employs only a small number of design candidates and DE performs better when more candidates are included.

[1]  I. Boldea,et al.  The optimal lamination approach (OLA) to induction machine design global optimization , 1996, IAS '96. Conference Record of the 1996 IEEE Industry Applications Conference Thirty-First IAS Annual Meeting.

[2]  T Ishikawa,et al.  An Optimal Material Distribution Design of Brushless DC Motor by Genetic Algorithm Considering a Cluster of Material , 2011, IEEE Transactions on Magnetics.

[3]  A. Miraoui,et al.  Two-Stage Surrogate Model for Finite-Element-Based Optimization of Permanent-Magnet Synchronous Motor , 2007, IEEE Transactions on Magnetics.

[4]  Myounggyu D. Noh,et al.  Optimal Design of Radial-Flux Toroidally Wound Brushless DC Machines , 2011, IEEE Transactions on Industrial Electronics.

[5]  Leandro dos Santos Coelho,et al.  Multiobjective Particle Swarm Approach for the Design of a Brushless DC Wheel Motor , 2010, IEEE Transactions on Magnetics.

[6]  Hamid A. Toliyat,et al.  Optimal design of PM assisted synchronous reluctance generators using lumped parameter model and Differential Evolution Strategy , 2009, 2009 IEEE Energy Conversion Congress and Exposition.

[7]  R. Wrobel,et al.  Design Considerations of a Direct Drive Brushless Machine With Concentrated Windings , 2008, IEEE Transactions on Energy Conversion.

[8]  Jong-Wook Kim,et al.  Novel Memetic Algorithm implemented With GA (Genetic Algorithm) and MADS (Mesh Adaptive Direct Search) for Optimal Design of Electromagnetic System , 2010, IEEE Transactions on Magnetics.

[9]  S. Brisset,et al.  Design and Optimization of a Nine-Phase Axial-Flux PM Synchronous Generator With Concentrated Winding for Direct-Drive Wind Turbine , 2006, IEEE Transactions on Industry Applications.

[10]  M.J. Kamper,et al.  Optimal design of a coreless stator axial flux permanent-magnet generator , 2005, IEEE Transactions on Magnetics.

[11]  Dan M. Ionel,et al.  Modeling and design optimization of PM AC machines using computationally efficient - finite element analysis , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[12]  Caro Lucas,et al.  Multiobjective optimization method based on a genetic algorithm for switched reluctance motor design , 2002 .

[13]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems (Genetic and Evolutionary Computation) , 2006 .

[14]  Hamid A. Toliyat,et al.  Optimal design and comparison of stator winding configurations in permanent magnet assisted synchronous reluctance generator , 2009, 2009 IEEE International Electric Machines and Drives Conference.

[15]  S. Mishra,et al.  Improving Stability of a DFIG-Based Wind Power System With Tuned Damping Controller , 2009, IEEE Transactions on Energy Conversion.

[16]  H. Lesani,et al.  Design Optimization of a Low-Speed Single-Sided Linear Induction Motor for Improved Efficiency and Power Factor , 2008, IEEE Transactions on Magnetics.

[17]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[18]  Andreas Binder,et al.  A new approach for solving vector optimization problems , 2000 .

[19]  J.W. Bandler,et al.  Space mapping: the state of the art , 2004, IEEE Transactions on Microwave Theory and Techniques.

[20]  Liang Fang,et al.  Study on High-Efficiency Performance in Interior Permanent-Magnet Synchronous Motor With Double-Layer PM Design , 2008, IEEE Transactions on Magnetics.

[21]  L. Encica,et al.  Manifold-mapping optimization applied to linear actuator design , 2006, IEEE Transactions on Magnetics.

[22]  Jung Ho Lee,et al.  Optimum Design of Synchronous Reluctance Motors Based on Torque/Volume Using Finite-Element Method and Sequential Unconstrained Minimization Technique , 2008, IEEE Transactions on Magnetics.

