A generalized approach to planar induction heating magnetics

This thesis describes an efficient numerical simulation technique of magnetoquasistatic electromagnetic fields for planar induction heating applications. The technique is based on a volume-element discretization, integral formulation of Maxwell’s equations, and uses the multilayer Green’s function to avoid volumetric meshing of the heated material. The technique demonstrates two orders of magnitude of computational advantage compared to existing FEM techniques. Single-objective and multiobjective optimization of a domestic induction heating coil are performed using the new technique, using more advanced algorithms than those previously used due to the increase in speed. Both optimization algorithms produced novel, three-dimensional induction coil designs. Thesis Supervisor: John G. Kassakian Title: Professor of Electrical Engineering and Computer Science

[1]  W. Roshen,et al.  Planar inductors on magnetic substrates , 1988 .

[2]  I. Sloan Lattice Methods for Multiple Integration , 1994 .

[3]  R. J. Ditchburn,et al.  Planar rectangular spiral coils in eddy-current non-destructive inspection , 2005 .

[4]  T. Senior Impedance boundary conditions for imperfectly conducting surfaces , 1960 .

[5]  Jacob K. White,et al.  Comparing precorrected-FFT and fast multipole algorithms for solving three-dimensional potential integral equations , 1994 .

[6]  Sandro De Silvestri,et al.  High-accuracy fast Hankel transform for optical beam propagation , 1992 .

[7]  Charles R. Sullivan Optimal choice for number of strands in a litz-wire transformer winding , 1997 .

[8]  A. Siegman Quasi fast Hankel transform. , 1977, Optics letters.

[9]  Joel R. Phillips Precorrected-FFT Methods For Electromagnetic Analysis Of Complex 3-D Interconnect And Packages , 1995 .

[10]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

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

[12]  C. Hoer,et al.  Exact inductance equations for rectangular conductors with applications to more complicated geometries , 1965 .

[13]  A. E. Ruehii Inductance Calculations in a Complex Integrated Circuit Environment , 2002 .

[14]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[15]  T. Pritchett Fast Hankel Transform Algorithms for Optical Beam Propagation , 2001 .

[16]  Kenneth L. Shepard,et al.  Full-chip, three-dimensional shapes-based RLC extraction , 2004, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[17]  A. Niknejad,et al.  Analysis of eddy-current losses over conductive substrates with applications to monolithic inductors and transformers , 2001 .

[18]  Mattan Kamon,et al.  FastHenry: A Multipole-Accelerated 3-D Inductance Extraction Program , 1993, 30th ACM/IEEE Design Automation Conference.

[19]  Diego Puyal,et al.  Frequency-dependent resistance in Litz-wire planar windings for domestic induction heating appliances , 2006, IEEE Transactions on Power Electronics.

[20]  Peter Sergeant,et al.  Optimizing active and passive magnetic shields of induction heaters by a genetic algorithm , 2003 .

[21]  J.D. van Wyk,et al.  Design of the half-bridge, series resonant converter for induction cooking , 1995, Proceedings of PESC '95 - Power Electronics Specialist Conference.

[22]  W. G. Hurley,et al.  Calculation of self and mutual impedances in planar magnetic structures , 1995 .

[23]  L. A. Barragan,et al.  Modeling of Planar Spiral Inductors Between Two Multilayer Media for Induction Heating Applications , 2006, IEEE Transactions on Magnetics.

[24]  P. Dular,et al.  Fast multipole accelerated finite element-boundary element analysis of shielded induction heaters , 2006, IEEE Transactions on Magnetics.

[25]  S.Y.R. Hui,et al.  A new generation of universal contactless Battery Charging platform for portable Consumer Electronic equipment , 2004, IEEE Transactions on Power Electronics.

[26]  Florian Heiss,et al.  Likelihood approximation by numerical integration on sparse grids , 2008 .

[27]  J. Acero,et al.  Domestic Induction Appliances , 2010, IEEE Industry Applications Magazine.

[28]  H. Greenhouse,et al.  Design of Planar Rectangular Microelectronic Inductors , 1974 .

[29]  Hao Ji,et al.  How to efficiently capture on-chip inductance effects: introducing a new circuit element K , 2000, IEEE/ACM International Conference on Computer Aided Design. ICCAD - 2000. IEEE/ACM Digest of Technical Papers (Cat. No.00CH37140).

[30]  Frederick Warren Grover,et al.  Inductance Calculations: Working Formulas and Tables , 1981 .

