Multilevel Inverters

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Multilevel Inverters

Author : Krishna Kumar Gupta
Publisher : Academic Press
ISBN 13 : 0128124490
Total Pages : 228 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Multilevel Inverters by : Krishna Kumar Gupta

Download or read book Multilevel Inverters written by Krishna Kumar Gupta and published by Academic Press. This book was released on 2017-12-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilevel Inverters: Conventional and Emerging Topologies and Their Control is written with two primary objectives: (a) explanation of fundamentals of multilevel inverters (MLIs) with reference to the general philosophy of power electronics; and (b) enabling the reader to systematically analyze a given topology with the possibility of contributing towards the ongoing evolution of topologies. The authors also present an updated status of current research in the field of MLIs with an emphasis on the evolution of newer topologies. In addition, the work includes a universal control scheme, with which any given topology can be modulated. Extensive qualitative and quantitative evaluations of emerging topologies give researchers and industry professionals suitable solutions for specific applications with a systematic presentation of software-based modeling and simulation, and an exploration of key issues. Topics covered also include power distribution among sources, voltage balancing, optimization switching frequency and asymmetric source configuration. This valuable reference further provides tools to model and simulate conventional and emerging topologies using MATLAB®/Simulink® and discusses execution of experimental set-up using popular interfacing tools. The book includes a Foreword by Dr. Frede Blaabjerg, Fellow IEEE, Professor and VILLUM Investigator, Aalborg University, Denmark. Includes a universal control scheme to help the reader learn the control of existing topologies and those which can be proposed in the future Presents three new topologies. Systematic development of these topologies and subsequent simulation and experimental studies exemplify an approach to the development of newer topologies and verification of their working and experimental verification. Contains a systematic and step-by-step approach to modelling and simulating various topologies designed to effectively employ low-power applications

Multilevel Converters: Analysis, Modulation, Topologies, and Applications

Author : Gabriele Grandi
Publisher : MDPI
ISBN 13 : 3039214810
Total Pages : 548 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Multilevel Converters: Analysis, Modulation, Topologies, and Applications by : Gabriele Grandi

Download or read book Multilevel Converters: Analysis, Modulation, Topologies, and Applications written by Gabriele Grandi and published by MDPI. This book was released on 2019-10-14 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of scientific papers concerning multilevel inverters examined from different points of view. Many applications are considered, such as renewable energy interface, power conditioning systems, electric drives, and chargers for electric vehicles. Different topologies have been examined in both new configurations and well-established structures, introducing novel and particular modulation strategies, and examining the effect of modulation techniques on voltage and current harmonics and the total harmonic distortion.

Multilevel Inverters

Author : Ersan Kabalci
Publisher : Academic Press
ISBN 13 : 0323907253
Total Pages : 292 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Multilevel Inverters by : Ersan Kabalci

Download or read book Multilevel Inverters written by Ersan Kabalci and published by Academic Press. This book was released on 2021-03-27 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilevel Inverters: Control Methods and Power Electronics Applications provides a suite of powerful control methods for conventional and emerging inverter topologies instrumentalized in power electronics applications. It introduces readers to the conventional pulse width modulation control of multilevel voltage source inverter topologies before moving through more advanced approaches including hysteresis control, proportional resonance control, and model predictive control. Later chapters survey the power electronics connection between device topologies and control methods, particularly focusing on conversion in renewable energy systems, electric vehicles, static VAR compensators and solid-state transformers. Examines modern design configurations for multilevel inverter controllers, emerging control methods, and their applications Presents detailed application examples of multilevel inverters deployed in modern and recent power electronic areas including renewable energy sources, electric vehicles, and grid management Discusses deployment and development of future power converter implementation

Multilevel Inverters

Author : Ersan Kabalci
Publisher : Academic Press
ISBN 13 : 0128232390
Total Pages : 278 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Multilevel Inverters by : Ersan Kabalci

