Fundamentals of power electronics:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Norwell, Mass. [u.a.]
Kluwer Acad.
2001
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| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Ausführliche Beschreibung Beschreibung für Leser Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XXI, 883 S. graph. Darst. |
| ISBN: | 0792372700 9780792372707 |
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MARC
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| 100 | 1 | |a Erickson, Robert W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fundamentals of power electronics |c Robert W. Erickson ; Dragan Maksimović |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Norwell, Mass. [u.a.] |b Kluwer Acad. |c 2001 | |
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| adam_text | Titel: Fundamentals of power electronics
Autor: Erickson, Robert W.
Jahr: 2001
Contents
Preface xix
1 Introduction 1
1.1 Introduction to Power Processing 1
1.2 Several Applications of Power Electronics 7
1.3 Elements of Power Electronics 9
References
1 Converters in Equilibrium 11
2 Principles of Steady State Converter Analysis 13
2.1 Introduction 13
2.2 Inductor Volt-Second Balance, Capacitor Charge Balance, and the Small-Ripple
Approximation 15
2.3 Boost Converter Example 22
2.4 6uk Converter Example 27
2.5 Estimating the Output Voltage Ripple in Converters Containing Two-Pole
Low-Pass Filters 31
2.6 Summary of Key Points 34
References 34
Problems 35
3 Steady-State Equivalent Circuit Modeling, Losses, and Efficiency 39
3.1 The DC Transformer Model 39
3.2 Inclusion of Inductor Copper Loss 42
3.3 Construction of Equivalent Circuit Model 45
viii Contents
3.3.1 Inductor Voltage Equation 46
3.3.2 Capacitor Current Equation 46
3.3.3 Complete Circuit Model 47
3.3.4 Efficiency 48
3.4 How to Obtain the Input Port of the Model 50
3.5 Example: Inclusion of Semiconductor Conduction Losses in the Boost
Converter Model 52
3.6 Summary of Key Points 56
References 56
Problems 57
4 Switch Realization 63
4.1 Switch Applications 65
4.1.1 Single-Quadrant Switches 65
4.1.2 Current-Bidirectional Two-Quadrant Switches 67
4.1.3 Voltage-Bidirectional Two-Quadrant Switches 71
4.1.4 Four-Quadrant Switches 72
4.1.5 Synchronous Rectifiers 73
4.2 A Brief Survey of Power Semiconductor Devices 74
4.2.1 Power Diodes 75
4.2.2 Metal-Oxide-Semiconductor Field-Effect Transistor (MOSFET) 78
4.2.3 Bipolar Junction Transistor (BJT) 81
4.2.4 Insulated Gate Bipolar Transistor (IGBT) 86
4.2.5 Thyristors (SCR, GTO, MCT) 88
4.3 Switching Loss . 92
4.3.1 Transistor Switching with Clamped Inductive Load 93
4.3.2 Diode Recovered Charge 96
4.3.3 Device Capacitances, and Leakage, Package, and Stray Inductances 98
4.3.4 Efficiency vs. Switching Frequency 100
4.4 Summary of Key Points 101
References 102
Problems 103
5 The Discontinuous Conduction Mode 107
5.1 Origin of the Discontinuous Conduction Mode, and Mode Boundary 108
5.2 Analysis of the Conversion Ratio M(D,K) 112
5.3 Boost Converter Example 117
5.4 Summary of Results and Key Points 124
Problems 126
6 Converter Circuits 131
6.1 Circuit Manipulations 132
6.1.1 Inversion of Source and Load 132
6.1.2 Cascade Connection of Converters 134
6.1.3 Rotation of Three-Terminal Cell 137
Contents ix
6.1.4 Differential Connection of the Load 138
6.2 A Short List of Converters 143
6.3 Transformer Isolation 146
6.3.1 Full-Bridge and Half-Bridge Isolated Buck Converters 149
