Origin of power converters: decoding, synthesizing, and modeling
"This book identifies the original converter before moving on to develop and model power converters systematically based on decoding and synthesizing approaches. The first part of the book presents an introduction, discovery of the original converter, and some fundamentals related to power conv...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ, USA
Wiley
2020
|
| Schlagworte: | |
| Online-Zugang: | FHN01 TUM01 http://public.eblib.com/choice/PublicFullRecord.aspx?p=6166908 |
| Zusammenfassung: | "This book identifies the original converter before moving on to develop and model power converters systematically based on decoding and synthesizing approaches. The first part of the book presents an introduction, discovery of the original converter, and some fundamentals related to power converter synthesis and evolution. It also provides an illustration of converter synthesis approaches, synthesis of multi-stage/multi-level converters, extension of hard--witching converters to soft-switching ones, and determination of switch-voltage stresses in the converters. In the second part of the book, the authors review conventional two-port network theory and state-space averaged (SSA) modeling approach, from which systematic modeling approaches based on the graft switch technique. The converter layer scheme and some fundamental circuit theories are also presented. A power converter is an electrical or electro-mechanical device for converting electrical energy. This could be as simple as a transformer to change the voltage of AC power, but also includes far more complex systems. The term can also refer to a class of electrical machinery that is used to convert one frequency of alternating current into another frequency. Power conversion systems often incorporate redundancy and voltage regulation. One way of classifying power conversion systems is according to whether the input and output are alternating current (AC) or direct current (DC)"-- |
| Beschreibung: | 1 Online-Ressource (xviii, 398 Seiten) Illustrationen |
| ISBN: | 9781119633075 9781523137046 |
Internformat
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| 100 | 1 | |a Wu, Tsai-Fu |d 1961- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Origin of power converters |b decoding, synthesizing, and modeling |c Tsai-Fu Wu, National Tsing Hua University, Taiwan, ROC, Yu-Kai Chen, National Formosa University, Taiwan, ROC |
| 264 | 1 | |a Hoboken, NJ, USA |b Wiley |c 2020 | |
| 300 | |a 1 Online-Ressource (xviii, 398 Seiten) |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 505 | 8 | |a Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- About the Authors -- Part I Decoding and Synthesizing -- Chapter 1 Introduction -- 1.1 Power Processing Systems -- 1.2 Non-PWM Converters Versus PWM Converters -- 1.2.1 Non-PWM Converters -- 1.2.2 PWM Power Converters -- 1.3 Well-Known PWM Converters -- 1.4 Approaches to Converter Development -- 1.5 Evolution -- 1.6 About the Text -- 1.6.1 Part I: Decoding and Synthesizing -- 1.6.2 Part II: Modeling and Applications -- Further Reading -- Chapter 2 Discovery of Original Converter | |