Download or read book Multilevel Inverters written by Ersan Kabalci and published by Academic Press. This book was released on 2021-02-14 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilevel Inverters: Topologies, Control Methods, and Applications investigates modern device topologies, control methods, and application areas for the rapidly developing conversion technology. The device topologies section begins with conventional two-level inverter topologies to provide a background on the DC-AC power conversion process and required circuit configurations. Thereafter, multilevel topologies originating from neutral point clamped topologies are presented in detail. The improved and inherited regular multilevel topologies such as flying capacitor and conventional H-bridge topology are presented to illustrate the multilevel concept. Emerging topologies are introduced regarding application areas such as renewable energy sources, electric vehicles, and power systems. The book goes on to discuss fundamental operational principles of inverters using the conventional pulse width modulated control method. Current and voltage based closed loop control methods such as repetitive control, space vector modulation, proportional resonant control and other recent methods are developed. Core modern applications including wind energy, photovoltaics, microgrids, hybrid microgrids, electric vehicles, active filters, and static VAR compensators are investigated in depth. Multilevel Inverters for Emergent Topologies and Advanced Power Electronics Applications is a valuable resource for electrical engineering specialists, smart grid specialists, researchers on electrical, power systems, and electronics engineering, energy and computer engineers. Reviews mathematical modeling and step-by-step simulation examples, straddling both basic and advanced topologies Assesses how to systematically deploy and control multilevel power inverters in application scenarios Reviews key applications across wind energy, photovoltaics, microgrids, hybrid microgrids, electric vehicles, active filters, static VAR compensators

Modular Multilevel Converters

Author : Sixing Du
Publisher : John Wiley & Sons
ISBN 13 : 1119367239
Total Pages : 368 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Modular Multilevel Converters by : Sixing Du

Download or read book Modular Multilevel Converters written by Sixing Du and published by John Wiley & Sons. This book was released on 2018-02-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable academic reference for the area of high-power converters, covering all the latest developments in the field High-power multilevel converters are well known in industry and academia as one of the preferred choices for efficient power conversion. Over the past decade, several power converters have been developed and commercialized in the form of standard and customized products that power a wide range of industrial applications. Currently, the modular multilevel converter is a fast-growing technology and has received wide acceptance from both industry and academia. Providing adequate technical background for graduate- and undergraduate-level teaching, this book includes a comprehensive analysis of the conventional and advanced modular multilevel converters employed in motor drives, HVDC systems, and power quality improvement. Modular Multilevel Converters: Analysis, Control, and Applications provides an overview of high-power converters, reference frame theory, classical control methods, pulse width modulation schemes, advanced model predictive control methods, modeling of ac drives, advanced drive control schemes, modeling and control of HVDC systems, active and reactive power control, power quality problems, reactive power, harmonics and unbalance compensation, modeling and control of static synchronous compensators (STATCOM) and unified power quality compensators. Furthermore, this book: Explores technical challenges, modeling, and control of various modular multilevel converters in a wide range of applications such as transformer and transformerless motor drives, high voltage direct current transmission systems, and power quality improvement Reflects the latest developments in high-power converters in medium-voltage motor drive systems Offers design guidance with tables, charts graphs, and MATLAB simulations Modular Multilevel Converters: Analysis, Control, and Applications is a valuable reference book for academic researchers, practicing engineers, and other professionals in the field of high power converters. It also serves well as a textbook for graduate-level students.

Single-DC-Source Multilevel Inverters

Author : Hani Vahedi
Publisher : Springer
ISBN 13 : 3030152537
Total Pages : 37 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Single-DC-Source Multilevel Inverters by : Hani Vahedi

Download or read book Single-DC-Source Multilevel Inverters written by Hani Vahedi and published by Springer. This book was released on 2019-03-23 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to distinguish the single-de-source multilevel inverter topologies and to teach their control, switching and voltage balancing. It includes new information on voltage balancing and control of multilevel inverters. The book answers some important questions about the revolution of power electronics converters: 1- Why multilevel inverter are better than 2-level ones? 2- Why single-de-source multilevel inverters are a matter of interest? 3- What are the redundant switching states and what do they do? 4- How to use redundant switching states in control and voltage balancing? 5- What are the applications of single-de-source multilevel inverters?

Peak-to-Peak Output Current Ripple Analysis in Multiphase and Multilevel Inverters

Author : Jelena Loncarski
Publisher : Springer
ISBN 13 : 331907251X
Total Pages : 129 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Peak-to-Peak Output Current Ripple Analysis in Multiphase and Multilevel Inverters by : Jelena Loncarski

Download or read book Peak-to-Peak Output Current Ripple Analysis in Multiphase and Multilevel Inverters written by Jelena Loncarski and published by Springer. This book was released on 2014-06-23 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces an original and effective method for the analysis of peak-to-peak output current ripple amplitude in three-phase two-level inverters. It shows that the method can be extended to both multiphase inverters, with particular emphasis on five-phase and seven-phase inverters, and multilevel ones, with particular emphasis on three-level inverters, and provides, therefore, a comparison among different number of output phases and voltage levels. The work reported on here represents the first detailed analysis of the peak-to-peak output current ripple. It makes an important step toward future developments in the field of high-power generation, and in grid-connected and motor-load systems.

