Author Biography |
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xix | |
Preface |
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xxi | |
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1 PWM Dc-to-Dc Power Conversion |
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1 | (12) |
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1.1 PWM Dc-to-Dc Power Conversion |
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1 | (2) |
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1.1.1 Dc-to-Dc Power Conversion |
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1 | (2) |
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3 | (1) |
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1.2 Standalone Dc-to-Dc Power Conversion System |
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3 | (2) |
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1.2.1 Dc Source with Non-ideal Characteristics |
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4 | (1) |
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1.2.2 Dc-to-Dc Converter as Voltage Source |
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4 | (1) |
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1.2.3 Load as Dynamic Current Sink |
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5 | (1) |
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1.3 Features and Issues of PWM Dc-to-Dc Converter |
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5 | (1) |
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1.3.1 Dc-to-Dc Power Converter Circuits |
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5 | (1) |
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1.3.2 Dynamic Modeling and Analysis |
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5 | (1) |
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1.3.3 Dynamic Performance and Control Design |
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6 | (1) |
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1.4 Dc Power Distribution Systems |
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6 | (3) |
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1.4.1 Structure of Dc Power Distribution Systems |
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7 | (1) |
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1.4.2 Issues in Dc Power Distribution System Analysis and Design |
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8 | (1) |
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9 | (4) |
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1.5.1 Part I: Dc-to-Dc Converter Circuits |
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9 | (1) |
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1.5.2 Part II: Modeling and Dynamics of PWM Converters |
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9 | (1) |
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1.5.3 Part III: Control Schemes and Converter Performance |
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10 | (1) |
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1.5.4 Part IV: Dc Power Distribution Systems |
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10 | (3) |
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Part I Dc-to-Dc Power Converter Circuits |
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13 | (114) |
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15 | (48) |
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2.1 Ideal Step-Down Dc-to-Dc Power Conversion |
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15 | (2) |
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2.2 Buck Converter: Step-Down Dc-to-Dc Converter |
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17 | (5) |
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2.2.1 Evolution to Buck Converter |
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17 | (1) |
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2.2.2 Frequency-Domain Analysis |
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18 | (4) |
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2.3 Buck Converter in Start-up Transient |
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22 | (3) |
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2.3.1 Piecewise Linear Analysis |
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23 | (1) |
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23 | (2) |
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2.4 Buck Converter in Steady State |
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25 | (8) |
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2.4.1 Circuit Analysis Techniques |
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25 | (1) |
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2.4.1.1 Piecewise Linear Analysis |
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25 | (1) |
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2.4.1.2 Small-Ripple Approximation |
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25 | (1) |
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2.4.1.3 Flux Linkage Balance Condition and Charge Balance Condition |
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25 | (1) |
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2.4.2 Steady-State Analysis |
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26 | (2) |
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2.4.3 Evaluation of Output Voltage Ripple |
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28 | (1) |
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2.4.3.1 Evaluation with Ideal Capacitor |
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29 | (1) |
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2.4.3.2 Effects of Parasitic Resistance of Capacitor |
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30 | (3) |
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2.5 Buck Converter in Discontinuous Conduction Mode |
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33 | (7) |
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2.5.1 Origin of Discontinuous Conduction Mode Operation |
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33 | (1) |
