Electrical Networks (eBook)

A. Henderson (Autor)

eBook Download: PDF

2014 | 1. Auflage
416 Seiten
Elsevier Science (Verlag)
978-1-4832-8011-0 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 12.5.2014
• Sprache: englisch
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Maschinenbau
• ISBN-10: 1-4832-8011-X / 148328011X
• ISBN-13: 978-1-4832-8011-0 / 9781483280110