Fault Diagnosis, Prognosis, and Reliability for Electrical Machines and Drives. Abdenour Soualhi
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       Elias G. Strangas

       Michigan State UniversityEast Lansing, Michigan

       Guy Clerc

       University of LyonVilleurbanne, France

       Hubert Razik

       University of LyonVilleurbanne, France

       Abdenour Soualhi

       University of LyonSaint Etienne, France

      © 2022 by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

      Edition History

      Published by John Wiley & Sons, Inc., Hoboken, New Jersey.

      Published simultaneously in Canada

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      Library of Congress Cataloging-in-Publication Data

      A catalogue record for this book is available from the Library of Congress

      Hardback ISBN: 9781119722755; ePub ISBN: 9781119722786; ePDF ISBN: 9781119722809;

      oBook ISBN: 9781119722823.

      Cover image: © Sandipkumar Patel/Getty

      Cover design by Wiley

      Set in 9.5/12.5pt STIXTwoText by Integra Software Services Pvt. Ltd, Pondicherry, India

      1  Cover

      2  Title page

      3  Copyright

      4  Dedication

      5  Contributors

      6  Acknowledgments

      7  Acronyms

      8  Introduction

      9 1 Basic Methods and Tools1.1 General Approach1.2 Feature Extraction: Signal and Preconditioning1.2.1 Raw Signals: What Kind of Signals and Sensors?1.2.1.1 Current Sensors1.2.1.2 Vibration Measurement and Accelerometers1.2.1.3 Temperature Sensors1.2.1.4 Field Sensors1.2.1.5 Acoustic Sensors1.2.1.6 Other Sensors1.2.2 Preconditioning1.2.2.1 Signal Features in the Time Domain1.2.2.2 Symmetric Component, Park Component1.2.2.3 Symmetric Component, Park Component1.2.2.4 Signal Features in the Frequency Domain1.2.2.5 Wavelet Analysis1.2.2.6 Instantaneous Amplitude and Frequency1.2.2.7 Bilinear Time–frequency Distributions or Quadratic Time–frequency Distributions: Cohen’s Class1.2.2.7.a Uncertainty Principle of Heisenberg1.2.2.7.b General Representation1.2.2.7.c Properties1.2.2.7.d Different Representations1.2.2.8 Statistic Features1.2.2.9 Cyclostationarity1.2.3 Model Approach1.2.3.1 Kalman Observer1.2.3.2 Extended Observer1.2.3.3 Unscented Kalman Filter1.2.4 Parity Space1.3 Feature Reduction, Principal Component Analysis1.3.1 Principal Component Analysis: A Space Reduction and an Unsupervised Classification1.3.2 Intercorrelation1.3.2.1 Pearson Coefficient “r”1.3.2.2 Spearman Coefficient “ b ”1.3.3 Information Content: Shannon Entropy1.3.4 Pattern Sizing Reduction for a Supervised Classification1.3.4.1 Selection Criteria1.3.4.2 Sequential Backward Feature Selection and Sequential Forward Feature Selection1.3.5 Pattern Sizing Reduction for an Unsupervised Classification: Laplacian Score1.3.6 Choice of the Number of Classes for an Unsupervised Classification1.3.6.1 Choice of the Number of Classes with a PCA1.3.6.2 General Case1.3.7 Other Quality Criteria of a Classification1.3.7.1 R2 index1.3.7.2 Calinski–Harabasz Index1.3.7.3 Davies–Bouldin Index1.3.7.4 Silhouette Index1.3.7.5 Dunn Index1.4 Classification Methods1.4.1 Generalities1.4.1.1 Supervised and Unsupervised Clustering1.4.1.2 Measuring the Similarity: Different Distances1.4.2 Supervised Clustering1.4.2.1 k Nearest Neighbors1.4.2.2 Support Vector Machine1.4.2.3 Recurrent Neural Network1.4.3 Unsupervised Clustering1.4.3.1 Hierarchical Classification1.4.3.2 K-means and Centroid Clustering1.4.3.3 Self-organizing Map1.5 Prognosis Methods1.5.1 Prognosis Process1.5.2 Time Series Extrapolation Methods1.5.3 Bayesian Inference1.5.4 Markov Chain1.5.5 Hidden Markov Models1.5.6 Rainflow1.5.6.1 Hidden Semi-Markov ModelsReferences

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