Non-destructive Diagnostic of High Voltage Electrical Systems: Theoretical Analysis and Practical Applications RIVER PUBLISHERS SERIES IN ENERGY ENGINEERING AND SYSTEMS Series Editors BOBBY RAUF Semtrain, LLC, USA The “River Publishers Series in Energy Engineering and Systems” is a series of comprehensive academic and professional books focussing on the theory and applications behind various energy-related technolo gies and control systems. The series features handbooks for related technology, as well as manuals on the fundamentals and theoretical aspects of energy engineering projects. The main aim of this series is to be a reference for academics, researchers, managers, engineers, and other professionals in related matters with energy engineering and control systems. Topics covered in the series include, but are not limited to: • Energy engineering; • Machinery; • Testing; • HVAC; • Electricity and electronics; • Water systems; • Industrial control systems; • Web based systems; • Automation; • Lighting controls. For a list of other books in this series, visit www.riverpublishers.com Non-destructive Diagnostic of High Voltage Electrical Systems: Theoretical Analysis and Practical Applications Josef Vedral Czech Technical University in Prague, Czech Republic River Publishers Published 2023 by River Publishers River Publishers Alsbjergvej 10, 9260 Gistrup, Denmark www.riverpublishers.com Distributed exclusively by Routledge 605 Third Avenue, New York, NY 10017 4 Park Square, Milton Park, Abingdon, Oxon OX14 4RN Non-destructive Diagnostic of High Voltage Electrical Systems: Theoretical Analysis and Practical Applications / Josef Vedral. ©2023 River Publishers. All rights reserved. No part of this publication may be reproduced, stored in a retrieval systems, or transmitted in any form or by any means, mechanical, photocopying, recording or otherwise, without prior written permission of the publishers. Routledge is an imprint of the Taylor & Francis Group, an informa business ISBN 978-87-7022-802-2 (print) ISBN 978-10-0088-138-7 (online) ISBN 978-1-003-39419-8 (ebook master) While every effort is made to provide dependable information, the publisher, authors, and editors cannot be held responsible for any errors or omissions. Contents Preface xiii List of Figures xv List of Tables xxv List of Abbreviations xxvii 1 Introduction 1 2 General View on Diagnostics of Electrical Machines 5 2.1 Diagnosed Object . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Online and Offline Diagnostic . . . . . . . . . . . . . . . . . 7 2.2.1 Offline diagnostic . . . . . . . . . . . . . . . . . . . 8 2.2.2 Online diagnostic . . . . . . . . . . . . . . . . . . . 9 2.3 Forecast of the Condition of the Diagnosed Device . . . . . . 10 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3 Diagnostics of Mechanical Parts of HV Machines 13 3.1 Measuring Machine Vibration . . . . . . . . . . . . . . . . . 13 3.1.1 Types of vibrations and vibrodiagnostic quantities . . 13 3.1.2 Vibrometer sensors . . . . . . . . . . . . . . . . . . 15 3.1.2.1 Deflection sensors . . . . . . . . . . . . . . 17 3.1.2.2 Speed sensors . . . . . . . . . . . . . . . . 18 3.1.2.3 Acceleration sensors . . . . . . . . . . . . . 19 3.1.3 Analysis of vibrometric signals . . . . . . . . . . . . 24 3.1.3.1 Analysis of vibrometric signals in the time domain . . . . . . . . . . . . . . . . . . . . 24 3.1.3.2 Analysis of vibrometric signals in the frequency domain . . . . . . . . . . . . . . 25 3.2 Torsional Oscillation of Shafts . . . . . . . . . . . . . . . . 33 3.2.1 Causes of shaft torsional oscillation . . . . . . . . . . 33 3.2.2 Measurement of shaft torsional oscillation . . . . . . 35 v vi Contents 3.3 Measurement of Temperature Images of Electrical Machines 37 3.3.1 Contact temperature sensors . . . . . . . . . . . . . . 39 3.3.2 Non-contact temperature sensors . . . . . . . . . . . 45 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Author Queries . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 4 Insulation Systems of HV Electric Machines 49 4.1 Electrical Properties of Insulators . . . . . . . . . . . . . . . 49 4.1.1 Electrical strength of insulators . . . . . . . . . . . . 