396 Pages 170 B/W Illustrations
    by CRC Press

    Controlling the level of noise in electrical motors is critical to overall system performance. However, predicting noise of an electrical motor is more difficult and less accurate than for other characteristics such as torque-speed. Recent advances have produced powerful computational methods for noise prediction, and Noise of Polyphase Electric Motors is the first book to collect these advances in a single source. It is also the first to include noise prediction for permanent magnet (PM) synchronous motors.

    Complete coverage of all aspects of electromagnetic, structural, and vibro-acoustic noise makes this a uniquely comprehensive reference. The authors begin with the basic principles of noise generation and radiation, magnetic field and radial forces, torque pulsations, acoustic calculations, as well as noise and vibration of mechanical and acoustic origin. Moving to applications, the book examines in detail stator system vibration analysis including the use of finite element method (FEM) modal analysis; FEM for radial pressure and structural modeling; boundary element methods (BEM) for acoustic radiation; statistical energy analysis (SEA); instrumentation including technologies, procedures, and standards; and both passive and active methods for control of noise and vibration.

    Noise of Polyphase Electric Motors gathers the fundamental concepts along with all of the analytical, numerical, and statistical methods into a unified reference. It supplies all of the tools necessary to improve the noise performance of electrical motors at the design stage.

    GENERATION AND RADIATION OF NOISE IN ELECTRICAL MACHINES
    Vibration, Sound, and Noise
    Sound Waves
    Sources of Noise in Electrical Machines
    Energy Conversion Process
    Noise Limits and Measurement Procedures for Electrical Machines
    Deterministic and Statistical Methods of Noise Prediction
    Economical Aspects
    Accuracy of Noise Prediction
    MAGNETIC FIELDS AND RADIAL FORCES IN POLYPHASE MOTORS FED WITH SINUSOIDAL CURRENTS
    Construction of Induction Motors
    Construction of Permanent Magnet Synchronous Brushless Motors
    A.C. Stator Windings
    Stator Winding MMF
    Rotor Magnetic Field
    Calculation of Air Gap Magnetic Field
    Radial Forces
    Other Sources of Electromagnetic Vibration and Noise
    INVERTER-FED MOTORS
    Generation of Higher Time Harmonics
    Analysis of Radial Forces for Nonsinusoidal Currents
    Higher Time Harmonic Torques in Induction Machines
    Higher Time Harmonic Torques in Permanent Magnet (PM) Brushless Machines
    Influence of the Switching Frequency of an Inverter
    Noise Reduction of Inverter-Fed Motors
    TORQUE PULSATIONS
    Analytical Methods of Instantaneous Torque Calculation
    Numerical Methods of Instantaneous Torque Calculation
    Electromagnetic Torque Components
    Sources of Torque Pulsations
    Higher Harmonic Torques of Induction Motors
    Cogging Torque in Permanent Magnet (PM) Brushless Motors
    Torque Ripple Due to Distortion of EMF and Current Waveforms in Permanent Magnet (PM) Brushless Motors
    Tangential Forces vs. Radial Forces
    Minimization of Torque Ripple in PM Brushless Motors
    STATOR SYSTEM VIBRATION ANALYSIS
    Forced Vibration
    Simplified Calculation of Natural Frequencies of the Stator System
    Improved Analytical Method of Calculation of Natural Frequencies
    Numerical Verification
    ACOUSTIC CALCULATIONS
    Sound Radiation Efficiency
    Plane Radiator
    Infinitely Long Cylindrical Radiator
    Finite Length Cylindrical Radiator
    Calculations of Sound Power Level
    NOISE AND VIBRATION OF MECHANICAL AND AERODYNAMIC ORIGIN
    Mechanical Noise Due to Shaft and Rotor Irregularities
    Bearing Noise
    Noise Due to Toothed Gear Trains
    Aerodynamic Noise
    Mechanical Noise Generated by the Load
    ACOUSTIC AND VIBRATION INSTRUMENTATION
    Measuring System and Transducers
    Measurement of Sound Pressure
    Acoustic Measurement Procedure
    Vibration Measurements
    Frequency Analyzers
    Sound Power and Sound Pressure
    Indirect Methods of Sound Power Measurement
    Direct Method of Sound Power Measurement: Sound Intensity Technique
    Standard for Testing Acoustic Performance of Rotating Electrical Machines
    NUMERICAL ANALYSIS
    Introduction
    FEM Model for Radial Magnetic Pressure
    FEM for Structural Modeling
    BEM for Acoustic Radiation
    Discussion
    STATISTICAL ENERGY ANALYSIS
    Introduction
    Power Flow Between Linearly Coupled Oscillators
    Coupled Multimodal Systems
    Experimental SEA
    Application to Electrical Motors
    NOISE CONTROL
    Mounting
    Standard Methods of Noise Reduction
    Active Noise and Vibration Control
    APPENDIX A: BASICS OF ACOUSTICS
    Sound Field Variables and Wave Equations
    Sound Radiation from a Point Source
    Decibel Levels and Their Calculations
    Spectrum Analysis
    APPENDIX B: PERMEANCE OF NONUNIFORM AIR GAP
    Permeance Calculation
    Eccentricity Effect
    APPENDIX C: MAGNETIC SATURATION
    APPENDIX D: BASICS OF VIBRATION
    A Mass-Spring-Damper Oscillator
    Lumped Parameter Systems
    Continuous Systems
    SYMBOLS AND ABBREVIATIONS
    BIBLIOGRAPHY
    INDEX

    Biography

    Gieras, Jacek F.; Wang, Chong; Lai, Joseph Cho

    "The presented book has a strong monograph attributes and the description of technical material is in the form of tutorials and technology overviews, combining fundamentals and advanced material. …The book is an attractive reference book for research, consulting and development engineers who are interested in design of modern electrical machines. Also, it can be used for advanced senior-level course as well as partially in undergraduate course in university."
    -IEEE Industrial Electronics Society Newsletter, Vol. 54, No. 2, June 2006

    "Showing the strong relation between the mechanical vibration and the acoustics is particularly a great value of this book . . . represents the highest level of the theoretical explanation across many relevant areas including the electromagnetic field theory, the physics and the acoustics . . . a valuable reference book for those working with the noise of motors and the noise control in general."

    – Dr. Laszlo Timar-Peregrin, in Acoustics Australia, December 2007