Analysis of Faulted Power Systems

Cover Image Copyright Year: 1995
Author(s): Paul M. Anderson
Book Type: Wiley-IEEE Press
Content Type : Books & eBooks
Topics: Power, Energy, & Industry Applications
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Abstract

This classic text offers you the key to understanding short circuits, open conductors and other problems relating to electric power systems that are subject to unbalanced conditions. Using the method of symmetrical components, acknowledged expert Paul M. Anderson provides comprehensive guidance for both finding solutions for faulted power systems and maintaining protective system applications. You'll learn to solve advanced problems, while gaining a thorough background in elementary configurations.

Features you'll put to immediate use:

  • Numerous examples and problems
  • Clear, concise notation
  • Analytical simplifications
  • Matrix methods applicable to digital computer technology
  • Extensive appendices

  •   Click to expandTable of Contents

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      Frontmatter

      Page(s): i - xx
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      The prelims comprise:
      Half Title
      IEEE Press Board Page
      Title
      Copyright
      Table of Contents
      Preface to the IEEE Reissued Edition
      Preface
      List of Symbols
      Half Title View full abstract»

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      General Considerations

      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled:

    • Per Unit Calculations

    • Change of Base

    • Base Value Charts

    • Three-Phase System

    • Converting from Per Unit Values to System Values

    • Examples of Per Unit Calculations

    • Phasor Notation

    • The Phasor a or a-Operator

    • This chapter contains sections titled:

    • Problems

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    Symmetrical Components

    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Symmetrical Components of an n-Phase System

  • Symmetrical Components of a Three-Phase System

  • Symmetrical Components of Current Phasors

  • Computing Power of Symmetrical Components

  • Sequence Components of Unbalanced Network Impedances

  • Sequence Components of Machine Impedances

  • Definition of Sequence Networks

  • This chapter contains sections titled:

  • Problems

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    Analysis of Unsymmetrical Faults: ThreeComponent Method

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • The Single Line-to-Ground (SLG) Fault

  • The Line-to-Line (LL) Fault

  • The Double Line-to-Ground (2LG) Fault

  • The Three-Phase (3?>) Fault

  • Other Types of Shunt Faults

  • Comments on Shunt Fault Calculation

  • Sequence Network Equivalents for Series Fault

  • Unequal Series Impedances

  • One Line Open (1LO)

  • Two Lines Open (2LO)

  • Other Series Faults

  • This chapter contains sections titled:

  • Problems

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    Sequence Impedance of Transmission Lines

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Positive and Negative Sequence Impedances of Lines

  • Mutual Coupling

  • Self and Mutual Inductances of Parallel Cylindrical Wires

  • Carson's Line

  • Three-Phase Line Impedances

  • Transpositions and Twists of Line Conductors

  • Completely Transposed Lines

  • Circuit Unbalance Due to Incomplete Transposition

  • Sequence Impedance of Lines with Bundled Conductors

  • Sequence Impedance of Lines with One Ground Wire

  • Sequence Impedance of Lines with Two Ground Wire

  • Sequence Impedance of Lines with n Ground Wires

  • Zero Sequence Impedance of Transposed Lines with Ground Wires

  • Computations Involving Steel Conductor

  • Parallel Transposed and Untransposed Multicircuit Lines

  • Optimizing a Parallel Circuit for Minimum Unbalance

  • This chapter contains sections titled:

  • Problems

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    Sequence Capacitance of Transmission Lines

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Positive and Negative Sequence Capacitance of Transposed Lines

  • Zero Sequence Capacitance of Transposed Lines

  • Mutual Capacitance of Transmission Lines

  • Mutual Capacitance of Three-Phase Lines without Ground Wires

  • Sequence Capacitance of a Transposed Line without Ground Wires

  • Mutual Capacitance of Three-Phase Lines with Ground Wire

  • Capacitance of Double Circuit Lines

  • Electrostatic Unbalance of Untransposed Lines

  • This chapter contains sections titled:

  • Problems

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    Sequence Impedance of Machines

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • General Considerations

  • Positive Sequence Impedance

  • Negative Sequence Impedance

  • Zero Sequence Impedance

  • Time Constants

  • Synchronous Generator Equivalent Circuits

  • Phasor Diagram of a Synchronous Generator

  • Subtransient Phasor Diagram and Equivalent Circuit

  • Armature Current Envelope

  • Momentary Currents

  • General Considerations

  • Induction Motor Equivalent Circuit

  • Induction Motor Subtransient Fault Contribution

  • Operation with One Phase Open

  • This chapter contains sections titled:

  • Problems

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    Sequence Impedance of Transformers

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Single-Phase Transformer Equivalents

  • Transformer Impedances

  • Transformer Polarity and Terminal Markings

  • Three-Winding Transformers

  • Autotransformer Equivalents

  • Three-Phase Banks of Single-Phase Units

  • Three-Phase Transformer Terminal Markings

  • Phase Shift in Y-?>. Transformers

  • Zero Sequence Impedance of Three-Phase Transformers

  • Grounding Transformer

  • The Zigzag-?> Power Transformer

  • Off-Nominal Turns Ratios

  • Three-Winding Off-Nominal Transformers

  • This chapter contains sections titled:

  • Problems

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    Changes in Symmetry

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Creating Symmetry by Labeling

  • Generalized Fault Diagrams for Shunt (Transverse) Faults

  • Generalized Fault Diagrams for Series (Longitudinal) Faults

  • Computation of Fault Currents and Voltages

  • A Fundamental Result: The Invariance of Power

  • Constraint Matrix K

  • Kron's Primitive Network

  • Other Useful Transformations

  • Shunt Fault Transformations

  • Transformations for Shunt Faults with Impedance

  • Series Fault Transformations

  • Summary

  • This chapter contains sections titled:

