Henderson Electrical Networks

1. Auflage 2014
ISBN: 978-1-4832-8011-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 416 Seiten, Web PDF

Electrical Networks focuses on the principles, methodologies, practices, and approaches involved in electrical networks, including transformers, polarity, Zobel networks, and Fourier series. The book first elaborates on d.c. currents and voltages and varying currents and voltages. Discussions focus on voltage and current sources, energy and power, voltage and current division, star-delta transformation, direction and polarity, periodical quantities, capacitors and inductors, and energy stored in capacitors and inductors. The manuscript then takes a look at some properties of networks and magnetic coupled inductors. Topics include equivalent circuits for magnetic coupled coils, voltage and the current transformer, mutual induction, impedance transformation, current direction, voltage polarity and the mode of winding, polar diagrams, resonance, and Zobel networks. The publication examines networks containing switches, complex frequency, and Fourier series. Considerations include frequency spectrum, finite Fourier series, capacitor discharges over a resistor, natural oscillations, and discontinuity. The monograph is a valuable source of information for electricians and researchers interested in electrical networks.

Autoren/Hrsg.

Henderson, A.

Inhaltsverzeichnis

1;Front Cover;1
2;Electrical
Networks;4
3;Copyright Page;5
4;Table of Contents;7
5;Preface;6
6;Symbols;11
7;Chapter 1. d.c. currents and d.c. voltages;14
7.1;1.1 Current, potential, voltage and resistance;14
7.2;1.2 The voltage source and the current source;16
7.3;1.3 Energy and power;18
7.4;1.4 Connection of resistors;19
7.5;1.5 Voltage and current division;19
7.6;1.6 The solution of larger networks;20
7.7;1.7 The mesh method;21
7.8;1.8 The node method;23
7.9;1.9 The current law for a cut-set;25
7.10;1.10 Superposition;25
7.11;1.11 TellegerTs theorem;27
7.12;1.12 Two-ports;29
7.13;1.13 Thévenin's and Norton's theorems;31
7.14;1.14 Maximum power transfer;33
7.15;1.15 Star-delta transformation;34
7.16;1.16 Controlled sources;35
7.17;1.17 Transactors;35
7.18;1.18 Special networks;38
7.19;1.19 Thévenin's theorem in networks with transactors;41
7.20;1.20 The operational amplifier;43
7.21;1.21 Problems;46
8;Chapter 2.
Varying currents and voltages;60
8.1;2.1 Introduction;60
8.2;2.2 Direction and polarity;60
8.3;2.3 Kirchhoff s laws and Ohm's law;61
8.4;2.4 Periodical quantities;61
8.5;2.5 Average value;61
8.6;2.6 Power;61
8.7;2.7 Effective value;62
8.8;2.8 Sinusoidal quantities;63
8.9;2.9 Power for sinusoidal voltages and currents;65
8.10;2.10 The sum of two sinusoidal quantities;67
8.11;2.11 The capacitor;67
8.12;2.12 The inductor;68
8.13;2.13 Energy stored in capacitor and inductor;69
8.14;2.14 The passive elements in sinusoidal excitation;70
8.15;2.15 A larger network in sinusoidal excitation;71
8.16;2.16 Complex numbers;75
8.17;2.17 Operations with complex numbers;76
8.18;2.18 Complex voltages and currents;77
8.19;2.19 Kirchhofes laws for complex quantities;84
8.20;2.20 The complex -» time transformation;89
8.21;2.21 Vector diagrams;93
8.22;2.22 Complex power;97
8.23;2.23 Maximum power transfer for complex quantities;101
8.24;2.24 Problems;102
9;Chapter 3.
Some properties of networks;116
9.1;3.1 Polar diagrams;116
9.2;3.2 Bode diagrams;123
9.3;3.3 Duality;129
9.4;3.4 Resonance;131
9.5;3.6 Zobel networks;146
9.6;3.7 Problems;148
10;Chapter 4. Magnetic coupled inductors, transformers;156
10.1;4.1 Introduction;156
10.2;4.2 Mutual induction;156
10.3;4.3 Current direction, voltage polarity and the mode ofwinding;158
