Preface |
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vii | |
Part I Circuits For Dc-To-Dc Power Conversion |
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1 PWM Dc-to-Dc Power Conversion |
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3 | (10) |
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1.1 PWM Dc-to-Dc Power Conversion |
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4 | (3) |
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1.1.1 Dc-to-Dc Power Conversion |
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4 | (2) |
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6 | (1) |
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1.2 Dc-to-Dc Power Conversion System |
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7 | (1) |
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1.3 Features and Issues of PWM Dc-to-Dc Converter |
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8 | (3) |
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11 | (1) |
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12 | (1) |
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13 | (58) |
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2.1 Semiconductor Switches |
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13 | (4) |
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14 | (1) |
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15 | (1) |
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2.1.3 MOSFET-Diode Pair as SPDT Switch |
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16 | (1) |
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2.2 Energy Storage and Transfer Devices |
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17 | (22) |
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18 | (8) |
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26 | (5) |
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31 | (8) |
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2.3 Switching Circuits in Practice |
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39 | (11) |
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2.3.1 Solenoid Drive Circuits |
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39 | (6) |
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2.3.2 Capacitor Charging Circuit |
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45 | (5) |
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50 | (1) |
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51 | (1) |
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52 | (19) |
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71 | (52) |
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3.1 Ideal Step-Down Dc-to-Dc Power Conversion |
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72 | (2) |
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3.2 Buck Converter: Step-Down Dc-to-Dc Converter |
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74 | (4) |
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3.2.1 Evolution to Buck Converter |
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74 | (1) |
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3.2.2 Frequency-Domain Analysis |
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75 | (3) |
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3.3 Buck Converter in Start-Up Transient |
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78 | (2) |
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3.3.1 Piecewise Linear Analysis |
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78 | (1) |
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78 | (2) |
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3.4 Buck Converter in Steady State |
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80 | (9) |
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3.4.1 Circuit Analysis Techniques |
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80 | (2) |
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3.4.2 Steady-State Analysis |
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82 | (2) |
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3.4.3 Estimation of Output Voltage Ripple |
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84 | (5) |
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3.5 Buck Converter in Discontinuous Conduction Mode |
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89 | (10) |
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3.5.1 Origin of Discontinuous Conduction Mode Operation |
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90 | (2) |
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3.5.2 Conditions for DCM Operation |
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92 | (2) |
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3.5.3 Steady-State Operation in DCM |
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94 | (5) |
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3.6 Closed-Loop Control of Buck Converter |
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99 | (10) |
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3.6.1 Closed-Loop Feedback Controller |
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99 | (4) |
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3.6.2 Responses of Closed-Loop Controlled Buck Converter |
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103 | (6) |
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109 | (1) |
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110 | (1) |
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110 | (13) |
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4 Dc-to-Dc Power Converter Circuits |
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123 | (76) |
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124 | (11) |
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4.1.1 Evolution to Boost Converter |
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124 | (2) |
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4.1.2 Steady-State Analysis in CCM |
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126 | (4) |
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4.1.3 Steady-State Analysis in DCM |
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130 | (2) |
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4.1.4 Effects of Parasitic Resistance on Voltage Gain |
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132 | (3) |
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135 | (8) |
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4.2.1 Evolution to Buck/Boost Converter |
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137 | (1) |
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4.2.2 Steady-State Analysis in CCM |
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137 | (4) |
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4.2.3 Steady-State Analysis in DCM |
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141 | (2) |
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4.3 Structure and Voltage Gain of Three Basic Converters |
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143 | (2) |
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4.4 Flyback Converter: Transformer-Isolated Buck/Boost Converter |
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145 | (8) |
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4.4.1 Evolution to Flyback Converter |
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145 | (2) |
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4.4.2 Steady-State Analysis in CCM |
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147 | (3) |
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4.4.3 Steady-State Analysis in DCM |
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150 | (3) |
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4.5 Bridge-Type Buck-Derived Isolated Dc-to-Dc Converters |
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153 | (14) |
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4.5.1 Switch Network and Multi-Winding Transformer |
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154 | (3) |
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4.5.2 Full-Bridge Converter |
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157 | (6) |
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4.5.3 Half-Bridge Converter |
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163 | (1) |
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4.5.4 Push-Pull Converter |
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163 | (4) |
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167 | (10) |
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4.6.1 Basic Operational Principles |
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167 | (5) |
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4.6.2 Tertiary-Winding Reset Forward Converter |
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172 | (5) |
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4.6.3 Two-Switch Forward Converter |
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177 | (1) |
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177 | (3) |
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180 | (1) |
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181 | (18) |
Part II Modeling, Dynamics, And Design Of PWM Dc-To-Dc Converters |
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5 Modeling PWM Dc-to-Dc Converters |
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199 | (46) |
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5.1 Overview of PWM Converter Modeling |
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200 | (2) |
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5.2 Averaging Power Stage Dynamics |
