Electrical Networks

PrefaceContentsSymbols1 D.C. Currents and D.C. Voltages 1.1 Current, Potential, Voltage and Resistance 1.2 The Voltage Source and the Current Source 1.3 Energy and Power 1.4 Connection of Resistors 1.5 Voltage and Current Division 1.6 The Solution of Larger Networks 1.7 The Mesh Method 1.8 The Node Method 1.9 The Current Law for a Cut-Set 1.10 Superposition 1.11 Tellegen's Theorem 1.12 Two-Ports 1.13 Thévenin's and Norton's Theorems 1.14 Maximum Power Transfer 1.15 Star-Delta Transformation 1.16 Controlled Sources 1.17 Transactors 1.18 Special Networks 1.19 Thévenin's Theorem in Networks with Transactors 1.20 The Operational Amplifier 1.21 Problems2 Varying Currents and Voltages 2.1 Introduction 2.2 Direction and Polarity 2.3 Kirchhoff's Laws and Ohm's Law 2.4 Periodical Quantities 2.5 Average Value 2.6 Power 2.7 Effective Value 2.8 Sinusoidal Quantities 2.9 Power for Sinusoidal Voltages and Currents 2.10 The Sum of Two Sinusoidal Quantities 2.11 The Capacitor 2.12 The Inductor 2.13 Energy Stored in Capacitor and Inductor 2.14 The Passive Elements in Sinusoidal Excitation 2.15 A Larger Network in Sinusoidal Excitation 2.16 Complex Numbers 2.17 Operations with Complex Numbers 2.18 Complex Voltages and Currents 2.19 Kirchhoff's Laws for Complex Quantities 2.20 The Complex ¿ Time Transformation 2.21 Vector Diagrams 2.22 Complex Power 2.23 Maximum Power Transfer for Complex Quantities 2.24 Problems3 Some Properties of Networks 3.1 Polar Diagrams 3.2 Bode Diagrams 3.3 Duality 3.4 Resonance 3.5 Lossless One-Ports 3.6 Zobel Networks 3.7 Problems4. Magnetic Coupled Inductors, Transformers 4.1 Introduction 4.2 Mutual Induction 4.3 Current Direction, Voltage Polarity and the Mode of Winding 4.4 The Value of |M| 4.5 Hopkinson's Formula 4.6 The Transformer 4.7 Impedance Transformation 4.8 Equivalent Circuits for Magnetic Coupled Coils 4.9 The Voltage and the Current Transformer 4.10 Problems5 Three-Phase Systems 5.1 The Rotating Field 5.2 The Creation of a Rotating Field 5.3 The Principle of the Three-Phase Motor 5.4 The Principle of the Three-Phase Generator 5.5 The Three-Phase Supply 5.6 Complex Three-Phase Voltages 5.7 The Three-Phase Load 5.8 Power in Three-Phase Systems 5.9 Phase Compensation 5.10 Problems6 Fourier Series 6.1 Introduction 6.2 The Infinity Series of Fourier 6.3 The Frequency Spectrum 6.4 Dirichlet's Conditions 6.5 Gibb's Phenomenon 6.6 The Fourier Series in Complex Form 6.7 The Finite Fourier Series 6.8 Reflections on Symmetry 6.9 The Effective Value of a Fourier Series 6.10 Problems7 The Complex Frequency 7.1 Introduction 7.2 A Capacitor Discharges Over a Resistor 7.3 A Capacitor Discharges Over an Inductor with Series Resistor 7.4 The Complex Frequency Plane 7.5 Extension of the Meaning of Impedance 7.6 Kirchhoff's Laws if the Frequency is Complex 7.7 Poles and Zeros 7.8 Frequency Characteristics 7.9 The Coincidence of Poles and Zeros 7.10 The Order of a Network 7.11 Natural Oscillations of a One-Port 7.12 The Location of the Poles and Zeros for an Immitance 7.13 The Number of Poles for an Immittance 7.14 Poles and Zeros on the Imaginary Axis 7.15 The Amplitude Surface 7.16 Problems8 Two-Ports, Filters 8.1 Introduction 8.2 Two-Port Matrices 8.3 Interconnection of Two-Ports 8.4 Reciprocity 8.5 Restoring the Port Condition 8.6 Poles and Zeros of a Transfer Function 8.7 Once More the Operational Amplifier (Opamp) 8.8 The Realisation of Differential Equations 8.9 Filters 9.10 Problems9 Networks Containing Switches 9.1 Introduction 9.2 Discontinuity 9.