| 505 | 8 | |a 2.1 Creation of Original Converter -- 2.1.1 Source-Load Approach -- 2.1.2 Proton-Neutron-Meson Analogy -- 2.1.3 Resonance Approach -- 2.2 Fundamental PWM Converters -- 2.2.1 Voltage Transfer Ratios -- 2.2.2 CCM Operation -- 2.2.3 DCM Operation -- 2.2.4 Inverse Operation -- 2.3 Duality -- Further Reading -- Chapter 3 Fundamentals -- 3.1 DC Voltage and Current Offsetting -- 3.1.1 DC Voltage Offsetting -- 3.1.2 DC Current Offsetting -- 3.2 Capacitor and Inductor Splitting -- 3.3 DC-Voltage Blocking and Pulsating-Voltage Filtering -- 3.4 Magnetic Coupling -- 3.5 DC Transformer -- 3.6 Switch Grafting | |
| 505 | 8 | |a 3.7 Diode Grafting -- 3.8 Layer Scheme -- Further Reading -- Chapter 4 Decoding Process -- 4.1 Transfer Ratios (Codes) -- 4.2 Transfer Code Configurations -- 4.2.1 Cascade Configuration -- 4.2.2 Feedback Configuration -- 4.2.3 Feedforward Configuration -- 4.2.4 Parallel Configuration -- 4.3 Decoding Approaches -- 4.3.1 Factorization -- 4.3.2 Long Division -- 4.3.3 Cross Multiplication -- 4.4 Decoding of Transfer Codes with Multivariables -- 4.5 Decoding with Component-Interconnected Expression -- Further Reading -- Chapter 5 Synthesizing Process with Graft Scheme -- 5.1 Cell Approaches | |
| 505 | 8 | |a 5.1.1 P-Cell and N-Cell -- 5.1.2 Tee Canonical Cell and Pi Canonical Cell -- 5.1.3 Switched-Capacitor Cell and Switched-Inductor Cell -- 5.1.4 Inductor-Capacitor Component Cells -- 5.2 Converter Grafting Scheme -- 5.2.1 Synchronous Switch Operation -- 5.2.2 Grafting Active Switches -- 5.2.3 Grafting Passive Switches -- 5.3 Illustration of Grafting Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1.1 Graft Boost on Buck -- 5.3.1.2 Graft Buck on Boost -- 5.3.1.3 Graft Buck on Buck-Boost -- 5.3.1.4 Graft Boost on Boost-Buck | |
| 505 | 8 | |a 5.3.1.5 Buck in Parallel with Buck-Boost -- 5.3.1.6 Grafting Buck on Buck to Achieve High Step-Down Voltage Conversion -- 5.3.1.7 Grafting Boost on Boost to Achieve High Step-up Voltage Conversion -- 5.3.1.8 Grafting Boost (CCM) on Buck (DCM) -- 5.3.1.9 Cascode Complementary Zeta with Buck -- 5.3.2 Grafting Various Types of Converters -- 5.3.2.1 Grafting Half-Bridge Resonant Inverter on Dither Boost Converter -- 5.3.2.2 Grafting Half-Bridge Resonant Inverter on Bidirectional Flyback Converter -- 5.3.2.3 Grafting Class-E Converter on Boost Converter | |
| 520 | 3 | |a "This book identifies the original converter before moving on to develop and model power converters systematically based on decoding and synthesizing approaches. The first part of the book presents an introduction, discovery of the original converter, and some fundamentals related to power converter synthesis and evolution. It also provides an illustration of converter synthesis approaches, synthesis of multi-stage/multi-level converters, extension of hard--witching converters to soft-switching ones, and determination of switch-voltage stresses in the converters. In the second part of the book, the authors review conventional two-port network theory and state-space averaged (SSA) modeling approach, from which systematic modeling approaches based on the graft switch technique. The converter layer scheme and some fundamental circuit theories are also presented. A power converter is an electrical or electro-mechanical device for converting electrical energy. This could be as simple as a transformer to change the voltage of AC power, but also includes far more complex systems. The term can also refer to a class of electrical machinery that is used to convert one frequency of alternating current into another frequency. Power conversion systems often incorporate redundancy and voltage regulation. One way of classifying power conversion systems is according to whether the input and output are alternating current (AC) or direct current (DC)"-- | |