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2.5.2 Conditions for DCM Operation |
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34 | (2) |
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2.5.3 Steady-State Operation in DCM |
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36 | (4) |
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2.6 Closed-Loop Control of Buck Converter |
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40 | (9) |
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2.6.1 Closed-Loop Feedback Controller |
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41 | (1) |
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2.6.1.1 Pulsewidth Modulation |
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41 | (1) |
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2.6.1.2 Voltage Feedback Circuit |
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42 | (2) |
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2.6.2 Transient Responses of Closed-Loop Controlled Buck Converter |
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44 | (1) |
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2.6.2.1 Step Input Response |
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45 | (2) |
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2.6.2.2 Step Load Response |
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47 | (1) |
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2.6.2.3 Operational Mode Change Response |
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48 | (1) |
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49 | (14) |
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50 | (13) |
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3 Dc-to-Dc Power Converter Circuits |
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63 | (64) |
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63 | (10) |
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3.1.1 Evolution to Boost Converter |
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64 | (1) |
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3.1.2 Steady-State Analysis in CCM |
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65 | (1) |
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3.1.2.1 Steady-State Operation in CCM |
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65 | (2) |
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3.1.2.2 Estimation of Output Voltage Ripple |
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67 | (2) |
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3.1.3 Steady-State Analysis in DCM |
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69 | (2) |
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3.1.4 Effects of Parasitic Resistance on Voltage Gain |
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71 | (2) |
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73 | (7) |
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3.2.1 Evolution to Buck/Boost Converter |
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74 | (1) |
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3.2.2 Steady-State Analysis in CCM |
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75 | (1) |
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3.2.2.1 Steady-State Operation in CCM |
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75 | (2) |
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3.2.2.2 Estimation of Output Voltage Ripple |
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77 | (1) |
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3.2.3 Steady-State Analysis in DCM |
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78 | (2) |
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3.3 Three Basic Converters |
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80 | (2) |
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3.3.1 Structure and Operation of Three Basic Converters |
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80 | (1) |
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3.3.2 Voltage Gain of Three Basic Converters |
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81 | (1) |
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3.4 Flyback Converter: Transformer-Isolated Buck/Boost Converter |
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82 | (6) |
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3.4.1 Evolution to Flyback Converter |
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82 | (1) |
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3.4.2 Steady-State Analysis in CCM |
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83 | (3) |
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3.4.3 Steady-State Analysis in DCM |
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86 | (2) |
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3.5 Bridge-Type Buck-Derived Isolated Dc-to-Dc Converters |
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88 | (11) |
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3.5.1 Switch Network and Multi-Winding Transformer |
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90 | (1) |
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3.5.1.1 Switch Network Structure |
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90 | (1) |
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3.5.1.2 Circuit Models for Multi-winding Transformers |
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90 | (3) |
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3.5.2 Full-Bridge Converter |
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93 | (1) |
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3.5.2.1 Operation with Ideal Transformer |
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94 | (1) |
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3.5.2.2 Effects of Magnetizing Inductance |
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95 | (2) |
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3.5.3 Half-Bridge Converter |
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97 | (1) |
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3.5.4 Push--Pull Converter |
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97 | (2) |