[31]  Luis A. Barragan,et al.  Enhancement of induction heating performance by sandwiched planar windings , 2006 .

[33]  M. Adler A field-theoretical approach to magnetic induction heating of thin circular plates , 1974 .

[34]  Ming-Shyan Huang,et al.  Effect of multi-layered induction coils on efficiency and uniformity of surface heating , 2010 .

[35]  L. Dupré,et al.  Passive and active electromagnetic shielding of induction heaters , 2004, IEEE Transactions on Magnetics.

[36]  W. Roshen Effect of finite thickness of magnetic substrate on planar inductors , 1990 .

[37]  Luis A. Barragan,et al.  Electromagnetic induction of planar windings with cylindrical symmetry between two half-spaces , 2008 .

[38]  Jinxing Shen Computational electromagnetics using boundary elements : advances in modelling eddy currents , 1995 .

[39]  Thomas Gerstner,et al.  Numerical integration using sparse grids , 2004, Numerical Algorithms.

[40]  P Alotto,et al.  Particle Swarm Optimization of a Multi-Coil Transverse Flux Induction Heating System , 2010, IEEE Transactions on Magnetics.

[41]  Craig B. Borkowf,et al.  Random Number Generation and Monte Carlo Methods , 2000, Technometrics.

[42]  E. Kriezis,et al.  Eddy currents in linear conducting media , 1984 .

[43]  J.D. van Wyk,et al.  Investigating the influence of material properties on the efficiency of an induction heating load transformer using FEM simulations , 1995, IAS '95. Conference Record of the 1995 IEEE Industry Applications Conference Thirtieth IAS Annual Meeting.

[44]  Gary B. Lamont,et al.  Applications Of Multi-Objective Evolutionary Algorithms , 2004 .

[45]  Weifeng Tang Transforming Domain into Boundary Integrals in BEM: A Generalized Approach , 1988 .

[46]  Valery Rudnev,et al.  Handbook of Induction Heating , 2002 .

[47]  L. A. Barragan,et al.  Analytical equivalent impedance for a planar circular induction heating system , 2006, IEEE Transactions on Magnetics.

[48]  John R. Bowler Eddy current calculations using half-space Green's functions , 1989 .

[49]  Mutsuo Nakaoka,et al.  Latest developments of high-frequency series load resonant inverter type built-in cooktops for induction heated all metallic appliances , 2009, 2009 IEEE 6th International Power Electronics and Motion Control Conference.

[50]  O. Solgaard Electromagnetic Fields and Energy , 2009 .

[51]  Lester Ingber,et al.  Adaptive simulated annealing (ASA): Lessons learned , 2000, ArXiv.

[52]  Kyung K. Choi,et al.  Optimal design procedure for a practical induction heating cooker , 2000 .

[53]  Chi-Yuan Lo,et al.  Parasitic extraction: current state of the art and future trends , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[54]  J. D. Lavers,et al.  State of the art of numerical modeling for induction processes , 2008 .

[55]  Z. Zhu,et al.  Quasi-discrete Hankel transform. , 1998, Optics letters.

[56]  W. E. Deeds,et al.  ANALYTICAL SOLUTIONS TO EDDY--CURRENT PROBE COIL PROBLEMS. , 1967 .

[57]  W. G. Hurley,et al.  Calculation of self- and mutual impedances in planar sandwich inductors , 1997 .

[58]  Alan Genz,et al.  An adaptive algorithm for numerical integration over an n-dimensional rectangular region , 1980 .

[59]  J. A. Ferreira Analytical computation of AC resistance of round and rectangular litz wire windings , 1992 .

[60]  Lance D. Chambers The Practical Handbook of Genetic Algorithms: Applications, Second Edition , 2000 .

[61]  Lothar Thiele,et al.  Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach , 1999, IEEE Trans. Evol. Comput..

[62]  Manuel Guizar-Sicairos,et al.  Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[63]  W. G. Hurley,et al.  Induction heating of circular ferromagnetic plates , 1979 .

[64]  Jasbir S. Arora,et al.  Survey of multi-objective optimization methods for engineering , 2004 .

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

[66]  Ali M. Niknejad,et al.  Analysis, design, and optimization of spiral inductors and transformers for Si RF ICs , 1998, IEEE J. Solid State Circuits.

[67]  Gerard Berthiau,et al.  Simple analytical three-dimensional eddy-current model , 2000 .