Diakoptics and networks / H. H. Happ.

Format:

Book

Author/Creator:

Happ, H. H., 1928-

Series:

Mathematics in science and engineering ; v. 69.

Mathematics in science and engineering ; v. 69

Language:

English

Subjects (All):

Electric networks.

System analysis.

Physical Description:

1 online resource (331 p.)

Place of Publication:

New York : Academic Press, 1971.

Language Note:

English

Summary:

Diakoptics and networks

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

2. Example of Node-to-Datum Case

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 305-307) and index.

ISBN:

1-282-28910-1

9786612289101

0-08-095578-9

OCLC:

316568086