  • Problems

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    Simultaneous Faults

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Two-Port Network

  • Interconnection of Two-Port Networks

  • Simultaneous Fault Connection of Sequence Networks

  • Series-Series Connection (Z¿¿-¿¿Type Faults)

  • Parallel-Parallel Connection (Y¿¿-¿¿Type Faults)

  • Series-Parallel Connection (H¿¿-¿¿Type Faults)

  • Constraint Matrix for Z¿¿-¿¿Type Faults

  • Constraint Matrix for Y¿¿-¿¿Type and H¿¿-¿¿Type Faults

  • This chapter contains sections titled:

  • Problems

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    Analytical Simplifications

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Two-Component Method

  • Single-Line-to-Ground Fault

  • Line-to-Line Faul

  • Double Line-to-Ground Fault

  • Three-Phase Fault

  • Two Lines Open (2LO)

  • One Line Open (1LO)

  • Phase Shifting Transformer Relations

  • SLG Faults with Arbitrary Symmetry

  • 2LG Faults with Arbitrary Symmetry

  • Series Faults with Arbitrary Symmetry

  • Series Network Connection¿¿-¿¿SLG and 2LO Faults

  • Parallel Network Connection¿¿-¿¿2LG and 1LO Fault

  • This chapter contains sections titled:

  • Problems

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    Computer Solution Methods Using the Admittance Matrix

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Primitive Matrix

  • Node Incidence Matrix

  • Node Admittance and Impedance Matrice

  • Indefinite Admittance Matrix

  • Definite Admittance Matrix

  • This chapter contains sections titled:

  • Problems

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    Computer Solution Methods Using the Impedance Matrix

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Impedance Matrix in Shunt Fault Computations

  • An Impedance Matrix Algorithm

  • Adding a Radial Impedance to the Reference Node

  • Adding a Radial Branch to a New Node

  • Closing a Loop to the Reference

  • Closing a Loop Not Involving the Reference

  • Adding a Mutually Coupled Radial Elemen

  • Adding a Group of Mutually Coupled Lines

  • Comparison of Admittance and Impedance Matrix Techniques

  • This chapter contains sections titled:

  • Problems

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    Appendix A: Matrix Algebra

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

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    Appendix B: Line Impedance Tables

    Analysis of Faulted Power Systems
    Copyright Year: 1995

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    Appendix C: Trigonometric Identities for ThreePhase Systems

    Analysis of Faulted Power Systems
    Page(s): 467 - 469
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This classic text offers you the key to understanding short circuits, open conductors and other problems relating to electric power systems that are subject to unbalanced conditions. Using the method of symmetrical components, acknowledged expert Paul M. Anderson provides comprehensive guidance for both finding solutions for faulted power systems and maintaining protective system applications. You'll learn to solve advanced problems, while gaining a thorough background in elementary configurations.

    Features you'll put to immediate use:

    • Numerous examples and problems
    • Clear, concise notation
    • Analytical simplifications
    • Matrix methods applicable to digital computer technology
    • Extensive appendices
    View full abstract»

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    Appendix D: Self Inductance of a Straight Finite Cylindrical Wire

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

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    Appendix E: Solved Examples

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    Appendix F: Y Transformations

    Analysis of Faulted Power Systems
    Page(s): 502
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This classic text offers you the key to understanding short circuits, open conductors and other problems relating to electric power systems that are subject to unbalanced conditions. Using the method of symmetrical components, acknowledged expert Paul M. Anderson provides comprehensive guidance for both finding solutions for faulted power systems and maintaining protective system applications. You'll learn to solve advanced problems, while gaining a thorough background in elementary configurations.

    Features you'll put to immediate use:

    • Numerous examples and problems
    • Clear, concise notation
    • Analytical simplifications
    • Matrix methods applicable to digital computer technology
    • Extensive appendices
    View full abstract»

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    Summary of Important Vector Relations

    Analysis of Faulted Power Systems
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    Bibliography

    Analysis of Faulted Power Systems
    Page(s): 503 - 506
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This classic text offers you the key to understanding short circuits, open conductors and other problems relating to electric power systems that are subject to unbalanced conditions. Using the method of symmetrical components, acknowledged expert Paul M. Anderson provides comprehensive guidance for both finding solutions for faulted power systems and maintaining protective system applications. You'll learn to solve advanced problems, while gaining a thorough background in elementary configurations.

    Features you'll put to immediate use:

    • Numerous examples and problems
    • Clear, concise notation
    • Analytical simplifications
    • Matrix methods applicable to digital computer technology
    • Extensive appendices
    View full abstract»

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    Index

    Analysis of Faulted Power Systems
    Page(s): 507 - 513
    Copyright Year: 1995

    Wiley-IEEE Press eBook Chapters

    This classic text offers you the key to understanding short circuits, open conductors and other problems relating to electric power systems that are subject to unbalanced conditions. Using the method of symmetrical components, acknowledged expert Paul M. Anderson provides comprehensive guidance for both finding solutions for faulted power systems and maintaining protective system applications. You'll learn to solve advanced problems, while gaining a thorough background in elementary configurations.

    Features you'll put to immediate use:

    • Numerous examples and problems
    • Clear, concise notation
    • Analytical simplifications
    • Matrix methods applicable to digital computer technology
    • Extensive appendices
    View full abstract»



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