Performance characteristics of switched -reluctance motor drive

...... ............... .......................................... ......................................... ......xi CHAPTER I INTRODUCTION............................. ........I 1.1 FundamentaJs of Design and Operation......................... ..........................3 1.2 Switching Circuit...................................................... .......................................7 1.3 Motivation and Objective........ ............... ......................... .......... ................10 1.4 LiteratureReview.............. ..14 1.5 Report Overview....... ................................................................. .......16 CHAPTER 2 FINITE ELEMENT SOLUTION OF ELECTROMAGNETIC FIELD.............................. .......18 2.1 FiniteElem entForm ulation........................................ ..19 2.1.1 Variational Formulation................................................ ........22 2.1.2 Derivation of Element Matrices............ ........................ ....................25 2.1.3 Matrix Assembly and Global Equations.......................... ...............28 2.2 Implementation of FE System.......... .......................................................... 30 2.2.1 Mesh Generation............. ............ ............ ................. ........... ...............30 2.2.2 Material Representation................................... ...........39 2.2.3 Data Manipulation........................................................................ .......39 2.2.4 Boundary Condition Implementation.............................. ..41 2.2.5 Solution of Global Equations................................ ............. ..............42 2.2.6 Convergence Criteria......................................................... ............. ...42 2.3 Results and Discussion................................................................................43 CHAPTER 3 METHODS AND ACCURACY OF TORQUE CALCULATION.. • •• ••• ••••• • • ♦ • ♦ ♦ • * ••• © •••*• .49 3.1 Global Virtual Work Method................. ................................ .,..,.,....50 3.2 Maxwell-Stress Tensor ....... 51 3.3 Local Virtual Work Method . .....57 3.4 Accuracy Consideration.....................,.,...........................................61 3.5 Previous Work on Torque Calculation ............ .,.....,...,........,„,......,,...65 3.6 Torque Calculation for the SRM-........ 3.7 Results and CHAPTER 4 STATIC CHARACTERISTICS AND PARAMETERS ••••••••»•••o•••••••••••• •••••••«•••«•»•••••• 4.1 Electromagnetic Energy...............---4.2 Flux Linkage.......... ..................................................... ........_________ .......97 4*3 Inductances . « ••••• ,,............................. ........ 101 4.4 Terminal Speed Voltage 4.5 Sensitivity Analysis................^l..................... ....,.,...,.,...,......,..,...,....107 CHAPTER 5 STEADY STATE PERFORMANCE OF SRM DRIVE. • • # • • • ♦ ♦ • • • ♦ •••• ♦ ♦ • • » • » • ..116 . I Control S t r s t G ^ y •••••••••••••••••••••••• *.«*.»*•«»*••«»•»»»•*»••«„»• • **»• •»•....117 5.2 Simplified Analysis .,.......,.............I.-------------------------------------.......1.20' 5.3 Switching Strategies__ ......___ _______ 5.3.1 Switching Signals................................. ...,125 5.3.2 .Angle C o n tr o l..•♦ • .• ...,,• .• .♦ * „ ,......,...,,,..,,.....,..,,...,.,; ,,,.,,1 2 7 5.3.3 Current Control(Chopping)............ ............................................127 5.4 Steady State M odel....... 5.5 Solution Method and Simulation Techniques,,.................................129 5.6 Experimental and.Simulation Results................................................130 CHAPT1ER e SUMMARY AND FUTURE RESEARCH......,........„...........189 6.1 Summary.............................................................. ......................................189 6.2 Future Research ........... .............................................. ,.190 LIST OF REFERENCES.................... ............ .......... ....................................192

[1]  J. Corda,et al.  Computation of torque and current in doubly salient reluctance motors from nonlinear magnetisation data , 1979 .

[2]  M. Riaz,et al.  The Circuit-Field Connection in Two-Dimensional AC Finite-Element Analysis of Multiply-Excited Magnetic Structures , 1985, IEEE Power Engineering Review.

