P r o t e c t i v e R e l a y P r i n c i p l e s © 2009 by Taylor & Francis Group, LLC P r o t e c t i v e R e l a y P r i n c i p l e s Anthony F. Sleva Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business © 2009 by Taylor & Francis Group, LLC CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2009 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number-13: 978-0-8247-5372-6 (Hardcover) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher can- not assume responsibility for the validity of all materials or the consequences of their use. 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CCC is a not-for-profit organization that pro- vides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging-in-Publication Data Sleva, Anthony F. Protective relay principles / Anthony F. Sleva. p. cm. Includes bibliographical references and index. ISBN 978-0-8247-5372-6 (alk. paper) 1. Protective relays. I. Title. TK2861.S49 2009 621.31’7--dc22 2008040966 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com © 2009 by Taylor & Francis Group, LLC Contents Preface ..............................................................................................................xiii Author ................................................................................................................xv Acknowledgments ........................................................................................xvii 1. Power System Components .....................................................................1 1.1 Transmission Lines ..........................................................................1 1.2 Distribution Lines ............................................................................5 1.3 Transformers ...................................................................................10 1.4 Circuit Breakers ..............................................................................15 1.5 Buses ................................................................................................16 1.6 Switchyards .....................................................................................18 1.7 Fuses.................................................................................................19 1.8 Substations ......................................................................................22 1.9 Reclosers ..........................................................................................23 1.10 Generators .......................................................................................24 2. Power System Subcomponents .............................................................27 2.1 Current Transformers ....................................................................27 2.2 Voltage Transformers .....................................................................31 2.3 Capacitive Coupled Voltage Transformers .................................32 2.4 Protective Relays ............................................................................34 2.5 Control Relays.................................................................................34 2.6 Master Trip Relays .........................................................................35 2.7 Programmable Logic Controllers ................................................35 2.8 Insulators .........................................................................................35 2.9 Bushings ..........................................................................................36 2.10 Cable Terminators ..........................................................................36 2.11 Disconnect Switches ......................................................................36 2.12 Air Break Switches .........................................................................38 2.13 Motor-Operated Air Break Switches ...........................................38 2.14 Ground Switches ............................................................................39 2.15 Surge Arrestors ...............................................................................39 2.16 Sectionalizers ..................................................................................40 2.17 Batteries ...........................................................................................40 3. Abnormal Power System Conditions ..................................................41 3.1 Short Circuits ..................................................................................41 3.1.1 Three-Phase Faults............................................................42 3.1.2 Phase-to-Phase Faults .......................................................44 3.1.3 Double Phase-to-Ground Faults .....................................44 3.1.4 Single Phase-to-Ground Faults .......................................45 v © 2009 by Taylor & Francis Group, LLC vi Contents 3.1.5 Turn-to-Turn Faults ...........................................................47 3.1.6 Winding-to-Winding Faults ............................................47 3.1.7 Winding-to-Ground Faults ..............................................47 3.1.8 Plate-to-Plate Faults ..........................................................47 3.2 Overloads ........................................................................................48 3.3 Overvoltage .....................................................................................48 3.4 Undervoltage...................................................................................49 3.5 Overfrequency ................................................................................49 3.6 Underfrequency .............................................................................50 3.7 Open Phase .....................................................................................51 3.8 Single Phasing ................................................................................51 3.9 Phase Unbalance ............................................................................52 3.10 Volts per Hertz ................................................................................54 4. Short-Circuit Calculations .....................................................................57 4.1 Symmetrical Components ............................................................57 4.2 Positive Sequence Networks .........................................................59 4.3 Negative Sequence Networks.......................................................60 4.4 Zero Sequence Networks ..............................................................60 4.5 Operators .........................................................................................61 4.6 Sequence Diagram Connections—Three-Phase Faults ............63 4.7 Sequence Diagram Connections—Phase-to-Phase Faults .......64 4.8 Sequence Diagram Connections—Single Phase-to- Ground Faults .................................................................................65 4.9 Per-Unit Quantities ........................................................................65 4.10 Sample Calculations ......................................................................67 4.11 Sample Calculations—Three-Phase Faults .................................68 4.12 Sample Calculations—Phase-to-Phase Faults ............................69 4.13 Sample Calculations—Single Phase-to-Ground Faults ............71 4.14 Sample Calculations—Mutual Coupling ....................................74 5. Protective Relay Functions ....................................................................79 5.1 Time Overcurrent Relay (51) .........................................................80 5.2 Instantaneous Overcurrent Relay (50) ........................................82 5.3 Overvoltage Relay (59) ...................................................................83 5.4 Undervoltage Relay (27) ................................................................85 5.5 Distance Relay (21) .........................................................................86 5.6 Differential Relay (87) ....................................................................88 5.7 Directional Relay (67) ....................................................................89 5.8 Underfrequency Relay (81) ............................................................90 5.9 Overfrequency Relay (81) ..............................................................91 6. Protective Relay Functional Combinations .......................................93 6.1 Voltage-Controlled Time Overcurrent Relay .............................93 6.2 Torque-Controlled Time Overcurrent Relay ..............................94 © 2009 by Taylor & Francis Group, LLC Contents vii 6.3 Logic-Controlled Instantaneous Overcurrent Relay ................94 6.4 Torque-Controlled Instantaneous Overcurrent Relay ..............95 6.5 Logic-Controlled Overvoltage Relay ...........................................95 6.6 Logic-Controlled Undervoltage Relay ........................................95 6.7 Logic-Controlled Distance Relay .................................................96 6.8 Current-Supervised Distance Relay ............................................96 6.9 Logic-Supervised Differential Relay ...........................................96 6.10 Current-Supervised Differential Relay .......................................97 6.11 Current-Supervised Underfrequency Relay ..............................97 6.12 Dual Underfrequency Relays .......................................................97 7. Zones and Regions of Protection .........................................................99 7.1 Zones of Protection ........................................................................99 7.1.1 Relay Characteristics and Applied Setpoint ...............101 7.1.1.1 Overcurrent Relays .........................................101 7.1.1.2 Distance Relays ................................................102 7.1.1.3 Differential Relays ...........................................103 7.1.2 Instrument Transformer Location, Connection, Polarity, and Ratio ...........................................................103 7.1.2.1 Overcurrent Relays .........................................103 7.1.2.2 Distance Relays ................................................104 7.1.2.3 Differential Relays ...........................................104 7.1.3 Control Scheme Logic ....................................................105 7.1.4 Power System Configuration .........................................105 7.2 Regions of Protection ....................................................................111 7.2.1 Relay Characteristics and Applied Setpoint ................113 7.2.1.1 Overvoltage Relays...........................................113 7.2.1.2 Undervoltage Relays ........................................115 7.2.1.3 Underfrequency Relays ...................................115 7.2.1.4 Overfrequency Relays .....................................116 7.2.1.5 Unbalanced Voltage Relays .............................117 7.2.2 Instrument Transformer Location, Connection, Polarity, and Ratio ............................................................117 7.2.2.1 Overvoltage Relays...........................................117 7.2.2.2 Undervoltage Relays ........................................117 7.2.2.3 Underfrequency Relays ...................................117 7.2.2.4 Overfrequency Relays .....................................117 7.2.2.5 Unbalanced Voltage Relays .............................118 7.2.3 Control Scheme Logic .....................................................118 7.2.4 Power System Configuration ..........................................118 8. Physical Characteristics of Protective Relays ..................................123 8.1 Electromechanical Relays ...........................................................123 8.2 Solid-State Relays .........................................................................125 8.3 Microprocessor-Based Relays .....................................................126 © 2009 by Taylor & Francis Group, LLC viii Contents 8.4 Relay Operation ............................................................................126 8.5 Relay Packaging ...........................................................................127 9. Setting Considerations .........................................................................131 9.1 Power System Configuration and Operation ...........................131 9.1.1 Mutual Coupling .............................................................133 9.1.2 Ground Bank Action ......................................................135 9.2 Power System Requirements ......................................................140 9.3 Maximum Short-Circuit Current—Fault in Protected Zone ................................................................................................141 9.4 Maximum Relay Short-Circuit Current—Fault in Adjacent Zone ...............................................................................142 9.5 Minimum Relay Short-Circuit Current—Fault in Protected Zone..............................................................................142 9.6 Fault Current Ratio ......................................................................143 9.7 Relay Sensitivity ...........................................................................145 9.8 Circuit Loading ............................................................................146 9.9 Relay Coordination ......................................................................151 9.10 Directionality ................................................................................152 9.11 Accuracy of Calculations ............................................................153 9.12 Device Accuracy ...........................................................................154 9.13 Circuit-Breaker Operating Times ..............................................155 9.14 Transient Overreach ....................................................................155 9.15 Cold Load Inrush .........................................................................157 9.16 Redundancy ..................................................................................159 9.17 Relay Drift .....................................................................................159 9.18 Security ..........................................................................................160 9.19 Arc Flash Hazard .........................................................................160 9.20 Circuit Breaker-Failure Detection and Isolation.......................161 9.21 Free-Standing CT Flashover Detection ......................................162 9.22 Switchable Settings .......................................................................162 9.23 Recovery Voltage Inrush ..............................................................162 10. Protection and Control Schemes ........................................................163 