Linear and Nonlinear Circuits: Basic & Advanced Concepts: Volume 1
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2018
|
| Series: | Lecture Notes in Electrical Engineering
441 |
| Subjects: | |
| Online Access: | BTU01 FAW01 FHA01 FHI01 FHM01 FHN01 FHR01 FKE01 FLA01 FRO01 FWS01 FWS02 HTW01 TUM01 UBY01 Volltext Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource (XXI, 273 p. 309 illus., 2 illus. in color) |
| ISBN: | 9783319612348 |
| ISSN: | 1876-1100 |
| DOI: | 10.1007/978-3-319-61234-8 |
Staff View
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Record in the Search Index
| DE-BY-FWS_katkey | 676863 |
|---|---|
| _version_ | 1824554648966529024 |
| adam_text | Mauro Parodi • Marco Storace
Linear and Nonlinear
Circuits: Basic amp; Advanced
Concepts
Volume 1
0 Springer
Contents
Part I Circuit Variables and Topology
1 Basic Concepts 3
1 1 Physical Systems, Models, Circuits 3
1 2 Components 6
1 3 Descriptive Variables 6
131 Descriptive Variables for Two-Terminal Elements 8
1 4 Electric Power and Energy 9
1 5 Kirchhoff’s Laws 11
151 Loop and Kirchhoff’s Voltage Law 12
152 Cut-Set and Kirchhoff’s Current Law 14
1 6 Descriptive Variables for «-Terminal Elements 16
161 Descriptive Currents 16
162 Descriptive Voltages 17
163 Descriptive Variables in the Standard Choice
(Associated Reference Directions) 19
1 7 Electric Power in «-Terminal Elements 19
1 8 Problems 21
Reference 22
2 Advanced Concepts 23
2 1 Basic Elements of Graph Theory 23
211 Graphs of Components and Circuits 26
212 Subgraph, Path, Loop, and Cut-Set 27
213 Tree and Cotree 29
2 2 Matrix Formulation of Kirchhoff’s Laws 30
221 Fundamental Cut-Set Matrix 31
222 Fundamental Loop Matrix 34
223 Some General Concepts on Vector Spaces
and Matrices 36
224 The Cut-Set and Loop Matrices and Their Associate
Space Vectors 39
xiii
xiv Contents
2 3 Tellegen’s Theorem 43
2 4 Problems 44
References 45
Part II Memoryless Multi-terminals: Descriptive Equations
and Properties
3 Basic Concepts 49
3 1 Solving a Circuit: Descriptive Versus Topological Equations 49
3 2 Descriptive Equations of Some Components 51
321 Resistor 51
322 Ideal Voltage Source 52
323 Ideal Current Source 53
324 Elementary Circuits 54
325 Diode 58
326 Bipolar Junction Transistor 63
3 3 General Component Properties 64
331 Linearity 64
332 Time-Invariance 64
333 Memory 65
334 Basis 66
335 Energetic Behavior 68
336 Reciprocity 69
3 4 Thevenin and Norton Equivalent Representations
of Two-Terminal Resistive Components 73
341 Thevenin Equivalent 73
342 Norton Equivalent 76
343 Comparisons Between the Two Equivalent Models 79
3 5 Series and Parallel Connections of Two-Terminals 80
351 Series Connection 80
352 Parallel Connection 82
353 Numerical Aspects 87
3 6 Resistive Voltage and Current Dividers 87
361 Resistive Voltage Divider 87
362 Resistive Current Divider 88
3 7 Problems 88
References 92
4 Advanced Concepts 93
4 1 Potential Functions 93
4 2 Content and Cocontent for Two-Terminal Memoryless
Elements 94
421 Content Function 94
422 Cocontent Function 96
423 Legendre Transformation 98
Contents xv
4 3 Content and Cocontent for Multiterminal Resistive Elements 99
4 4 Additivity of Potential Functions 101
4 5 Kirchhoff’s Laws and Variational Principles for Potential
Functions 102
46A Particular Variational Result: Resistive Circuits
that Minimize Potential Functions 107
4 7 Minimum Heat Theorem 109
References 110
Part III Memoryless Multi-ports: Descriptive Equations and
Properties
5 Basic Concepts 113
5 1 Port and n-Ports 113
5 2 Descriptive Equations of Some Two-Ports 115
521 Controlled Sources 115
522 Nullor 121
5 3 Matrix-Based Descriptions for Linear, Time-Invariant, and
Memory less Two-Ports 125
531 Resistance Matrix 126
532 Conductance Matrix 127
533 Hybrid Matrices 129
534 Transmission Matrices 130
535 Generalizations to Higher Numbers of Ports 131
5 4 Reciprocity of Two-Ports 132
541 Matrix R 132
542 Matrix H 132
543 Matrix T 133
544 Remarks and Examples 134
5 5 Symmetry of Two-Ports 136
551 Matrix R 136
552 Hybrid Matrices 137
553 Transmission Matrices 138
5 6 Directionality of Two-Ports 138
5 7 Two-Port Ideal Power Transferitors 139
571 Ideal Transformer 140
572 Gyrator 144
5 8 Connections of Two-Ports 148
581 Cascade Connection 148
582 Series-Series Connection 150
583 Parallel-Parallel Connection 151
584 Other Connections and Case Studies 151
