About the Author |
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xxi | |
Preface |
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xxiii | |
Nomenclature |
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xxv | |
1 Introduction |
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1 | (21) |
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1.1 Classification of Power Supplies |
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1 | (2) |
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1.2 Basic Functions of Voltage Regulators |
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3 | (1) |
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1.3 Power Relationships in DC-DC Converters |
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4 | (1) |
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1.4 DC Transfer Functions of DC-DC Converters |
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5 | (1) |
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1.5 Static Characteristics of DC Voltage Regulators |
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6 | (3) |
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1.6 Dynamic Characteristics of DC Voltage Regulators |
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9 | (3) |
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1.7 Linear Voltage Regulators |
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12 | (4) |
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1.7.1 Series Voltage Regulator |
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13 | (1) |
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1.7.2 Shunt Voltage Regulator |
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14 | (2) |
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1.8 Topologies of PWM DC-DC Converters |
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16 | (2) |
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1.9 Relationships Among Current, Voltage, Energy, and Power |
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18 | (1) |
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19 | (1) |
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19 | (1) |
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20 | (1) |
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21 | (1) |
2 Buck PWM DC-DC Converter |
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22 | (68) |
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22 | (1) |
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2.2 DC Analysis of PWM Buck Converter for CCM |
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22 | (30) |
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2.2.1 Circuit Description |
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22 | (3) |
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25 | (1) |
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2.2.3 Time Interval: 0 < t < or = to DT |
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25 | (1) |
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2.2.4 Time Interval: DT < t < or = to T |
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26 | (1) |
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2.2.5 Device Stresses for CCM |
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27 | (1) |
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2.2.6 DC Voltage Transfer Function for CCM |
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27 | (2) |
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2.2.7 Boundary Between CCM and DCM |
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29 | (2) |
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31 | (2) |
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2.2.9 Ripple Voltage in Buck Converter for CCM |
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33 | (6) |
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2.2.10 Switching Losses with Linear MOSFET Output Capacitance |
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39 | (1) |
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2.2.11 Switching Losses with Nonlinear MOSFET Output Capacitance |
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40 | (3) |
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2.2.12 Power Losses and Efficiency of Buck Converter for CCM |
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43 | (5) |
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2.2.13 DC Voltage Transfer Function of Lossy Converter for CCM |
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48 | (1) |
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2.2.14 MOSFET Gate-Drive Power |
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48 | (1) |
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49 | (1) |
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2.2.16 Design of Buck Converter for CCM |
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50 | (2) |
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2.3 DC Analysis of PWM Buck Converter for DCM |
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52 | (16) |
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2.3.1 Time Interval: 0 < t < or = to DT |
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56 | (2) |
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2.3.2 Time Interval: DT < t < or = to (D + D1)T |
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58 | (1) |
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2.3.3 Time Interval: (D + D1)T < t < or = to T |
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58 | (1) |
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2.3.4 Device Stresses for DCM |
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59 | (1) |
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2.3.5 DC Voltage Transfer Function for DCM |
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59 | (3) |
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2.3.6 Maximum Inductance for DCM |
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62 | (1) |
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2.3.7 Power Losses and Efficiency of Buck Converter for DCM |
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63 | (2) |
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2.3.8 Design of Buck Converter for DCM |
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65 | (3) |
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2.4 Buck Converter with Input Filter |
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68 | (1) |
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2.5 Buck Converter with Synchronous Rectifier |
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68 | (8) |
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2.6 Buck Converter with Positive Common Rail |
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76 | (1) |
