
Frequency-Domain Characterization of Power Distribution Networks
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Content
- Frequency-Domain Characterizationof Power Distribution Networks
- Contents vii
- Preface xi
- Acknowledgments xv
- Chapter 1 Introduction 1
- 1.1 Evolution of Power Distribution Networks 1
- 1.2 The Importance of Frequency Domain 2
- 1.3 The Impedance Matrix 4
- 1.4 When Time-Domain Characterization Is Useful 8
- 1.5 If and When Time-Domain Response Is Needed 8
- 1.6 The Characterization Process 9
- 1.7 The Modeling Process 10
- References 11
- Chapter 2 Simulation Methods and Tools 13
- 2.1 Spreadsheet Calculations 13
- 2.2 SPICE AC 15
- 2.3 MATLAB 16
- 2.4 Field Solvers 17
- References 41
- Chapter 3 Characterization and Modeling of Vias 43
- 3.1 Introduction 43
- 3.2 Via Partial Inductance 43
- 3.3 Via Loop Inductance 47
- 3.4 Via Arrays 56
- References 65
- Chapter 4 Characterization and Modeling of Planesand Laminates 67
- 4.1 Introduction 67
- 4.2 Analytical Plane Models 68
- 4.3 Transmission-Line Models 84
- 4.4 Effect of Plane Parameters on Self- and Transfer Impedances 92
- 4.5 Characterization of Plane and Laminate Parameters 98
- References 120
- Chapter 5 Impedance Measurements Basics 123
- 5.1 Selecting the Measurement Concept for PDN Impedance 123
- 5.2 The Importance of Two-Port Connections 126
- 5.3 Self- and Transfer Impedance 129
- 5.4 Transforming Measured S-Parameters 132
- 5.5 Extracting Component Parameters from Measured Data 143
- References 158
- Chapter 6 Connections and Calibrations 159
- 6.1 Port Connections 159
- 6.2 Probes, Connectors, and Cables 175
- 6.3 Calibrations 183
- 6.4 Stability and Accuracy of Measurements 188
- References 195
- Chapter 7 Measurements: Practical Details 197
- 7.1 Making the Proper Connections 197
- 7.2 Making the Proper Measurements 220
- 7.3 System Measurements 225
- References 228
- Chapter 8 Characterization and Modeling of BypassCapacitors 229
- 8.1 Simple C-R-L Models and Spreadsheet Correlations 229
- 8.2 Wideband Characterization 232
- 8.3 Impact of Geometry on Electrical Parameters 234
- 8.4 Effect of Other Variables on Capacitor Parameters 257
- 8.5 Multicomponent C-R-L Models 262
- 8.6 Black-Box Model 267
- 8.7 Bedspring Capacitor Model 274
- 8.8 Causal Slow-Wave Model 283
- References 294
- Chapter 9 Characterization and Modeling ofInductors, DC-DC Converters, andSystems 297
- 9.1 Characterization and Modeling of Inductors 298
- 9.2 Characterization and Modeling of Power Converters 307
- 9.3 Modeling and Characterizing Systems 314
- References 326
- About the Authors 327
- Index 329
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