Node List Tolerance Analysis: Enhancing SPICE Capabilities with Mathcad

Published:
March 06, 2006 by CRC Press - 352 Pages
Author(s):
Robert R. Boyd, Placerville, California, USA

Purchasing Options

Hardback
$129.95
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ISBN 9780849370281
Cat# 7028
 

Features

  • Provides original circuit analysis methods that overcome SPICE WCA limitations using less expensive software
  • Offers concurrent DC, AC, and transient analysis solutions using state space methods
  • Includes multiple-input multiple-output (MIMO) solutions for both AC and DC circuits
  • Demonstrates Mathcad's built-in differential equation solver applied to transient analysis
  • Includes a CD-ROM containing Mathcad files for performing the techniques outlined in the book

    • Summary

    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
    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
    Introduction
    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

    TOLERANCE ANALYSIS

    Introduction
    Introduction
    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
    Abbreviations
    INDEX

    Downloads Updates


    Resource OS Platform Updated Description Instructions
    7028_Corrections.zip Cross Platform March 09, 2007

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