[23]  Dan M. Ionel,et al.  A review of efficient FE modeling techniques with applications to PM AC machines , 2011, 2011 IEEE Power and Energy Society General Meeting.

[24]  F. Cupertino,et al.  FEA-based multi-objective optimization of IPM motor design including rotor losses , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[25]  Carlos A. Coello Coello,et al.  Handling multiple objectives with particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[26]  Wenyin Gong,et al.  A multiobjective differential evolution algorithm for constrained optimization , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[27]  Chang-Hwan Im,et al.  An Improved Particle Swarm Optimization Algorithm Mimicking Territorial Dispute Between Groups for Multimodal Function Optimization Problems , 2008, IEEE Transactions on Magnetics.

[28]  Jung Ho Lee,et al.  Rotor Design on Torque Ripple Reduction for a Synchronous Reluctance Motor With Concentrated Winding Using Response Surface Methodology , 2006, IEEE Transactions on Magnetics.

[29]  Dong-Kyun Woo,et al.  A Novel Multimodal Optimization Algorithm Applied to Electromagnetic Optimization , 2011, IEEE Transactions on Magnetics.

[30]  Tsutomu Hoshino,et al.  Optimal design of superconducting generator using genetic algorithm and simulated annealing , 2004 .

[31]  D. M. Ionel,et al.  Multi-objective optimization of PM AC machines using computationally efficient - FEA and differential evolution , 2011, 2011 IEEE International Electric Machines & Drives Conference (IEMDC).

[32]  Hyun-Kyo Jung,et al.  Optimal design of permanent-magnet motor using autotuning niching genetic algorithm , 2003 .

[33]  Ion Boldea,et al.  Electric Machines: Steady State, Transients, and Design with MATLAB® , 2009 .

[34]  S. Vivier,et al.  Fast Optimization of a Linear Actuator by Space Mapping Using Unique Finite-Element Model , 2010, IEEE Transactions on Industry Applications.

[35]  Frederic Gillon,et al.  Screening and response surface method applied to the numerical optimization of electromagnetic devices , 2000 .

[36]  S.D. Sudhoff,et al.  Population-Based Design of Surface-Mounted Permanent-Magnet Synchronous Machines , 2009, IEEE Transactions on Energy Conversion.

[37]  Mahdi Ashabani,et al.  Multiobjective Shape Optimization of Segmented Pole Permanent-Magnet Synchronous Machines With Improved Torque Characteristics , 2011, IEEE Transactions on Magnetics.

[38]  K.R. Davey,et al.  Numerical design of synchronous generators , 2005, IEEE Transactions on Magnetics.

[39]  G. F. Uler,et al.  Design optimization of electrical machines using genetic algorithms , 1995 .

[40]  Teck-Seng Low,et al.  Structural robust design for torque optimization of BLDC spindle motor using response surface methodology , 2001 .

[41]  A.M. Omekanda,et al.  Robust torque and torque-per-inertia optimization of a switched reluctance motor using the Taguchi methods , 2006, IEEE Transactions on Industry Applications.

[42]  S. Andrew Semidey,et al.  Optimal electromagnetic-thermo-mechanical integrated design for surface mount permanent magnet machines considering load profiles , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[43]  P. Brochet,et al.  Multiobjective Optimization of Induction Machines Including Mixed Variables and Noise Minimization , 2008, IEEE Transactions on Magnetics.

[44]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[45]  X Jannot,et al.  Multiphysic Modeling of a High-Speed Interior Permanent-Magnet Synchronous Machine for a Multiobjective Optimal Design , 2011, IEEE Transactions on Energy Conversion.

[46]  Jong-Wook Kim,et al.  Intelligent memetic algorithm using GA and guided MADS for the optimal design of Interior PM Synchronous Machine , 2010, Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation.

[47]  P Brochet,et al.  A Parallel Multiobjective Efficient Global Optimization: The Finite Element Method in Optimal Design and Model Development , 2010, IEEE Transactions on Magnetics.

