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.