{"product_id":"digital-control-of-highfrequency-switchedmode-power-converters-9781118935101","title":"Digital Control of HighFrequency SwitchedMode","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book is focused on the fundamental aspects of analysis, modeling and design of digital control loops around high-frequency switched-mode power converters in a systematic and rigorous manner\u003cbr\u003e\u003cbr\u003e \u003cul\u003e \u003cli\u003eComprehensive treatment of digital control theory for power converters\u003c\/li\u003e \u003cli\u003eVerilog and VHDL sample codes are provided\u003c\/li\u003e \u003cli\u003eEnables readers to successfully analyze, model, design, and implement voltage, current, or multi-loop digital feedback loops around switched-mode power converters\u003c\/li\u003e \u003cli\u003ePractical examples are used throughout the book to illustrate applications of the techniques developed\u003c\/li\u003e \u003cli\u003eMatlab examples are also provided\u003c\/li\u003e \u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eIntroduction 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 \u003c\/b\u003e\u003cb\u003eContinuous-Time Averaged Modeling of DC–DC Converters 13\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Pulse Width Modulated Converters 14\u003c\/p\u003e \u003cp\u003e1.2 Converters in Steady State 16\u003c\/p\u003e \u003cp\u003e1.2.1 Boost Converter Example 17\u003c\/p\u003e \u003cp\u003e1.2.2 Estimation of the Switching Ripple 19\u003c\/p\u003e \u003cp\u003e1.2.3 Voltage Conversion Ratios of Basic Converters 20\u003c\/p\u003e \u003cp\u003e1.3 Converter Dynamics and Control 21\u003c\/p\u003e \u003cp\u003e1.3.1 Converter Averaging and Linearization 22\u003c\/p\u003e \u003cp\u003e1.3.2 Modeling of the Pulse Width Modulator 24\u003c\/p\u003e \u003cp\u003e1.3.3 The System Loop Gain 25\u003c\/p\u003e \u003cp\u003e1.3.4 Averaged Small-Signal Models of Basic Converters 26\u003c\/p\u003e \u003cp\u003e1.4 State-Space Averaging 28\u003c\/p\u003e \u003cp\u003e1.4.1 Converter Steady-State Operating Point 28\u003c\/p\u003e \u003cp\u003e1.4.2 Averaged Small-Signal State-Space Model 29\u003c\/p\u003e \u003cp\u003e1.4.3 Boost Converter Example 30\u003c\/p\u003e \u003cp\u003e1.5 Design Examples 32\u003c\/p\u003e \u003cp\u003e1.5.1 Voltage-Mode Control of a Synchronous Buck Converter 32\u003c\/p\u003e \u003cp\u003e1.5.2 Average Current-Mode Control of a Boost Converter 42\u003c\/p\u003e \u003cp\u003e1.6 Duty Ratio \u003ci\u003ed\u003c\/i\u003e[\u003ci\u003ek\u003c\/i\u003e] Versus \u003ci\u003ed\u003c\/i\u003e(\u003ci\u003et\u003c\/i\u003e) 48\u003c\/p\u003e \u003cp\u003e1.7 Summary of Key Points 50\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 \u003c\/b\u003e\u003cb\u003eThe Digital Control Loop 51\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Case Study: Digital Voltage-Mode Control 52\u003c\/p\u003e \u003cp\u003e2.2 A\/D Conversion 53\u003c\/p\u003e \u003cp\u003e2.2.1 Sampling Rate 53\u003c\/p\u003e \u003cp\u003e2.2.2 Amplitude Quantization 56\u003c\/p\u003e \u003cp\u003e2.3 The Digital Compensator 58\u003c\/p\u003e \u003cp\u003e2.4 Digital Pulse Width Modulation 63\u003c\/p\u003e \u003cp\u003e2.5 Loop Delays 65\u003c\/p\u003e \u003cp\u003e2.5.1 Control Delays 65\u003c\/p\u003e \u003cp\u003e2.5.2 Modulation Delay 66\u003c\/p\u003e \u003cp\u003e2.5.3 Total Loop Delay 70\u003c\/p\u003e \u003cp\u003e2.6 Use of Averaged Models in Digital Control Design 71\u003c\/p\u003e \u003cp\u003e2.6.1 Limitations of Averaged Modeling 71\u003c\/p\u003e \u003cp\u003e2.6.2 Averaged Modeling of a Digitally Controlled Converter 74\u003c\/p\u003e \u003cp\u003e2.7 Summary of Key Points 78\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 \u003c\/b\u003e\u003cb\u003eDiscrete-Time Modeling 79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Discrete-Time Small-Signal Modeling 80\u003c\/p\u003e \u003cp\u003e3.1.1 A Preliminary Example: A Switched Inductor 82\u003c\/p\u003e \u003cp\u003e3.1.2 The General Case 85\u003c\/p\u003e \u003cp\u003e3.1.3 Discrete-Time Models for Basic Types of PWM Modulation 87\u003c\/p\u003e \u003cp\u003e3.2 Discrete-Time Modeling Examples 88\u003c\/p\u003e \u003cp\u003e3.2.1 Synchronous Buck Converter 90\u003c\/p\u003e \u003cp\u003e3.2.2 Boost Converter 97\u003c\/p\u003e \u003cp\u003e3.3 Discrete-Time Modeling of Time-Invariant Topologies 102\u003c\/p\u003e \u003cp\u003e3.3.1 Equivalence to Discrete-Time Modeling 106\u003c\/p\u003e \u003cp\u003e3.3.2 Relationship with the Modified \u003ci\u003eZ\u003c\/i\u003e-Transform 108\u003c\/p\u003e \u003cp\u003e3.3.3 Calculation of \u003ci\u003eT\u003csub\u003eu\u003c\/sub\u003e\u003c\/i\u003e(\u003ci\u003ez\u003c\/i\u003e) 108\u003c\/p\u003e \u003cp\u003e3.3.4 Buck Converter Example Revisited 112\u003c\/p\u003e \u003cp\u003e3.4 Matlab\u003csup\u003e®\u003c\/sup\u003e Discrete-Time Modeling of Basic Converters 112\u003c\/p\u003e \u003cp\u003e3.5 Summary of Key Points 117\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 \u003c\/b\u003e\u003cb\u003eDigital Control 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 System-Level Compensator Design 119\u003c\/p\u003e \u003cp\u003e4.1.1 Direct-Digital Design Using the Bilinear Transform Method 120\u003c\/p\u003e \u003cp\u003e4.1.2 Digital PID Compensators in the \u003ci\u003ez\u003c\/i\u003e- and the \u003ci\u003ep\u003c\/i\u003e-Domains 123\u003c\/p\u003e \u003cp\u003e4.2 Design Examples 126\u003c\/p\u003e \u003cp\u003e4.2.1 Digital Voltage-Mode Control of a Synchronous Buck Converter 126\u003c\/p\u003e \u003cp\u003e4.2.2 Digital Current-Mode Control of a Boost Converter 134\u003c\/p\u003e \u003cp\u003e4.2.3 Multiloop Control of a Synchronous Buck Converter 136\u003c\/p\u003e \u003cp\u003e4.2.4 Boost Power Factor Corrector 141\u003c\/p\u003e \u003cp\u003e4.3 Other Converter Transfer Functions 154\u003c\/p\u003e \u003cp\u003e4.4 Actuator Saturation and Integral Anti-Windup Provisions 160\u003c\/p\u003e \u003cp\u003e4.5 Summary of Key Points 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 \u003c\/b\u003e\u003cb\u003eAmplitude Quantization 