6.3.2 Forward Converter 154
6.3.3 Push-Pull Isolated Buck Converter 159
6.3.4 Flyback Converter 161
6.3.5 Boost-Derived Isolated Converters 165
6.3.6 Isolated Versions of the SEPIC and the Cuk Converter 168
6.4 Converter Evaluation and Design 171
6.4.1 Switch Stress and Utilization 171
6.4.2 Design Using Computer Spreadsheet 174
6.5 Summary of Key Points 177
References 177
Problems 179
II Converter Dynamics and Control 185
7 AC Equivalent Circuit Modeling 187
7.1 Introduction 187
7.2 The Basic AC Modeling Approach 192
7.2.1 Averaging the Inductor Waveforms 193
7.2.2 Discussion of the Averaging Approximation 194
7.2.3 Averaging the Capacitor Waveforms 196
7.2.4 The Average Input Current 197
7.2.5 Perturbation and Linearization 197
7.2.6 Construction of the Small-Signal Equivalent Circuit Model 201
7.2.7 Discussion of the Perturbation and Linearization Step 202
7.2.8 Results for Several Basic Converters 204
7.2.9 Example: A Nonideal Flyback Converter 204
7.3 State-Space Averaging 213
7.3.1 The State Equations of a Network 213
7.3.2 The Basic State-Space Averaged Model 216
7.3.3 Discussion of the State-Space Averaging Result 217
7.3.4 Example: State-Space Averaging of a Nonideal Buck-Boost Converter 221
7.4 Circuit Averaging and Averaged Switch Modeling 226
7.4.1 Obtaining a Time-Invariant Circuit 228
7.4.2 Circuit Averaging 229
7.4.3 Perturbation and Linearization 232
7.4.4 Switch Networks 235
7.4.5 Example: Averaged Switch Modeling of Conduction Losses 242
7.4.6 Example: Averaged Switch Modeling of Switching Losses 244
7.5 The Canonical Circuit Model 247
7.5.1 Development of the Canonical Circuit Model 248
x Contents
7.5.2 Example: Manipulation of the Buck-Boost Converter Model
into Canonical Form 250
7.5.3 Canonical Circuit Parameter Values for Some Common Converters 252
7.6 Modeling the Pulse-Width Modulator 253
7.7 Summary of Key Points 256
References 257
Problems 258
8 Converter Transfer Functions 265
8.1 Review of Bode Plots 267
8.1.1 Single Pole Response 269
8.1.2 Single Zero Response 275
8.1.3 Right Half-Plane Zero 276
8.1.4 Frequency Inversion 277
8.1.5 Combinations 278
8.1.6 Quadratic Pole Response: Resonance 282
8.1.7 The Low-g Approximation 287
8.1.8 Approximate Roots of an Arbitrary-Degree Polynomial 289
8.2 Analysis of Converter Transfer Functions 293
8.2.1 Example: Transfer Functions of the Buck-Boost Converter 294
8.2.2 Transfer Functions of Some Basic CCM Converters 300
8.2.3 Physical Origins of the RHP Zero in Converters 300
8.3 Graphical Construction of Impedances and Transfer Functions 302
8.3.1 Series Impedances: Addition of Asymptotes 303
8.3.2 Series Resonant Circuit Example 305
8.3.3 Parallel Impedances: Inverse Addition of Asymptotes 308
8.3.4 Parallel Resonant Circuit Example 309
8.3.5 Voltage Divider Transfer Functions: Division of Asymptotes 311
8.4 Graphical Construction of Converter Transfer Functions 313
8.5 Measurement of AC Transfer Functions and Impedances 317
8.6 Summary of Key Points 321
References 322
Problems 322
9 Controller Design 331
9.1 Introduction 331
9.2 Effect of Negative Feedback on the Network Transfer Functions 334
9.2.1 Feedback Reduces the Transfer Functions
from Disturbances to the Output 335
9.2.2 Feedback Causes the Transfer Function from the Reference Input
to the Output to be Insensitive to Variations in the Gains in the
Forward Path of the Loop 337
9.3 Construction of the Important Quantities 1/(1 + T) and 77(1 + T)
and the Closed-Loop Transfer Functions 337
