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Second Edition Power Electronics Devices and Circuits V Jagannathan Power Electronics Devices and Circuits SECOND EDITION V Jagannathan Professor and Head Department of Electrical and Electronics Engineering Coimbatore Institute of Technology Coimbatore New Delhi-110001 2011 POWER ELECTRONICS: Devices and Circuits, Second Edition V Jagannathan © 2011 by PHI Learning Private Limited, New Delhi All rights reserved No part of this book may be reproduced in any form, by mimeograph or any other means, without permission in writing from the publisher ISBN-978-81-203-4196-8 The export rights of this book are vested solely with the publisher Seventh Printing (Second Edition) L L November, 2010 Published by Asoke K Ghosh, PHI Learning Private Limited, M-97, Connaught Circus, New Delhi-110001 and Printed by Baba Barkha Nath Printers, Bahadurgarh, Haryana-124507 Contents Preface xi Introduction 1–19 1.1 1.2 1.3 1.4 1.5 1.6 What is Power Electronics? History Power Electronics Applications Power Semiconductor Devices and Their Classifications Power Semiconductor Devices: Characteristics and Ratings Ideal and Real Switches: Comparison of Characteristics 1.6.1 Ideal Switch Characteristics 1.6.2 Desirable Characteristics of a Real Switch 1.6.3 Power Loss Characteristics of an Ideal Switch 1.6.4 Power Loss Characteristics in a Real Switch 1.7 Power Electronic Systems 10 1.8 Types of Power Electronic Circuits/Converters 11 1.9 Merits and Demerits of Power Electronic Converters 12 1.10 Recent Developments 12 Summary 13 Solved Examples 14 Review Questions 18 Problems 18 Power Switching Devices and their Characteristics 2.1 2.2 Preliminaries 20 Power Diodes 20 2.2.1 Diode V–I Characteristics 21 2.2.2 Diode Reverse Recovery Characteristics 22 2.2.3 Types and Ratings of Power Diodes 22 2.2.4 Series and Parallel Operation of Diodes 23 iii 20–108 iv 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 2.13 Contents Thyristors 24 2.3.1 Structure, Symbol, and V–I Characteristics 24 2.3.2 Transistor Analogy 26 2.3.3 Thyristor Turn-on Methods 27 2.3.4 Thyristor Turn-off Methods 30 Switching Characteristics of Thyristors 30 2.4.1 Switching Characteristics during Turn-on 30 2.4.2 Switching Characteristics during Turn-off 32 Thyristor Gate Characteristics 33 Thyristor Commutation Methods 35 2.6.1 Natural Commutation 35 2.6.2 Forced Commutation 35 Thyristor Protection 39 2.7.1 Over Voltage Protection 40 2.7.2 Suppression of Overvoltages 40 2.7.3 Overcurrent Protection 41 2.7.4 Snubber Circuits 44 Thyristor Ratings 44 2.8.1 Anode Voltage Ratings 45 2.8.2 Current Ratings 46 2.8.3 Surge Current Rating 49 2.8.4 I2t Rating 49 2.8.5 di/dt Rating 50 Series and Parallel Operation of Thyristors 50 2.9.1 Series Operation 51 2.9.2 Parallel Operation 53 Triggering of Thyristors 55 2.10.1 Triggering of Thyristors in Series 55 2.10.2 Triggering of Parallel Connected SCRs 57 Heat Sinks, Heating, Cooling and Mounting of Thyristors 2.11.1 Thermal Resistance 58 2.11.2 Thyristor Heat Sinks 59 Thyristor Trigger Circuits 59 2.12.1 RC Firing Circuits 59 2.12.2 Synchronized UJT Triggering (or Ramp Triggering) 2.12.3 Ramp and Pedestal Triggering 62 2.12.4 Pulse Transformers 63 Other Thyristor Devices 64 2.13.1 TRIAC 64 2.13.2 DIAC 65 2.13.3 LASCR 66 2.13.4 Programmable Unijunction Transistor (PUT) 67 2.13.5 Silicon Unilateral Switch (SUS) 67 2.13.6 Reverse