5 9 Problems 154
References 163
XVI
Contents
6 Advanced Concepts 165
6 1 Tellegen’s Theorem: A Tool to Investigate Circuit Properties 165
6 2 Passivity 166
6 3 Reciprocity 166
6 4 Circuit Biasing and Small-Signal Relations 169
6 5 Local Activity and Amplification 171
6 6 Colored Edge Theorem 174
6 7 Circuits Consisting of Two-Terminal Elements: No-Gain
Theorems 178
References 181
Part IV Analysis of Memoryless Circuits
7 Basic Concepts 185
7 1 Nodal Analysis 185
711 Pure Nodal Analysis 185
712 Modified Nodal Analysis 189
713 Substitution Rule 190
7 2 Mesh Analysis 191
721 Pure Mesh Analysis 192
722 Modified Mesh Analysis 196
723 Substitution Rule 198
7 3 Superposition Principle 199
7 4 Substitution Principle 204
7 5 Practical Rules 205
751 Millmann’s Rule 205
752 Two-Ports with T — II Structure 207
753T =± II Transformations 210
754 Lattice (Bridge) Structures 211
755 (Resistive) Ladder Structures 214
7 6 Problems 219
8 Advanced Concepts 227
8 1 From Mesh to Loop Currents: A Graph-Based Generalization 227
8 2 Tableau Method for Linear Time-Invariant Resistive Circuits 230
8 3 Superposition Theorem 232
8 4 Equivalent Representations of Memoryless Multiports 233
841 Thevenin Equivalent Representation of Memoryless
Multiports 234
842 Norton Equivalent Representation of Memoryless
Multiports 241
843 Hybrid Equivalent Representations of Memoryless
Multiports 248
8 5 Summarizing Comments 248
Contents xvii
8 6 Problems 250
References 253
Appendix: Synoptic Tables 255
Solutions 259
|
| any_adam_object | 1 |
| author | Parodi, Mauro |
| author_facet | Parodi, Mauro |
| author_role | aut |
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| dewey-ones | 621 - Applied physics |
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| dewey-search | 621.3815 |
| dewey-sort | 3621.3815 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik Elektrotechnik / Elektronik / Nachrichtentechnik Maschinenbau |
| doi_str_mv | 10.1007/978-3-319-61234-8 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:55:07Z |
| institution | BVB |
| isbn | 9783319612348 |
| issn | 1876-1100 |
| language | English |
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| physical | 1 Online-Ressource (XXI, 273 p. 309 illus., 2 illus. in color) |
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| record_format | marc |
| series | Lecture Notes in Electrical Engineering |
| series2 | Lecture Notes in Electrical Engineering |
| spellingShingle | Parodi, Mauro Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 Lecture Notes in Electrical Engineering Engineering Electronic circuits Vibration Dynamical systems Dynamics Circuits and Systems Vibration, Dynamical Systems, Control Electronic Circuits and Devices Signal, Image and Speech Processing Ingenieurwissenschaften |
| title | Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 |
| title_auth | Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 |
| title_exact_search | Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 |
| title_full | Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 by Mauro Parodi, Marco Storace |
| title_fullStr | Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 by Mauro Parodi, Marco Storace |
| title_full_unstemmed | Linear and Nonlinear Circuits: Basic & Advanced Concepts Volume 1 by Mauro Parodi, Marco Storace |
| title_short | Linear and Nonlinear Circuits: Basic & Advanced Concepts |
| title_sort | linear and nonlinear circuits basic advanced concepts volume 1 |
| title_sub | Volume 1 |
| topic | Engineering Electronic circuits Vibration Dynamical systems Dynamics Circuits and Systems Vibration, Dynamical Systems, Control Electronic Circuits and Devices Signal, Image and Speech Processing Ingenieurwissenschaften |
| topic_facet | Engineering Electronic circuits Vibration Dynamical systems Dynamics Circuits and Systems Vibration, Dynamical Systems, Control Electronic Circuits and Devices Signal, Image and Speech Processing Ingenieurwissenschaften |
| url | https://doi.org/10.1007/978-3-319-61234-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029929922&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV042385829 |
| work_keys_str_mv | AT parodimauro linearandnonlinearcircuitsbasicadvancedconceptsvolume1 AT storacemarco linearandnonlinearcircuitsbasicadvancedconceptsvolume1 |