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202 | (19) |
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5.2.1 State-Space Averaging |
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204 | (6) |
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210 | (9) |
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5.2.3 Generalization of Circuit Averaging Technique |
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219 | (1) |
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5.2.4 Circuit Averaging and State-Space Averaging |
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220 | (1) |
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5.3 Linearizing Averaged Power Stage Dynamics |
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221 | (6) |
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5.3.1 Linearization of Nonlinear Function and Small-Signal Model |
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221 | (2) |
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5.3.2 Small-Signal Model for PWM Switch-PWM Switch Model |
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223 | (3) |
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5.3.3 Small-Signal Model of Converter Power Stage |
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226 | (1) |
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5.4 Frequency Response of Converter Power Stage |
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227 | (5) |
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5.4.1 Sinusoidal Response of Power Stage |
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228 | (2) |
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5.4.2 Frequency Response and s-Domain Small-Signal Model of Power Stage |
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230 | (2) |
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5.5 Small-Signal Gain of PWM Block |
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232 | (2) |
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5.6 Small-Signal Model for PWM Dc-to-Dc Converters |
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234 | (4) |
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5.6.1 Voltage Feedback Circuit |
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234 | (2) |
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5.6.2 Small-Signal Model for PWM Converters |
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236 | (2) |
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238 | (1) |
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239 | (1) |
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239 | (6) |
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6 Power Stage Transfer Functions |
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245 | (52) |
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6.1 Bode Plot for Transfer Functions |
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245 | (19) |
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246 | (2) |
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6.1.2 Bode Plots for Multiplication Factors |
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248 | (9) |
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6.1.3 Bode Plot Construction for Transfer Functions |
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257 | (5) |
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6.1.4 Identification of Transfer Function from Bode Plot |
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262 | (2) |
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6.2 Power Stage Transfer Functions of Buck Converter |
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264 | (7) |
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6.2.1 Input-to-Output Transfer Function |
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265 | (3) |
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6.2.2 Duty Ratio-to-Output Transfer Function |
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268 | (2) |
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6.2.3 Load Current-to-Output Transfer Function |
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270 | (1) |
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6.3 Power Stage Transfer Functions of Boost Converter |
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271 | (10) |
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6.3.1 Input-to-Output Transfer Function |
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272 | (1) |
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6.3.2 Duty Ratio-to-Output Transfer Function and RHP Zero |
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273 | (4) |
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6.3.3 Load Current-to-Output Transfer Function |
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277 | (1) |
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6.3.4 Physical Origin of RHP Zero |
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278 | (3) |
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6.4 Power Stage Transfer Functions of Buck/Boost Converter |
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281 | (2) |
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6.5 Empirical Methods for Small-Signal Analysis |
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283 | (3) |
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286 | (1) |
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287 | (2) |
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289 | (8) |
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7 Dynamic Performance of PWM DC-to-DC Converters |
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297 | (34) |
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298 | (3) |
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7.2 Frequency-Domain Performance Criteria |
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301 | (3) |
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301 | (1) |
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7.2.2 Audio-Susceptibility |
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302 | (1) |
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303 | (1) |
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7.3 Time-Domain Performance Criteria |
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304 | (3) |
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305 | (1) |
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7.3.2 Step Input Response |
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306 | (1) |
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7.4 Stability of DC-to-DC Converters |
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307 | (1) |
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7.4.1 Stability of Linear Time-Invariant Systems |
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307 | (1) |
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7.4.2 Small-Signal Stability of DC-to-DC Converters |
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307 | (1) |
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308 | (7) |
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7.6 Relative Stability: Gain Margin and Phase Margin |
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315 | (7) |
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322 | (1) |
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323 | (1) |
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324 | (7) |
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8 Closed-Loop Performance and Feedback Compensation |
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331 | (76) |
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8.1 Asymptotic Analysis Method |
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332 | (7) |
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8.1.1 Concept of Asymptotic Analysis Method |
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332 | (2) |
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8.1.2 Examples of Asymptotic Analysis Method |
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334 | (5) |
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8.2 Frequency-Domain Performance |
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339 | (5) |
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8.2.1 Audio-Susceptibility |
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340 | (3) |
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343 | (1) |
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8.3 Voltage Feedback Compensation and Loop Gain |
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344 | (5) |
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8.3.1 Problems of Single Integrator |
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345 | (2) |
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8.3.2 Voltage Feedback Compensation |
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347 | (2) |
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8.4 Compensation Design and Closed-Loop Performance |
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349 | (34) |
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8.4.1 Voltage Feedback Compensation and Loop Gain |
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349 | (3) |
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8.4.2 Feedback Compensation Design Guidelines |
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352 | (1) |
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8.4.3 Voltage Feedback Compensation and Closed-Loop Performance |
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353 | (14) |
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8.4.4 Phase Margin and Closed-Loop Performance |
