1st Edition

# Electrical Machine Analysis Using Finite Elements

300 Pages 160 B/W Illustrations
by CRC Press

304 Pages 160 B/W Illustrations
by CRC Press

Also available as eBook on:

From the fan motor in your PC to precision control of aircraft, electrical machines of all sizes, varieties, and levels of complexity permeate our world. Some are very simple, while others require exacting and application-specific design. Electrical Machine Analysis Using Finite Elements provides the tools necessary for the analysis and design of any type of electrical machine by integrating mathematical/numerical techniques with analytical and design methodologies.

Building successively from simple to complex analyses, this book leads you step-by-step through the procedures and illustrates their implementation with examples of both traditional and innovative machines. Although the examples are of specific devices, they demonstrate how the procedures apply to any type of electrical machine, introducing a preliminary theory followed by various considerations for the unique circumstance. The author presents the mathematical background underlying the analysis, but emphasizes application of the techniques, common strategies, and obtained results. He also supplies codes for simple algorithms and reveals analytical methodologies that universally apply to any software program.

With step-by-step coverage of the fundamentals and common procedures, Electrical Machine Analysis Using Finite Elements offers a superior analytical framework that allows you to adapt to any electrical machine, to any software platform, and to any specific requirements that you may encounter.

OUTLINE OF ELECTROMAGNETIC FIELDS
Vector Analysis
Electromagnetic Fields
Fundamental Equations Summary
References

BASIC PRINCIPLES OF FINITE ELEMENT METHODS
Introduction
Field Problems with Boundary Conditions
Classical Method for the Field Problem Solution
The Classical Residual Method (Galerkin's Method)
The Classical Variational Method (Rayleigh-Ritz's Method)
The Finite Element Method
References

APPLICATIONS OF THE FINITE ELEMENT METHOD TO TWO-DIMENSIONAL FIELDS
Introduction
Linear Interpolation of the Function f
Application of the Variational Method
Simple Descriptions of Electromagnetic Fields
Appendix: Integration in Triangular Elements

THE ANALYSIS PROCEDURE USING THE FINITE ELEMENT METHOD
Introduction
Reduction of the Field Problem to a Two-Dimensional Problem
Boundary Conditions
Computation of the Solved Structure

CYLINDRICAL MAGNETIC DEVICES
Introduction
Analytical Study of the Magnetic Device
Finite Element Analysis
Example
References

THE SINGLE-PHASE TRANSFORMER
The Single-Phase Transformer
Equivalent Electric Circuit of the Transformer
Determination of the Leakage Inductances
Algorithm for the Construction of the Magnetizing Characteristic of the Transformer
References

SINGLE-PHASE VARIABLE REACTANCE
The Single-Phase Variable Reactance
Computation of the Reactance
Example
References

SYNCHRONOUS GENERATORS
Introduction
Computation of the Direct-Axis Inductance
Computation of the Quadrature Axis Inductance
Self- and Mutual Inductances
Saturation Effect
Computation of Ld and Lq with Any Current
Computation of the Machine Characteristics
Example
Appendix: The Transformation abc-dq
References

SURFACE-MOUNTED PERMANENT MAGNET MOTORS
Introduction
Computation of the Inductances
Computation of the Torque
Example
References
Further References on AC Drives

INTERIOR PERMANENT MAGNET AND RELUCTANCE SYNCHRONOUS MOTORS
Introduction
Characteristic Motor Parameters
Torque-Speed Characteristic
Algorithm for an Automatic Computation
Synchronous Reluctance Motors
References

SELF-STARTING SINGLE-PHASE SYNCHRONOUS MOTORS
Introduction
Definition of the Motor Model
Computation of the Electrical Parameters
Computation of the Torque
Analysis of the Dynamic Performance
Example
Two-Dimensional Linear Interpolation
Numerical Codes for the Motor Analysis
References

SWITCHED RELUCTANCE MOTORS
Introduction
Operating Principle
Field Problem Statement
Computation on the Solved Structure
Example
References

THREE-PHASE INDUCTION MOTORS
Introduction
Simulations of the Indirect Tests
Motor Analysis Using Simulations Under Load
References
APPENDIX
INDEX

### Biography

Bianchi, Nicola