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2.7 Quadratic Buck Converter |
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76 | (3) |
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2.8 Tapped-Inductor Buck Converters |
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79 | (4) |
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2.8.1 Tapped-Inductor Common-Diode Buck Converter |
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79 | (2) |
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2.8.2 Tapped-Inductor Common-Transistor Buck Converter |
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81 | (1) |
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2.8.3 Watkins-Johnson Converter |
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82 | (1) |
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2.9 Multiphase Buck Converter |
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83 | (2) |
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2.10 Switched-Inductor Buck Converter |
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85 | (1) |
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85 | (1) |
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85 | (2) |
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87 | (1) |
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88 | (1) |
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88 | (2) |
3 Boost PWM DC-DC Converter |
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90 | (55) |
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90 | (1) |
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3.2 DC Analysis of PWM Boost Converter for CCM |
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90 | (17) |
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3.2.1 Circuit Description |
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90 | (1) |
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91 | (2) |
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3.2.3 Time Interval: 0 < t < or = to DT |
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93 | (1) |
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3.2.4 Time Interval: DT < t < or = to T |
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94 | (1) |
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3.2.5 DC Voltage Transfer Function for CCM |
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94 | (1) |
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3.2.6 Boundary Between CCM and DCM |
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95 | (3) |
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3.2.7 Ripple Voltage in Boost Converter for CCM |
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98 | (2) |
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3.2.8 Power Losses and Efficiency of Boost Converter for CCM |
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100 | (2) |
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3.2.9 DC Voltage Transfer Function of Lossy Boost Converter for CCM |
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102 | (1) |
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3.2.10 Design of Boost Converter for CCM |
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103 | (4) |
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3.3 DC Analysis of PWM Boost Converter for DCM |
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107 | (20) |
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3.3.1 Time Interval: 0 < t < or = to DT |
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110 | (1) |
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3.3.2 Time Interval: DT < t < or = to (D + D1)T |
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111 | (1) |
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3.3.3 Time Interval: (D + D1)T < t < or = to T |
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112 | (1) |
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3.3.4 Device Stresses for DCM |
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112 | (1) |
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3.3.5 DC Voltage Transfer Function for DCM |
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112 | (5) |
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3.3.6 Maximum Inductance for DCM |
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117 | (1) |
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3.3.7 Power Losses and Efficiency of Boost Converter for DCM |
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117 | (3) |
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3.3.8 Design of Boost Converter for DCM |
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120 | (7) |
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3.4 Bidirectional Buck and Boost Converters |
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127 | (2) |
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3.5 Synchronous Boost Converter |
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129 | (1) |
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3.6 Tapped-Inductor Boost Converters |
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129 | (4) |
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3.6.1 Tapped-Inductor Common-Diode Boost Converter |
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131 | (1) |
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3.6.2 Tapped-Inductor Common-Load Boost Converter |
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132 | (1) |
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133 | (1) |
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3.8 Power Factor Correction |
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134 | (7) |
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134 | (4) |
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3.8.2 Boost Power Factor Corrector |
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138 | (3) |
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3.8.3 Electronic Ballasts for Fluorescent Lamps |
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141 | (1) |
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141 | (1) |
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142 | (1) |
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143 | (1) |
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143 | (2) |
4 Buck-Boost PWM DC-DC Converter |
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145 | (50) |
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145 | (1) |
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4.2 DC Analysis of PWM Buck-Boost Converter for CCM |
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145 | (17) |
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4.2.1 Circuit Description |