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99 | (10) |
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3.6.1 Basic Operational Principles |
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99 | (3) |
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3.6.1.1 Reset Problem and Reset Circuit |
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102 | (1) |
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3.6.1.2 Switch Network with Zener Diode Reset |
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102 | (1) |
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3.6.1.3 Switch Network with Tertiary Winding Reset |
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103 | (2) |
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3.6.2 Tertiary-Winding Reset Forward Converter |
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105 | (3) |
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3.6.3 Two-Switch Forward Converter |
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108 | (1) |
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109 | (18) |
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112 | (1) |
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112 | (15) |
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Part II Modeling and Dynamics of PWM Converters |
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127 | (160) |
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4 Modeling PWM Dc-to-Dc Converters |
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129 | (58) |
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4.1 Overview of PWM Converter Modeling |
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130 | (2) |
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4.1.1 Power Stage Modeling |
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130 | (1) |
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131 | (1) |
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4.1.3 Voltage Feedback Circuit and Small-Signal Model of PWM Converter |
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131 | (1) |
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4.2 Averaging Power Stage Dynamics |
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132 | (14) |
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4.2.1 State-Space Averaging Method |
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133 | (1) |
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4.2.1.1 Switched State-Space Model and Switching Function |
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133 | (2) |
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4.2.1.2 Continuous Duty Ratio and Averaged State-Space Model |
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135 | (3) |
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4.2.2 Circuit Averaging Technique |
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138 | (1) |
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4.2.2.1 Averaging Switch Drive Signal |
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138 | (1) |
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4.2.2.2 Procedure of Circuit Averaging |
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139 | (1) |
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139 | (2) |
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4.2.2.4 Averaging PWM Switch |
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141 | (2) |
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4.2.2.5 Average Models for Three Basic PWM Converters |
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143 | (3) |
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4.2.3 Circuit Averaging and State-Space Averaging |
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146 | (1) |
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4.3 Linearizing Averaged Power Stage Dynamics |
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146 | (8) |
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4.3.1 Linearization of Nonlinear Function and Small-Signal Model |
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147 | (1) |
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4.3.1.1 Single-Variable Nonlinear Functions |
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147 | (2) |
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4.3.1.2 Multiple-Variable Nonlinear Functions |
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149 | (1) |
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4.3.2 Small-Signal Model of PWM Switch - The PWM Switch Model |
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150 | (1) |
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4.3.3 Small-Signal Model of Converter Power Stage |
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151 | (3) |
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4.4 Frequency Response of Converter Power Stage |
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154 | (4) |
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4.4.1 Sinusoidal Response of Power Stage |
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154 | (2) |
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4.4.2 Frequency Response and s-domain Small-Signal Model |
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156 | (2) |
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4.5 Generalization of Power Stage Modeling |
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158 | (12) |
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4.5.1 Power Stage Modeling with Parasitic Resistances |
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159 | (1) |
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4.5.1.1 Buck Converter with Ideal Voltage Source |
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159 | (1) |
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4.5.1.2 Buck Converter with Input Filter |
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160 | (2) |
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4.5.1.3 Linearization of Averaged PWM Switch Equation |
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162 | (2) |
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4.5.1.4 Predictions of Refined Small-Signal Model |