9.4 Stability 340
Contents xi
9.4.1 The Phase Margin Test 341
9.4.2 The Relationship Between Phase Margin
and Closed-Loop Damping Factor 342
9.4.3 Transient Response vs. Damping Factor 346
9.5 Regulator Design 347
9.5.1 Lead (PZ ) Compensator 348
9.5.2 Lag (77) Compensator 351
9.5.3 Combined (PID) Compensator 353
9.5.4 Design Example 354
9.6 Measurement of Loop Gains 362
9.6.1 Voltage Injection 364
9.6.2 Current Injection 367
9.6.3 Measurement of Unstable Systems 368
9.7 Summary of Key Points 369
References 369
Problems 369
10 Input Filter Design 377
10.1 Introduction 377
10.1.1 Conducted EMI 377
10.1.2 The Input Filter Design Problem 379
10.2 Effect of an Input Filter on Converter Transfer Functions 381
10.2.1 Discussion 382
10.2.2 Impedance Inequalities 384
10.3 Buck Converter Example 385
10.3.1 Effect of Undamped Input Filter 385
10.3.2 Damping the Input Filter 391
10.4 Design of a Damped Input Filter 392
10.4.1 Rf-Cb Parallel Damping 395
10.4.2 Rf-Lb Parallel Damping 396
10.4.3 Rf-Lb Series Damping 398
10.4.4 Cascading Filter Sections 398
10.4.5 Example: Two Stage Input Filter 400
10.5 Summary of Key Points 403
References 405
Problems 406
11 AC and DC Equivalent Circuit Modeling of the Discontinuous Conduction Mode 409
11.1 DCM Averaged Switch Model 410
11.2 Small-Signal AC Modeling of the DCM Switch Network 420
11.2.1 Example: Control-to-Output Frequency Response
of a DCM Boost Converter 428
11.2.2 Example: Control-to-Output Frequency Responses
of a CCM/DCM SEPIC 429
xii Contents
11.3 High-Frequency Dynamics of Converters in DCM 431
11.4 Summary of Key Points 434
References 434
Problems 435
12 Current Programmed Control 439
12.1 Oscillation for D 0.5 441
12.2 A Simple First-Order Model 449
12.2.1 Simple Model via Algebraic Approach: Buck-Boost Example 450
12.2.2 Averaged Switch Modeling 454
12.3 A More Accurate Model 459
12.3.1 Current-Programmed Controller Model 459
12.3.2 Solution of the CPM Transfer Functions 462
12.3.3 Discussion 465
12.3.4 Current-Programmed Transfer Functions of the CCM Buck Converter 466
12.3.5 Results for Basic Converters 469
12.3.6 Quantitative Effects of Current-Programmed Control
on the Converter Transfer Functions 471
12.4 Discontinuous Conduction Mode 473
12.5 Summary of Key Points 480
References 481
Problems 482
III Magnetics 489
13 Basic Magnetics Theory 491
13.1 Review of Basic Magnetics 491
13.1.1 Basic Relationships 491
13.1.2 Magnetic Circuits 498
13.2 Transformer Modeling 501
13.2.1 The Ideal Transformer 502
13.2.2 The Magnetizing Inductance 502
13.2.3 Leakage Inductances 504
13.3 Loss Mechanisms in Magnetic Devices 506
13.3.1 Core Loss 506
13.3.2 Low-Frequency Copper Loss 508
13.4 Eddy Currents in Winding Conductors 508
13.4.1 Introduction to the Skin and Proximity Effects 508
13.4.2 Leakage Flux in Windings 512
13.4.3 Foil Windings and Layers 514
13.4.4 Power Loss in a Layer 515
13.4.5 Example: Power Loss in a Transformer Winding 518
13.4.6 Interleaving the Windings 520
13.4.7 PWM Waveform Harmonics 522
Contents xiii
13.5 Several Types of Magnetic Devices, Their B-H Loops,
and Core vs. Copper Loss 525
13.5.1 Filter Inductor 525
13.5.2 AC Inductor 527
13.5.3 Transformer 528
13.5.4 Coupled Inductor 529
13.5.5 Flyback Transformer 530
13.6 Summary of Key Points 531
References 532
Problems 533
14 Inductor Design 539
14.1 Filter Inductor Design Constraints 539
14.1.1 Maximum Flux Density 541
14.1.2 Inductance 542
14.1.3 Winding Area 542