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145 | (1) |
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146 | (1) |
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4.2.3 Time Interval: 0 < t < or = to DT |
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146 | (2) |
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4.2.4 Time Interval: DT < t < or = to T |
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148 | (1) |
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4.2.5 DC Voltage Transfer Function for CCM |
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149 | (1) |
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4.2.6 Device Stresses for CCM |
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150 | (1) |
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4.2.7 Boundary Between CCM and DCM |
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151 | (1) |
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4.2.8 Ripple Voltage in Buck-Boost Converter for CCM |
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152 | (3) |
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4.2.9 Power Losses and Efficiency of the Buck-Boost Converter for CCM |
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155 | (3) |
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4.2.10 DC Voltage Transfer Function of Lossy Buck-Boost Converter for CCM |
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158 | (1) |
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4.2.11 Design of Buck-Boost Converter for CCM |
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159 | (3) |
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4.3 DC Analysis of PWM Buck-Boost Converter for DCM |
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162 | (18) |
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4.3.1 Time Interval: 0 < t < or = to DT |
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165 | (1) |
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4.3.2 Time Interval: DT < t < or = to (D + D1)T |
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166 | (1) |
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4.3.3 Time Interval: (D + D1)T < t < or = to T |
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167 | (1) |
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4.3.4 Device Stresses of the Buck-Boost Converter in DCM |
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167 | (1) |
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4.3.5 DC Voltage Transfer Function of the Buck-Boost Converter for DCM |
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167 | (3) |
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4.3.6 Maximum Inductance for DCM |
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170 | (2) |
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4.3.7 Power Losses and Efficiency of the Buck-Boost Converter in DCM |
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172 | (2) |
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4.3.8 Design of Buck-Boost Converter for DCM |
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174 | (6) |
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4.4 Bidirectional Buck-Boost Converter |
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180 | (1) |
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4.5 Synthesis of Buck-Boost Converter |
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181 | (2) |
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4.6 Synthesis of Boost-Buck (Cuk) Converter |
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183 | (1) |
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4.7 Noninverting Buck-Boost Converters |
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184 | (2) |
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4.7.1 Cascaded Noninverting Buck-Boost Converters |
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184 | (1) |
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4.7.2 Four-Transistor Noninverting Buck-Boost Converters |
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184 | (2) |
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4.8 Tapped-Inductor Buck-Boost Converters |
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186 | (6) |
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4.8.1 Tapped-Inductor Common-Diode Buck-Boost Converter |
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186 | (1) |
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4.8.2 Tapped-Inductor Common-Transistor Buck-Boost Converter |
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187 | (1) |
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4.8.3 Tapped-Inductor Common-Load Buck-Boost Converter |
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188 | (3) |
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4.8.4 Tapped-Inductor Common-Source Buck-Boost Converter |
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191 | (1) |
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192 | (1) |
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192 | (1) |
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193 | (1) |
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193 | (2) |
5 Flyback PWM DC-DC Converter |
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195 | (51) |
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195 | (1) |
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196 | (1) |
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5.3 DC Analysis of PWM Flyback Converter for CCM |
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197 | (17) |
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5.3.1 Derivation of PWM Flyback Converter |
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197 | (1) |
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5.3.2 Circuit Description |
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197 | (2) |
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199 | (1) |
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5.3.4 Time Interval: 0 < t < or = to DT |
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200 | (1) |
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5.3.5 Time Interval: DT < t < or = to T |
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201 | (2) |
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5.3.6 DC Voltage Transfer Function for CCM |
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203 | (1) |
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5.3.7 Boundary Between CCM and DCM |
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204 | (1) |
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5.3.8 Ripple Voltage in Flyback Converter for CCM |
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205 | (2) |