Conducting Thyristor (RCT) 67 2.13.7 GTO (Gate-Turn-Off) Thyristor 68 57 61 Contents 2.14 Power Transistors 73 2.14.1 Bipolar Junction Transistor (BJT) 73 2.15 Power MOSFET 78 2.16 Comparison of MOSFET and BJT 82 2.17 Insulated Gate Bipolar Transistor (IGBT) 82 2.17.1 Basic Structure 83 2.17.2 Equivalent Circuit 84 2.17.3 Operation Models 85 2.17.4 Output Characteristics 85 2.17.5 Transfer Characteristics 86 2.17.6 Switching Characteristics 86 2.17.7 Latch-up 87 2.17.8 Safe Operating Area (SOA) 87 2.17.9 Applications 87 2.18 MOS Controlled Thyristor (MCT) 88 2.19 Typical Rating of High Power Devices 88 2.20 Driver Circuits for Gate Commutation Devices 2.20.1 GATE Drive Circuits for Power MOSFET 2.20.2 Driver Circuits for MOSFET 90 2.20.3 Driver Circuits for IGBT 91 2.20.4 Base-Drive Circuits for Power BJT 92 2.20.5 GATE Drive Circuits for GTO 92 Solved Examples 93 Review Questions 104 Problems 108 89 89 AC to DC Converters 3.1 3.2 3.3 v Preliminaries 109 The Principle of Phase Control 110 Converter Classifications 113 3.3.1 Single-phase Half Wave Thyristor Rectifier with RL Load 114 3.3.2 Single-phase Half Wave Thyristor Rectifier with RL Load and Free-wheeling Diode 116 3.3.3 Single-phase Half Wave Thyristor Rectifier with RLE Load 117 3.4 Single-phase Full Wave Thyristor Converters 118 3.4.1 Single-phase Full Wave Mid-point Thyristor Converter 118 3.5 Single-phase Full Wave Bridge Converters 120 3.5.1 Single-phase Bridge Rectifier Connected to Resistance Load 120 3.5.2 Series RL Load 121 3.5.3 RL Load with Free-wheeling Diode 122 3.6 Full Wave Bridge Rectifier Feeding RLE Load 122 3.7 Single-phase Semi-converter 124 3.8 Calculation of Active and Reactive Power Inputs 125 3.9 Effect of Load Inductance 127 3.10 Three-phase Thyristor Converter Circuits 127 3.10.1 Three-phase Half Wave Converter 128 109–166 vi Contents 3.10.2 Three-phase Full Converters 129 3.10.3 Line Commutated Three-phase Inverter 133 3.10.4 Three-phase Semi-converters 134 3.11 Effect of Source Impedance on the Performance of Converters 3.11.1 Single-phase Full Converter 136 3.11.2 Three-phase Full Converter Bridge 138 3.12 Dual Converters 139 3.12.1 Dual Converter without Circulating Current 141 3.12.2 Dual Converter with Circulating Current 141 3.13 Single Phase Series Converters 142 3.13.1 Two Semiconverters in Series 142 3.13.2 Two Single Phase Full Converters in Series 144 3.13.3 Twelve-pulse Converters 146 3.14 Gating Circuits 147 3.15 Cosine Firing Scheme 147 Solved Examples 149 Review Questions 161 Problems 164 135 AC to AC Converters 167–196 4.1 4.2 Preliminaries 167 AC Voltage Controllers 167 4.2.1 Types of AC Voltage Controllers 168 4.3 Methods of Voltage Control 170 4.3.1 Single-phase AC Voltage Controller Supplying R Loads (Phase Control) 170 4.3.2 Single-phase AC Voltage Controller Supplying R Loads (Integral Cycle Control) 172 4.4 Single-phase Voltage Controller Supplying RL Loads 173 4.5 Three-phase AC Voltage Controller 176 4.6 Single-phase Transformer Tap Changer 178 4.7 Cycloconverters 180 4.7.1 Principle of Operation 181 4.7.2 Single-phase to Single-phase Cycloconverter Feeding RL Load 4.7.3 Three-phase to Single-phase Cycloconverters 184 4.7.4 Three-phase to Three-phase Cycloconverter 187 4.8 Output Voltage Equation 188 4.9 Effect of Source Inductance 189 Solved Examples 190 Review Questions 194 Problems 195 DC to DC Converters (Choppers) 5.1 5.2 Preliminaries 