AN INTEGRATED, LOSSLESS, AND ACCURATE CURRENT-SENSING TECHNIQUE FOR HIGH-PERFORMANCE SWITCHING REGULATORS A Dissertation Presented to The Academic Faculty by H. Pooya Forghani-zadeh In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the School of Electrical and Computer Engineering Georgia Institute of Technology August 2006 Copyright 2006 by H. Pooya Forghani-zadeh AN INTEGRATED, LOSSLESS, AND ACCURATE CURRENT-SENSING TECHNIQUE FOR HIGH-PERFORMANCE SWITCHING REGULATORS Approved by: Dr. G. Rincón-Mora, Advisor Dr. T. Habetler School of Electrical and School of Electrical and Computer Engineering Computer Engineering Georgia Institute of Technology Georgia Institute of Technology Dr. M. Leach Dr. E. Harrell School of Electrical and School of Mathematics Computer Engineering Georgia Institute of Technology Georgia Institute of Technology Dr. D. Divan School of Electrical and Computer Engineering Georgia Institute of Technology Date Approved: June 1, 2006 ACKNOWLEDGEMENTS Completing a Ph.D. thesis requires use of someone’s accumulated knowledge from childhood to graduate school. Therefore, I would like to thank all of my teachers, instructors, and professors through the last twenty years of my life in school. In particular, my deepest appreciation goes to my advisor, Prof. Gabriel Rincón- Mora, for his invaluable advice on professionalism, problem solving, and research. Insightful discussions with my fellow colleagues Min Chen, Huseyin Dinc, Vishal Gupta, Neeraj Keskar, Ajay Kumar, Luke Milner, and Erick Torres at Georgia Institute of Technology Analog and Power IC design laboratory have improved the quality of my work, and I extend my appreciation to them. Technical and financial support of Intersil Corporation and services of MOSIS organization in fabricating the test chips have been a great asset in my program and are appreciated. Additionally, I would like to thank Intersil portable power management design group members and in particular Mr. John Seitters as well as Mr. Todd Harrison from Texas Instruments for their inspiration, comments, and recommendations during design reviews. Last but not least, I would like to thank my parents and sister for their support and encouragement. iii TABLE OF CONTENTS Page ACKNOWLEDGEMENTS............................................................................................iii LIST OF TABLES.........................................................................................................ix LIST OF FIGURES........................................................................................................xi LIST OF SYMBOLS AND ABBREVIATIONS...........................................................xx SUMMARY.................................................................................................................xxi CHAPTER 1: INTRODUCTION....................................................................................1 1.1. Current Sensing in Switching Regulators......................................................2 1.2. Research Objective .......................................................................................4 1.3. Market Demand............................................................................................9 CHAPTER 2: STATE-of-THE-ART CURRENT-SENSING TECHNIQUES................12 2.1. Current-Sensing Applications in Switching Regulators ...............................12 2.1.1. Protection.........................................................................................12 2.1.2. Frequency Compensation.................................................................13 2.1.3. Droop Compensation........................................................................13 2.1.4. Mode Hop........................................................................................14 2.1.5. Inductor Multipliers..........................................................................15 2.1.6. Single-Inductor Multiple-Output Converters.....................................15 2.1.7. Current-Sharing Techniques.............................................................16 2.2. Current-Sensing Techniques for Switching Regulators................................16 2.2.1. Sense Resistors.................................................................................19 2.2.2. MOSFET-RDS.................................................................................21 2.2.3. Sense-FET Technique.......................................................................23 2.2.4. Hall-Effect Sensors...........................................................................24 2.2.5. Transformer Technique ....................................................................25 2.2.6. Observer Approach...........................................................................25 2.2.7. I-Average Technique........................................................................26 2.2.8. Matching Complimentary Filter........................................................26 iv 2.3. Problems of State-of-the-Art Techniques and Motivations for This Research ..........................................................................................................................27 Summary.......................................................................................................................30 CHAPTER 3: SELF-CALIBRATING, LOSSLESS, AND, ACCURATE CURRENT- SENSING CIRCUIT.....................................................................................................31 3.1. Proposed Approach.....................................................................................31 3.2. Discrete Verification...................................................................................38 3.2.1. Current-Sensing Filter......................................................................39 3.2.2. Start-Up Hardware Implementation..................................................40 3.2.3. Experimental Results........................................................................44 3.3. Integrated Circuit Challenges......................................................................46 Summary.......................................................................................................................53 CHAPTER 4: ACCURACY..........................................................................................54 4.1. Inductor Model...........................................................................................54 4.2. Errors..........................................................................................................59 