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164 | (1) |
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4.5.2 Modeling PWM Converters in DCM Operation |
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165 | (1) |
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4.5.2.1 Averaged Equations for PWM Switch in DCM |
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165 | (2) |
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4.5.2.2 Linearization of Averaged Equation and Small-Signal Circuit Model |
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167 | (1) |
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4.5.3 Modeling Isolated PWM Converters |
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167 | (1) |
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4.5.3.1 Modeling Forward Converter and Bridge-Type Converters |
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168 | (2) |
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4.5.3.2 Modeling Flyback Converter |
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170 | (1) |
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4.6 Small-Signal Gain of PWM Block |
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170 | (3) |
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4.7 Universal Small-Signal Model for PWM Dc-to-Dc Converters |
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173 | (4) |
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4.7.1 Voltage Feedback Circuit |
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174 | (1) |
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4.7.1.1 Output Voltage Control |
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174 | (1) |
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4.7.1.2 Voltage Feedback Compensation |
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175 | (1) |
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4.7.2 Universal Small-Signal Model for PWM Converters |
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175 | (2) |
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177 | (10) |
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178 | (1) |
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178 | (9) |
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5 Power Stage Transfer Functions |
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187 | (54) |
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5.1 Bode Plot for Transfer Functions |
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187 | (16) |
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187 | (1) |
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5.1.1.1 Transfer Function |
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187 | (1) |
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5.1.1.2 Frequency Response |
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188 | (1) |
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5.1.1.3 Polar Plot and Bode Plot Representations |
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188 | (1) |
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5.1.2 Bode Plots for Multiplication Factors |
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189 | (1) |
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189 | (1) |
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5.1.2.2 Single and Double Integration Functions |
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189 | (2) |
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5.1.2.3 Single and Double Differentiation Functions |
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191 | (1) |
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5.1.2.4 Single Pole and Single Zero Functions |
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192 | (2) |
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5.1.2.5 Double Pole and Double Zero Functions |
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194 | (2) |
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5.1.2.6 RHP Pole and RHP Zero Functions |
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196 | (2) |
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5.1.3 Bode Plot Construction for Transfer Functions |
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198 | (1) |
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5.1.3.1 Examples of Bode Plot Construction |
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198 | (3) |
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5.1.3.2 Non-minimum Phase System |
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201 | (1) |
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5.1.4 Identification of Transfer Function from Bode Plot |
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202 | (1) |
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5.2 Power Stage Transfer Functions of Three Basic Converters in CCM Operation |
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203 | (17) |
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5.2.1 Power Stage Transfer Functions of Buck Converter |
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203 | (1) |
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5.2.1.1 Input-to-Output Transfer Function |
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203 | (4) |
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5.2.1.2 Duty Ratio-to-Output Transfer Function |
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207 | (2) |
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5.2.1.3 Load Current-to-Output Transfer Function |
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209 | (1) |
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5.2.2 Power Stage Transfer Functions of Boost Converter |
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210 | (1) |
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5.2.2.1 Input-to-Output Transfer Function |
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210 | (1) |
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5.2.2.2 Duty Ratio-to-Output Transfer Function and RHP Zero |
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211 | (4) |