197 Principle of Chopper Operation 183 197–248 197 Contents vii 5.3 Control Schemes 199 5.3.1 Constant Frequency Scheme 199 5.3.2 Variable Frequency Scheme 199 5.3.3 Current Limit Control (CLC) 200 5.4 Step Up Choppers 200 5.5 Chopper Circuits: Classification 202 5.6 Steady State Time–Domain Analysis of Type A Chopper 206 5.7 Thyristor Based Chopper Circuits 208 5.7.1 Voltage Commutated Chopper 209 5.7.2 Current Commutated Chopper 212 5.7.3 Load Commutated Chopper 214 5.8 Multiphase Choppers 215 5.9 Switch Mode Power Supplies (SMPS) 217 5.10 Switch Mode DC–DC Converter (without Isolation) 218 5.10.1 Buck Converter 218 5.10.2 Boost-type Converter 220 5.10.3 Buck Boost Converter 223 5.10.4 Cuk Converters 225 5.11 Switch Mode DC–DC Converter (with Isolation) 225 5.11.1 Fly Back Converter 226 5.11.2 Push–Pull Converter 227 5.11.3 Half-bridge Converter 228 5.11.4 Full-bridge Converter 229 5.12 Resonant Converters 230 5.12.1 Zero-current Switching Resonant Converters 231 5.12.2 Zero-voltage Switching Resonant Converters 236 5.12.3 Comparison between ZCS and ZVS converters 240 Solved Examples 241 Review Questions 246 Problems 247 Inverters 6.1 6.2 6.3 6.4 6.5 Preliminaries 249 Classification 249 Parallel Inverters 250 6.3.1 Basic Parallel Inverter 250 6.3.2 Modified Parallel Inverter 252 Series Inverters 253 6.4.1 Basic Series Inverter 253 6.4.2 Modifications of Series Inverter 255 Single-phase Bridge Voltage Source Inverter 256 6.5.1 Single-phase Half Bridge Inverter 256 6.5.2 Single-phase Full Bridge Inverter 259 6.5.3 Steady State Response of Single-phase Inverters 249–298 260 viii 6.6 Contents Force 6.6.1 6.6.2 6.6.3 Commutated Thyristor Inverter 261 McMurray Inverter (Auxiliary Commutated Inverter) 261 Modified McMurray Full Bridge Inverter 263 McMurray–Bedford Half Bridge Inverter (Complementary Impulse Commutated Inverter) 264 6.7 Three-phase Bridge Inverters 267 6.7.1 Three-phase Inverter under 180° Mode Operation 268 6.7.2 Three-phase Inverter under 120° Mode Operation 271 6.8 Voltage Control in Single-phase Inverters 274 6.8.1 External Control of the AC Output Voltage 274 6.8.2 External Control of the DC Input Voltage Through Variable DC Link 6.8.3 Internal Control of the Inverter Voltage 276 6.8.4 Pulse Width Modulated Inverters 277 6.9 Voltage Control of Three-phase Inverter 281 6.10 Harmonic Reduction in the Output Voltage 282 6.10.1 Harmonic Reduction by Transformer Connections 282 6.10.2 Harmonic Reduction by Multiple Commutation in Each Half Cycle 6.11 Current Source Inverter 286 6.11.1 Single-phase Capacitor Commutated Current Source Inverter with R Load 286 6.11.2 Single-phase Auto-sequential Commutated Inverter (One-phase ASCI) 6.12 Three-phase Current Source Inverter 288 Solved Examples 289 Review Questions 296 Problems 298 Power Controllers: Their Applications 7.1 7.2 7.3 7.4 7.5 7.6 7.7 Preliminaries 299 DC Motor Speed Control 299 7.2.1 Principle of Speed Control 300 Phase Controlled Converters 301 7.3.1 Single-phase DC Drives 303 7.3.2 Three-phase DC Drives 308 7.3.3 Dual Converter Drives 311 Chopper Controlled DC Drives 312 AC Drives 315 7.5.1 Induction Motor Drives 315 7.5.2 Speed Control by Stator Voltage Control 316 7.5.3 Variable Voltage Variable Frequency Control 317 7.5.4 Speed Control by Chopper Controlled Rotor Resistance 7.5.5 Slip Power Recovery Control 319 Synchronous Motor Control 320 Static Circuit Breakers 320 7.7.1 DC