The application of matrix theory to electrical engineering:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Spon
1965
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 195 S. |
Internformat
MARC
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| 100 | 1 | |a Lewis, William E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The application of matrix theory to electrical engineering |c William Edwin Lewis ; D. G. Pryce* |
| 264 | 1 | |a London |b Spon |c 1965 | |
| 300 | |a XII, 195 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Electrical engineering | |
| 650 | 4 | |a Matrices | |
| 700 | 1 | |a Pryce, D. G. |e Verfasser |4 aut | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface page vii
1 The Elementary Properties of Matrices
Introduction 1
1.1 The Term Matrix 1
1.1.1 Elements of a Matrix 4
1.2 Equality of Matrices 4
1.2.1 Matrix Equations 5
1.3 Addition and Subtraction 6
1.4 Multiplication by a Scalar 7
1.5 Multiplication of Matrices 10
1.5.1 The Associative Law 16
1.5.2 The Distributive Law 18
1.6 Transpose of a Matrix 19
1.7 Square Matrices 19
1.7.1 Unit Matrix 20
1.7.2 Diagonal Matrix 20
1.7.3 Powers of Square Matrices 22
1.7.4 Symmetrical Matrix 23
1.7.5 Conjugate Matrix 24
1.7.6 Hermitian Matrix 24
1.8 The Transpose of a Product 25
1.9 The Inverse of a Matrix 26
1.9.1 Determinant of a Square Matrix 26
1.9.2 The Adjugate and the Inverse 28
1.9.3 Some Uses of the Inverse 31
1.9.4 Tfte Solution of Sets of Linear Equations 35
1.10 Partitioning of Matrices 38
1.10.1 Multiplication of Partitioned Matrices 39
1.10.2 Uses of Partitioning 42
2 Elementary Applications
2.1 Equations of a Network 46
2.2 Network Topology 49
2.2.1 Definitions 49
x Contents
2.2.2 Basic Voltages 51
2.2.3 Basic Currents 52
2.2.4 Sub Networks 54
2.3 Network Equations 55
2.3.1 Mesh Equations 56
2.3.2 Reduction Formulae 59
2.4 Calculation of Power 62
2.5 Treatment of Complex Numbers 63
3 Further Properties of Matrices
3.1 Homogeneous Equations 66
3.1.1 Linear Dependence 67
3.1.2 Proof of the Direct Theorem 68
3.1.3 Proof of the Converse Theorem 69
3.2 The Determinant of a Product of Matrices 72
3.2.1 The Determinant of a Special Product 72
3.2.2 Proof of the Theorem 73
3.3 The Equation AB = 0 74
3.3.1 Some Similar Equations 75
example 3.1 AC = BC 75
example 3.2 Au = Bu 76
EXAMPLE 3.3 77
3.4 Latent Roots and Vectors 77
3.4.1 Symmetrical Matrix 78
3.4.2 Non Symmetrical Matrix 80
3.4.3 Applications 81
example 3.4 Numerical 81
example 3.5 Symmetrical Matrix 83
example 3.6 Unsymmetrical Matrix 85
example 3.7 Circulant Matrix 88
3.5 Linear Independence of Latent Vectors 93
4 Transformations
4.1 Change of Variable 95
4.1.1 Voltage Matrix 95
4.1.2 Impedance Matrix 96
4.2 Transformation from Branch to Mesh Currents 98
4.2.1 Connection Matrix 100
4.2.2 New Voltage Matrix 100
4.2.3 New Impedance Matrix 100
4.2.4 Primitive Network 102
4.2.5 Krorts Method 103
Contents xi
4.2.6 Extension ofKron s Method 105
4.3 Arbitrary Transformations 107
4.3.1. Transformation Formulae 108
4.3.2 Symmetrical Components 109
5 Nodal Voltage Equations
5.1 Radial Node Equations 113
example 5.1 113
5.1.1 Admittance Matrix Rule 114
5.1.2 Current Matrix 115
5.2 Transformations 115
5.2.1 Change of Variable 115
5.2.2 Kron s Transformation 116
5.2.3 Mutual Inductance 119
6 Symmetrical Components
6.1 Symmetrical Component Transformation 120
6.2 Shunt Faults 123
6.2.1 Principle of Technique 124
6.2.2 Double Line Fault 126
6.2.3 Interconnected Generators 129
6.2.4 Impedance in Fault Path 131
6.3 Open Circuit Faults 131
6.4 Multiple Faults 134
7 Four Terminal Networks
7.1 Associated Matrices 141
7.1.1 Impedance Matrix Z 143
7.1.2 Admittance Matrix Y 145
7.1.3 H and G Matrices 146
7.1.4 A and B Matrices 147
7.1.5 Conversion 150
7.2 Matrices of Basic Four Terminal Networks 150
7.2.1 Passive. Networks 150
Measurement of Matrix Elements 153
7.2.2 Active Networks 154
Transistors 154
7.2.3 Thermionic Valves 158
7.3 Symmetrical Networks 161
7.4 Equivalence of Networks 161
7.5 Equivalent Circuits 162
xii Contents
8 Four Terminal Network Theory and Applications
8.1 Interconnection of Four Terminal Networks 166
8.1.1 Series 166
8.1.2 Parallel 169
8.1.3 Series/Parallel 171
8.1.4 Cascade 173
8.2 Loaded Networks 175
8.3 Input Impedance 177
8.4 Voltage Ratio 178
8.5 Feedback 179
8.5.1 Oscillators 179
8.5.2 Stability 181
Infinite Impedance 182
Zero Impedance 182
example 8.1 182
8.6 Filter Networks 182
Pass Bands 184
9 Introduction to Rotating Machines
9.1 The Primitive Machine 185
9.2 Transformations 187
9.3 Torque Matrix 187
9.4 Applications 188
example 9.1 D.C. Series Machine 188
example 9.2 Repulsion Motor 189
9.5 Conclusion 191
Bibliography 192
Index 194
|
| any_adam_object | 1 |
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| dewey-full | 621.3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3 |
| dewey-search | 621.3 |
| dewey-sort | 3621.3 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| indexdate | 2024-07-09T17:29:12Z |
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| language | English |
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| physical | XII, 195 S. |
| publishDate | 1965 |
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| spelling | Lewis, William E. Verfasser aut The application of matrix theory to electrical engineering William Edwin Lewis ; D. G. Pryce* London Spon 1965 XII, 195 S. txt rdacontent n rdamedia nc rdacarrier Electrical engineering Matrices Pryce, D. G. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lewis, William E. Pryce, D. G. The application of matrix theory to electrical engineering Electrical engineering Matrices |
| title | The application of matrix theory to electrical engineering |
| title_auth | The application of matrix theory to electrical engineering |
| title_exact_search | The application of matrix theory to electrical engineering |
| title_full | The application of matrix theory to electrical engineering William Edwin Lewis ; D. G. Pryce* |
| title_fullStr | The application of matrix theory to electrical engineering William Edwin Lewis ; D. G. Pryce* |
| title_full_unstemmed | The application of matrix theory to electrical engineering William Edwin Lewis ; D. G. Pryce* |
| title_short | The application of matrix theory to electrical engineering |
| title_sort | the application of matrix theory to electrical engineering |
| topic | Electrical engineering Matrices |
| topic_facet | Electrical engineering Matrices |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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