10.4;4.4 The value of IMI;159
10.5;4.5 Hopkinson's formula;161
10.6;4.6 The transformer;162
10.7;4.7 Impedance transformation;165
10.8;4.8 Equivalent circuits for magnetic coupled coils;167
10.9;4.8 Equivalent circuits for magnetic coupled coils;167
10.10;4.9 The voltage and the current transformer;169
10.11;4.10 Problems;170
11;Chapter 5.
Three-phase systems;176
11.1;5.1 The rotating field;176
11.2;5.2 The creation of a rotating field;177
11.3;5.3 The principle of the three-phase motor;177
11.4;5.4 The principle of the three-phase generator;179
11.5;5.5 The three-phase supply;179
11.6;5.6 Complex three-phase voltages;181
11.7;5.7 The three-phase load;181
11.8;5.8 Power in three-phase systems;185
11.9;5.9 Phase compensation;186
11.10;5.10 Problems;189
12;Chapter 6.
Fourier series;196
12.1;6.1 Introduction;196
12.2;6.2 The infinity series of Fourier;197
12.3;6.3 The frequency spectrum;199
12.4;6.4 Dirichlet's conditions;201
12.5;6.6 The Fourier series in complex form;204
12.6;6.7 The finite Fourier series;206
12.7;6.8 Reflections on symmetry;209
12.8;6.9 The effective value of a Fourier series;211
12.9;6.10 Problems;213
13;Chapter 7.
The complex frequency;218
13.1;7.1 Introduction;218
13.2;7.2 A capacitor discharges over a resistor;218
13.3;7.3 A capacitor discharges over an inductor with seriesresistor;220
13.4;7.4 The complex frequency plane;224
13.5;7.5 Extension of the meaning of impedance;225
13.6;7.6 Kirchhoff's laws if the frequency is complex;227
13.7;7.7 Poles and zeros;229
13.8;7.8 Frequency characteristics;231
13.9;7.9 The coincidence of poles and zeros;235
13.10;7.10 The order of a network;236
13.11;7.11 Natural oscillations of a one-port;237
13.12;7.12 The location of the poles and zeros for an immitance;240
13.13;7.13 The number of poles for an immittance;241
13.14;7.14 Poles and zeros on the imaginary axis;241
13.15;7.15 The amplitude surface;242
13.16;7.16 Problems;244
14;Chapter 8.
Two-ports, filters;252
14.1;8.1 Introduction;252
14.2;8.2 Two-port matrices;252
14.3;8.3 Interconnection of two-ports;257
14.4;8.4 Reciprocity;261
14.5;8.5 Restoring the port condition;263
14.6;8.6 Poles and zeros of a transfer function;265
14.7;8.7 The operational amplifier (opamp) once more;266
14.8;8.8 The realisation of differential equations;269
14.9;8.9 Filters;271
14.10;8.10 Problems;275
15;Chapter 9.
Networks containing switches;284
15.1;9.1 Introduction;284
15.2;9.2 Discontinuity;284
15.3;9.3 The continuity theorem;285
15.4;9.4 Initial conditions;287
15.5;9.5 A second-order transient problem;288
15.6;9.6 Natural oscillations;292
15.7;9.7 The impulse function;292
15.8;9.8 Sine and cosine functions with decreasing amplitude;295
15.9;9.9 Summarising example;297
15.10;9.10 Conclusion;301
15.11;9.11 Problems;302
16;Chapter 10.
Computer aided analysis;306
16.1;10.1 Introduction;306
16.2;10.2 The NA-matrix;306
16.3;10.3 The concept 'stamp';307
16.4;10.4 The MNA-matrix;307
16.5;10.5 Outline of the stamps;308
16.6;10.6 Earthing a terminal;316
16.7;10.7 Connecting two terminals;317
16.8;10.8 A terminal becomes an internal node;318
16.9;10.9 Examples;319
16.10;10.10 The solution of the matrix equation;319
16.11;10.11 Numerical integration;320
16.12;10.12 Equivalent circuits;325
16.13;10.13 Nonlinear elements;338
16.14;10.14 Problems;345
17;APENDICES;354
17.1;Appendix I: Linearity and superposition;354
17.2;Appendix II: Tellegen's theorem;358
17.3;Appendix III: Reciprocity;360
17.4;Appendix IV: Thévenin's and Norton's theorems;364
17.5;Appendix V: Star-delta transformation;369
17.6;Appendix VI: Foster's theorem;372
18;Answers to Problems;380
19;Index;414