[3]  Timothy J. E. Miller Converter Volt-Ampere Requirements of the Switched Reluctance Motor Drive , 1985, IEEE Transactions on Industry Applications.

[4]  Mehdi Moallem,et al.  Predicting the torque of a switched reluctance machine from its finite element field solution , 1990 .

[5]  S. Hoole,et al.  Flux density and energy perturbations in adaptive finite element mesh generation , 1988 .

[6]  P. H. Chappell Current pulses in switched reluctance motor , 1988 .

[7]  Hybrid boundary‐volume Galerkin’s method for nonlinear magnetostatic problems , 1985 .

[8]  P. J. Lawrenson,et al.  Efficient numerical method for predicting the torque/displacement curve of saturated VR stepping motors , 1980 .

[9]  K. Reichert,et al.  Accuracy problems of force and torque calculation in FE-systems , 1988 .

[10]  J. Byrne Tangential forces in overlapped pole geometries incorporating ideally saturable material , 1972 .

[11]  Clifford B. Gray Rotor Torque Distribution in Electrical Machines via Maxwell's Stresses , 1981, IEEE Transactions on Education.

[12]  I. Babuska,et al.  ON THE ANGLE CONDITION IN THE FINITE ELEMENT METHOD , 1976 .

[13]  A note on integration over finite elements , 1978 .

[14]  B. J. Davies,et al.  Surface Engineering Geometry for Computer Aided Design and Manufacture , 1987 .

[15]  C. J. Carpenter,et al.  Surface-integral methods of calculating forces on magnetized iron parts , 1960 .

[16]  J. Penman,et al.  Efficient calculation of force in electromagnetic devices , 1986 .

[17]  J. Lindsay,et al.  Sensitivity of pole arc/pole pitch ratio on switched reluctance motor performance , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[18]  T. Kabashima,et al.  Force calculation using magnetizing currents , 1988 .

[19]  S. Crary Two-Reaction Theory of Synchronous Machines , 1937, Transactions of the American Institute of Electrical Engineers.

[20]  J. M. Stephenson,et al.  High-Performance Switched Reluctance Brushless Drives , 1986, IEEE Transactions on Industry Applications.

[21]  N. Takahashi,et al.  Direct finite element analysis of flux and current distributions under specified conditions , 1982 .

[22]  Timothy J. E. Miller,et al.  A Review of the Integral-Horsepower Switched Reluctance Drive , 1985, IEEE Transactions on Industry Applications.

[23]  J Byrne,et al.  Characteristics of saturable stepper and reluctance motors. , 1976 .

[24]  C. N. Lu,et al.  Generation of Connection Matrices for Digital Simulation of Converter Circuits Using the Tensor Approach , 1987, IEEE Power Engineering Review.

[25]  Kazimierz Adamiak,et al.  Finite element force calculation: comparison of methods for electric machines , 1988 .

[26]  P. H. Chappell Winding current in a switched reluctance motor , 1987 .

[27]  S. Ratnajeevan,et al.  Rotor motion in the dynamic finite element analysis of rotating electrical machinery , 1985 .

[28]  Bimal K. Bose,et al.  Microcomputer Control of Switched Reluctance Motor , 1986, IEEE Transactions on Industry Applications.

[29]  A. Jacobus,et al.  Numerical solution of forces and torques , 1983 .

[30]  M. A. El-Khazendar,et al.  Saturation in doubly salient reluctance motors , 1989 .

[31]  S. Hoole,et al.  On finite element force computation from two- and three-dimensional magnetostatic fields , 1985 .

[32]  J. L. Coulomb,et al.  A methodology for the determination of global electromechanical quantities from a finite element analysis and its application to the evaluation of magnetic forces, torques and stiffness , 1983 .

[33]  Graham E. Dawson,et al.  Switched-Reluctance Motor Torque Characteristics: Finite-Element Analysis and Test Results , 1987, IEEE Transactions on Industry Applications.

[34]  R. J. Blake,et al.  Inverter drive for switched reluctance motor: circuits and component ratings , 1981 .