
Diakoptics and Networks
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Content
- 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
- Problems
- Chapter 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 Network
- 3. 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 Figures
- 7. 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 Networks
- 1. 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
- 3. Example of Not of the Node-to-Datum Type
- Appendix II. (B + N - 1) Current Sources Present in Network
- 1. Summary
- 2. Netting Method
- 3. Numerical Example
- Bibliography
- Subject Index
- Mathematics in Science and Engineering
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