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5.3.9 Power Losses and Efficiency of Flyback Converter for CCM |
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207 | (3) |
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5.3.10 DC Voltage Transfer Function of Lossy Converter for CCM |
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210 | (1) |
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5.3.11 Design of Flyback Converter for CCM |
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211 | (3) |
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5.4 DC Analysis of PWM Flyback Converter for DCM |
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214 | (18) |
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5.4.1 Time Interval: 0 < t < or = to DT |
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217 | (2) |
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5.4.2 Time Interval: DT < t < or = to (D + D1)T |
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219 | (1) |
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5.4.3 Time Interval: (D + D1)T < t < or = to T |
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220 | (1) |
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5.4.4 DC Voltage Transfer Function for DCM |
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221 | (1) |
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5.4.5 Maximum Magnetizing Inductance for DCM |
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222 | (3) |
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5.4.6 Ripple Voltage in Flyback Converter for DCM |
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225 | (1) |
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5.4.7 Power Losses and Efficiency of Flyback Converter for DCM |
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226 | (2) |
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5.4.8 Design of Flyback Converter for DCM |
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228 | (4) |
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5.5 Multiple-Output Flyback Converter |
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232 | (5) |
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5.6 Bidirectional Flyback Converter |
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237 | (1) |
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5.7 Ringing in Flyback Converter |
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237 | (3) |
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5.8 Flyback Converter with Passive Dissipative Snubber |
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240 | (1) |
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5.9 Flyback Converter with Zener Diode Voltage Clamp |
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240 | (1) |
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5.10 Flyback Converter with Active Clamping |
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241 | (1) |
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5.11 Two-Transistor Flyback Converter |
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241 | (2) |
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243 | (1) |
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244 | (1) |
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244 | (1) |
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245 | (1) |
6 Forward PWM DC-DC Converter |
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246 | (50) |
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246 | (1) |
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6.2 DC Analysis of PWM Forward Converter for CCM |
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246 | (23) |
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6.2.1 Derivation of Forward PWM Converter |
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246 | (2) |
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6.2.2 Time Interval: 0 < t < or = to DT |
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248 | (3) |
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6.2.3 Time Interval: DT < t < or = to DT + tm |
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251 | (2) |
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6.2.4 Time Interval: DT + tm < t < or = to T |
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253 | (1) |
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253 | (1) |
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254 | (1) |
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6.2.7 DC Voltage Transfer Function for CCM |
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255 | (1) |
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6.2.8 Boundary Between CCM and DCM |
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255 | (1) |
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6.2.9 Ripple Voltage in Forward Converter for CCM |
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256 | (2) |
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6.2.10 Power Losses and Efficiency of Forward Converter for CCM |
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258 | (3) |
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6.2.11 DC Voltage Transfer Function of Lossy Converter for CCM |
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261 | (1) |
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6.2.12 Design of Forward Converter for CCM |
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262 | (7) |
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6.3 DC Analysis of PWM Forward Converter for DCM |
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269 | (19) |
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6.3.1 Time Interval: 0 < t < or = to DT |
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269 | (3) |
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6.3.2 Time Interval: DT < t < or = to DT + tm |
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272 | (1) |
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6.3.3 Time Interval: DT + tm < t < or = to (D + D1)T |
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273 | (1) |
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6.3.4 Time Interval: (D + D1)T < t < or = to T |
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273 | (1) |
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6.3.5 DC Voltage Transfer Function for DCM |
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274 | (3) |
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6.3.6 Maximum Inductance for DCM |
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277 | (1) |
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6.3.7 Power Losses and Efficiency of Forward Converter for DCM |
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278 | (2) |