14.1.4 Winding Resistance 543
14.1.5 The Core Geometrical Constant Kg 543
14.2 A Step-by-Step Procedure 544
14.3 Multiple-Winding Magnetics Design via the K Method 545
14.3.1 Window Area Allocation 545
14.3.2 Coupled Inductor Design Constraints 550
14.3.3 Design Procedure 552
14.4 Examples 554
14.4.1 Coupled Inductor for a Two-Output Forward Converter 554
14.4.2 CCM Flyback Transformer 557
14.5 Summary of Key Points 562
References 562
Problems 563
15 Transformer Design 565
15.1 Transformer Design: Basic Constraints 565
15.1.1 Core Loss 566
15.1.2 Flux Density 566
15.1.3 Copper Loss 567
15.1.4 Total Power Loss vs. AS 568
15.1.5 Optimum Flux Density 569
15.2 A Step-by-Step Transformer Design Procedure 570
15.3 Examples 573
15.3.1 Example 1: Single-Output Isolated Cuk Converter 573
15.3.2 Example 2: Multiple-Output Full-Bridge Buck Converter 576
15.4 AC Inductor Design 580
15.4.1 Outline of Derivation 580
15.4.2 Step-by-Step AC Inductor Design Procedure 582
xiv Contents
15.5 Summary 583
References 583
Problems 584
IV Modern Rectifiers and Power System Harmonics 587
16 Power and Harmonics in Nonsinusoidal Systems 589
16.1 Average Power 590
16.2 Root-Mean-Square (RMS) Value of a Waveform 593
16.3 Power Factor 594
16.3.1 Linear Resistive Load, Nonsinusoidal Voltage 594
16.3.2 Nonlinear Dynamic Load, Sinusoidal Voltage 595
16.4 Power Phasors in Sinusoidal Systems 598
16.5 Harmonic Currents in Three-Phase Systems 599
16.5.1 Harmonic Currents in Three-Phase Four-Wire Networks 599
16.5.2 Harmonic Currents in Three-Phase Three-Wire Networks 601
16.5.3 Harmonic Current Flow in Power Factor Correction Capacitors 602
16.6 AC Line Current Harmonic Standards 603
16.6.1 International Electrotechnical Commission Standard 1000 603
16.6.2 IEEE/ANSI Standard 519 604
Bibliography 605
Problems 605
17 Line-Commutated Rectifiers 609
17.1 The Single-Phase Full-Wave Rectifier 609
17.1.1 Continuous Conduction Mode 610
17.1.2 Discontinuous Conduction Mode 611
17.1.3 Behavior when C is Large 612
17.1.4 Minimizing THD when C is Small 613
17.2 The Three-Phase Bridge Rectifier 615
17.2.1 Continuous Conduction Mode 615
17.2.2 Discontinuous Conduction Mode 616
17.3 Phase Control 617
17.3.1 Inverter Mode 619
17.3.2 Harmonics and Power Factor 619
17.3.3 Commutation 620
17.4 Harmonic Trap Filters 622
17.5 Transformer Connections 628
17.6 Summary 630
References 631
Problems 632
18 Pulse-Width Modulated Rectifiers 637
18.1 Properties of the Ideal Rectifier 638
Contents xv
18.2 Realization of a Near-Ideal Rectifier 640
18.2.1 CCM Boost Converter 642
18.2.2 DCM Flyback Converter 646
18.3 Control of the Current Waveform 648
18.3.1 Average Current Control 648
18.3.2 Current Programmed Control 654
18.3.3 Critical Conduction Mode and Hysteretic Control 657
18.3.4 Nonlinear Carrier Control 659
18.4 Single-Phase Converter Systems Incorporating Ideal Rectifiers 663
18.4.1 Energy Storage 663
18.4.2 Modeling the Outer Low-Bandwidth Control System 668
18.5 RMS Values of Rectifier Waveforms 673
18.5.1 Boost Rectifier Example 674
18.5.2 Comparison of Single-Phase Rectifier Topologies 676
18.6 Modeling Losses and Efficiency in CCM High-Quality Rectifiers 678
18.6.1 Expression for Controller Duty Cycle d{i) 679
18.6.2 Expression for the DC Load Current 681
18.6.3 Solution for Converter Efficiency n 683
18.6.4 Design Example 684
18.7 Ideal Three-Phase Rectifiers 685
18.8 Summary of Key Points 691
References 692
Problems 696
V Resonant Converters 703