49 4.1.1.1 Electrical strength of gaseous insulators . . 49 4.1.1.2 Electrical strength of liquid insulators . . . . 54 4.1.1.3 Electrical strength of solid insulators . . . . 57 4.1.2 Electrical conductivity of insulators . . . . . . . . . . 59 4.1.2.1 Electrical conductivity of gaseous insulators. . . . . . . . . . . . . . . . . . . 60 4.1.2.2 Electrical conductivity of liquid insulators. . . . . . . . . . . . . . . . . . . 60 4.1.2.3 Electrical conductivity of solid insulators. . . . . . . . . . . . . . . . . . . 63 4.1.3 Polarization of insulators . . . . . . . . . . . . . . . 64 4.1.4 Dielectric losses in insulators . . . . . . . . . . . . . 66 4.1.4.1 Dielectric losses in gaseous insulators . . . 67 4.1.4.2 Dielectric losses in liquid insulators . . . . . 68 4.1.4.3 Dielectric losses in solid insulators . . . . . 68 4.2 Types of Insulators . . . . . . . . . . . . . . . . . . . . . . 69 4.2.1 Gaseous insulators . . . . . . . . . . . . . . . . . . . 70 4.2.2 Liquid insulators . . . . . . . . . . . . . . . . . . . . 71 4.2.3 Solid insulators . . . . . . . . . . . . . . . . . . . . 74 4.3 Electrical Stress on Insulators . . . . . . . . . . . . . . . . . 76 4.3.1 Stress on plate insulators . . . . . . . . . . . . . . . 77 4.3.2 Stress on cylindrical insulators . . . . . . . . . . . . 78 4.4 Degradation of Isolators . . . . . . . . . . . . . . . . . . . . 80 4.4.1 Mechanical aging . . . . . . . . . . . . . . . . . . . 81 4.4.2 Thermal aging . . . . . . . . . . . . . . . . . . . . . 81 4.4.3 Electrical aging . . . . . . . . . . . . . . . . . . . . 84 4.4.4 Combined aging . . . . . . . . . . . . . . . . . . . . 86 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 Contents vii 5 Measurement of Properties of Insulation Systems of HV Electrical Machines 91 5.1 Measurement of Insulation Current and Resistance . . . . . . 91 5.2 Measurement of Capacity and Loss Factor . . . . . . . . . . 93 5.2.1 Measurement of capacity and loss factor by the HV Schering bridge . . . . . . . . . . . . . . . . . . 95 5.2.2 Measurement of capacitance and loss factor of HV impedance meters . . . . . . . . . . . . . . . . . 97 5.2.3 Measurement of frequency dependence of capacity and loss factor . . . . . . . . . . . . . . . . 102 5.3 Measurement of Dielectric Absorption of Insulation Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 6 Partial Discharges in Insulating Systems of HV Electric Machines 109 6.1 Formation and Types of Partial Discharges . . . . . . . . . . 109 6.2 Partial Discharge Parameters . . . . . . . . . . . . . . . . . 112 6.3 Partial Discharge Models . . . . . . . . . . . . . . . . . . . 117 6.3.1 Model of external and surface partial discharges . . . 117 6.3.2 Gemant–Philippoff model of internal partial discharges . . . . . . . . . . . . . . . . . . . . . . . 118 6.3.3 Bönings model of internal partial discharges . . . . . 121 6.4 Effect of Partial Discharges on the Insulation Systems of HV Machines . . . . . . . . . . . . . . . . . . . . . . . . . 123 6.4.1 Electro-erosive effects of partial discharges . . . . . . 124 6.4.2 Chemical effects of partial discharges . . . . . . . . . 124 6.4.3 Thermal effects of partial discharges . . . . . . . . . 125 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 7 Measurement and Detection of Partial Discharges 129 7.1 Electrical Methods Measurement and Detection of Partial Discharges . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 7.1.1 Properties of partial discharge current pulses . . . . . 129 7.1.2 Galvanic methods for measuring partial discharges . . . . . . . . . . . . . . . . . . . . . . . 131 7.1.2.1 Coupling capacitors . . . . . . . . . . . . . 134 7.1.2.2 Coupling impedance . . . . . . . . . . . . . 134 viii Contents 7.1.3 Measurement of partial discharges . . . . . . . . . . 138 7.1.3.1 Measurement of partial discharges with oscilloscope . . . . . . . . . . . . . . . . . 139 7.1.3.2 Measurement of partial discharges by a peak detector . . . . . . . . . . . . . . . . . 139 7.1.3.3 Partial discharge meters with direct signal digitization . . . . . . . . . . . . . . . . . . 142 7.1.4 Charge calibration . . . . . . . . . . . . . . . . . . . 