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6.3.8 Design of Forward Converter for DCM |
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280 | (8) |
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6.4 Multiple-Output Forward Converter |
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288 | (1) |
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6.5 Forward Converter with Synchronous Rectifier |
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288 | (1) |
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6.6 Forward Converters with Active Clamping |
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288 | (2) |
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6.7 Two-Switch Forward Converter |
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290 | (1) |
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6.8 Forward-Flyback Converter |
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291 | (1) |
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292 | (1) |
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293 | (1) |
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293 | (1) |
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294 | (2) |
7 Half-Bridge PWM DC-DC Converter |
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296 | (34) |
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296 | (1) |
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7.2 DC Analysis of PWM Half-Bridge Converter for CCM |
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296 | (19) |
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7.2.1 Circuit Description |
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296 | (3) |
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299 | (1) |
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7.2.3 Time Interval: 0 < t < or = to DT |
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299 | (2) |
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7.2.4 Time Interval: DT < t < or = to T/2 |
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301 | (2) |
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7.2.5 Time Interval: T/2 < t < or = to T/2 + DT |
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303 | (1) |
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7.2.6 Time Interval: T/2 + DT < t < or = to T |
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304 | (1) |
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304 | (1) |
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7.2.8 DC Voltage Transfer Function of Lossless Half-Bridge Converter for CCM |
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304 | (1) |
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7.2.9 Boundary Between CCM and DCM |
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305 | (1) |
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7.2.10 Ripple Voltage in Half-Bridge Converter for CCM |
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306 | (2) |
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7.2.11 Power Losses and Efficiency of Half-Bridge Converter for CCM |
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308 | (3) |
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7.2.12 DC Voltage Transfer Function of Lossy Converter for CCM |
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311 | (1) |
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7.2.13 Design of Half-Bridge Converter for CCM |
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312 | (3) |
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7.3 DC Analysis of PWM Half-Bridge Converter for DCM |
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315 | (11) |
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7.3.1 Time Interval: 0 < t < or = to DT |
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315 | (5) |
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7.3.2 Time Interval: DT < t < or = to (D + D1)T |
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320 | (2) |
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7.3.3 Time Interval: (D + D1)T < t <or = to T/2 |
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322 | (1) |
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7.3.4 DC Voltage Transfer Function for DCM |
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322 | (4) |
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7.3.5 Maximum Inductance for DCM |
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326 | (1) |
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326 | (1) |
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327 | (1) |
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327 | (1) |
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328 | (2) |
8 Full-Bridge PWM DC-DC Converter |
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330 | (35) |
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330 | (1) |
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8.2 DC Analysis of PWM Full-Bridge Converter for CCM |
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330 | (21) |
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8.2.1 Circuit Description |
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330 | (2) |
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332 | (1) |
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8.2.3 Time Interval: 0 < t < or = to DT |
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332 | (2) |
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8.2.4 Time Interval: DT < t < or = to T/2 |
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334 | (2) |
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8.2.5 Time Interval: T/2 < t < or = to T/2 + DT |
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336 | (1) |
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8.2.6 Time Interval: T/2 + DT < t < or = to T |
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336 | (1) |
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337 | (1) |
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8.2.8 DC Voltage Transfer Function of Lossless Full-Wave Converter for CCM |
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337 | (1) |
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8.2.9 Boundary Between CCM and DCM |
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338 | (1) |
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8.2.10 Ripple Voltage in Full-Bridge Converter for CCM |
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339 | (1) |
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8.2.11 Power Losses and Efficiency of Full-Bridge Converter for CCM |
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340 | (4) |
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8.2.12 DC Voltage Transfer Function of Lossy Converter for CCM |