Pulse Width Modulation

Author : Satish Kumar Peddapelli
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110468573
Total Pages : 220 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Pulse Width Modulation by : Satish Kumar Peddapelli

Download or read book Pulse Width Modulation written by Satish Kumar Peddapelli and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-12-19 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a general approach to pulse width modulation techniques and multilevel inverter topologies. The multilevel inverters can be approximately compared to a sinusoidal waveform because of their increased number of direct current voltage levels, which provides an opportunity to eliminate harmonic contents and therefore allows the utilization of smaller and more reliable components. On the other side, multilevel inverters require more components than traditional inverters and that increases the overall cost of the system. The various algorithms for multilevel neutral point clamped inverter fed induction motor are proposed and implemented, and the results are analyzed. The performance of these algorithms is evaluated in terms of inverter output voltage, current waveforms and total harmonic distortion. Various basic pulse width modulation techniques, features and implementation of space vector pulse width modulation for a two-level inverter, and various multilevel inverter topologies are discussed in detail. This book is extremely useful for undergraduate students, postgraduate students, industry people, scientists of research laboratories and especially for the research scholars who are working in the area of multilevel inverters. Dr. Satish Kumar Peddapelli is Assistant Professor at the Osmania University in Hyderabad, India. His areas of interest are Power Electronics, Drives, Power Converters, Multi Level Inverters and Special Machines.

Low-Switching Frequency Modulation Schemes for Multi-level Inverters

Author : A. Rakesh Kumar
Publisher : CRC Press
ISBN 13 : 1000332918
Total Pages : 102 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Low-Switching Frequency Modulation Schemes for Multi-level Inverters by : A. Rakesh Kumar

Download or read book Low-Switching Frequency Modulation Schemes for Multi-level Inverters written by A. Rakesh Kumar and published by CRC Press. This book was released on 2020-12-11 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-level Inverters (MLIs) are widely used for conversion of DC to AC power. This book provides various low-switching frequency (LSF) modulation schemes (conventional and improved), which can be implemented on MLIs. The LSF modulation schemes are implemented to three different MLI topologies to demonstrate their working and aimed at their application to reader invented MLI topologies. Highlighting the advantages of LSF over high-switching frequency (HSF) modulation schemes, the simulations are carried out using MATLAB®/Simulink along with hardware experiments. The practical application of MLIs to renewable energy sources and electric vehicles is also provided at the end of the book. Aimed at researchers, graduate students in Electric Power Engineering, Power Electronics, this book: Presents detailed overview of most commonly used multi-level invertor topologies. Covers advantages of low-switching over high-switching frequency scheme. Includes an exclusive section dedicated for an improved low-switching modulation scheme. Dedicated chapter on application of renewable energy sources to multi-level invertors and electric vehicles. Explains all the low-switching frequency modulation schemes.

Multilevel Converters for Industrial Applications

Author : Sergio Alberto Gonzalez
Publisher : CRC Press
ISBN 13 : 1351832557
Total Pages : 245 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Multilevel Converters for Industrial Applications by : Sergio Alberto Gonzalez

Download or read book Multilevel Converters for Industrial Applications written by Sergio Alberto Gonzalez and published by CRC Press. This book was released on 2017-07-12 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern semiconductor devices have reached high current and voltage levels, and their power-handling limits can be extended if they are used in multilevel converter configurations. To create high-performance and reliable control designs, however, engineers need in-depth understanding of the characteristics and operation of these topologies. Multilevel Converters for Industrial Applications presents a thorough and comprehensive analysis of multilevel converters with a common DC voltage source. The book offers a novel perspective to help readers understand the principles of the operation of voltage-source multilevel converters as power processors, and their capabilities and limitations. The book begins with an overview of medium-voltage power converters and their applications. It then analyzes the topological characteristics of the diode-clamped multilevel converter, the flying capacitor multilevel converter, and the asymmetric cascaded multilevel converter. For each topology, the authors highlight particular control issues and design trade-offs. They also develop relevant modulation and control strategies. Numerous graphical representations aid in the analysis of the topologies and are useful for beginning the analysis of new multilevel converter topologies. The last two chapters of the book explore two case studies that analyze the behavior of the cascade asymmetric multilevel converter as a distribution static compensator and shunt active power filter, and the behavior of the diode-clamped topology configured as a back-to-back converter. These case studies demonstrate how to address the associated control problems with advanced control and modulation schemes. Examining recent advances, this book provides deep insight on the design of high-power multilevel converters and their applications. It is a valuable reference for anyone interested in medium-voltage power conversion, which is increasingly being used in industry and in renewable energy and distributed generation systems to improve efficiency and operation flexibility.