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367 | (5) |
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8.4.5 Compensation Zeros and Speed of Transient Responses |
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372 | (2) |
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374 | (5) |
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8.4.7 Non-Minimum Phase System Case: Boost and Buck/Boost Converters |
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379 | (4) |
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383 | (2) |
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385 | (1) |
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385 | (22) |
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9 Practical Considerations in Modeling, Analysis, and Design of PWM Converters |
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407 | (58) |
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9.1 Generalization of PWM Converter Model |
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408 | (23) |
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9.1.1 Converter Modeling with Parasitic Resistances |
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408 | (7) |
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9.1.2 Modeling and Analysis of PWM Converters in DCM Operation |
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415 | (10) |
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9.1.3 Modeling of Isolated PWM Converters |
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425 | (6) |
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9.2 Design and Analysis of DC-to-DC Converters with Practical Source System |
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431 | (18) |
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9.2.1 Audio-Susceptibility Analysis |
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432 | (2) |
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434 | (7) |
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9.2.3 Input Impedance of Regulated Dc-to-Dc Converter |
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441 | (5) |
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9.2.4 Origin of Source-Impedance Induced Instability |
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446 | (1) |
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9.2.5 Control Design with Source Impedance |
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447 | (1) |
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9.2.6 Impacts of Source Impedance on Loop Gain and Output Impedance |
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448 | (1) |
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9.3 Consideration for Non-Resistive Load |
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449 | (3) |
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452 | (1) |
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453 | (1) |
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454 | (11) |
Part III Current Mode Control |
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10 Current Mode Control - Functional Basics and Classical Analysis |
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465 | (94) |
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10.1 Current Mode Control Basics |
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466 | (13) |
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10.1.1 Evolution to Peak Current Mode Control |
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466 | (9) |
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10.1.2 Benefits and Issues of Peak Current Mode Control |
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475 | (1) |
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10.1.3 Average Current Mode Control and Charge Control |
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476 | (3) |
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10.2 Classical Analysis and Control Design Procedures |
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479 | (30) |
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10.2.1 Small-Signal Model for Peak Current Mode Control |
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480 | (6) |
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10.2.2 Loop Gain Analysis |
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486 | (3) |
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10.2.3 Stability Analysis |
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489 | (3) |
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10.2.4 Voltage Feedback Compensation |
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492 | (5) |
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10.2.5 Control Design Procedures |
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497 | (10) |
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10.2.6 Analysis of Converter Dynamics in DCM |
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507 | (2) |
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10.3 Closed-Loop Performance of Peak Current Mode Control |
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509 | (23) |
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10.3.1 Audio-Susceptibility Analysis |
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511 | (5) |
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10.3.2 Output Impedance Analysis |
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516 | (4) |
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10.3.3 Step Load Response Analysis |
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520 | (12) |
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10.4 Current Mode Control for Boost and Buck/Boost Converters |
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532 | (16) |
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10.4.1 Stability Analysis and Control Design |
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532 | (11) |
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10.4.2 Loop Gain Analysis |
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543 | (5) |
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548 | (2) |
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550 | (1) |
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550 | (9) |
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11 Current Mode Control - Sampling Effects and New Control Design Procedures |
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559 | (74) |
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11.1 Sampling Effects of Current Mode Control |
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560 | (8) |
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11.1.1 Origin and Consequence of Sampling Effects |
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561 | (3) |
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11.1.2 Modeling Methodology for Sampling Effects |
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564 | (1) |
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564 | (1) |
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11.1.4 Complete s-Domain Model for Current Mode Control |
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565 | (1) |
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11.1.5 Two Prevalent s-Domain Models for Current Mode Control |
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565 | (3) |
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11.2 Expressions for s-Domain Model for Current Mode Control |
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568 | (16) |
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11.2.1 Modified Small-Signal Model |
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568 | (2) |
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570 | (1) |
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11.2.3 He(s): s-Domain Representation of Sampling Effects |
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571 | (9) |
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580 | (4) |
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11.3 New Control Design Procedures for Current Mode Control |
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584 | (28) |
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11.3.1 New Power Stage Model |
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584 | (2) |
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11.3.2 Control-to-Output Transfer Function with Current Loop Closed |
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586 | (6) |
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11.3.3 Control Design Procedures |
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592 | (14) |
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11.3.4 Correlation between New and Classical Design Procedures |
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606 | (6) |
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11.4 Off-Line Flyback Converter with Optocoupler-Isolated Current Mode Control |
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612 | (16) |
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11.4.1 Off-Line Power Supplies |
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612 | (1) |
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11.4.2 Current Mode Control for Flyback Converter with Optocoupler-Isolated Feedback |
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613 | (15) |
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628 | (1) |
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629 | (1) |
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629 | (4) |
Index |
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633 | |