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344 | (1) |
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8.2.13 Design of Full-Bridge Converter for CCM |
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345 | (6) |
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8.3 DC Analysis of PWM Full-Bridge Converter for DCM |
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351 | (10) |
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8.3.1 Time Interval: 0 < t < or = to DT |
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351 | (2) |
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8.3.2 Time Interval: DT < t < or = to (D + D1)T |
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353 | (2) |
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8.3.3 Time Interval: (D + D1)T < t < or = to or = to T/2 |
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355 | (1) |
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8.3.4 DC Voltage Transfer Function for DCM |
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356 | (3) |
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8.3.5 Maximum Inductance for DCM |
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359 | (2) |
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8.4 Phase-Controlled Full-Bridge Converter |
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361 | (1) |
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362 | (1) |
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362 | (1) |
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362 | (1) |
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363 | (2) |
9 Small-Signal Models of PWM Converters for CCM and DCM |
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365 | (42) |
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365 | (1) |
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366 | (1) |
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9.3 Averaged Model of Ideal Switching Network for CCM |
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366 | (3) |
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9.4 Averaged Values of Switched Resistances |
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369 | (6) |
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375 | (2) |
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9.6 Large-Signal Averaged Model for CCM |
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377 | (4) |
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9.7 DC and Small-Signal Circuit Linear Models of Switching Network for CCM |
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381 | (4) |
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9.7.1 Large-Signal Circuit Model of Switching Network for CCM |
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381 | (3) |
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9.7.2 Linearization of Switching Network Model for CCM |
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384 | (1) |
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9.8 Block Diagram of Small-signal Model of PWM DC-DC Converters |
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385 | (1) |
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9.9 Family of PWM Converter Models for CCM |
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386 | (3) |
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9.10 PWM Small-Signal Switch Model for CCM |
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389 | (2) |
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9.11 Modeling of Ideal Switching Network for DCM |
|
|
391 | (7) |
|
9.11.1 Relationships Among DC Components for DCM |
|
|
391 | (4) |
|
9.11.2 Small-Signal Model of Ideal Switching Network for DCM |
|
|
395 | (3) |
|
9.12 Averaged Parasitic Resistances for DCM |
|
|
398 | (2) |
|
|
400 | (2) |
|
|
402 | (3) |
|
|
405 | (1) |
|
|
405 | (2) |
10 Small-Signal Characteristics of Buck Converter for CCM |
|
407 | (32) |
|
|
407 | (1) |
|
10.2 Small-Signal Model of the PWM Buck Converter |
|
|
407 | (1) |
|
10.3 Open-Loop Transfer Functions |
|
|
408 | (18) |
|
10.3.1 Open-Loop Control-to-Output Transfer Function |
|
|
409 | (7) |
|
10.3.2 Delay in Control-to-Output Transfer Function |
|
|
416 | (2) |
|
10.3.3 Open-Loop Input-to-Output Transfer Function |
|
|
418 | (2) |
|
10.3.4 Open-Loop Input Impedance |
|
|
420 | (3) |
|
10.3.5 Open-Loop Output Impedance |
|
|
423 | (3) |
|
10.4 Open-Loop Step Responses |
|
|
426 | (8) |
|
10.4.1 Open-Loop Response of Output Voltage to Step Change in Input Voltage |
|
|
426 | (5) |
|
10.4.2 Open-Loop Response of Output Voltage to Step Change in Duty Cycle |
|
|
431 | (2) |
|
10.4.3 Open-Loop Response of Output Voltage to Step Change in Load Current |
|
|
433 | (1) |
|
10.5 Open-Loop DC Transfer Functions |
|
|
434 | (2) |
|
|
436 | (1) |
|
|
436 | (1) |
|
|
437 | (1) |
|
|
438 | (1) |
11 Small-Signal Characteristics of Boost Converter for CCM |
|
439 | (31) |
|
|
439 | (1) |
|
|
439 | (1) |
|
11.3 Open-Loop Control-to-Output Transfer Function |
|
|
440 | (9) |
|
11.4 Delay in Open-Loop Control-to-Output Transfer Function |
|
|
449 | (2) |
|
11.5 Open-Loop Audio Susceptibility |
|
|
451 | (4) |
|
11.6 Open-Loop Input Impedance |
|
|
455 | (2) |
|
11.7 Open-Loop Output Impedance |
|
|
457 | (4) |
|
11.8 Open-Loop Step Responses |
|
|
461 | (6) |
|
11.8.1 Open-Loop Response of Output Voltage to Step Change in Input Voltage |
|
|
461 | (3) |
|
11.8.2 Open-Loop Response of Output Voltage to Step Change in Duty Cycle |
|
|
464 | (1) |
|
11.8.3 Open-Loop Response of Output Voltage to Step Change in Load Current |
|
|
465 | (2) |
|
|
467 | (1) |
|
|
467 | (1) |
|
|
468 | (1) |
|
|
468 | (2) |
12 Voltage-Mode Control of PWM Buck Converter |
|
470 | (51) |
|
|
470 | (1) |
|
12.2 Properties of Negative Feedback |
|
|
471 | (3) |
|
|
474 | (1) |
|
12.4 Single-Loop Control of PWM Buck Converter |
|
|
475 | (3) |
|
12.5 Closed-Loop Small-Signal Model of Buck Converter |
|
|
478 | (1) |
|
12.6 Pulse-Width Modulator |
|
|
478 | (5) |
|
|
483 | (3) |
|
12.8 Transfer Function of Buck Converter with Modulator and Feedback Network |
|
|
486 | (3) |
|
|
489 | (22) |
|
|
489 | (1) |
|
12.9.2 Proportional Controller |
|
|
490 | (2) |
|
12.9.3 Integral Controller |
|
|
492 | (1) |
|
12.9.4 Proportional-Integral Controller |
|
|
493 | (4) |
|
12.9.5 Integral-Single-Lead Controller |
|
|
497 | (7) |
|
|
504 | (1) |
|
12.9.7 Closed-Loop Control-to-Output Voltage Transfer Function |
|
|
504 | (2) |
|
12.9.8 Closed-Loop Input-to-Output Transfer Function |
|
|
506 | (2) |
|
12.9.9 Closed-Loop Input Impedance |
|
|
508 | (1) |
|
12.9.10 Closed-Loop Output Impedance |
|
|
509 | (2) |
|
12.10 Closed-Loop Step Responses |
|
|
511 | (7) |
|
12.10.1 Response to Step Change in Input Voltage |
|
|
511 | (2) |
|
12.10.2 Response to Step Change in Reference Voltage |