19 Resonant Conversion 705
19.1 Sinusoidal Analysis of Resonant Converters 709
19.1.1 Controlled Switch Network Model 710
19.1.2 Modeling the Rectifier and Capacitive Filter Networks 711
19.1.3 Resonant Tank Network 713
19.1.4 Solution of Converter Voltage Conversion Ratio M = V/Vg 714
19.2 Examples 715
19.2.1 Series Resonant DC-DC Converter Example 715
19.2.2 Subharmonic Modes of the Series Resonant Converter 717
19.2.3 Parallel Resonant DC-DC Converter Example 718
19.3 Softswitching 721
19.3.1 Operation of the Full Bridge Below Resonance:
Zero-Current Switching 722
19.3.2 Operation of the Full Bridge Above Resonance:
Zero-Voltage Switching 723
19.4 Load-Dependent Properties of Resonant Converters 726
19.4.1 Inverter Output Characteristics 727
19.4.2 Dependence of Transistor Current on Load 729
19.4.3 Dependence of the ZVS/ZCS Boundary on Load Resistance 734
xvi Contents
19 A A Another Example 737
19.5 Exact Characteristics of the Series and Parallel Resonant Converters 740
19.5.1 Series Resonant Converter 740
19.5.2 Parallel Resonant Converter 748
19.6 Summary of Key Points 752
References 752
Problems 755
20 Softswitching 761
20.1 Soft-Switching Mechanisms of Semiconductor Devices 762
20.1.1 Diode Switching 763
20.1.2 MOSFET Switching 765
20.1.3 IGBT Switching 768
20.2 The Zero-Current-Switching Quasi-Resonant Switch Cell 768
20.2.1 Waveforms of the Half-Wave ZCS Quasi-Resonant Switch Cell 770
20.2.2 The Average Terminal Waveforms 774
20.2.3 The Full-Wave ZCS Quasi-Resonant Switch Cell 779
20.3 Resonant Switch Topologies 781
20.3.1 The Zero-Voltage-Switching Quasi-Resonant Switch 783
20.3.2 The Zero-Voltage-Switching Multi-Resonant Switch 784
20.3.3 Quasi-Square-Wave Resonant Switches 787
20.4 Soft Switching in PWM Converters 790
20.4.1 The Zero-Voltage Transition Full-Bridge Converter 791
20.4.2 The Auxiliary Switch Approach 794
20.4.3 Auxiliary Resonant Commutated Pole 796
20.5 Summary of Key Points 797
References 798
Problems 800
Appendices 803
Appendix A RMS Values of Commonly-Observed Converter Waveforms 805
A.I Some Common Waveforms 805
A.2 General Piecewise Waveform 809
Appendix B Simulation of Converters 813
B. 1 Averaged Switch Models for Continuous Conduction Mode 815
B. 1.1 Basic CCM Averaged Switch Model 815
B. 1.2 CCM Subcircuit Model that Includes Switch Conduction Losses 816
B.1.3 Example: SEPIC DC Conversion Ratio and Efficiency 818
B.1.4 Example: Transient Response of a Buck-Boost Converter 819
B.2 Combined CCM/DCM Averaged Switch Model 822
B.2.1 Example: SEPIC Frequency Responses 825
B.2.2 Example: Loop Gain and Closed-Loop Responses
of a Buck Voltage Regulator 827
Contents xvii
B.2.3 Example: DCM Boost Rectifier 832
B.3 Current Programmed Control 834
B.3.1 Current Programmed Mode Model for Simulation 834
B.3.2 Example: Frequency Responses of a Buck Converter with
Current Programmed Control 837
References 840
Appendix C Middlebrook s Extra Element Theorem 843
C.I Basic Result 843
C.2 Derivation 846
C.3 Discussion 849
C.4 Examples 850
C.4.1 A Simple Transfer Function 850
C.4.2 An Unmodeled Element 855
C.4.3 Addition of an Input Filter to a Converter 857
C.4.4 Dependence of Transistor Current on Load in a Resonant Inverter 859
References 861
Appendix D Magnetics Design Tables 863
D.I Pot Core Data 864
D.2 EE Core Data 865
D.3 EC Core Data 866
D.4 ETD Core Data 866
D.5 PQ Core Data 867
D.6 American Wire Gauge Data 868
References 869
Index 871
|
| any_adam_object | 1 |
