Dissertation Stephan Wagner

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D I S S E R T A T I O N

Small-Signal Device and Circuit Simulation

ausgeführt zum Zwecke der Erlangung des akademischen Grades
eines Doktors der technischen Wissenschaften

eingereicht an der Technischen Universität Wien
Fakultät für Elektrotechnik und Informationstechnik

STEPHAN WAGNER

Gauermanngasse 3
A-3003 Gablitz, Österreich

Matr. Nr. 9525168
geboren am 15. Oktober 1976 in Wien

Wien, im April 2005

Kurzfassung
Abstract
Danksagung
Contents
List of Tables
List of Figures
List of Symbols and Acronyms
1. Introduction
- 1.1 Radio Frequency
- 1.2 Devices for RF Applications
  - 1.2.1 Devices Based on the III-V Material System
  - 1.2.2 Devices Based on Silicon
- 1.3 Numerical Simulators
  - 1.3.1 The Commercial Simulators
  - 1.3.2 The Device and Circuit Simulator Minimos-NT
2. Device Simulation
- 2.1 The Analytical Problem
- 2.2 The Discretized Problem
  - 2.2.1 Interface Conditions
  - 2.2.2 Boundary Conditions
- 2.3 Steady-State and Transient Analysis
  - 2.3.1 Solving the Nonlinear System
  - 2.3.2 Transient Simulation
- 2.4 Small-Signal Simulation
  - 2.4.1 Equivalent Circuits
  - 2.4.2 Sinusoidal Steady-State Analysis
- 2.5 Derivation of the Complex-Valued Small-Signal System
  - 2.5.1 Boundary Conditions and the Complete System
  - 2.5.2 Extension for Higher-Order Transport Models
- 2.6 Concluding Remarks
  - 2.6.1 Harmonic Balance
  - 2.6.2 Complex-Valued Equation Systems
3. Small-Signal AC Analysis
- 3.1 Introduction
- 3.2 Overview of the Minimos-NT Small-Signal Capabilities
- 3.3 Standard Single-Mode AC Analysis
- 3.4 Extended Single-Mode AC Analysis
  - 3.4.1 Capacitance Matrix
  - 3.4.2 Simulation Example
- 3.5 Transformation to Extrinsic Parameters
- 3.6 Small-Signal Capabilities for Mixed-Mode Device/Circuit Simulations
- 3.7 Concluding Remarks
4. The Assembly Module
- 4.1 Key Demands on the Assembly Module
- 4.2 Approaches to Meet these Demands
  - 4.2.1 Third Party Modules and Packages
  - 4.2.2 A New Generally Applicable Assembly Module
- 4.3 Refined Key Demands on the Assembly Module
- 4.4 Condition of the Linear System
- 4.5 The Parameter Administration
- 4.6 Assembling the Complete Linear Equation System
- 4.7 Compiling the Complete Linear Equation System
  - 4.7.1 Row Transformation
  - 4.7.2 Variable Transformation
- 4.8 The Pre-Elimination
- 4.9 Sorting the Inner Linear Equation System
- 4.10 Scaling the Inner Linear Equation System
- 4.11 Solving and Back-Substitution
- 4.12 Newton Adjustment
- 4.13 The Transferred-Transformation Problem
- 4.14 Concluding Remarks
5. The Solver Module
- 5.1 Third Party Modules and Libraries
- 5.2 Overview of the Solver Module
- 5.3 External Solvers
- 5.4 Solver Hierarchy
- 5.5 Practical Evaluation of the Solvers
- 5.6 Concluding Remarks
6. Examples
- 6.1 Simulation of an InGaP/GaAs Heterojunction Bipolar Transistor
- 6.2 Simulation of a SiGe Heterojunction Bipolar Transistor
- 6.3 Simulation of a 4H-SiC MESFET
- 6.4 Oscillator
- 6.5 Simulations with Higher-Order Transport Models
  - 6.5.1 Simulation Results
  - 6.5.2 Conclusions
7. Summary and Outlook
A. Input-Deck Interface to the New Simulator Features
- A.1 Activation of the Transient and Small-Signal Mode
- A.2 Activation of the Admittance Matrix Calculation Feature
- A.3 Simulation Setup of the Diode Example
- A.4 Inquiring Capacitances
- A.5 Configuration of the Two-Port Features
- A.6 Output Functions
- A.7 Setup for the Cut-Off Frequency Extraction
- A.8 Setup of the Resonant Circuit and the Band Rejection Filter
- A.9 Inquiring Complex-Valued Node Voltages and Terminal Quantities
- A.10 Setup for the Extended Mixed-Mode AC Simulation
- A.11 Inquiring Circuit Quantities
- A.12 Selection of External Solvers
- A.13 Netlist Definition of the Oscillator Example
B. The Stepping Module of Minimos-NT
- B.1 The Basic Stepping Functions
- B.2 The Special-Purpose Stepping Functions
- B.3 Conditional Stepping
- B.4 Stepping Control
- B.5 Additional Stepping Control Keywords
C. Miscellaneous Projects
- C.1 The Minimos-NT Post-Processing System
- C.2 The Minimos-NT Interactive Mode
- C.3 SEILIB - The Simulation Environment Interaction Library
- C.4 The Minimos-NT Test
D. Calculation of Additional Extrinsic Parameters
E. Matrix Storage Formats
- E.1 Modified Compressed Sparse Row Matrices
- E.2 Compressed Sparse Row - Variant 1
- E.3 Compressed Sparse Row - Variant 2
- E.4 Matrix Storage Format Conversion
Bibliography
Own Publications
- Publications in Journals
- Publications in Conference Proceedings
Curriculum Vitae
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