|
|
513 | (2) |
|
12.10.3 Closed-Loop Response to Step Change in Load Current |
|
|
515 | (1) |
|
12.10.4 Closed-Loop DC Transfer Functions |
|
|
515 | (3) |
|
|
518 | (1) |
|
|
519 | (1) |
|
|
519 | (1) |
|
|
520 | (1) |
13 Voltage-Mode Control of Boost Converter |
|
521 | (33) |
|
|
521 | (1) |
|
13.2 Circuit of Boost Converter with Voltage-Mode Control |
|
|
521 | (2) |
|
13.3 Transfer Function of Modulator, Boost Converter Power Stage, and Feedback Network |
|
|
523 | (4) |
|
13.4 Integral-Double-Lead Controller |
|
|
527 | (5) |
|
13.5 Design of Integral-Double-Lead Controller |
|
|
532 | (4) |
|
|
536 | (1) |
|
13.7 Closed-Loop Control-to-Output Voltage Transfer Function |
|
|
537 | (2) |
|
13.8 Closed-Loop Audio Susceptibility |
|
|
539 | (1) |
|
13.9 Closed-Loop Input Impedance |
|
|
539 | (3) |
|
13.10 Closed-Loop Output Impedance |
|
|
542 | (2) |
|
13.11 Closed-Loop Step Responses |
|
|
544 | (5) |
|
13.11.1 Closed-Loop Response to Step Change in Input Voltage |
|
|
544 | (3) |
|
13.11.2 Closed-Loop Response to Step Change in Reference Voltage |
|
|
547 | (1) |
|
13.11.3 Closed-Loop Response to Step Change in Load Current |
|
|
548 | (1) |
|
13.12 Closed-Loop DC Transfer Functions |
|
|
549 | (3) |
|
|
552 | (1) |
|
|
552 | (1) |
|
|
552 | (1) |
|
|
553 | (1) |
14 Current-Mode Control |
|
554 | (91) |
|
|
554 | (1) |
|
14.2 Principle of Operation of PWM Converters with Peak CMC |
|
|
555 | (4) |
|
14.3 Relationship Between Duty Cycle and Inductor-Current Slopes |
|
|
559 | (1) |
|
14.4 Instability of Closed-Current Loop |
|
|
560 | (4) |
|
|
564 | (6) |
|
14.5.1 Analysis of Slope Compensation in Time Domain |
|
|
564 | (5) |
|
14.5.2 Boundary of Slope Compensation for Buck and Buck-Boost Converters |
|
|
569 | (1) |
|
14.5.3 Boundary Slope Compensation for Boost Converter |
|
|
570 | (1) |
|
14.6 Sample-and-Hold Effect on Current Loop |
|
|
570 | (10) |
|
14.6.1 Natural Response of Inductor Current to Small Perturbation in Closed-Current Loop |
|
|
572 | (3) |
|
14.6.2 Forced Response of Inductor Current to Step Change in Control Voltage in Closed-Current Loop |
|
|
575 | (2) |
|
14.6.3 Relationship Between s-Domain and z-Domain |
|
|
577 | (1) |
|
14.6.4 Transfer Function of Closed-Current Loop in z-Domain |
|
|
578 | (2) |
|
14.7 Closed-Loop Control Voltage-to-Inductor Current Transfer Function in s-Domain |
|
|
580 | (8) |
|
14.7.1 Approximation of Hid by Rational Transfer Function |
|
|
582 | (6) |
|
14.7.2 Step Responses of Closed-Inner Loop |
|
|
588 | (1) |
|
14.8 Loop Gain of Current Loop |
|
|
588 | (7) |
|
14.8.1 Loop Gain of Inner Loop in z-Domain |
|
|
588 | (2) |
|
14.8.2 Loop Gain of Inner Loop in s-Domain |
|
|
590 | (5) |
|
14.9 Gain-Crossover Frequency of Inner Loop |
|
|
595 | (1) |
|
14.10 Phase Margin of Inner Loop |
|
|
596 | (2) |
|
14.11 Maximum Duty Cycle for Converters Without Slope Compensation |
|
|
598 | (2) |
|
14.12 Maximum Duty Cycle for Converters with Slope Compensation |
|
|
600 | (5) |
|
14.13 Minimum Slope Compensation for Buck and Buck-Boost Converter |
|
|
605 | (2) |
|
14.14 Minimum Slope Compensation for Boost Converter |
|
|
607 | (3) |
|
14.15 Error Voltage-to-Duty Cycle Transfer Function |
|
|
610 | (4) |
|
14.16 Closed-Loop Control Voltage-to-Duty Cycle Transfer Function of Current Loop |
|
|
614 | (4) |
|
14.17 Alternative Representation of Current Loop |
|
|
618 | (1) |
|
14.18 Current Loop with Disturbances |
|
|
618 | (6) |
|
14.18.1 Modified Approximation of Current Loop |
|
|
619 | (5) |
|
14.19 Voltage Loop of PWM Converters with Current-Mode Control |
|
|
624 | (7) |
|
14.19.1 Control-to-Output Transfer Function for Buck Converter |
|
|
624 | (3) |
|
14.19.2 Block Diagram of Power Stages of PWM Converters |
|
|
627 | (1) |
|
14.19.3 Closed-Voltage Loop Transfer Function of PWM Converters with Current-Mode Control |
|
|
628 | (1) |
|
14.19.4 Closed-Loop Audio Susceptibility of PWM Converters with Current-Mode Control |
|
|
628 | (2) |
|
14.19.5 Closed-Loop Output Impedance of PWM Converters with Current-Mode Control |
|
|
630 | (1) |
|
14.20 Feedforward Gains in PWM Converters with Current-Mode Control without Slope Compensation |
|
|
631 | (3) |
|
14.21 Feedforward Gains in PWM Converters with Current-Mode Control and Slope Compensation |
|
|
634 | (2) |
|
14.22 Control-to-Output Voltage Transfer Function of Inner Loop with Feedforward Gains |
|
|
636 | (1) |
|
14.23 Audio-Susceptibility of Inner Loop with Feedforward Gains |
|
|
637 | (1) |
|
14.24 Closed-Loop Transfer Functions with Feedforward Gains |
|
|
638 | (1) |
|
14.25 Slope Compensation by Adding a Ramp to Inductor Current Waveform |
|
|
638 | (1) |
|
14.26 Relationships for Constant-Frequency Current-Mode On-Time Control |
|
|
639 | (1) |
|
|
639 | (1) |
|
|
640 | (4) |
|
|
644 | (1) |
|
|
644 | (1) |
14.28 Appendix: Sample-and-Hold Modeling |
|
645 | (8) |
|
14.28.1 Sampler of the Control Voltage |
|
|
645 | (3) |
|
14.28.2 Zero-Order Hold of Inductor Current |
|
|
648 | (2) |
|
14.28.3 Approximations of e |
|
|
650 | (3) |
15 Current-Mode Control of Boost Converter |
|
653 | (60) |
|
|
653 | (1) |
|
15.2 Open-Loop Small-Signal Transfer Functions |
|
|
653 | (14) |
|
15.2.1 Open-Loop Duty Cycle-to-Inductor Current Transfer Function |
|
|
653 | (6) |
|
15.2.2 High-Frequency Open-Loop Duty Cycle-to-Inductor Current Transfer Function |
|
|
659 | (1) |
|
15.2.3 Open-Loop Input Voltage-to-Inductor Current Transfer Function |
|
|
660 | (5) |
|
15.2.4 Open-Loop Inductor-to-Output Current Transfer Function |
|
|
665 | (2) |
|
15.3 Open-Loop Step Responses of Inductor Current |
|
|
667 | (8) |
|
15.3.1 Open-Loop Response of Inductor Current to Step Change in Input Voltage |
|
|
667 | (3) |
|
15.3.2 Open-Loop Response of the Inductor Current to Step Change in the Duty Cycle |
|
|
670 | (2) |
|
15.3.3 Open-Loop Response of Inductor Current to Step Change in Load Current |
|
|
672 | (3) |
|
15.4 Closed-Current-Loop Transfer Functions |
|
|
675 | (20) |
|
|
675 | (1) |
|
15.4.2 Loop Gain of Current Loop |
|
|
675 | (1) |
|
15.4.3 Closed-Loop Gain of Current Loop |
|
|
675 | (2) |
|
15.4.4 Control-to-Output Transfer Function |
|
|
677 | (7) |
|
15.4.5 Input Voltage-to-Duty Cycle Transfer Function |
|
|
684 | (4) |
|
15.4.6 Load Current-to-Duty Cycle Transfer Function |
|
|
688 | (2) |
|
15.4.7 Output Impedance of Closed-Current Loop |
|
|
690 | (5) |
|
15.5 Closed-Voltage-Loop Transfer Functions |
|
|
695 | (11) |
|
15.5.1 Control-to-Output Transfer Function |
|
|
695 | (1) |
|
15.5.2 Control Voltage-to-Feedback Voltage Transfer Function |
|
|
695 | (2) |
|
15.5.3 Loop Gain of Voltage Loop |
|
|
697 | (4) |
|
15.5.4 Closed-Loop Gain of Voltage Loop |
|
|
701 | (2) |
|
15.5.5 Closed-Loop Audio Susceptibility with Integral Controller |
|
|
703 | (1) |
|
15.5.6 Closed-Loop Output Impedance with Integral Controller |
|
|
704 | (2) |
|
