Node List Tolerance Analysis : Enhancing SPICE Capabilities with Mathcad book cover
1st Edition

Node List Tolerance Analysis
Enhancing SPICE Capabilities with Mathcad

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ISBN 9780849370281
Published March 6, 2006 by CRC Press
352 Pages - 251 B/W Illustrations

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Book Description

Developed at UC Berkeley more than two decades ago, SPICE software is the tool of choice for performing nominal analysis for electronic circuits. However, attempts to use SPICE for worst-case analysis (WCA) reveal several shortcomings, including: a 400-sample limit for Monte Carlo Analysis (MCA); lack of Rot-Sum-Square (RSS) analysis, asymmetric component tolerances, Fast MCA, or AC sensitivity capability; no single-run method of tolerancing inputs; and no predefined beta (skewed) or bimodal (gapped) distributions for MCA. While several commercial versions of SPICE may have corrected some of these limitations, they still remain rather expensive.

Based on extensive experience in WCA, Node List Tolerance Analysis: Enhancing SPICE Capabilities with Mathcad presents software methods that overcome the many limitations of SPICE WCA using less expensive tools. The author demonstrates correct and incorrect methods of extreme value analysis, demonstrates the necessity of tolerancing multiple inputs, and provides output histograms for unusual inputs. He also shows how to detect non-monotonic components, which cause severe errors in all WCA methods except MCA. The book also includes demonstrations of tolerance analysis of three-phase AC circuits.

Node List Tolerance Analysis: Enhancing SPICE Capabilities with Mathcad requires no circuit analysis mathematics, supplying original methods of nominal circuit analysis using node lists. It is ideal for performing effective analyses while adhering to a budget.

Table of Contents


Nominal Analysis
Introduction to Node List Circuit Analysis
Passive Circuits
Introduction to Node List Circuit Analysis
All-Capacitive Circuit
All-Inductive Circuit
Twin-T RC Network
Broadband Pulse Transformer Model
All-Capacitive Loops (ACL)
All-Inductive Cutsets (ICS)
All-Capacitive Loop Example
Controlled Sources
Controlled (Dependent) Sources
Floating VCVS
Circuits with M > 1
First-Order MOSFET Model
VCVS and CCCS Example
Two Inputs, Three Outputs
Third-Order Opamp Model
A Subcircuit Scheme
Subcircuit Opamp Model
Fifth-Order Active Filter
State Variable Filter
Seventh-Order Elliptical Low-Pass Filter
Square Root of Frequency (+10dB/decade) Circuit
HV (200V) Shunt MOSFET Regulator
LTC 1562 Band-Pass Filter IC in a Quad IC
LTC 1562 Quad Band-Pass Filter IC
BJT Constant Current Source-A Simple Linear Model Using the NDS Method
uA733 Video Amplifier
Leverrier's Algorithm
Numerical Transfer Function [1]
Transfer Function Using Leverrier's Algorithm for Twin-T RC Network
Stability Analysis
Unity Gain Differential Amplifiers
Stability of LM158 Opamp Model
High-Voltage Shunt Regulator-Stability Analysis
Transient Analysis
Switched Transient Analysis
N = 2 Switched Circuit Transient Response
Comparator 100-Hz Oscillator
Transient Analysis of Pulse Transformer
Passive RCL Circuit Transient Analysis
Mathcad's Differential Equation Solvers
A Mathematical Pulse Width Modulator (PWM)
Switching Power Supply Output Stage-Buck Regulator
State Space Averaging
Simple Triangular Waveform Generator
Quadrature Oscillator
Wein Bridge Oscillator
DC Circuit Analysis
Resistance Temperature Detector (RTD) Circuit
An Undergraduate EE Textbook Problem
DC Test Circuit
Stacking VCVS's and Paralleling VCCS's
DC Voltage Sweep (RTD Circuit)
RTD Circuit-Step Resistor Value
Floating 5-V Input Source
Three-Phase Circuits
Convert ? Floating Voltage Inputs to Single-Ended Y Inputs
Three-Phase NDS Solution
Three-Phase Y-Unbalanced Load
Three-Phase Y-Connected Unbalanced Load-Floating Delta Input
Balanced Y-Load
Appendix I
Background Theory of NDS Method
Theory of NDS Method


Some Facts about Tolerance Analysis
DC Circuits
Resistance Temperature Detector (RTD) Circuit
A Note on Asymmetric Tolerances
Centered Difference Approximation-Sensitivities
RTD Circuit Monte Carlo Analysis (MCA)
RTD MCA with R4 Tolerance = 10%
RTD Circuit Fast Monte Carlo Analysis (FMCA)
A Case of FMCA Greater than EVA
Tolerancing Inputs
Beta Distributions
RTD MCA-Beta (Skewed) Distribution
MCA of RTD Circuit using Bimodal (Gapped) Distribution Inputs
AC Circuits
Circuit Output vs. Component Value
Exact Values of C1 Sensitivity
Multiple-Output EVA
Butterworth Low-Pass Filter Circuit
Butterworth Low-Pass Filter MCA
Butterworth Low-Pass Filter EVA
Butterworth Low-Pass Filter FMCA
Multiple-Feedback Band-Pass Filter (BPF) Circuit
Multiple-Feedback BPF MCA
Multiple-Feedback BPF EVA
Multiple-Feedback BPF FMCA
Switching Power Supply Compensation Circuit
Switching Power Supply Compensation MCA
Switching Power Supply Compensation EVA
Switching Power Supply Compensation FMCA
Sallen and Key Band-Pass Filter (BPF) Circuit
Sallen and Key BPF MCA
Sallen and Key BPF EVA
Sallen and Key BPF FMCA
State Variable Filter Circuit
State Variable Filter MCA
State Variable Filter EVA
State Variable Filter FMCA and MCA Combined
High-Q Hum Notch Filter Circuit
High-Q Hum Notch Filter MCA
High-Q Hum Notch Filter EVA
High-Q Hum Notch Filter FMCA
LTC 1562 MCA
LTC 1562 EVA
Transient Tolerance Analysis
Transient MCA-Twin-T RC Network
Transient MCA-Multiple Feedback BPF
AC and Transient MCA-Bessel HPF
Transient MCA-State Variable Filter
Three-Phase Circuits
Three-Phase Y-Connected Unbalanced Load MCA
Three-Phase Y-Connected Unbalanced Load EVA
Three-Phase Y-Connected Unbalanced Load FMCA
Miscellaneous Topics
Components Nominally Zero
Tolerance Analysis of Opamp Offsets
Best-Fit Resistor Ratios
Truncated Gaussian Distribution
LTC1060 Switched Capacitor Filter
Appendix II
Summary of Tolerance Analysis Methods
Table of Subprograms
In Case of Difficulty

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