Power Electronics Handbook

Author : Muhammad H. Rashid
Publisher : Elsevier
ISBN 13 : 9780080467658
Total Pages : 1192 pages
Book Rating : 4.4/5 (676 download)

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Book Synopsis Power Electronics Handbook by : Muhammad H. Rashid

Download or read book Power Electronics Handbook written by Muhammad H. Rashid and published by Elsevier. This book was released on 2010-07-19 with total page 1192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Power electronics, which is a rapidly growing area in terms of research and applications, uses modern electronics technology to convert electric power from one form to another, such as ac-dc, dc-dc, dc-ac, and ac-ac with a variable output magnitude and frequency. Power electronics has many applications in our every day life such as air-conditioners, electric cars, sub-way trains, motor drives, renewable energy sources and power supplies for computers. This book covers all aspects of switching devices, converter circuit topologies, control techniques, analytical methods and some examples of their applications. * 25% new content * Reorganized and revised into 8 sections comprising 43 chapters * Coverage of numerous applications, including uninterruptable power supplies and automotive electrical systems * New content in power generation and distribution, including solar power, fuel cells, wind turbines, and flexible transmission

High-Power Converters and AC Drives

Author : Bin Wu
Publisher : John Wiley & Sons
ISBN 13 : 0471773700
Total Pages : 350 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis High-Power Converters and AC Drives by : Bin Wu

Download or read book High-Power Converters and AC Drives written by Bin Wu and published by John Wiley & Sons. This book was released on 2007-01-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest cutting-edge technology in high-power converters and medium voltage drives, and provides a complete analysis of various converter topologies, modulation techniques, practical drive configurations, and advanced control schemes. Supplemented with more than 250 illustrations, the author illustrates key concepts with simulations and experiments. Practical problems, along with accompanying solutions, are presented to help you tackle real-world issues.

Pulse Width Modulation for Power Converters

Author : D. Grahame Holmes
Publisher : John Wiley & Sons
ISBN 13 : 9780471208143
Total Pages : 748 pages
Book Rating : 4.2/5 (81 download)

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Book Synopsis Pulse Width Modulation for Power Converters by : D. Grahame Holmes

Download or read book Pulse Width Modulation for Power Converters written by D. Grahame Holmes and published by John Wiley & Sons. This book was released on 2003-10-03 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: * The first single volume resource for researchers in the field who previously had to depend on separate papers and conference records to attain a working knowledge of the subject. * Brings together the field's diverse approaches into an integrated and comprehensive theory of PWM

Advanced Multilevel Converters and Applications in Grid Integration

Author : Ali Iftekhar Maswood
Publisher : John Wiley & Sons
ISBN 13 : 1119475864
Total Pages : 496 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Advanced Multilevel Converters and Applications in Grid Integration by : Ali Iftekhar Maswood

Download or read book Advanced Multilevel Converters and Applications in Grid Integration written by Ali Iftekhar Maswood and published by John Wiley & Sons. This book was released on 2019-01-04 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of advanced multilevel converter design, control, operation and grid-connected applications Advanced Multilevel Converters and Applications in Grid Integration presents a comprehensive review of the core principles of advanced multilevel converters, which require fewer components and provide higher power conversion efficiency and output power quality. The authors – noted experts in the field – explain in detail the operation principles and control strategies and present the mathematical expressions and design procedures of their components. The text examines the advantages and disadvantages compared to the classical multilevel and two level power converters. The authors also include examples of the industrial applications of the advanced multilevel converters and offer thoughtful explanations on their control strategies. Advanced Multilevel Converters and Applications in Grid Integration provides a clear understanding of the gap difference between research conducted and the current industrial needs. This important guide: Puts the focus on the new challenges and topics in related areas such as modulation methods, harmonic analysis, voltage balancing and balanced current injection Makes a strong link between the fundamental concepts of power converters and advances multilevel converter topologies and examines their control strategies, together with practical engineering considerations Provides a valid reference for further developments in the multilevel converters design issue Contains simulations files for further study Written for university students in electrical engineering, researchers in areas of multilevel converters, high-power converters and engineers and operators in power industry, Advanced Multilevel Converters and Applications in Grid Integration offers a comprehensive review of the core principles of advanced multilevel converters, with contributions from noted experts in the field.