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5.2.2.3 Load Current-to-Output Transfer Function |
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215 | (1) |
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5.2.2 A Functional Origin of RHP Zero |
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216 | (2) |
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5.2.3 Power Stage Transfer Functions of Buck/Boost Converter |
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218 | (2) |
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5.3 Power Stage Transfer Functions in DCM Operation |
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220 | (5) |
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5.3.1 Evaluation of DCM Transfer Functions |
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220 | (2) |
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5.3.2 Analysis of DCM Duty Ratio-to-Output Transfer Function |
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222 | (3) |
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5.4 Power Stage Transfer Functions of Isolated Converters |
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225 | (4) |
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5.4.1 Tertiary-Winding Reset Forward Converter |
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225 | (2) |
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227 | (2) |
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5.5 Empirical Methods for Small-Signal Analysis |
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229 | (2) |
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231 | (10) |
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232 | (1) |
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233 | (8) |
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6 Dynamic Performance of PWM Dc-to-Dc Converters |
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241 | (46) |
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241 | (2) |
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6.2 Frequency-Domain Performance Criteria |
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243 | (4) |
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243 | (2) |
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6.2.2 Audio-susceptibility |
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245 | (1) |
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246 | (1) |
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6.3 Time-Domain Performance Metrics |
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247 | (2) |
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247 | (2) |
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6.3.2 Step Input Response |
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249 | (1) |
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6.4 Stability of Dc-to-Dc Converters |
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249 | (7) |
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6.4.1 Stability of Linear Time-Invariant Systems |
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249 | (1) |
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6.4.1.1 Definition of BIBO Stability |
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250 | (1) |
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6.4.1.2 Unit Impulse Function and Impulse Response |
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250 | (2) |
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6.4.1.3 Impulse Response and BIBO Stability |
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252 | (2) |
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6.4.1.4 Pole Locations and BIBO Stability |
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254 | (1) |
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6.4.2 Small-Signal Stability of Dc-to-Dc Converters |
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255 | (1) |
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256 | (15) |
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6.5.1 Theoretical Foundation of Nyquist Criterion |
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256 | (1) |
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6.5.1.1 Contour Mapping from s-plane to F(s)-plane |
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256 | (1) |
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257 | (1) |
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6.5.2 Proof of Cauchy's Theorem |
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258 | (3) |
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6.5.2.1 Proof of Fact I and Fact II |
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261 | (1) |
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6.5.2.2 Cauchy's Theorem to Evaluate RHP Roots in 1 + T(s) = 0 |
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261 | (4) |
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6.5.3 Nyquist Stability Criterion |
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265 | (1) |
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6.5.4 Application of Nyquist Stability Criterion to Dc-to-Dc Converters |
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266 | (5) |
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6.6 Relative Stability: Gain Margin and Phase Margin |
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271 | (5) |
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276 | (11) |
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278 | (9) |
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Part III Control Schemes and Converter Performance |
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287 | (178) |
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7 Feedback Compensation and Closed-Loop Performance -- Voltage Mode Control |
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289 | (68) |
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7.1 Asymptotic Analysis Method |
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289 | (7) |
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7.1.1 Concept of Asymptotic Analysis Method |
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290 | (1) |
