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Diakoptics and networks / H.H. Happ.

By: Material type: TextTextSeries: Mathematics in science and engineering ; v. 69.Publication details: New York : Academic Press, 1971.Description: 1 online resource (xv, 312 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780123241504
  • 0123241502
  • 9780080955780
  • 0080955789
  • 1282289101
  • 9781282289109
  • 9786612289101
  • 6612289104
Subject(s): Genre/Form: Additional physical formats: Print version:: Diakoptics and networks.DDC classification:
  • 621.319/20184 22
LOC classification:
  • TK3226 .H26 1971eb
Other classification:
  • 53.00
  • 83.03
  • 31.12
Online resources:
Contents:
Front Cover; Diakoptics and Networks; Copyright Page; Contents; Preface; Acknowledgments; Chapter I. Notation; 1. Summary; 2. Direct Notation; 3. Index Notation; 4. Modified Index Notation; 5. Relevant Concepts from Tensor Analysis; Bibliography; Problems; Chapter II. The Primitive Network, Transformation Equations, and Topological Concepts; 1. Summary; 2. The Primitive Reference Frame; 3. The Primitive Network; 4. Transformation Equations; 5. Topological Concepts in an Unexcited (Dead) Network; 6. Live Contours; 7. Relationships between the Submatrices of the Partitioned Connection Matrices
ProblemsChapter III. The Orthogonal Network; 1. Summary; 2. Orthogonal Concepts; 3. Transformation of Currents; 4. Transformation of Voltages; 5. Current and Voltage Contours; 6. Equations of Orthogonal Reference Frame; 7. The Orthogonal Network; 8. Summary of Three Networks Considered; Problems; Chapter IV. The Orthogonal Network-Additional Cases; 1. Summary; 2. Nondetailed Relations; 3. Detailed Relations; 4. Equivalent Sources in the Primitive Network; 5. Validity of Employing Power Invariance; Problems; Chapter V. Restricted Primitive Network; 1. Summary
2. The Restricted Primitive Network3. Restricted Primitive Obtained by Transformation; 4. Transformation Matrix and Submatrix Relationships; Problems; Chapter VI. The Restricted Primitive and the Orthogonal Network; 1. Summary; 2. Transformation of Restricted Primitive; 3. Nondetailed Tabular Relationships; 4. Detailed Equations; 5. Group of Transformations; 6. Transformation Matrix and Submatrix Relationships; Problems; Chapter VII. Constrained Contours; 1. Summary; 2. Transformation of Restricted Primitive Network; 3. Detailed Equations; 4. Other Specializations; 5. Further Relationships
6. Summary Figures7. Transformation Matrix and Submatrix Relationships; Problems; Chapter VIII. Orthogonal Network Transformations; 1. Summary; 2. Transforming Contour Set (S) to Another Set (S'); 3. Conditions for Nonsingularity of Cb.s,; 4. Transformation Tensors Cb.s' and Ab.s'; 5. Transformation Tensors Cs.s' and As'.s; 6. Constrained Transformation Tensors Cr.s' and A.s'r; 7. Transformation Matrix and Submatrix Relationships; Problems; Chapter IX. Current and Voltage Parts in Transformations; 1. Summary; 2. Current and Voltage Parts; 3. Transformation Cases; Problems
Chapter X. Boundary Case Networks1. Summary; 2. The All-Open-Path Network; 3. The All-Closed-Path Network; 4. Transforming Open-Path and Closed-Path Sets; Problems; Chapter XI. Conventional Networks; 1. Summary; 2. Ignoring or Eliminating Open Paths; 3. Ignoring or Eliminating Closed Paths; 4. Relationship between Submatrices of Zss and Yss; Problems; Chapter XII. Diakoptics; 1. Summary; 2. Contours Unconstrained; 3. Contours Constrained; 4. Interconnecting by Groups of Branches; 5. Dual Case; Problems; Appendix I. Numerical Illustration of Equations in Chapter III; 1. Summary
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  • digitized 2010 HathiTrust Digital Library committed to preserve
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Includes bibliographical references (pages 305-307) and index.

Print version record.

Use copy Restrictions unspecified star MiAaHDL

Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

Front Cover; Diakoptics and Networks; Copyright Page; Contents; Preface; Acknowledgments; Chapter I. Notation; 1. Summary; 2. Direct Notation; 3. Index Notation; 4. Modified Index Notation; 5. Relevant Concepts from Tensor Analysis; Bibliography; Problems; Chapter II. The Primitive Network, Transformation Equations, and Topological Concepts; 1. Summary; 2. The Primitive Reference Frame; 3. The Primitive Network; 4. Transformation Equations; 5. Topological Concepts in an Unexcited (Dead) Network; 6. Live Contours; 7. Relationships between the Submatrices of the Partitioned Connection Matrices

ProblemsChapter III. The Orthogonal Network; 1. Summary; 2. Orthogonal Concepts; 3. Transformation of Currents; 4. Transformation of Voltages; 5. Current and Voltage Contours; 6. Equations of Orthogonal Reference Frame; 7. The Orthogonal Network; 8. Summary of Three Networks Considered; Problems; Chapter IV. The Orthogonal Network-Additional Cases; 1. Summary; 2. Nondetailed Relations; 3. Detailed Relations; 4. Equivalent Sources in the Primitive Network; 5. Validity of Employing Power Invariance; Problems; Chapter V. Restricted Primitive Network; 1. Summary

2. The Restricted Primitive Network3. Restricted Primitive Obtained by Transformation; 4. Transformation Matrix and Submatrix Relationships; Problems; Chapter VI. The Restricted Primitive and the Orthogonal Network; 1. Summary; 2. Transformation of Restricted Primitive; 3. Nondetailed Tabular Relationships; 4. Detailed Equations; 5. Group of Transformations; 6. Transformation Matrix and Submatrix Relationships; Problems; Chapter VII. Constrained Contours; 1. Summary; 2. Transformation of Restricted Primitive Network; 3. Detailed Equations; 4. Other Specializations; 5. Further Relationships

6. Summary Figures7. Transformation Matrix and Submatrix Relationships; Problems; Chapter VIII. Orthogonal Network Transformations; 1. Summary; 2. Transforming Contour Set (S) to Another Set (S'); 3. Conditions for Nonsingularity of Cb.s,; 4. Transformation Tensors Cb.s' and Ab.s'; 5. Transformation Tensors Cs.s' and As'.s; 6. Constrained Transformation Tensors Cr.s' and A.s'r; 7. Transformation Matrix and Submatrix Relationships; Problems; Chapter IX. Current and Voltage Parts in Transformations; 1. Summary; 2. Current and Voltage Parts; 3. Transformation Cases; Problems

Chapter X. Boundary Case Networks1. Summary; 2. The All-Open-Path Network; 3. The All-Closed-Path Network; 4. Transforming Open-Path and Closed-Path Sets; Problems; Chapter XI. Conventional Networks; 1. Summary; 2. Ignoring or Eliminating Open Paths; 3. Ignoring or Eliminating Closed Paths; 4. Relationship between Submatrices of Zss and Yss; Problems; Chapter XII. Diakoptics; 1. Summary; 2. Contours Unconstrained; 3. Contours Constrained; 4. Interconnecting by Groups of Branches; 5. Dual Case; Problems; Appendix I. Numerical Illustration of Equations in Chapter III; 1. Summary

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