149 7.1.5 Measurement of partial discharges by current transformers . . . . . . . . . . . . . . . . . . 151 7.1.6 Measurement of partial discharges by inductive probes . . . . . . . . . . . . . . . . . . . . . . . . . 153 7.1.7 Measurement of partial discharges by capacitive probes . . . . . . . . . . . . . . . . . . . . . . . . . 156 7.2 Non-electrical Methods for the Detection of Partial Discharges . . . . . . . . . . . . . . . . . . . . . . . . . . . 159 7.2.1 Ultrasonic detection of partial discharges . . . . . . . 159 7.2.2 High-frequency detection of partial discharges . . . . 162 7.2.3 Optical partial discharges detection . . . . . . . . . . 166 7.2.4 Chemical detection of partial discharges . . . . . . . 167 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 8 Voltage Tests of HV Electric Machines 173 8.1 DC Voltage Tests . . . . . . . . . . . . . . . . . . . . . . . 173 8.2 AC Voltage Tests . . . . . . . . . . . . . . . . . . . . . . . . 173 8.3 Voltage Tests by Long-term Induced Voltage . . . . . . . . . 174 8.4 Impulse Voltage Tests . . . . . . . . . . . . . . . . . . . . . 174 8.4.1 Course of impulse voltage tests . . . . . . . . . . . . 175 8.4.2 Test pulses . . . . . . . . . . . . . . . . . . . . . . . 175 8.4.3 Generation of test voltage pulses . . . . . . . . . . . 178 8.4.3.1 Single-stage voltage shock generators . . . . 178 8.4.3.2 Multi-stage voltage shock generators . . . . 179 8.4.4 Voltage level impulse tests . . . . . . . . . . . . . . 181 8.4.4.1 Tests with a constant number of voltage levels . . . . . . . . . . . . . . . . . . . . 182 8.4.4.2 Up–down tests . . . . . . . . . . . . . . . 182 8.4.4.3 Phased stress tests . . . . . . . . . . . . . . 184 8.4.4.4 Statistical methods for the evaluation of level tests . . . . . . . . . . . . . . . . . . 186 8.5 Shock Wave Tests . . . . . . . . . . . . . . . . . . . . . . . 189 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 Contents ix 9 Diagnostics of Power Transformers 193 9.1 Types of Power Transformers . . . . . . . . . . . . . . . . . 193 9.2 Properties of Transformers . . . . . . . . . . . . . . . . . . 194 9.3 Diagnostics of Electrical Properties of Power Transformers . . . . . . . . . . . . . . . . . . . . . . . . . . 197 9.3.1 Measurement of active winding resistance . . . . . . 198 9.3.2 Checking the sequence and rotation of the phases . . 200 9.3.3 Measurement of transmission, voltage, and no-load losses . . . . . . . . . . . . . . . . . . . . . 202 9.3.4 Measurement of short-circuit voltages and losses . . . 204 9.3.5 Measuring the efficiency of transformers . . . . . . . 205 9.3.6 Measurement of insulation resistance, polarization index, and transformer time constant . . . . . . . . . 210 9.3.7 Measurement of loss factor and winding capacity . . 211 9.3.8 Winding fault detection . . . . . . . . . . . . . . . . 215 9.4 Diagnostics of Transformer Oil Properties . . . . . . . . . . 220 9.4.1 Measurement of electrical properties of transformer oils . . . . . . . . . . . . . . . . . . . . 221 9.4.1.1 Measurement of breakdown voltage at mains frequency . . . . . . . . . . . . . . . 221 9.4.1.2 Measurement of relative permittivity and loss factor . . . . . . . . . . . . . . . . . . 222 9.4.1.3 Measurement of internal resistivity of transformer oils . . . . . . . . . . . . . . . 224 9.4.2 Measurement of physical properties of transformer oils . . . . . . . . . . . . . . . . . . . . 225 9.4.2.1 Transformer oil color measurement . . . . . 225 9.4.2.2 Transformer oil density measurement . . . . 225 9.4.2.3 Measuring the viscosity of transformer oils . . 227 9.4.2.4 Measurement of flash and combustion temperatures . . . . . . . . . . . . . . . . . 228 9.4.2.5 Freezing temperature measurement . . . . . 228 9.4.3 Measurement of chemical properties of transformer oils . . . . . . . . . . . . . . . . . . . . 229 9.4.3.1 Water content measurement . . . . . . . . . 229 9.4.3.2 Oil acid measurement . . . . . . . . . . . . 231 9.4.3.3 Measurement of the presence of sulfur . . . 232 9.4.3.4 Content of polycyclic aromatics and polychlorinated biphenyls . . . . . . . . . . 232 9.4.3.5 Gas content measurement . . . . . . . . . . 232 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233