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| 700 | 1 | |a Chen, Yu-Kai |d 1967- |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Wu, Tsai-Fu, 1961- |t Origin of power converters |d Hoboken, NJ, USA : John Wiley & Sons, Inc. , 2020 |z 978-1-119-63298-6 |
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Datensatz im Suchindex
| _version_ | 1804181420701122560 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Wu, Tsai-Fu 1961- Chen, Yu-Kai 1967- |
| author_facet | Wu, Tsai-Fu 1961- Chen, Yu-Kai 1967- |
| author_role | aut aut |
| author_sort | Wu, Tsai-Fu 1961- |
| author_variant | t f w tfw y k c ykc |
| building | Verbundindex |
| bvnumber | BV046696644 |
| classification_rvk | ZN 8340 |
| collection | ZDB-30-PQE ZDB-10-ESC |
| contents | Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- About the Authors -- Part I Decoding and Synthesizing -- Chapter 1 Introduction -- 1.1 Power Processing Systems -- 1.2 Non-PWM Converters Versus PWM Converters -- 1.2.1 Non-PWM Converters -- 1.2.2 PWM Power Converters -- 1.3 Well-Known PWM Converters -- 1.4 Approaches to Converter Development -- 1.5 Evolution -- 1.6 About the Text -- 1.6.1 Part I: Decoding and Synthesizing -- 1.6.2 Part II: Modeling and Applications -- Further Reading -- Chapter 2 Discovery of Original Converter 2.1 Creation of Original Converter -- 2.1.1 Source-Load Approach -- 2.1.2 Proton-Neutron-Meson Analogy -- 2.1.3 Resonance Approach -- 2.2 Fundamental PWM Converters -- 2.2.1 Voltage Transfer Ratios -- 2.2.2 CCM Operation -- 2.2.3 DCM Operation -- 2.2.4 Inverse Operation -- 2.3 Duality -- Further Reading -- Chapter 3 Fundamentals -- 3.1 DC Voltage and Current Offsetting -- 3.1.1 DC Voltage Offsetting -- 3.1.2 DC Current Offsetting -- 3.2 Capacitor and Inductor Splitting -- 3.3 DC-Voltage Blocking and Pulsating-Voltage Filtering -- 3.4 Magnetic Coupling -- 3.5 DC Transformer -- 3.6 Switch Grafting 3.7 Diode Grafting -- 3.8 Layer Scheme -- Further Reading -- Chapter 4 Decoding Process -- 4.1 Transfer Ratios (Codes) -- 4.2 Transfer Code Configurations -- 4.2.1 Cascade Configuration -- 4.2.2 Feedback Configuration -- 4.2.3 Feedforward Configuration -- 4.2.4 Parallel Configuration -- 4.3 Decoding Approaches -- 4.3.1 Factorization -- 4.3.2 Long Division -- 4.3.3 Cross Multiplication -- 4.4 Decoding of Transfer Codes with Multivariables -- 4.5 Decoding with Component-Interconnected Expression -- Further Reading -- Chapter 5 Synthesizing Process with Graft Scheme -- 5.1 Cell Approaches 5.1.1 P-Cell and N-Cell -- 5.1.2 Tee Canonical Cell and Pi Canonical Cell -- 5.1.3 Switched-Capacitor Cell and Switched-Inductor Cell -- 5.1.4 Inductor-Capacitor Component Cells -- 5.2 Converter Grafting Scheme -- 5.2.1 Synchronous Switch Operation -- 5.2.2 Grafting Active Switches -- 5.2.3 Grafting Passive Switches -- 5.3 Illustration of Grafting Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1.1 Graft Boost on Buck -- 5.3.1.2 Graft Buck on Boost -- 5.3.1.3 Graft Buck on Buck-Boost -- 5.3.1.4 Graft Boost on Boost-Buck 5.3.1.5 Buck in Parallel with Buck-Boost -- 5.3.1.6 Grafting Buck on Buck to Achieve High Step-Down Voltage Conversion -- 5.3.1.7 Grafting Boost on Boost to Achieve High Step-up Voltage Conversion -- 5.3.1.8 Grafting Boost (CCM) on Buck (DCM) -- 5.3.1.9 Cascode Complementary Zeta with Buck -- 5.3.2 Grafting Various Types of Converters -- 5.3.2.1 Grafting Half-Bridge Resonant Inverter on Dither Boost Converter -- 5.3.2.2 Grafting Half-Bridge Resonant Inverter on Bidirectional Flyback Converter -- 5.3.2.3 Grafting Class-E Converter on Boost Converter |