167\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 System Quantizations 167\u003c\/p\u003e \u003cp\u003e5.1.1 A\/D Converter 167\u003c\/p\u003e \u003cp\u003e5.1.2 DPWM Quantization 169\u003c\/p\u003e \u003cp\u003e5.2 Steady-State Solution 172\u003c\/p\u003e \u003cp\u003e5.3 No-Limit-Cycling Conditions 175\u003c\/p\u003e \u003cp\u003e5.3.1 DPWM versus A\/D Resolution 175\u003c\/p\u003e \u003cp\u003e5.3.2 Integral Gain 178\u003c\/p\u003e \u003cp\u003e5.3.3 Dynamic Quantization Effects 181\u003c\/p\u003e \u003cp\u003e5.4 DPWM and A\/D Implementation Techniques 182\u003c\/p\u003e \u003cp\u003e5.4.1 DPWM Hardware Implementation Techniques 182\u003c\/p\u003e \u003cp\u003e5.4.2 Effective DPWM Resolution Improvements via ΣΔ Modulation 186\u003c\/p\u003e \u003cp\u003e5.4.3 A\/D Converters 187\u003c\/p\u003e \u003cp\u003e5.5 Summary of Key Points 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 \u003c\/b\u003e\u003cb\u003eCompensator Implementation 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 PID Compensator Realizations 194\u003c\/p\u003e \u003cp\u003e6.2 Coefficient Scaling and Quantization 197\u003c\/p\u003e \u003cp\u003e6.2.1 Coefficients Scaling 198\u003c\/p\u003e \u003cp\u003e6.2.2 Coefficients Quantization 200\u003c\/p\u003e \u003cp\u003e6.3 Voltage-Mode Control Example: Coefficients Quantization 203\u003c\/p\u003e \u003cp\u003e6.3.1 Parallel Structure 204\u003c\/p\u003e \u003cp\u003e6.3.2 Direct Structure 206\u003c\/p\u003e \u003cp\u003e6.3.3 Cascade Structure 208\u003c\/p\u003e \u003cp\u003e6.4 Fixed-Point Controller Implementation 213\u003c\/p\u003e \u003cp\u003e6.4.1 Effective Dynamic Range and Hardware Dynamic Range 214\u003c\/p\u003e \u003cp\u003e6.4.2 Upper Bound of a Signal and the \u003ci\u003eL\u003c\/i\u003e\u003csup\u003e1\u003c\/sup\u003e-Norm 216\u003c\/p\u003e \u003cp\u003e6.5 Voltage-Mode Converter Example: Fixed-Point Implementation 218\u003c\/p\u003e \u003cp\u003e6.5.1 Parallel Realization 220\u003c\/p\u003e \u003cp\u003e6.5.2 Direct Realization 225\u003c\/p\u003e \u003cp\u003e6.5.3 Cascade Realization 229\u003c\/p\u003e \u003cp\u003e6.5.4 Linear versus Quantized System Response 233\u003c\/p\u003e \u003cp\u003e6.6 HDL Implementation of the Controller 234\u003c\/p\u003e \u003cp\u003e6.6.1 VHDL Example 235\u003c\/p\u003e \u003cp\u003e6.6.2 Verilog Example 237\u003c\/p\u003e \u003cp\u003e6.7 Summary of Key Points 239\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 \u003c\/b\u003e\u003cb\u003eDigital Autotuning 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction to Digital Autotuning 242\u003c\/p\u003e \u003cp\u003e7.2 Programmable PID Structures 243\u003c\/p\u003e \u003cp\u003e7.3 Autotuning VIA Injection of a Digital Perturbation 247\u003c\/p\u003e \u003cp\u003e7.3.1 Theory of Operation 249\u003c\/p\u003e \u003cp\u003e7.3.2 Implementation of a PD Autotuner 253\u003c\/p\u003e \u003cp\u003e7.3.3 Simulation Example 255\u003c\/p\u003e \u003cp\u003e7.3.4 Small-Signal Analysis of the PD Autotuning Loop 261\u003c\/p\u003e \u003cp\u003e7.4 Digital