10.1 Alternative Protective Relay Trip Logic ....................................171 10.2 Supervised Protective Relay Logic ............................................173 11. Protective Relay Coordination ............................................................175 11.1 Instantaneous Current Relays ....................................................175 11.2 Time Overcurrent Relays .............................................................176 11.2.1 Maximum Current Flow with Normal Fault Clearing .............................................................................176 11.2.2 Maximum Current Flow When a Remote Circuit Breaker Fails to Open .....................................................177 © 2009 by Taylor & Francis Group, LLC Contents ix 11.2.3 Maximum Ratio of Through Current for Restricted Faults on Each Remote Line .......................177 11.2.4 Maximum Ratio of Through Current for Restricted Faults on Each Remote Line and Remote Circuit Breaker Fails to Open .........................178 11.3 Instantaneous Voltage Relays .....................................................178 11.4 Time-Delayed Voltage Relays .....................................................179 11.5 Instantaneous (Zone 1) Impedance Relays ...............................179 11.6 Time-Delayed (Zone 2 or Zone 3) Impedance Relays .............180 11.7 Instantaneous Frequency Relays ...............................................180 11.8 Time-Delayed Frequency Relays ...............................................181 12. Distribution-Line Protection: Radial Lines .....................................183 12.1 Distribution-Line Protection Philosophy .................................184 12.1.1 Time Overcurrent Phase Relays ...................................185 12.1.2 Instantaneous Overcurrent Phase Relays ...................185 12.1.3 Time Overcurrent Ground Relays ................................185 12.1.4 Instantaneous Overcurrent Ground Relays ................186 12.2 Setpoint Margin Considerations ................................................186 12.3 Distribution-Line Protection ......................................................188 12.4 Time Overcurrent Phase Relay Pickup Setting—Load Capability ......................................................................................191 12.5 Time Overcurrent Ground Relay Pickup Setting—Load Capability ......................................................................................191 12.6 Low Set Instantaneous Overcurrent Phase Relay Pickup Setting ............................................................................................192 12.7 Low-Set Instantaneous Overcurrent Ground Relay Pickup Setting ..............................................................................192 12.8 High-Set Instantaneous Overcurrent Phase Relay Pickup Setting ............................................................................................193 12.9 High-Set Instantaneous Overcurrent Ground Relay Pickup Setting ..............................................................................196 12.10 Time Overcurrent Phase Relay Pickup Setting— Sensitivity Check ..........................................................................197 12.11 Time Overcurrent Phase Relay Pickup Setting—Time Delay ..............................................................................................197 12.12 Time Overcurrent Phase Relay Pickup Setting— Upstream Coordination ..............................................................204 12.13 Time Overcurrent Ground Relay Pickup Setting— Sensitivity Check ..........................................................................205 12.14 Time Overcurrent Ground Relay Pickup Setting—Time Delay ..............................................................................................206 12.15 Time Overcurrent Relay Ground Pickup Setting— Upstream Coordination ..............................................................207 © 2009 by Taylor & Francis Group, LLC x Contents 13. Distribution-Line Protection: Network Lines .................................213 13.1 Networked Distribution-Line Protection Philosophy .............214 13.1.1 Time Overcurrent Phase Relays ....................................214 13.1.2 Definite Time Overcurrent Phase Relays ....................215 13.1.3 Instantaneous Overcurrent Phase Relays ...................215 13.1.4 Time Overcurrent Ground Relays ................................215 13.1.5 Definite Time Overcurrent Ground Relays .................215 13.1.6 Instantaneous Overcurrent Ground Relays ................215 13.2 Setpoint Margin Considerations .................................................216 13.3 Distribution-Line Protection ......................................................218 13.4 Time Overcurrent Phase Relay Pickup Setting—Load Capability ......................................................................................218 13.5 Time Overcurrent Ground Relay Pickup Setting—Load Capability ......................................................................................221 13.6 Instantaneous Overcurrent Phase Relay Pickup Setting .......221 13.7 Instantaneous Overcurrent Ground Relay Pickup Setting ....224 13.8 Definite Time Overcurrent Phase Relay Pickup Setting ........225 13.9 Definite Time Overcurrent Ground Relay Pickup Setting ....225 13.10 Time Overcurrent Phase Relay Pickup Setting— Sensitivity Check ..........................................................................226 13.11 Time Overcurrent Phase Relay Pickup Setting—Time Delay ..............................................................................................226 13.12 Time Overcurrent Phase Relay Pickup Setting— Upstream Coordination ..............................................................227 13.13 Time Overcurrent Ground Relay Pickup Setting— Sensitivity Check ..........................................................................229 13.14 Time Overcurrent Ground Relay Pickup Setting—Time Delay ..............................................................................................231 13.15 Time Overcurrent Relay Ground Pickup Setting— Upstream Coordination ..............................................................231 14. Transmission-Line Protection .............................................................235 14.1 Phase Distance Relays .................................................................236 14.2 Ground Distance Relays ..............................................................246 14.3 Overcurrent Ground Relays .......................................................247 14.4 Instantaneous Overcurrent Ground Relays .............................250 14.5 Time Overcurrent Ground Relays .............................................251 14.6 Directional Unit Sensitivity for Ground Faults .......................254 14.7 Current-Polarized Ground Relays .............................................254 14.8 Voltage-Polarized Ground Relays ..............................................255 14.9 High-Speed Relaying Schemes ..................................................255 14.9.1 Permissive Overreaching Scheme ................................256 14.9.2 Directional Comparison Blocking Scheme .................257 14.9.3 Direct Underreaching Transfer Trip Schemes ............258 14.9.4 Direct Transfer Trip Schemes ........................................259 © 2009 by Taylor & Francis Group, LLC
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