[48]  R. G. Harley,et al.  A Novel Method for Multiobjective Design and Optimization of Three Phase Induction Machines , 2011, IEEE Transactions on Industry Applications.

[49]  Frédéric Messine,et al.  Optimal design of electromechanical actuators: a new method based on global optimization , 1998 .

[50]  Hany M Hasanien,et al.  Design Optimization of Transverse Flux Linear Motor for Weight Reduction and Performance Improvement Using Response Surface Methodology and Genetic Algorithms , 2010, IEEE Transactions on Energy Conversion.

[51]  Song-Yop Hahn,et al.  Multiobjective optimal design of interior permanent magnet synchronous motors considering improved core loss formula , 1997 .

[52]  D.A. Kocabas Novel Winding and Core Design for Maximum Reduction of Harmonic Magnetomotive Force in AC Motors , 2009, IEEE Transactions on Magnetics.

[53]  Nabeel A. O. Demerdash,et al.  Optimization of the skew angle of rotor magnetic poles in permanent magnet machines based on the inverse problem method , 1997 .

[54]  Siuli Mukhopadhyay,et al.  Response surface methodology , 2010 .

[55]  M. Jabbar,et al.  Design optimization of permanent magnet motors using response surface methodology and genetic algorithms , 2005, IEEE Transactions on Magnetics.

[56]  Xiaodong Li,et al.  Benchmark Functions for the CEC'2010 Special Session and Competition on Large-Scale , 2009 .

[57]  Kathryn A. Dowsland,et al.  Simulated Annealing , 1989, Encyclopedia of GIS.

[58]  G. Friedrich,et al.  Integrated Starter Generator: The Need for an Optimal Design and Control Approach. Application to a Permanent Magnet Machine , 2007, IEEE Transactions on Industry Applications.

[59]  J. Hammersley,et al.  Monte Carlo Methods , 1965 .

[60]  Kevin M. Passino,et al.  Biomimicry of bacterial foraging for distributed optimization and control , 2002 .

[61]  M. Celebi Weight optimisation of a salient pole synchronous generator by a new genetic algorithm validated by finite element analysis , 2009 .

[62]  G. F. Uler,et al.  A hybrid technique for the optimal design of electromagnetic devices using direct search and genetic algorithms , 1997 .

[63]  Sung-Min Kim,et al.  Rotor-Design Strategy of IPMSM for 42 V Integrated Starter Generator , 2010, IEEE Transactions on Magnetics.

[64]  Stephane Vivier,et al.  Combination of Finite-Element and Analytical Models in the Optimal Multidomain Design of Machines: Application to an Interior Permanent-Magnet Starter Generator , 2010 .

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

[66]  Minos Beniakar,et al.  Evolutionary optimization of Permanent Magnet machine design for traction applications , 2010, Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation.

[67]  S. Wakao,et al.  Application of Stepwise Multiple Regression to Design Optimization of Electric Machine , 2006, IEEE Transactions on Magnetics.

[68]  Amir Zare Bazghaleh,et al.  Optimum Design of Single-Sided Linear Induction Motors for Improved Motor Performance , 2010, IEEE Transactions on Magnetics.

[69]  Kazufumi Kaneda,et al.  Inverse shape optimization using dynamically adjustable genetic algorithms [electric machine design] , 1997 .

[70]  K. Idir,et al.  Error-based global optimization approach for electric motor design , 1998 .

[71]  W. Wu,et al.  Design optimization of switched reluctance motor by electromagnetic and thermal finite element analysis , 2003, Digest of INTERMAG 2003. International Magnetics Conference (Cat. No.03CH37401).

[72]  Nicola Bianchi,et al.  Design optimisation of electric motors by genetic algorithms , 1998 .

[73]  Nikolaus Hansen,et al.  Compilation of Results on the 2005 CEC Benchmark Function Set , 2005 .

