MODELING OF SPIRAL INDUCTORS AND
TRANSFORMERS
中国人体艺术摄影by
SHOBAK RAMAKRISHNAN KYTHAKYAPUZHA
B.Tech., Calicut University, Kerala, India, 1995
--------------------------------------------------------
A THESIS
submitted in partial fulfillment of the
requirements for the degree篮球孙悦
MASTER OF SCIENCE
Department of Electrical Engineering and Computer Engineering
酸奶可以解酒不College of Engineering
KANSAS STATE UNIVERSITY
Manhattan, Kansas
2001
Approved by:
Major Professor
Dr. William B, Kuhn
TABLE OF CONTENTS
LIST OF FIGURES 5
LIST OF TABLES8 ACKNOWLEDGEMENTS 9
1.INTRODUCTION 10
1.1 Motivation 10
1.2 Thesis Organization 12
2. SPIRAL INDUCTOR PROGRAMS 13
2.1 ASITIC 14
2.2 Agilent ADS 15
2.3 SONET 16
2.4 Lumped Element Simulators 17
3. MODEL OVERVIEW 18
3.1 Model Schematics and Parameter Calculation 20一直日
3.1.1 Series Resistance 23
3.1.2 Epi-Resistance 24
3.1.3 Epi-Substrate Resistance 25
3.1.4 Substrate Resistance 25
3.1.5 Turn-to-Substrate Capacitance 26
3.1.6 Side-Wall Capacitance 26
3.1.7 Interlayer Capacitance 27
3.1.8 Turn Inductances 27
3.2 Patterned Ground shield 27
3.3 Eddy Current Loss 29
4. DETAILED MODEL SCHEMATICS 30
4.1 Single and Multi-layer inductors 31
4.2 Stacked transformer 32
4.3 Interwound transformer 33
4.4 Stacked-Interwound transformer 34
5. EDDY CURRENT EFFECTS 36
形容雨的词语5.1 Substrate loss 36
5.1.1 B Field Calculation 40
5.2 Current crowding effects 43
5.3 Complete Model 47
6. PROGRAM DESIGN AND USER MANUAL 50
6.1 Software Hierarchy 50
6.2 Inductor 51
6.2.1Entering Substrate and Layer Technology Data 52
6.2.2 Sandwiching Metal Layers 56
6.2.3 Creating Technology file 57
6.2.4 Entering Spiral Geometry Data 58
6.3 Modeling Spiral Transformers 62
6.3.1 Stacked Transformer 63 6.3.2 Interwound Transformer 65
6.3.2 Stacked-Interwound Transformer 66
6.4 Spice File 67
7. VALIDATIONS 70
7.1 Inductors 70
7.2 Transformers 77
8. CONCLUSIONS 82
8.1 Future Work 83 REFERENCES 84 APPENDIX A 86
LIST OF FIGURES
1. Market positioning of different products available in the market 14
2. Simplified model of an IC showing the different resistances 18
3. Simple model for a turn showing the different passive components 19
4. Illustration of top view of a three turn spiral showing the different 21
parameters along with the clod turn approximation ud in
this program.
野池5. Illustration showing the perspective view for a three turn two-layer 22
spiral with via connection shown in dotted lines
6. Section of an IC showing the different capacitances 24
7. Lumped model showing a two-layer, three turn spiral without a 23
ground shield (all the coupling coefficients are not shown)中彩网论坛
8. Lumped model showing a two-layer, three turn spiral with a 28
ground shield (all the coupling coefficients are not shown)
9. Schematic for an 8 turn, two-layer inductor 31
10. Illustration of a stacked transformer with two winding 32
shown on different layers.
11. Schematic of a four-turn stacked transformer showing the primary and 32
condary winding
12. Schematic of a two-turn interwound transformer showing the primary 33
and condary windings
13. Schematic of a four-turn stacked-interwound transformer 34
日本老电影showing the primary and condary connections
14. Illustration showing eddy loops generated in the substrate and 37
the estimation of substrate depth where the currents are significant
15. Eddy current modeling for a one-layer, three-turn spiral showing 39
the coupling coefficients between the different inductors