4.2.1. Operating-Point Errors...................................................................61 4.2.2. Random Offsets.............................................................................62 4.2.3. Systematic Offsets.........................................................................62 4.2.4. Tuning-Loop Errors.......................................................................64 4.2.5. Calibration-Loop Errors.................................................................65 4.3. Specification Requirements.........................................................................67 Summary.......................................................................................................................68 CHAPTER 5: CURRENT-MODE CONTROLERS.......................................................72 5.1. Types of Switching Regulators....................................................................72 5.2. Controller Schemes.....................................................................................75 5.3. Current-Mode Controller.............................................................................78 5.3.1. Operation.........................................................................................79 5.3.2. Compensation...................................................................................80 5.3.3. Sub-harmonic Oscillation.................................................................93 5.3.4. Transient Response...........................................................................96 5.4. Controller Design......................................................................................100 v CHAPTER 6: CIRCUIT DESIGN...............................................................................104 6.1. System......................................................................................................104 6.1.1. Hierarchy.......................................................................................105 6.1.2. Floorplanning.................................................................................107 6.1.3. Design Flow...................................................................................108 6.2. Circuit Blocks...........................................................................................109 6.2.1. G -C Filter.....................................................................................109 m 6.2.2. Tuning............................................................................................130 6.2.3. Calibration.....................................................................................137 6.2.4. Tuning/Calibration/G -C Filter Clock Generator............................148 m 6.2.5. Current-Sensing Output Inverter.....................................................149 6.2.6. Test-Current Generator...................................................................150 6.2.7. Wave Generator..............................................................................153 6.2.8. Current-Mode Controller................................................................161 6.2.9. Error Amplifier...............................................................................164 6.2.10. Summing Comparator...................................................................166 6.2.11. Driver and Dead-Time Controller (DTC)......................................167 6.2.12. Digital Core..................................................................................172 6.2.13. Voltage Reference Network and Bias Generator...........................175 6.2.14. Temperature Compensation Circuits.............................................177 6.3. Final Chip.................................................................................................178 6.3.1. Design Cycles.................................................................................178 6.3.2. Final Chip Top Level......................................................................179 6.3.3. Top-Level Simulation Plan.............................................................184 6.3.4. Layout............................................................................................185 Summary.....................................................................................................................188 CHAPTER 7: SYSTEM EXPERIMENTAL EVALUATION......................................189 7.1. Test Bed....................................................................................................189 7.1. Test Instruments........................................................................................191 7.2. System-Level Experimental Results..........................................................191 7.4. Issues and Fixes........................................................................................204 vi Summary.....................................................................................................................208 CHAPTER 8: CONCLUSIONS..................................................................................209 8.1. Contributions............................................................................................209 8.2. Comparison to State-of-the Art..................................................................215 8.2.1. Advantages.....................................................................................215 8.2.2. Drawbacks......................................................................................216 8.3. Recommendations.....................................................................................217 8.4. The Future.................................................................................................218 APPENDIX A: A FAST AND RELIABLE TOP-LEVEL SIMULATION STRATEGY FOR MIXED-SIGNAL ICs AND ITS APPLICATION TO DC-DC CONVERTERS..221 A.1. Switching DC-DC Converters..................................................................222 A.1.1. Operation.......................................................................................222 A.1.1. Macro Models ...............................................................................224 A.2. Top-Level Verification Flow....................................................................224 A.2.1. Design Flow..................................................................................224 A.2.2. Proposed Top-Level Simulation Plan.............................................225 A.2.3. Determining the Optimal Replacement Order