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7.1.2 Examples of Asymptotic Analysis Method |
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291 | (5) |
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7.1.2.1 Procedures for Asymptotic Analysis |
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296 | (1) |
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7.2 Analysis of Frequency-Domain Performance in CCM |
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296 | (5) |
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7.2.1 Audio-Susceptibility Analysis |
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298 | (1) |
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7.2.2 Output Impedance Analysis |
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299 | (2) |
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7.3 Voltage Feedback Compensation and CCM Loop Gain |
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301 | (5) |
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7.3.1 Problems of Single Integration Function |
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301 | (2) |
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7.3.2 Voltage Feedback Compensation |
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303 | (3) |
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7.4 Compensation Design and Closed-Loop Performance in CCM |
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306 | (28) |
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7.4.1 Voltage Feedback Compensation and Loop Gain |
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306 | (3) |
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7.4.2 Feedback Compensation Design Guidelines |
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309 | (1) |
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7.4.3 Voltage Feedback Compensation and Closed-Loop Performance |
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310 | (11) |
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7.4.4 Phase Margin and Closed-Loop Performance |
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321 | (4) |
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7.4.5 Compensation Zeros and Speed of Transient Responses |
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325 | (3) |
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328 | (3) |
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7.4.7 Non-Minimum Phase System Case: Boost and Buck/Boost Converters |
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331 | (1) |
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7.4.7.1 Boost and Buck/Boost Converters |
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331 | (3) |
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7.4.7.2 Alternative Control Scheme: Current Mode Control |
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334 | (1) |
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7.5 Consideration of DCM Operation |
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334 | (4) |
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7.5.1 Review of DCM Converter Dynamics |
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335 | (1) |
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7.5.2 Control Design Strategy and Converter Performance |
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336 | (2) |
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338 | (19) |
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340 | (1) |
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340 | (17) |
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357 | (108) |
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8.1 Models of Current Mode Control and Chapter Outline |
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357 | (2) |
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8.1.1 Modeling Peak Current Mode Control |
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358 | (1) |
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358 | (1) |
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8.2 Current Mode Control Basics |
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359 | (13) |
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8.2.1 Evolution to Peak Current Mode Control |
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359 | (1) |
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8.2.1.1 Compensation Ramp |
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359 | (4) |
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8.2.1.2 Peak Current Mode Control |
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363 | (4) |
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8.2.2 Benefits and Issues of Peak Current Mode Control |
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367 | (1) |
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8.2.2.1 Benefits of Peak Current Mode Control |
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367 | (1) |
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8.2.2.2 Issues of Peak Current Mode Control |
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367 | (1) |
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8.2.3 Average Current Mode Control and Charge Control |
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368 | (1) |
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8.2.3.1 Average Current Mode Control |
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368 | (2) |
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370 | (2) |
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8.3 Classical Model for Current Mode Control |
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372 | (4) |
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8.3.1 Classical Small-Signal Model for Peak Current Mode Control |
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372 | (3) |
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8.3.2 Classical Small-Signal Block Diagram of Closed-Loop Controlled PWM Converters |
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375 | (1) |
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8.4 Sampling Effects and New s-Domain Model of Current Mode Control |