| ctrlnum | (OCoLC)1153991377 (DE-599)BVBBV046696644 |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| discipline_str_mv | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Electronic eBook |
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| id | DE-604.BV046696644 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:26:50Z |
| indexdate | 2024-07-10T08:51:23Z |
| institution | BVB |
| isbn | 9781119633075 9781523137046 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032107286 |
| oclc_num | 1153991377 |
| open_access_boolean | |
| owner | DE-92 DE-91G DE-BY-TUM |
| owner_facet | DE-92 DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xviii, 398 Seiten) Illustrationen |
| psigel | ZDB-30-PQE ZDB-10-ESC ZDB-10-ESC TUM_Lizenz |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Wiley |
| record_format | marc |
| spelling | Wu, Tsai-Fu 1961- Verfasser aut Origin of power converters decoding, synthesizing, and modeling Tsai-Fu Wu, National Tsing Hua University, Taiwan, ROC, Yu-Kai Chen, National Formosa University, Taiwan, ROC Hoboken, NJ, USA Wiley 2020 1 Online-Ressource (xviii, 398 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- About the Authors -- Part I Decoding and Synthesizing -- Chapter 1 Introduction -- 1.1 Power Processing Systems -- 1.2 Non-PWM Converters Versus PWM Converters -- 1.2.1 Non-PWM Converters -- 1.2.2 PWM Power Converters -- 1.3 Well-Known PWM Converters -- 1.4 Approaches to Converter Development -- 1.5 Evolution -- 1.6 About the Text -- 1.6.1 Part I: Decoding and Synthesizing -- 1.6.2 Part II: Modeling and Applications -- Further Reading -- Chapter 2 Discovery of Original Converter 2.1 Creation of Original Converter -- 2.1.1 Source-Load Approach -- 2.1.2 Proton-Neutron-Meson Analogy -- 2.1.3 Resonance Approach -- 2.2 Fundamental PWM Converters -- 2.2.1 Voltage Transfer Ratios -- 2.2.2 CCM Operation -- 2.2.3 DCM Operation -- 2.2.4 Inverse Operation -- 2.3 Duality -- Further Reading -- Chapter 3 Fundamentals -- 3.1 DC Voltage and Current Offsetting -- 3.1.1 DC Voltage Offsetting -- 3.1.2 DC Current Offsetting -- 3.2 Capacitor and Inductor Splitting -- 3.3 DC-Voltage Blocking and Pulsating-Voltage Filtering -- 3.4 Magnetic Coupling -- 3.5 DC Transformer -- 3.6 Switch Grafting 3.7 Diode Grafting -- 3.8 Layer Scheme -- Further Reading -- Chapter 4 Decoding Process -- 4.1 Transfer Ratios (Codes) -- 4.2 Transfer Code Configurations -- 4.2.1 Cascade Configuration -- 4.2.2 Feedback Configuration -- 4.2.3 Feedforward Configuration -- 4.2.4 Parallel Configuration -- 4.3 Decoding Approaches -- 4.3.1 Factorization -- 4.3.2 Long Division -- 4.3.3 Cross Multiplication -- 4.4 Decoding of Transfer Codes with Multivariables -- 4.5 Decoding with Component-Interconnected Expression -- Further Reading -- Chapter 5 Synthesizing Process with Graft Scheme -- 5.1 Cell Approaches 5.1.1 P-Cell and N-Cell -- 5.1.2 Tee Canonical Cell and Pi Canonical Cell -- 5.1.3 Switched-Capacitor Cell and Switched-Inductor Cell -- 5.1.4 Inductor-Capacitor Component Cells -- 5.2 Converter Grafting Scheme -- 5.2.1 Synchronous Switch Operation -- 5.2.2 Grafting Active Switches -- 5.2.3 Grafting Passive Switches -- 5.3 Illustration of Grafting Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1.1 Graft Boost on Buck -- 5.3.1.2 Graft Buck on Boost -- 5.3.1.3 Graft Buck on Buck-Boost -- 5.3.1.4 Graft Boost on Boost-Buck 