15.6 Closed-Loop Step Responses |
|
|
706 | (4) |
|
15.6.1 Closed-Loop Response of Output Voltage to Step Change in Input Voltage |
|
|
706 | (2) |
|
15.6.2 Closed-Loop Response of Output Voltage to Step Change in Load Current |
|
|
708 | (1) |
|
15.6.3 Closed-Loop Response of Output Voltage to Step Change in Reference Voltage |
|
|
708 | (2) |
|
15.7 Closed-Loop DC Transfer Functions |
|
|
710 | (1) |
|
|
711 | (1) |
|
|
711 | (1) |
|
|
712 | (1) |
|
|
712 | (1) |
16 Open-Loop Small-Signal Characteristics of PWM Boost Converter for DCM |
|
713 | (34) |
|
|
713 | (1) |
|
16.2 Small-Signal Model of Boost Converter for DCM |
|
|
713 | |
|
16.3 Open-Loop Control-to-Output Transfer Function 71f |
|
|
|
16.4 Open-Loop Input-to-Output Voltage Transfer Function 71C |
|
|
|
16.5 Open-Loop Input Impedance 72i |
|
|
|
16.6 Open-Loop Output Impedance |
|
|
72 | (656) |
|
16.7 Step Responses of Output Voltage of Boost Converter for DCM |
|
|
728 | (3) |
|
16.7.1 Response of Output Voltage to Step Change in Input Voltage |
|
|
728 | (2) |
|
16.7.2 Response of Output Voltage to Step Change in Duty Cycle |
|
|
730 | (1) |
|
16.7.3 Response of Output Voltage to Step Change in Load Current |
|
|
730 | (1) |
|
16.8 Open-Loop Duty Cycle-to-Inductor Current Transfer Function |
|
|
731 | (4) |
|
16.9 Open-Loop Input Voltage-to-Inductor Current Transfer Function |
|
|
735 | (1) |
|
16.10 Open-Loop Output Current-to-Inductor Current Transfer Function |
|
|
735 | (3) |
|
16.11 Step Responses of Inductor Current of Boost Converter for DCM |
|
|
738 | (4) |
|
16.11.1 Step Response of Inductor Current to Step Change in Input Voltage |
|
|
738 | (2) |
|
16.11.2 Step Response of Inductor Current to Step Change in Duty Cycle |
|
|
740 | (1) |
|
16.11.3 Step Response of Inductor Current to Step Change in Load Current |
|
|
741 | (1) |
|
16.12 DC Characteristics of Boost Converter for DCM |
|
|
742 | (3) |
|
16.12.1 DC-to-DC Voltage Transfer Function of Lossless Boost Converter for DCM |
|
|
742 | (1) |
|
16.12.2 DC-to-DC Voltage Transfer Function of Lossy Boost Converter for DCM |
|
|
743 | (2) |
|
16.12.3 Efficiency of Boost Converter for DCM |
|
|
745 | (1) |
|
|
745 | (1) |
|
|
745 | (1) |
|
|
746 | (1) |
|
|
746 | (1) |
17 Silicon and Silicon-Carbide Power Diodes |
|
747 | (72) |
|
|
747 | (1) |
|
17.2 Electronic Power Switches |
|
|
747 | (1) |
|
|
748 | (1) |
|
17.4 Electron and Hole Effective Mass |
|
|
749 | (1) |
|
|
750 | (1) |
|
17.6 Intrinsic Semiconductors |
|
|
751 | (5) |
|
17.7 Extrinsic Semiconductors |
|
|
756 | (6) |
|
17.7.1 n-Type Semiconductor |
|
|
756 | (3) |
|
17.7.2 p-Type Semiconductor |
|
|
759 | (2) |
|
17.7.3 Maximum Operating Temperature |
|
|
761 | (1) |
|
17.8 Wide Band Gap Semiconductors |
|
|
762 | (2) |
|
17.9 Physical Structure of Junction Diodes |
|
|
764 | (4) |
|
17.9.1 Formation of Depletion Layer |
|
|
765 | (2) |
|
|
767 | (1) |
|
17.10 Static I-V Diode Characteristic |
|
|
768 | (4) |
|
17.11 Breakdown Voltage of Junction Diodes |
|
|
772 | (12) |
|
17.11.1 Depletion-Layer Width |
|
|
773 | (2) |
|
17.11.2 Electric Field Intensity Distribution |
|
|
775 | (4) |
|
17.11.3 Avalanche Breakdown Voltage |
|
|
779 | (2) |
|
17.11.4 Punch-Through Breakdown Voltage |
|
|
781 | (1) |
|
17.11.5 Edge Terminations |
|
|
782 | (2) |
|
17.12 Capacitances of Junction Diodes |
|
|
784 | (5) |
|
17.12.1 Junction Capacitance |
|
|
784 | (3) |
|
17.12.2 Diffusion Capacitance |
|
|
787 | (2) |
|
17.13 Reverse Recovery of pn Junction Diodes |
|
|
789 | (9) |
|
17.13.1 Qualitative Description |
|
|
789 | (1) |
|
17.13.2 Reverse Recovery in Resistive Circuits |
|
|
790 | (3) |
|
17.13.3 Charge-Continuity Equation |
|
|
793 | (3) |
|
17.13.4 Reverse Recovery in Inductive Circuits |
|
|
796 | (2) |
|
|
798 | (8) |
|
17.14.1 Static I-V Characteristic of Schottky Diodes |
|
|
801 | (1) |
|
17.14.2 Breakdown Voltages of Schottky Diodes |
|
|
802 | (1) |
|
17.14.3 Junction Capacitance of Schottky Diodes |
|
|
802 | (1) |
|
17.14.4 Switching Characteristics of Schottky Diodes |
|
|
802 | (4) |
|
|
806 | (3) |
|
17.16 Light-Emitting Diodes |
|
|
809 | (1) |
|
17.17 SPICE Model of Diodes |
|
|
810 | (1) |
|
|
811 | (4) |
|
|
815 | (1) |
|
|
816 | (1) |
|
|
817 | (2) |
18 Silicon and Silicon-Carbide Power MOSFETs |
|
819 | (72) |
|
|
819 | (1) |
|
|
819 | (1) |
|
18.3 Physical Structure of Power MOSFETs |
|
|
819 | (5) |
|
18.4 Principle of Operation of Power MOSFETs |
|
|
824 | (2) |
|
|
824 | (1) |
|
18.4.2 Formation of MOSFET Channel |
|
|
824 | (1) |
|
|
824 | (1) |
|
|
825 | (1) |
|
18.4.5 Antiparallel Diode |
|
|
825 | (1) |
|
18.5 Derivation of Power MOSFET Characteristics |
|
|
826 | (5) |
|
|
826 | (3) |
|
|
829 | (1) |
|
18.5.3 Channel-Length Modulation |
|
|
830 | (1) |
|
18.6 Power MOSFET Characteristics |
|
|
831 | (2) |
|
18.7 Mobility of Charge Carriers |
|
|
833 | (13) |
|
18.7.1 Effect of Doping Concentration on Mobility |
|
|
834 | (2) |
|
18.7.2 Effect of Temperature on Mobility |
|
|
836 | (4) |
|
18.7.3 Effect of Electric Field on Mobility |
|
|
840 | (6) |
|
18.8 Short-Channel Effects |
|
|
846 | (2) |
|
|
846 | (1) |
|
|
847 | (1) |
|
18.9 Aspect Ratio of Power MOSFETs |
|
|
848 | (2) |
|
18.10 Breakdown Voltage of Power MOSFETs |
|
|
850 | (2) |
|
18.11 Gate Oxide Breakdown Voltage of Power MOSFETs |
|
|
852 | (1) |
|
18.12 Specific On-Resistance |
|
|
852 | (3) |
|
18.13 Figures-of-Merit of Semiconductors |
|
|
855 | (2) |
|
18.14 On-Resistance of Power MOSFETs |
|
|
857 | (5) |
|
18.14.1 Channel Resistance |
|
|
857 | (1) |
|
18.14.2 Accumulation Region Resistance |
|
|
857 | (1) |
|
18.14.3 Neck Region Resistance |
|
|
858 | (1) |
|
18.14.4 Drift Region Resistance |
|
|
859 | (3) |
|
18.15 Capacitances of Power MOSFETs |
|
|
862 | (13) |
|
18.15.1 Gate-to-Source Capacitance |
|
|
862 | (2) |
|
18.15.2 Drain-to-Source Capacitance |
|
|
864 | (1) |
|
18.15.3 Gate-to-Drain Capacitance |
|
|
864 | (11) |
|
18.16 Switching Waveforms |
|
|
875 | (2) |
|
18.17 SPICE Model of Power MOSFETs |
|
|
877 | (2) |
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|
879 | (1) |
|
|
880 | (6) |
|
|
886 | (2) |
|
|
888 | (1) |
|
|
888 | (1) |
|
|
889 | (2) |
19 Electromagnetic Compatibility |
|
891 | (16) |
|
|
891 | (1) |
|
|
891 | (1) |
|
|
892 | (1) |
|
|
892 | (1) |
|
|
893 | (1) |
|
19.6 Classification of EMI |
|
|
893 | (2) |
|
|
895 | (1) |
|
|
896 | (1) |
|
|
896 | (1) |
|
19.10 Near Field and Far Field |
|
|
897 | (1) |
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19.11 Techniques of EMI Reduction |
|
|
897 | (1) |
|
|
898 | (1) |
|
|
898 | (2) |
|
19.14 Feed-Through Capacitors |
|
|
900 | (1) |
|
|
900 | (2) |
|
|
902 | (1) |
|
|
903 | (1) |
|
|
903 | (1) |
|
|
903 | (1) |
|
|
904 | (3) |
A Introduction to SPICE |
|
907 | (3) |
B Introduction to MATLAB® |
|
910 | (5) |
C Physical Constants |
|
915 | (2) |
Answers to Problems |
|
917 | (8) |
Index |
|
925 | |