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376 | (7) |
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8.4.1 Origin and Consequences of Sampling Effects |
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377 | (1) |
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8.4.1.1 Origin of Sampling Effects |
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377 | (1) |
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8.4.1.2 Consequences of Sampling Effects |
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378 | (1) |
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8.4.2 Modeling Methodology for Sampling Effects |
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379 | (1) |
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380 | (1) |
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8.4.4 New s-Domain Model for Current Mode Control |
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381 | (1) |
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8.4.5 Two New s-Domain Models for Current Mode Control |
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381 | (2) |
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8.5 Expressions for New s-Domain Model for Current Mode Control |
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383 | (14) |
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8.5.1 Modified Small-Signal Model |
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383 | (1) |
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384 | (1) |
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8.5.3 He(s): s-Domain Representation of Sampling Effects |
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385 | (1) |
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8.5.3.1 Step One: Two Different Expressions for Hl(s) = Il(s)/ucon |
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386 | (4) |
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8.5.3.2 Step Two: Identification of Gain Block He(s) |
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390 | (1) |
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8.5.3.3 Step Three: Approximation of Gain Block He(s) |
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391 | (2) |
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393 | (1) |
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8.5.4.1 Feedforward Gain k'f |
|
|
393 | (3) |
|
8.5.4.2 Feedforward Gain k'r |
|
|
396 | (1) |
|
8.5.4.3 Conversion of Feedforward Gains |
|
|
396 | (1) |
|
8.6 Control Design for Current Mode Control |
|
|
397 | (24) |
|
8.6.1 Composite Power Stage Model |
|
|
397 | (2) |
|
8.6.2 Control-to-Output Transfer Function with Current Loop Closed |
|
|
399 | (1) |
|
8.6.2.1 Derivation of Gvci(s) |
|
|
399 | (3) |
|
8.6.2.2 Predictions of Gvci(s) |
|
|
402 | (2) |
|
8.6.3 Control Design Principles |
|
|
404 | (1) |
|
8.6.3.1 Voltage Feedback Compensation |
|
|
404 | (2) |
|
8.6.3.2 Voltage Feedback Compensation for Buck Converter |
|
|
406 | (1) |
|
8.6.3.3 Voltage Feedback Compensation for Boost and Buck/Boost Converters |
|
|
407 | (1) |
|
8.6.3.4 Circuit for Two-Pole One-Zero Compensation |
|
|
408 | (1) |
|
8.6.3.5 Current Loop Design Strategy |
|
|
409 | (1) |
|
8.6.4 Step by Step Control Design Procedures |
|
|
410 | (1) |
|
8.6.4.1 Current Loop Design |
|
|
410 | (1) |
|
8.6.4.2 Voltage Feedback Compensation Design |
|
|
410 | (11) |
|
8.7 Step Load Response Analysis |
|
|
421 | (16) |
|
8.7.1 Output Impedance Analysis |
|
|
423 | (4) |
|
8.7.2 Step Load Response Analysis |
|
|
427 | (5) |
|
8.7.2.1 Step Load Response and Compensation Design |
|
|
432 | (4) |
|
8.7.2.2 Generalization of Step Load Response |
|
|
436 | (1) |
|
8.8 Off-Line Flyback Converter with Optocoupler-Isolated Current Mode Control |
|
|
437 | (15) |
|
8.8.1 Off-Line Power Supplies |
|
|
438 | (1) |
|
8.8.2 Current Mode Control for Flyback Converter with Optocoupler-Isolated Feedback |
|
|
438 | (1) |
|
8.8.2.1 Optocoupler-Isolated Current Mode Feedback Circuit |
|
|
439 | (2) |
|
8.8.2.2 Small-Signal Model |
|
|
441 | (1) |
|
8.8.2.3 Optocoupler-Isolated Feedback Circuit |
|
|
442 | (3) |
|
8.8.2.4 Control Design Procedures |
|
|
445 | (7) |
|
|
452 | (13) |
|
|
453 | (1) |
|
|
454 | (11) |
|
Part IV Dc Power Distribution Systems |
|
|
465 | (200) |
|
9 Uncoupled Converter and Extra Element Theorem |
|
|
467 | (42) |
|
|
467 | (3) |
|
9.1.1 Structure of Dc Power Distribution Systems |
|
|
468 | (1) |
|
9.1.2 Individual Converters in Dc Power Distribution Systems |
|
|
469 | (1) |
|
9.1.3 Uncoupled Converter |
|
|
469 | (1) |
|
9.2 Dynamics and Control of Uncoupled Converters |
|
|
470 | (11) |
|
9.2.1 Uncoupled Buck Converter |
|
|
470 | (1) |
|
9.2.1.1 Power Stage Dynamics |
|
|
470 | (2) |
|
9.2.1.2 Control-to-Output Transfer Function with Current Loop Closed |
|
|
472 | (1) |
|
|
473 | (3) |
|
9.2.2 Uncoupled Boost Converter |
|
|
476 | (1) |
|
9.2.2.1 Power Stage Dynamics |
|
|
476 | (2) |
|
9.2.2.2 Control-to-Output Transfer Function with Current Loop Closed |
|
|
478 | (1) |
|
9.2.2.3 Compensation Design |
|
|
478 | (1) |
|
9.2.3 Uncoupled Buck/Boost Converter |
|
|
479 | (2) |
|
9.3 Middlebrook's Extra Element Theorem and Coupled Converters |
|
|
481 | (17) |
|
9.3.1 Middlebrook's Extra Element Theorem |
|
|
482 | (1) |
|
9.3.1.1 Extra Element Theorem |
|
|
482 | (2) |
|
|
484 | (1) |
|
9.3.1.3 EET Application Example |
|
|
485 | (1) |
|
9.3.1.4 Alternative Form of EET |
|
|
486 | (1) |
|
9.3.1.5 Extension of Extra Element Theorem |
|
|
487 | (1) |
|
9.3.2 Performance of Load Coupled Converter |
|
|
488 | (4) |
|
9.3.3 Performance of Source-Coupled Converter |
|
|
492 | (5) |
|
9.3.4 Performance of Source/Load-Coupled Converter |
|
|
497 | (1) |
|
9.4 Middlebrook's Feedback Theorem |
|
|
498 | (4) |
|
9.4.1 EET for Feedback-Controlled Systems |
|
|
498 | (1) |
|
9.4.2 Middlebrook's Feedback Theorem |
|
|
499 | (3) |
|
|
502 | (7) |
|
|
503 | (1) |
|
|
503 | (6) |
|
10 Load-Coupled Converters and Loading Effects |
|
|
509 | (42) |
|
10.1 Load Impedance -- Input Impedance of Load Subsystem |
|
|
509 | (7) |
|
10.1.1 Load Impedance Analysis Using Simplified Circuit Model |
|
|
510 | (2) |
|
10.1.2 EET-Based Load Impedance Analysis |
