Строительный блокнот  Introduction to electronics 

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13.5

Several Types of Magnetic Devices, Their В~И Loops,

and Core v.s. Copper Loss

13.5.1 Filter Inductor

13.5.2 AC Inductor

13.5.3 Transformer

13.5.4 Coupled Inductor

13.5.5 Flyback Transformer

13.6

Summary of Key Points

References

Problems

Inductor Design

14.1

Filter Inductor Design Constraints

14.1.1 Maximum Flux Density

14.1.2 Inductance

14.1.3 Winding Area

14.1.4 Winding Resistance

14,1.5 Tlie Core Geometrical Constant

A Step-by-Step Procedure

14.3

Multiple-Winding Magnetics Design via the Method

14.3.1 Window Area Allocation

14.3.2 Coupled Inductor Design Con.straint.s

14.3.3 Design Procedure

Examples

14.4.1 Coupled Inductor for a Two-Output Forward Converter

14.4.2 CCM Flyback Transformer

Summary of Key Poiuts

References

Problems

Tran-slormer I>&4ign

15.1

Transformer Design: Basic Constraints

15.1.1 Core Loss

15.1.2 Flux Density

15.1.3 Copper Loss

15.1.4 Total Power Loss vs. AS

15.1.5 Optimum Flux Density

15.2

A Step-by-Step Transformer Design Procedure

15.3

Examples

15.3.1 Example 1: Single-Output Isolated Cuk Ctjnverter

15.3.2 Example 2: Multiple-Output Full-Bridge Buck Converter

15.4

AC Inductor Design

15.4.1 Outline of Derivation

15.4.2 Step-by-Step AC Inductor Design Procedure



15.5 Summary 583

References 583

Problems 584

IV Modern Rectifiers and Power System Harmonics SS7

16 Puwer and Harmimics in Nonsinusoidal Systems S89

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, Nonsinnsolilal 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 Cnrrents 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.fi AC Line Current Flarmonic Standards 603

16.6.1 International Electrotechnical Commission Standard 1000 603

16.6.2 lEEE/ANSl Standard 519 604 Bibliography 605 Problems 605

17 Lint;-Ct>niinutted Rectifiers Ш

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 С is Large 612

17.1.4 Minimizing ГЯDwhenCis 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 IVIodulated Rectifiers 637 18.1 Properties of the Ideal Rectifier 638



15.2 Realizationof a Neai-ldeal Rectifiei- 640

18.2.1 CCM B()().4t Converter 642

18.2.2 DCM Flyback Converter 646

15.3 Control of the Cm-rent Waveform 64S

18.3.1 Average Current Control 648

18.3.2 Current Programmed Control 654

18.3.3 Critical Conduction Mode and Hy.steretic Control 657

18.3.4 Nonlinear Carrier Control 659

15.4 Single-Phase Convetter Sy.stems Incorporating Ideal Rectifier.4 663

15.4.1 Energy Storage 663

15.4.2 Modeling the Outer Low-Bandvf idth Control System 668

15.5 RMS Values of Rectifier Waveforms 673

18.5.1 Boost Rectifier Example 674

18.5.2 Сотрагкчоп of Singie-Pliase Rectifier Topologies 676

15.6 Modeling Losses atid Efficiency in CCM High-Quality Rectifiers 678

15.6.1 Expression for Controller Dnty Cycle rf(f) 679

18.6.2 Expression for the DC Load Current 681

18.6.3 Solution for Converter Efficiency Г1 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 Analysi,4 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 St)lution of Converter Voltage Conversion Ratio M= V/V 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 Piiraiiel Resonant DC-DC Conveiter Example 718

19.3 St)ft Switching 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 Characteri.4tics 727

19.4.2 Dependence of Tran.si.stor Current on Load 729

19.4.3 Dependence of the ZVS/ZCS Boundary on Lt>ad Resistauce 734



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