Circuit Breakers 321 7.7.2 AC Circuit Breakers 321 275 284 287 299–334 318 Contents HVDC Transmission 322 7.8.1 Types of HVDC Lines 323 7.8.2 Converter Station 324 7.9 Static Var Systems 325 7.9.1 Thyristor Controlled Reactor-fixed (TCR) Capacitor 326 7.9.2 Thyristor Switched Capacitor–Thyristor Controlled Reactor (TSC–TCR) 7.10 Uninterrupted Power Supply (UPS) 327 7.10.1 On-Line UPS 327 7.10.2 Off-Line UPS 329 7.10.3 Salient Features of an On-Line Inverter 330 7.10.4 Inverters 331 7.10.5 Transfer Switch 331 Solved Examples 332 Review Questions 334 ix 7.8 Microcontroller Based Control and Protection Circuits 8.1 8.2 8.3 8.4 8.5 Preliminaries 335 The 8051 Microcontroller 336 8.2.1 The 8051 Pin Configuration 337 8.2.2 8051 Architecture 339 8.2.3 Memory Organization 339 8.2.4 The Special Function Register 340 8.2.5 Timers/Counters 341 8.2.6 The Serial Interface 341 8.2.7 The Interrupts 341 8.2.8 The Power Control Register (PCON) 342 The Instruction Set 342 8.3.1 Addressing Modes 342 8.3.2 Arithmetic Instructions 343 8.3.3 Logical Instructions 343 8.3.4 Data Transfer Instructions 344 8.3.5 Boolean Instructions 345 8.3.6 The Program Branching and Machine Control Instructions 8.3.7 Instruction Timing 346 Interfacing the 8051 Microcontroller 346 8.4.1 Interfacing External Memory 346 8.4.2 Interfacing an Input/Output Device 347 8.4.3 Interfacing an Analog to Digital Converter 348 8.4.4 Interfacing a Digital to Analog Converter 349 8.4.5 Interfacing a Relay and an Optocoupler 349 8.4.6 Interfacing a Pulse Transformer 351 Applications 352 8.5.1 SCR Triggering 352 8.5.2 Cycloconverter 354 8.5.3 Fault Diagnosis in Three-phase Thyristor Converters Using Microcontroller 357 326 335–364 345 Power Controllers: Their Applications 317 The direction of rotation of the three-phase induction motor can be reversed by changing the phase sequence of the stator voltages by introducing two additional thyristor controllers The merits and demerits of this method of stator voltage control can be enumerated as follows: Merits (i) The control circuitry is simple, more compact and weighs less (ii) There is considerable saving in energy and thus, it is an economical method when compared to other methods of speed control Demerits (i) Maximum torque available from the motor decreases with reduction in stator voltage (ii) At low speeds, motor currents are excessive and special arrangements should be provided to limit these excessive currents (iii) Performance is poor under running condition at low speeds (iv) Operating efficiency is low as resistance losses are high (v) Voltage and current waveforms are highly distorted due to harmonics, to eventually affect the efficiency of the motor 7.5.3 Variable Voltage Variable Frequency Control For a three-phase induction motor, the voltage equation is expressed as: E = 4.44 F fN (7.29) where E is the supply voltage (volts) F is the air gap flux (webers) f is the supply frequency (Hz) N is the number of turns From Eq (7.29), it can be shown that during frequency control, the air gap flux F remains unchanged if the stator voltage is also varied along with frequency such that the ratio E/f is constant This leads to constant torque operation below synchronous speed as F is kept constant Thus, E f 4.44 ' N — ' (7.30) That is, to control the speed of an induction motor below its rated speed, not only the frequency f but also the supply voltage V (=E) has