5.3.1.5 Buck in Parallel with Buck-Boost -- 5.3.1.6 Grafting Buck on Buck to Achieve High Step-Down Voltage Conversion -- 5.3.1.7 Grafting Boost on Boost to Achieve High Step-up Voltage Conversion -- 5.3.1.8 Grafting Boost (CCM) on Buck (DCM) -- 5.3.1.9 Cascode Complementary Zeta with Buck -- 5.3.2 Grafting Various Types of Converters -- 5.3.2.1 Grafting Half-Bridge Resonant Inverter on Dither Boost Converter -- 5.3.2.2 Grafting Half-Bridge Resonant Inverter on Bidirectional Flyback Converter -- 5.3.2.3 Grafting Class-E Converter on Boost Converter "This book identifies the original converter before moving on to develop and model power converters systematically based on decoding and synthesizing approaches. The first part of the book presents an introduction, discovery of the original converter, and some fundamentals related to power converter synthesis and evolution. It also provides an illustration of converter synthesis approaches, synthesis of multi-stage/multi-level converters, extension of hard--witching converters to soft-switching ones, and determination of switch-voltage stresses in the converters. In the second part of the book, the authors review conventional two-port network theory and state-space averaged (SSA) modeling approach, from which systematic modeling approaches based on the graft switch technique. The converter layer scheme and some fundamental circuit theories are also presented. A power converter is an electrical or electro-mechanical device for converting electrical energy. This could be as simple as a transformer to change the voltage of AC power, but also includes far more complex systems. The term can also refer to a class of electrical machinery that is used to convert one frequency of alternating current into another frequency. Power conversion systems often incorporate redundancy and voltage regulation. One way of classifying power conversion systems is according to whether the input and output are alternating current (AC) or direct current (DC)"-- Leistungselektronik (DE-588)4035235-3 gnd rswk-swf Pulsdauermodulation (DE-588)4176339-7 gnd rswk-swf Electric current converters Electronic books Leistungselektronik (DE-588)4035235-3 s Pulsdauermodulation (DE-588)4176339-7 s DE-604 Chen, Yu-Kai 1967- Verfasser aut Erscheint auch als Druck-Ausgabe Wu, Tsai-Fu, 1961- Origin of power converters Hoboken, NJ, USA : John Wiley & Sons, Inc. , 2020 978-1-119-63298-6 http://public.eblib.com/choice/PublicFullRecord.aspx?p=6166908 |
| spellingShingle | Wu, Tsai-Fu 1961- Chen, Yu-Kai 1967- Origin of power converters decoding, synthesizing, and modeling Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- About the Authors -- Part I Decoding and Synthesizing -- Chapter 1 Introduction -- 1.1 Power Processing Systems -- 1.2 Non-PWM Converters Versus PWM Converters -- 1.2.1 Non-PWM Converters -- 1.2.2 PWM Power Converters -- 1.3 Well-Known PWM Converters -- 1.4 Approaches to Converter Development -- 1.5 Evolution -- 1.6 About the Text -- 1.6.1 Part I: Decoding and Synthesizing -- 1.6.2 Part II: Modeling and Applications -- Further Reading -- Chapter 2 Discovery of Original Converter 2.1 Creation of Original Converter -- 2.1.1 Source-Load Approach -- 2.1.2 Proton-Neutron-Meson Analogy -- 2.1.3 Resonance Approach -- 2.2 Fundamental PWM Converters -- 2.2.1 Voltage Transfer Ratios -- 2.2.2 CCM Operation -- 2.2.3 DCM Operation -- 2.2.4 Inverse Operation -- 2.3 Duality -- Further Reading -- Chapter 3 Fundamentals -- 3.1 DC Voltage