[74]  Yves Perriard,et al.  Very-High-Speed Slotless Permanent-Magnet Motors: Analytical Modeling, Optimization, Design, and Torque Measurement Methods , 2010, IEEE Transactions on Industrial Electronics.

[75]  Salman Mohagheghi,et al.  Particle Swarm Optimization: Basic Concepts, Variants and Applications in Power Systems , 2008, IEEE Transactions on Evolutionary Computation.

[76]  Y. Rahmat-Samii,et al.  Particle swarm optimization in electromagnetics , 2004, IEEE Transactions on Antennas and Propagation.

[77]  Sun-Ki Hong,et al.  Size optimization of steel-cored PMLSM aimed for rapid and smooth driving on short reciprocating trajectory using auto-tuning niching genetic algorithm , 2004 .

[78]  Lothar Thiele,et al.  The Hypervolume Indicator Revisited: On the Design of Pareto-compliant Indicators Via Weighted Integration , 2007, EMO.

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

[80]  Cezar Augusto Sierakowski,et al.  Improved Bacterial Foraging Strategy Applied to TEAM Workshop Benchmark Problem , 2010, IEEE Transactions on Magnetics.

[81]  P. Brochet,et al.  Optimization techniques derived from experimental design method and their application to the design of a brushless direct current motor , 2001 .

[82]  Ju Lee,et al.  Multiobjective Optimal Design for Interior Permanent Magnet Synchronous Motor , 2009 .

[83]  P.T. Krein,et al.  Capabilities of finite element analysis and magnetic equivalent circuits for electrical machine analysis and design , 2008, 2008 IEEE Power Electronics Specialists Conference.

[84]  D. Casadei,et al.  Reduction of the torque ripple in permanent magnet actuators by a multi-objective minimization technique , 1998 .

[85]  Sun Bum Kwon,et al.  Optimum design criteria based on the rated Watt of a synchronous reluctance motor using a coupled FEM and SUMT , 2005, IEEE Transactions on Magnetics.

[86]  Dan M. Ionel,et al.  Ultra-fast finite element analysis of brushless PM machines based on space-time transformations , 2009, 2009 IEEE International Electric Machines and Drives Conference.

[87]  Shuhong Wang,et al.  Dynamic Multilevel Optimization of Machine Design and Control Parameters Based on Correlation Analysis , 2010, IEEE Transactions on Magnetics.

[88]  Kay Chen Tan,et al.  Evolutionary Multi-objective Optimization in Uncertain Environments - Issues and Algorithms , 2009, Studies in Computational Intelligence.

[89]  T.G. Habetler,et al.  A useful multi-objective optimization design method for PM motors considering nonlinear material properties , 2009, 2009 IEEE Energy Conversion Congress and Exposition.

[90]  D. Hong,et al.  Optimum Design of Transverse Flux Linear Motor for Weight Reduction and Improvement Thrust Force Using Response Surface Methodology , 2008, IEEE Transactions on Magnetics.

[91]  Osama A. Mohammed,et al.  Utilizing genetic algorithms for the optimal design of electromagnetic devices , 1994 .

[92]  Jing J. Liang,et al.  Problem Definitions for Performance Assessment of Multi-objective Optimization Algorithms , 2007 .

[93]  L. Tutelea,et al.  25 kW, 15 krpm, 6/4 PMSM: Optimal design and torque pulsation reduction via FEM , 2008, 2008 11th International Conference on Optimization of Electrical and Electronic Equipment.

[94]  A.A. Arkadan,et al.  Particle Swarm Design Optimization of ALA Rotor SynRM for Traction Applications , 2009, IEEE Transactions on Magnetics.

[95]  L. Dupre,et al.  Space Mapping Optimization of the Magnetic Circuit of Electrical Machines Including Local Material Degradation , 2007, IEEE Transactions on Magnetics.

[96]  Nady Boules,et al.  Design optimization of permanent magnet DC motors , 1990 .

[97]  M. A. Jabbar,et al.  Optimization of the constant power speed range of a saturated permanent-magnet synchronous motor , 2006 .