to be decreased proportionately to keep the (E/f ) ratio constant In order to achieve speed control above the rated speed, the stator voltage is retained at its supply voltage level but the supply frequency is increased The air gap flux as a result is decreased resulting in lesser value of developed torque Thus, reduced torque at increased speed leads to constant horsepower operations beyond synchronous speeds Figure 7.16 depicts the power circuit diagram of a variable voltage variable frequency control It consists of a bridge converter-dc link-inverter configuration The three-phase bridge converter converts three-phase ac supply voltage to variable dc voltage This is followed by the filter circuit The output of the filter is then fed to the input of the bridge inverter The inverter generates a variable voltage variable frequency supply to control the induction motor The inverter circuit 318 Power Electronics: Devices and Circuits Rectifier Filter Inverter Three-phase ac supply L T1 + D1 T3 D3 T5 D5 Vd Vo C T4 D4 D6 T6 T2 p 2p Vd wt D2 Three-phase Induction Motor (a) (b) Fig 7.16 Frequency control of an Induction motor contains six thyristors and six diodes The firing circuits are not shown in the figure The capacitor C, as shown in Fig 7.16 supplies stiff voltage supply to the inverter and the inverter output voltage waves are therefore not affected by nature of load 7.5.4 Speed Control by Chopper Controlled Rotor Resistance The speed of a wound-rotor induction motor can be varied by varying the external resistance added to the rotor circuit This can be performed steplessly by using a simple chopper circuit shown in Fig 7.17 This method of speed control is not so efficient because slip energy is dissipated in rotor circuit resistance However, the advantages of this technique are: Increasing Rr N Ld Ir Id Id Ir R Tr 120° p 2p wt (a) (b) (c) T Fig 7.17 Chopper control of rotor resistance (a) High initial torque at lower values of initial current (b) Wide range of speed control (c) Improved power factor The stator of the machine is directly connected to the line power supply but in the rotor, a bridge rectifier circuit rectifies the ac slip power to dc The dc current is supplied to the chopper through a large series inductor Ld The chopper feeds an external shunt resistor R as shown in Fig 7.17 The chopper is periodically turned on and off When the chopper is OFF, the resistance is connected to the circuit and the dc link current Id flows through it On the other hand, if the chopper Power Controllers: Their Applications 319 is ON, the resistance is short-circuited and the current Id is bypassed by the chopper Therefore, the effective resistance R¢, is given by R¢ = R(1 – d) where d is the duty ratio When d varies from to 0, the rotor resistance R¢, varies from to R Figure 7.17(b) shows the chopper input current wave The torque speed characteristics shown in Fig 7.17(c) illustrate the effect of rotor resistance on motor speed That is, the rotor speed can be varied by varying the effective rotor resistance 7.5.5 Slip Power Recovery Control The slip energy recovery system for speed control of a slip ring motor is shown in Fig 7.18(a) Three-phase as supply Slip rings Power input Wound rotor inductor motor Transformer Smoothing inductor + I0 + Slip power Rectifier bridge (a) Torque Vd Vdo Power feedback a1

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