| author | Erickson, Robert W. Maksimović, Dragan |
| author_facet | Erickson, Robert W. Maksimović, Dragan |
| author_role | aut aut |
| author_sort | Erickson, Robert W. |
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| building | Verbundindex |
| bvnumber | BV013887518 |
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| callnumber-search | TK7881.15 TK7881.15 .E75 2001 |
| callnumber-sort | TK 47881.15 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | ZN 8340 |
| classification_tum | ELT 868f |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.381 |
| dewey-search | 621.381 |
| dewey-sort | 3621.381 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV013887518 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:53:50Z |
| institution | BVB |
| isbn | 0792372700 9780792372707 |
| language | English |
| lccn | 00052569 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009501125 |
| oclc_num | 45270412 |
| open_access_boolean | |
| owner | DE-703 DE-859 DE-706 DE-91 DE-BY-TUM DE-634 DE-29T |
| owner_facet | DE-703 DE-859 DE-706 DE-91 DE-BY-TUM DE-634 DE-29T |
| physical | XXI, 883 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Kluwer Acad. |
| record_format | marc |
| spelling | Erickson, Robert W. Verfasser aut Fundamentals of power electronics Robert W. Erickson ; Dragan Maksimović 2. ed. Norwell, Mass. [u.a.] Kluwer Acad. 2001 XXI, 883 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke ELETRÔNICA DE POTÊNCIA larpcal Power electronics Leistungselektronik (DE-588)4035235-3 gnd rswk-swf Leistungselektronik (DE-588)4035235-3 s DE-604 Maksimović, Dragan Verfasser aut Erscheint auch als Online-Ausgabe, PDF 978-0-306-48048-5 text/html http://www.springer.com/de/book/9780792372707 Ausführliche Beschreibung text/html http://www.loc.gov/catdir/enhancements/fy0820/00052569-d.html Publisher description Beschreibung für Leser text/html http://www.loc.gov/catdir/enhancements/fy0820/00052569-t.html Table of contents only Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009501125&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Erickson, Robert W. Maksimović, Dragan Fundamentals of power electronics ELETRÔNICA DE POTÊNCIA larpcal Power electronics Leistungselektronik (DE-588)4035235-3 gnd |
| subject_GND | (DE-588)4035235-3 |
| title | Fundamentals of power electronics |
| title_auth | Fundamentals of power electronics |
| title_exact_search | Fundamentals of power electronics |
| title_full | Fundamentals of power electronics Robert W. Erickson ; Dragan Maksimović |
| title_fullStr | Fundamentals of power electronics Robert W. Erickson ; Dragan Maksimović |
| title_full_unstemmed | Fundamentals of power electronics Robert W. Erickson ; Dragan Maksimović |
| title_short | Fundamentals of power electronics |
| title_sort | fundamentals of power electronics |
| topic | ELETRÔNICA DE POTÊNCIA larpcal Power electronics Leistungselektronik (DE-588)4035235-3 gnd |
| topic_facet | ELETRÔNICA DE POTÊNCIA Power electronics Leistungselektronik |
| url | http://www.springer.com/de/book/9780792372707 http://www.loc.gov/catdir/enhancements/fy0820/00052569-d.html http://www.loc.gov/catdir/enhancements/fy0820/00052569-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009501125&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ericksonrobertw fundamentalsofpowerelectronics AT maksimovicdragan fundamentalsofpowerelectronics |
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