from a Set of Screening Simulations..............................................................................................228 A.3. Numerical Case Study Results..................................................................230 APPENDIX B: PCB LAYOUT TECHNIQUES FOR SWITCHING POWER SUPPLY CIRCUITS..................................................................................................................237 B.1. Modeling Connections..............................................................................238 B.2. PCB Layout Guidelines............................................................................243 B.2.1. Functionality..................................................................................243 B.2.2. Accuracy.......................................................................................244 B.2.3. Noise.............................................................................................246 B.2.4. Radiated Electro-Magnetic Interference (EMI)..............................247 B.3. Measurements..........................................................................................249 B.3.1. Test Points.....................................................................................249 B.3.2. Ground Loops................................................................................249 Summary.....................................................................................................................251 vii REFERENCES............................................................................................................253 VITA...........................................................................................................................268 viii LIST OF TABLES Page Table 1.1— Summary of state-of-the-art lossless current-sensing techniques...................4 Table 1.2—Proposed current-sensing module specifications............................................9 Table 1.3—Test switching regulator specifications..........................................................9 Table 2.1—Current sensing and control schemes for switching regulators.....................13 Table 2.2—Comparison of the properties of state-of-the-art current-sensing techniques.29 Table 2.3—Comparison between state-of-the-art current-sensing techniques.................30 Table 3.1—Proposed current-sensing module specifications..........................................52 Table 3.2— Switching regulator specifications..............................................................53 Table 4.1—Effects of temperature, operating current, and operating frequency on current- sensing circuit..............................................................................................62 Table 4.2—Specification of blocks derived from error budget.......................................69 Table 4.3—Accuracy of the proposed self-calibrating technique versus basic filter scheme.........................................................................................................70 Table 5.1—Relationships of key voltages and currents in switching regulators..............75 Table 5.2—Summary of control techniques for switching regulators.............................78 Table 5.3—Specifications for a buck converter used in a Li-Ion battery-supplied handheld micro-processor application........................................................101 Table 5.4 List of design parameters to satisfy specification of Table 5.3......................103 Table 6.1— Hierarchy of the final chip........................................................................106 Table 6.2— Summary of dynamic offset cancellation techniques................................112 Table 6.3— Summary of continuous-time auto-zeroing techniques..............................113 Table 6.4— G -C filter key design parameters............................................................123 m Table 6.5— Specification compliance matrix of g -C filter.........................................130 m Table 6.6— Specification compliance matrix tuning loop............................................137 Table 6.7— Specification compliance matrix for calibration loop................................147 Table 6.8— Current generator specification compliance matrix...................................153 Table 6.9— Comparison of the proposed and conventional schemes...........................158 ix Table 6.10— Wave generator specification compliance matrix....................................160 Table 6.11— Error-amplifier specifications compliance matrix...................................165 Table 6.12— Summing-comparator specification compliance matrix..........................167 Table 6.13— Specification compliance matrix of driver and dead-time controller (DTC). ..................................................................................................................170 Table 6.14— Description of the transient events at start-up.........................................173 Table 6.15— Specification compliance matrix of voltage reference and bias network.176 Table 6.16— Summary of design cycles......................................................................179 Table 6.17— Final-chip pin description.......................................................................183 μ Table 6.18— Layout area of the key blocks of the propose IC in AMI’s 0.5 m process. ..................................................................................................................186 Table 7.1—Self-learning current-sensing circuit specifications based on experimental results........................................................................................................200 Table 7.2—Current-mode controller specifications based on experimental results.......203 Table 7.3—Table of final chip issues and their proposed fixes.....................................208 Table 8.1—Summary of contributions.........................................................................213 Table 8.2—List of published and submitted papers......................................................214 Table 8.3—Comparison of the proposed system with the state of the art current-sensing techniques..................................................................................................217 Table A.1— Case study results of the top-level replacement sequence. .......................232 Table B.1—Summary of circuit-driven PCB design approach.....................................252 x
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