and Current Offsetting -- 3.1.1 DC Voltage Offsetting -- 3.1.2 DC Current Offsetting -- 3.2 Capacitor and Inductor Splitting -- 3.3 DC-Voltage Blocking and Pulsating-Voltage Filtering -- 3.4 Magnetic Coupling -- 3.5 DC Transformer -- 3.6 Switch Grafting 3.7 Diode Grafting -- 3.8 Layer Scheme -- Further Reading -- Chapter 4 Decoding Process -- 4.1 Transfer Ratios (Codes) -- 4.2 Transfer Code Configurations -- 4.2.1 Cascade Configuration -- 4.2.2 Feedback Configuration -- 4.2.3 Feedforward Configuration -- 4.2.4 Parallel Configuration -- 4.3 Decoding Approaches -- 4.3.1 Factorization -- 4.3.2 Long Division -- 4.3.3 Cross Multiplication -- 4.4 Decoding of Transfer Codes with Multivariables -- 4.5 Decoding with Component-Interconnected Expression -- Further Reading -- Chapter 5 Synthesizing Process with Graft Scheme -- 5.1 Cell Approaches 5.1.1 P-Cell and N-Cell -- 5.1.2 Tee Canonical Cell and Pi Canonical Cell -- 5.1.3 Switched-Capacitor Cell and Switched-Inductor Cell -- 5.1.4 Inductor-Capacitor Component Cells -- 5.2 Converter Grafting Scheme -- 5.2.1 Synchronous Switch Operation -- 5.2.2 Grafting Active Switches -- 5.2.3 Grafting Passive Switches -- 5.3 Illustration of Grafting Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1 Grafting the Well-Known PWM Converters -- 5.3.1.1 Graft Boost on Buck -- 5.3.1.2 Graft Buck on Boost -- 5.3.1.3 Graft Buck on Buck-Boost -- 5.3.1.4 Graft Boost on Boost-Buck 5.3.1.5 Buck in Parallel with Buck-Boost -- 5.3.1.6 Grafting Buck on Buck to Achieve High Step-Down Voltage Conversion -- 5.3.1.7 Grafting Boost on Boost to Achieve High Step-up Voltage Conversion -- 5.3.1.8 Grafting Boost (CCM) on Buck (DCM) -- 5.3.1.9 Cascode Complementary Zeta with Buck -- 5.3.2 Grafting Various Types of Converters -- 5.3.2.1 Grafting Half-Bridge Resonant Inverter on Dither Boost Converter -- 5.3.2.2 Grafting Half-Bridge Resonant Inverter on Bidirectional Flyback Converter -- 5.3.2.3 Grafting Class-E Converter on Boost Converter Leistungselektronik (DE-588)4035235-3 gnd Pulsdauermodulation (DE-588)4176339-7 gnd |
| subject_GND | (DE-588)4035235-3 (DE-588)4176339-7 |
| title | Origin of power converters decoding, synthesizing, and modeling |
| title_auth | Origin of power converters decoding, synthesizing, and modeling |
| title_exact_search | Origin of power converters decoding, synthesizing, and modeling |
| title_exact_search_txtP | Origin of power converters decoding, synthesizing, and modeling |
| title_full | Origin of power converters decoding, synthesizing, and modeling Tsai-Fu Wu, National Tsing Hua University, Taiwan, ROC, Yu-Kai Chen, National Formosa University, Taiwan, ROC |
| title_fullStr | Origin of power converters decoding, synthesizing, and modeling Tsai-Fu Wu, National Tsing Hua University, Taiwan, ROC, Yu-Kai Chen, National Formosa University, Taiwan, ROC |
| title_full_unstemmed | Origin of power converters decoding, synthesizing, and modeling Tsai-Fu Wu, National Tsing Hua University, Taiwan, ROC, Yu-Kai Chen, National Formosa University, Taiwan, ROC |
| title_short | Origin of power converters |
| title_sort | origin of power converters decoding synthesizing and modeling |
| title_sub | decoding, synthesizing, and modeling |
| topic | Leistungselektronik (DE-588)4035235-3 gnd Pulsdauermodulation (DE-588)4176339-7 gnd |
| topic_facet | Leistungselektronik Pulsdauermodulation |
| url | http://public.eblib.com/choice/PublicFullRecord.aspx?p=6166908 |
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