|
|
512 | (3) |
|
10.1.2.1 Negative Resistance Representation of ZiC(s) |
|
|
515 | (1) |
|
10.2 Stability Analysis of Load-Coupled Converters |
|
|
516 | (12) |
|
10.2.1 Absolute Stability |
|
|
518 | (6) |
|
10.2.2 Relative Stability |
|
|
524 | (4) |
|
10.3 Loop Gain Analysis of Load-Coupled Converters |
|
|
528 | (6) |
|
10.3.1 Graphical Analysis and Construction of Loop Gain |
|
|
528 | (2) |
|
10.3.1.1 Loop Gain for Case B |
|
|
530 | (3) |
|
|
533 | (1) |
|
10.4 Other Performance Metrics |
|
|
534 | (6) |
|
|
534 | (2) |
|
10.4.2 Audio-Susceptibility |
|
|
536 | (1) |
|
|
537 | (3) |
|
10.4.4 Transient Response |
|
|
540 | (1) |
|
|
540 | (11) |
|
10.5.1 Load Impedance Analysis |
|
|
540 | (1) |
|
10.5.2 Stability Analysis |
|
|
540 | (1) |
|
10.5.3 Loop Gain Analysis |
|
|
541 | (1) |
|
10.5.4 Other Performance Analysis |
|
|
541 | (1) |
|
10.5.5 Extension to General Load Subsystems |
|
|
542 | (1) |
|
|
542 | (1) |
|
|
542 | (9) |
|
11 Source-Coupled Converters and Input Filter Interaction |
|
|
551 | (40) |
|
11.1 Input Filter-Coupled Converter and Input Filter Interaction |
|
|
551 | (7) |
|
11.1.1 Input Filter-Coupled Converter |
|
|
551 | (1) |
|
11.1.2 Transfer Functions of Input Filter-Coupled Converter |
|
|
552 | (2) |
|
11.1.3 Condition for Stability |
|
|
554 | (2) |
|
11.1.4 Conditions for Minimal Input Filter Interaction |
|
|
556 | (2) |
|
11.1.5 Performance Analysis Under Input Filter Interaction |
|
|
558 | (1) |
|
11.2 Input Filter Interaction Case One-Boost Converter with Voltage Mode Control |
|
|
558 | (12) |
|
11.2.1 Input Impedance Analysis |
|
|
559 | (3) |
|
11.2.1.1 Negative Input Resistance of Regulated Converters |
|
|
562 | (1) |
|
11.2.2 Stability Analysis |
|
|
563 | (2) |
|
11.2.3 Converter Performance Under Input Filter Interaction |
|
|
565 | (5) |
|
11.3 Input Filter Interaction Case Two-Boost Converter with Current Mode Control |
|
|
570 | (5) |
|
11.3.1 Input Impedance Analysis |
|
|
571 | (1) |
|
11.3.2 Converter Performance Metrics |
|
|
571 | (3) |
|
11.3.3 Converter Performance Under Input Filter Interaction |
|
|
574 | (1) |
|
11.3.4 Conditions for Minimal Input Filter Interaction |
|
|
575 | (1) |
|
11.4 Input Filter Interaction Case Three - Buck Converter with Current Mode Control |
|
|
575 | (6) |
|
11.4.1 Input Impedance Analysis |
|
|
576 | (1) |
|
11.4.2 Converter Performance Under Input Filter Interaction |
|
|
577 | (4) |
|
|
581 | (10) |
|
11.5.1 Condition for Stability |
|
|
581 | (1) |
|
11.5.2 Conditions for Minimal Performance Change |
|
|
581 | (2) |
|
11.5.3 Converter Performance Under Input Filter Interaction |
|
|
583 | (1) |
|
11.5.3.1 Case A: Voltage-Mode Controlled Three Basic Converters |
|
|
583 | (1) |
|
11.5.3.2 Case B: Current-Mode Controlled Boost and Buck/Boost Converters |
|
|
583 | (1) |
|
11.5.3.3 Case C: Current-Mode Controlled Buck Converters |
|
|
583 | (1) |
|
11.5.4 Extension to Source-Coupled Converters |
|
|
584 | (1) |
|
|
584 | (1) |
|
|
584 | (7) |
|
12 Design of Dc Power Distribution Systems |
|
|
591 | (74) |
|
12.1 Introduction to Final Chapter: Power System Design Approach |
|
|
591 | (4) |
|
12.1.1 Standalone Functional Unit |
|
|
593 | (1) |
|
12.1.2 Two-Step Approach to System Design |
|
|
594 | (1) |
|
12.1.3 Two-Stage Dc Power Distribution System |
|
|
595 | (1) |
|
12.2 Line Filter and Source/Load Impedances of Converters |
|
|
595 | (16) |
|
12.2.1 Load Impedance of Upstream Converter |
|
|
595 | (3) |
|
12.2.2 Source Impedance of Downstream Converter |
|
|
598 | (6) |
|
12.2.3 Impedance Overlap and Impedance Gap |
|
|
604 | (1) |
|
12.2.3.1 Impedance Gap for Stability and Performance of Downstream Converter |
|
|
605 | (1) |
|
12.2.3.2 Impedance Overlap for Performance Programming of Upstream Converter |
|
|
605 | (1) |
|
12.2.3.3 Line Filter and Impedance Overlap/Impedance Gap |
|
|
606 | (2) |
|
12.2.4 Line Filter Design |
|
|
608 | (3) |
|
12.3 Impedance Overlap and Converter Performance |
|
|
611 | (12) |
|
12.3.1 Downstream Converter Performance with Impedance Gap |
|
|
612 | (1) |
|
12.3.2 Upstream Converter Loop Gain with Impedance Overlap |
|
|
613 | (2) |
|
12.3.3 Upstream Converter Input Impedance with Impedance Overlap |
|
|
615 | (1) |
|
12.3.3.1 Input Impedance of Upstream Converter with Current Mode Control |
|
|
616 | (5) |
|
12.3.3.2 Input Impedance of Upstream Converter with Voltage Mode Control |
|
|
621 | (1) |
|
|
621 | (2) |
|
12.4 Impedance Overlap and Dc Link Dynamics |
|
|
623 | (8) |
|
12.4.1 Dc Link Impedance Zlink |
|
|
623 | (1) |
|
|
624 | (2) |
|
12.4.2 Transient Response of Dc Link Voltage Vlink |
|
|
626 | (1) |
|
12.4.2.1 Qualitative Analysis of Vlink |
|
|
626 | (2) |
|
12.4.2.2 Simplified Analysis of Vlimk |
|
|
628 | (3) |
|
12.5 Design of Multi-Stage Dc Power Distribution Systems |
|
|
631 | (6) |
|
12.5.1 Design Approach to Multi-Stage Dc Power Distribution Systems |
|
|
631 | (2) |
|
12.5.2 Line Filter Design |
|
|
633 | (1) |
|
|
633 | (1) |
|
12.5.2.2 Line Filter Design Procedures |
|
|
634 | (1) |
|
12.5.3 Illustrative Example |
|
|
635 | (2) |
|
12.6 Consideration of Parallel Filter-Converter Modules |
|
|
637 | (12) |
|
12.6.1 Design Outline for Parallel-Module Systems |
|
|
637 | (2) |
|
12.6.2 Upstream Converter Dynamics in Frequency-Domain |
|
|
639 | (1) |
|
|
640 | (1) |
|
12.6.4 Line Filter Design |
|
|
641 | (1) |
|
12.6.5 Illustrative Example |
|
|
642 | (1) |
|
12.6.5.1 Dominant Filter-Converter Module |
|
|
642 | (1) |
|
12.6.5.2 Line Filter Design Curve: The ω1 -- PM1 Curve |
|
|
643 | (1) |
|
12.6.5.3 Creation of Filter Design Curve |
|
|
644 | (2) |
|
12.6.5.4 Accuracy of Design Curve |
|
|
646 | (1) |
|
12.6.5.5 Performance Evaluation and Experimental Validation |
|
|
647 | (2) |
|
12.7 EMI Standards and Line Filter Design |
|
|
649 | (4) |
|
12.7.1 Circuit Properties of Line Filters |
|
|
650 | (1) |
|
12.7.1.1 Current Filtering and Filter Structure |
|
|
650 | (1) |
|
12.7.1.2 Reciprocity and Current Attenuation Function |
|
|
650 | (1) |
|
12.7.2 EMI Standards, Current Attenuation, and Line Filter Design |
|
|
651 | (2) |
|
12.8 Summary of Final Chapter |
|
|
653 | (12) |
|
|
654 | (1) |
|
|
655 | (10) |
Appendix A Answers to End-of-Chapter Problems |
|
665 | (18) |
Index |
|
683 | |