Autotuning Based on Relay Feedback 265\u003c\/p\u003e \u003cp\u003e7.4.1 Theory of Operation 266\u003c\/p\u003e \u003cp\u003e7.4.2 Implementation of a Digital Relay Feedback Autotuner 267\u003c\/p\u003e \u003cp\u003e7.4.3 Simulation Example 271\u003c\/p\u003e \u003cp\u003e7.5 Implementation Issues 272\u003c\/p\u003e \u003cp\u003e7.6 Summary of Key Points 275\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A \u003c\/b\u003e\u003cb\u003eDiscrete-Time Linear Systems and The \u003ci\u003eZ\u003c\/i\u003e-Transform 277\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Difference Equations 277\u003c\/p\u003e \u003cp\u003eA.1.1 Forced Response 278\u003c\/p\u003e \u003cp\u003eA.1.2 Free Response 279\u003c\/p\u003e \u003cp\u003eA.1.3 Impulse Response and System Modes 281\u003c\/p\u003e \u003cp\u003eA.1.4 Asymptotic Behavior of the Modes 282\u003c\/p\u003e \u003cp\u003eA.1.5 Further Examples 283\u003c\/p\u003e \u003cp\u003eA.2 \u003ci\u003eZ\u003c\/i\u003e-Transform 284\u003c\/p\u003e \u003cp\u003eA.2.1 Definition 284\u003c\/p\u003e \u003cp\u003eA.2.2 Properties 285\u003c\/p\u003e \u003cp\u003eA.3 The Transfer Function 287\u003c\/p\u003e \u003cp\u003eA.3.1 Stability 287\u003c\/p\u003e \u003cp\u003eA.3.2 Frequency Response 288\u003c\/p\u003e \u003cp\u003eA.4 State-Space Representation 288\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B \u003c\/b\u003e\u003cb\u003eFixed-Point Arithmetic and HDL Coding 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Rounding Operation and Round-Off Error 291\u003c\/p\u003e \u003cp\u003eB.2 Floating-Point versus Fixed-Point Arithmetic Systems 293\u003c\/p\u003e \u003cp\u003eB.3 Binary Two’s Complement (B2C) Fixed-Point Representation 294\u003c\/p\u003e \u003cp\u003eB.4 Signal Notation 296\u003c\/p\u003e \u003cp\u003eB.5 Manipulation of B2C Quantities and HDL Examples 297\u003c\/p\u003e \u003cp\u003eB.5.1 Sign Extension 298\u003c\/p\u003e \u003cp\u003eB.5.2 Alignment 299\u003c\/p\u003e \u003cp\u003eB.5.3 Sign Reversal 301\u003c\/p\u003e \u003cp\u003eB.5.4 LSB and MSB Truncation 302\u003c\/p\u003e \u003cp\u003eB.5.5 Addition and Subtraction 304\u003c\/p\u003e \u003cp\u003eB.5.6 Multiplication 305\u003c\/p\u003e \u003cp\u003eB.5.7 Overflow Detection and Saturated Arithmetic 307\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C \u003c\/b\u003e\u003cb\u003eSmall-Signal Phase Lag of Uniformly Sampled Pulse Width Modulators 313\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eC.1 Trailing-Edge Modulators 313\u003c\/p\u003e \u003cp\u003eC.2 Leading-Edge Modulators 317\u003c\/p\u003e \u003cp\u003eC.3 Symmetrical Modulators 318\u003c\/p\u003e \u003cp\u003eReferences 321\u003c\/p\u003e \u003cp\u003eIndex 335\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406950637911,"sku":"9781118935101","price":95.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118935101.jpg?v=1730497666","url":"https:\/\/bookcurl.com\/products\/digital-control-of-highfrequency-switchedmode-power-converters-9781118935101","provider":"Book Curl","version":"1.0","type":"link"}