Power Electronic Converters Introduction Power Electronic Converters Interactive Modelling Using Simulink Power Electronic Converters Interactive Modelling Using Simulink By Narayanaswamy P. R. Iyer MATLAB® and Simulink® are trademarks of The MathWorks, Inc. and are used with per- mission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book’ s use or discussion of MATLAB® and Simulink® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® and Simulink® software. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2018 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 on acid-free paper International Standard Book Number-13: 978-0-8153-6819-9 (Hardback) 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 cannot assume responsibility for the validity of all materials or the conse- quences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowl- edged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, repro- duced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www. copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit orga- nization that provides 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. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Dedicated to the memory of the late Dr. Venkat Ramaswamy, who was a great source of inspiration. Contents Preface ...................................................................................................................xiii 1 Introduction .....................................................................................................1 1.1 Background ............................................................................................1 1.2 Why Use Simulink? ..............................................................................2 1.3 Significance of Modelling ....................................................................2 1.4 Book Novelty .........................................................................................3 1.5 Book Outline ..........................................................................................4 References .........................................................................................................5 2 Fundamentals of Interactive Modelling ....................................................7 2.1 Introduction ...........................................................................................7 2.2 Interactive Modelling Concept ............................................................7 2.3 Interactive Modelling Procedure ........................................................8 2.3.1 Interactive Model Development ............................................9 2.3.2 Three-Phase AC Voltage Source ..........................................12 2.3.3 SCR Three-Phase Half-Wave Converter .............................16 2.3.4 Gate Pulse Generator .............................................................18 2.3.5 RLE Load .................................................................................21 2.3.6 Output Voltage and Current Measurement .......................21 2.3.7 Input Voltage Measurement .................................................24 2.4 Simulation Results ..............................................................................27 2.5 Discussion of Results ..........................................................................28 2.6 Conclusions ..........................................................................................28 References .......................................................................................................29 3 Interactive Models for AC to DC Converters ..........................................31 3.1 Introduction .........................................................................................31 3.2 Single-Phase Full-Wave Diode Bridge Rectifier ..............................31 3.2.1 Interactive Model for Single-Phase FWDBR with Purely Resistive or with RLE Load .....................................32 3.2.2 Simulation Results .................................................................36 3.3 Single-Phase Full-Wave SCR Bridge Rectifier ................................38 3.3.1 Model for Single-Phase FWCBR with Purely Resistive or with RLE Load ..................................................39 3.3.2 Simulation Results .................................................................44 3.4 Three-Phase Full-Wave Diode Bridge Rectifier ..............................46 3.4.1 Model for Three-Phase FWDBR with Purely Resistive Load .........................................................................48 3.4.2 Simulation Results .................................................................54 vii viii Contents 3.5 Conclusions ..........................................................................................56 References .......................................................................................................56 4 Interactive Models for DC to AC Converters ..........................................57 4.1 Introduction .........................................................................................57 4.2 Three-Phase 180° Mode Inverter .......................................................57 4.2.1 Analysis of Line-to-Line Voltage .........................................58 4.2.2 Analysis of Line-to-Neutral Voltage ...................................60 4.2.3 Total Harmonic Distortion ...................................................63 4.2.4 Model for Three-Phase 180° Mode Inverter .......................63 4.2.5 Simulation Results .................................................................67 4.3 Three-Phase 120° Mode Inverter ......................................................68 4.3.1 Analysis of Line-to-Line Voltage .........................................71 4.3.2 Analysis of Line-to-Neutral Voltage ...................................73 4.3.3 Total Harmonic Distortion ...................................................75 4.3.4 Model of Three-Phase 120° Mode Inverter ........................76 4.3.5 Simulation Results .................................................................78 4.4 Three-Phase Sine PWM Technique .................................................80 4.4.1 Model for Three-Phase Sine PWM Inverter .......................84 4.4.2 Simulation Results .................................................................86 4.5 Conclusions ..........................................................................................87 References .......................................................................................................90 5 Interactive Models for DC to DC Converters .........................................91 5.1 Introduction .........................................................................................91 5.2 Buck Converter Analysis in Continuous Conduction Mode ........91 5.3 B uck Converter Analysis in Discontinuous Conduction Mode .....94 5.4 Model of Buck Converter in CCM and DCM ..................................95 5.4.1 Simulation Results .................................................................97 5.5 Boost Converter Analysis in Continuous Conduction Mode .....101 5.6 B oost Converter Analysis in Discontinuous Conduction Mode ....103 5.7 Model of Boost Converter in CCM and DCM ...............................105 5.7.1 Simulation Results ...............................................................106 5.8 B uck–Boost Converter Analysis in Continuous Conduction Mode .....106 5.9 Buck–Boost Converter Analysis in the Discontinuous Conduction Mode..............................................................................112 5.10 Model of Buck–Boost Converter in CCM and DCM ....................114 5.10.1 Simulation Results ...............................................................115 5.11 Conclusions ........................................................................................115 References .....................................................................................................120 6 Interactive Models for AC to AC Converters ........................................121 6.1 Introduction .......................................................................................121 6.2 Analysis of a Fully Controlled Three-Phase Three-Wire AC Voltage Controller with Star-Connected Resistive Load and Isolated Neutral ................................................................................121 Contents ix 6.2.1 Modelling of a Fully Controlled Three-Phase Three- Wire AC Voltage Controller with Star-Connected Resistive Load and Isolated Neutral .....................................124 6.2.2 Simulation Results ..............................................................129 6.3 Analysis of a Fully Controlled Three-Phase AC Voltage Controller in Series with Resistive Load Connected in Delta ...........................................................................133 6.3.1 Modelling of a Fully Controlled Three-Phase AC Voltage Controller in Series with Resistive Load Connected in Delta .............................................................135 6.3.2 Simulation Results ...............................................................140 6.4 Conclusions ........................................................................................144 References .....................................................................................................145 7 Interactive Modelling of a Switched Mode Power Supply Using Buck Converter ............................................................................................147 7.1 Introduction .......................................................................................147 7.2 Principle of Operation of Switched Mode Power Supply ............147 7.3 Modelling of the Switched Mode Power Supply ..........................150 7.3.1 Simulation Results ...............................................................153 7.4 Conclusions ........................................................................................155 References .....................................................................................................163 8 Interactive Models for Fourth-Order DC to DC Converters .................................................................................165 8.1 Introduction .......................................................................................165 8.2 Analysis of SEPIC Converter in CCM ............................................165 8.3 Analysis of SEPIC Converter in DCM ............................................168 8.4 Model of SEPIC Converter in CCM and DCM ..............................171 8.4.1 Simulation Results ...............................................................174 8.5 Analysis of Quadratic Boost Converter in the CCM ....................176 8.6 Analysis of Quadratic Boost Converter in the DCM ...................181 8.7 Model of Quadratic Boost Converter in CCM and DCM ............184 8.7.1 Simulation Results ...............................................................191 8.8 Analysis of Ultra-Lift Luo Converter in the CCM ........................191 8.9 Analysis of Ultra-Lift Luo Converter in DCM ..............................194 8.10 Model of Ultra-Lift Luo Converter in CCM and DCM ................197 8.10.1 Simulation Results ...............................................................200 8.11 Conclusions ........................................................................................202 References .....................................................................................................205 9 Interactive Models for Three-Phase Multilevel Inverters .................207 9.1 Introduction .......................................................................................207 9.2 Three-Phase Diode-Clamped Three-Level Inverter ....................208 9.2.1 Modelling of Three-Phase Diode-Clamped Three-Level Inverter ............................................................209 9.2.2 Simulation Results ...............................................................214