Modular Multilevel Converters

Author : Sixing Du
Publisher : John Wiley & Sons
ISBN 13 : 1119366518
Total Pages : 368 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Modular Multilevel Converters by : Sixing Du

Download or read book Modular Multilevel Converters written by Sixing Du and published by John Wiley & Sons. This book was released on 2017-11-20 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable academic reference for the area of high-power converters, covering all the latest developments in the field High-power multilevel converters are well known in industry and academia as one of the preferred choices for efficient power conversion. Over the past decade, several power converters have been developed and commercialized in the form of standard and customized products that power a wide range of industrial applications. Currently, the modular multilevel converter is a fast-growing technology and has received wide acceptance from both industry and academia. Providing adequate technical background for graduate- and undergraduate-level teaching, this book includes a comprehensive analysis of the conventional and advanced modular multilevel converters employed in motor drives, HVDC systems, and power quality improvement. Modular Multilevel Converters: Analysis, Control, and Applications provides an overview of high-power converters, reference frame theory, classical control methods, pulse width modulation schemes, advanced model predictive control methods, modeling of ac drives, advanced drive control schemes, modeling and control of HVDC systems, active and reactive power control, power quality problems, reactive power, harmonics and unbalance compensation, modeling and control of static synchronous compensators (STATCOM) and unified power quality compensators. Furthermore, this book: Explores technical challenges, modeling, and control of various modular multilevel converters in a wide range of applications such as transformer and transformerless motor drives, high voltage direct current transmission systems, and power quality improvement Reflects the latest developments in high-power converters in medium-voltage motor drive systems Offers design guidance with tables, charts graphs, and MATLAB simulations Modular Multilevel Converters: Analysis, Control, and Applications is a valuable reference book for academic researchers, practicing engineers, and other professionals in the field of high power converters. It also serves well as a textbook for graduate-level students.

Low-Switching Frequency Modulation Schemes for Multi-level Inverters

Author : A. Rakesh Kumar
Publisher : CRC Press
ISBN 13 : 1000332896
Total Pages : 106 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Low-Switching Frequency Modulation Schemes for Multi-level Inverters by : A. Rakesh Kumar

Download or read book Low-Switching Frequency Modulation Schemes for Multi-level Inverters written by A. Rakesh Kumar and published by CRC Press. This book was released on 2020-12-10 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-level Inverters (MLIs) are widely used for conversion of DC to AC power. This book provides various low-switching frequency (LSF) modulation schemes (conventional and improved), which can be implemented on MLIs. The LSF modulation schemes are implemented to three different MLI topologies to demonstrate their working and aimed at their application to reader invented MLI topologies. Highlighting the advantages of LSF over high-switching frequency (HSF) modulation schemes, the simulations are carried out using MATLAB®/Simulink along with hardware experiments. The practical application of MLIs to renewable energy sources and electric vehicles is also provided at the end of the book. Aimed at researchers, graduate students in Electric Power Engineering, Power Electronics, this book: Presents detailed overview of most commonly used multi-level invertor topologies. Covers advantages of low-switching over high-switching frequency scheme. Includes an exclusive section dedicated for an improved low-switching modulation scheme. Dedicated chapter on application of renewable energy sources to multi-level invertors and electric vehicles. Explains all the low-switching frequency modulation schemes.

Power Electronics

Author : Fang Lin Luo
Publisher : CRC Press
ISBN 13 : 1439882614
Total Pages : 744 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Power Electronics by : Fang Lin Luo

Download or read book Power Electronics written by Fang Lin Luo and published by CRC Press. This book was released on 2010-01-19 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ever-growing shortage of energy resources continues to make the development of renewable energy sources, energy-saving techniques, and power supply quality an increasingly critical issue. To meet the need to develop renewable and energy-saving power sources, green energy source systems require large numbers of converters. New converters, such as the Vienna rectifier and z-source inverters, are designed to improve the power factor and increase power efficiency. Power Electronics: Advanced Conversion Technologies gives those working in power electronics useful and concise information regarding advanced converters. Offering methods for determining accurate solutions in the design of converters for industrial applications, this book details more than 200 topologies concerning advanced converters that the authors themselves have developed. The text analyzes new converter circuits that have not been widely examined, and it covers the rapid advances in the field, presenting ways to solve and correct the historical problems associated with them. The technology of DC/DC conversion is making rapid progress. It is estimated that more than 600 topologies of DC/DC converters exist, and new ones are being created every year. The authors completed the mammoth task of systematically sorting and categorizing the DC/DC converters into six groups and have made major contributions to voltage-lift and super-lift techniques. Detailing the authors’ work, this book investigates topics including traditional AC/DC diode rectifiers controlled AC/DC rectifiers power factor correction unity power factor techniques pulse-width-modulated DC/AC inverters multilevel DC/AC inverters traditional and improved AC/AC converters converters used in renewable energy source systems With many examples and homework problems to help the reader thoroughly understand design and application of power electronics, this volume can be used both as a textbook for university students studying power electronics and a reference book for practicing engineers.