1st Edition

Electrical Machine Analysis Using Finite Elements

By Nicola Bianchi Copyright 2005
    300 Pages 160 B/W Illustrations
    by CRC Press

    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
    Computation of the No-Load Inductances
    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 No-Load Characteristic
    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 No-Load Characteristic
    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