Ewald F. Fuchs - Introduction to Energy, Renewable Energy and Electrical Engineering

4 Chapter 3Figure 3.1 Parallel plate capacitor with capacitance C : (a) three‐dimensiona...Figure 3.2 Derivation of energy storage of capacitor under ideal (lossless) ...Figure E3.1.1 (a) Charging and discharging of a capacitor with the sawtooth ...Figure E3.1.2 Numerically computed steady‐state result i c( t ) = I ( c ) for give...Figure 3.3 Practical capacitor with capacitance C including losses defined b...Figure 3.4 Series connection of capacitors C 1, C 2, …, C N.Figure 3.5 Parallel connection of capacitors C 1, C 2, …, C N.Figure 3.6 Inductor with C‐core and air gap g . The open core is called a C‐c...Figure 3.7 Inductor with toroidal C‐core and air gap g . L is the inductance ...Figure 3.8 Symbol for an ideal inductor.Figure 3.9 Practical inductor with inductance L including losses defined by ...Figure E3.2.1 (a) Charging and discharging of an inductor with the triangula...Figure E3.2.2 Numerically computed result for v L( t ) = − V (1) as a function i LFigure 3.10 Series connection of inductances L 1, L 2, …, L N.Figure 3.11 Parallel connection of inductances L 1, L 2, …, L N.Figure 3.12 RC series circuit, where V sis a source (s) DC voltage.Figure 3.13 v c( t ) as a function of time t , defined by Eq. (3.37), and displ...Figure 3.14 Numerically computed transient solution for v c( t ) = V (2) − V (0) ...Figure 3.15 RL series circuit where V sis a source (s) DC voltage.Figure 3.16 i ( t ) = i L( t ) as a function of time t defined by Eq. (3.46) and d...Figure 3.17 Numerically computed transient solution for i ( t ) = I ( L ) based on...Figure 3.18 Two storage elements L and C in parallel with resistor R supplie...Figure E3.4.1 Two storage elements L and C in series with resistor R supplie...Figure E3.4.2 Analytical solution for the slightly underdamped response of v Figure E3.4.3 Numerical PSPICE solution for the underdamped response of v c( t Figure E3.4.4 Numerical PSPICE solution for the overdamped response of v c( t )...Figure P3.1.1 Calculation of capacitor current i c( t ) for given capacitor vol...Figure P3.2.1 Calculation of capacitor current i c( t ) for given capacitor vol...Figure P3.3.1 Calculation of transient voltage v c( t ) for t > 0 and V s= 120 ...Figure P3.4.1 Calculation of equivalent capacitance C AB.Figure P3.5.1 Calculation of equivalent capacitance C AB.Figure P3.6.1 Calculation of equivalent capacitance C AB.Figure P3.7.1 Calculation of inductor voltage v L( t ) for given inductor curre...Figure P3.8.1 Calculation of inductor voltage v L( t ) for given inductor curre...Figure P3.9.1 Calculation of transient current i ( t ) = i L( t ) for t > 0.Figure P3.10.1 Calculation of equivalent inductance L AB.Figure P3.11.1 Calculation of equivalent inductance L AB.Figure P3.12.1 Calculation of equivalent inductance L AB.Figure P3.13.1 Calculation of inductor voltage v R3L( t ) and current i ( t ).Figure P3.14.1 Calculation of capacitor voltage v c( t ) and current i ( t ).Figure P3.15.1 Calculation of capacitor voltage v c( t ) and current i ( t ).Figure P3.16.1 Calculation of transient charging current i ( t ) and resonant/o...

5 Chapter 4Figure 4.1 General form of a sinusoid in time domain.Figure 4.2 RL time domain network.Figure 4.3 RL complex number domain network .Figure 4.4 Complex number depicted in the Gaussian [2] plane relating rectan...Figure E4.1.1 RL circuit response solved in the complex domain for forcing...Figure E4.1.2 Representation of the complex quantities in Eq. (E4.1.7).Figure E4.2.1 RL network with voltage v ( t ) and current i ( t ).Figure 4.5 Resistor exposed to complex voltage resulting in complex respon...Figure 4.6 Phasor forcing voltage and phasor response current applied as...Figure 4.7 Graphical representation of forcing voltage and phasor response...Figure 4.8 Inductor exposed to complex voltage resulting in complex respon...Figure 4.9 Phasor forcing voltage and phasor response current applied as...Figure 4.10 Graphical representation of forcing voltage and phasor respons...Figure 4.11 Capacitor exposed to complex voltage resulting in complex resp...Figure 4.12 Phasor forcing voltage and phasor response current applied a...Figure 4.13 Graphical representation of forcing voltage and phasor respons...Figure 4.14 General network in a block diagram.Figure 4.15 Series connection of impedances.Figure 4.16 Parallel connection of impedances.Figure 4.17 Parallel connection of admittances.Figure 4.18 Series connection of admittances.Figure E4.3.1 RLC circuit solved by applying Kirchhoff’s voltage and current...Figure E4.3.2 Phasor diagram in the complex plane of the above calculated vo...Figure E4.4.1 RLC circuit solved by applying nodal analysis.Figure E4.5.1 RLC circuit solved based on mesh/loop analysis.Figure E4.6.1 RLC network solved with the principle of superposition.Figure E4.6.2 RLC circuit without current source (open circuit).Figure E4.6.3 RLC circuit without voltage source (short circuit).Figure E4.7.1 Original RLC network.Figure E4.7.2 First transformation of RLC network.Figure E4.7.3 Second transformation of RLC network.Figure E4.7.4 Final transformed RLC network.Figure E4.8.1 Original RLC circuit.Figure E4.8.2 Desired reduced RLC circuit by applying Thévenin’s theorem.Figure E4.8.3 Circuit for finding the open‐circuit voltage .Figure E4.8.4 Redrawn circuit for finding the open‐circuit voltage Figure E4.8.5 Definition of Thévenin impedance .Figure E4.9.1 Original RLC circuit, where the voltage source is transforme...Figure E4.9.2 Circuit with the short‐circuit current and parallel impedanc...Figure E4.9.3 Circuit where the short‐circuit current is replaced by volta...Figure E4.9.4 Reduced circuit.Figure E4.9.5 Definition of Thévenin impedance.Figure E4.9.6 Circuit with current source in Eq. (E4.9.1) and defined in t...Figure E4.10.1 Asymmetric sawtooth function.Figure E4.11.1 Pulse function.Figure P4.1.1 Capacitor supplied by current i s( t ).Figure P4.1.2 Impedance calculation .Figure P4.1.3 Equivalent impedance .Figure P4.2.1 Equivalent admittance .Figure P4.3.1 Equivalent admittance and current .Figure P4.4.1 Bridge‐type circuit.Figure P4.5.1 Voltage as a function of given current source.Figure P4.6.1 Current as a function of given current source.Figure P4.7.1 Application of KVL and KCL.Figure P4.8.1 Application of nodal analysis.Figure P4.9.1 Mesh analysis.Figure P4.10.1 Loop/mesh analysis.Figure P4.11.1 Analysis based on the principle of superposition.Figure P4.12.1 Analysis using source transformation/exchange.Figure P4.13.1 Application of Thévenin’s theorem (impressed voltage source)....Figure P4.14.1 Application of Norton’s theorem (impressed current source).Figure P4.15.1 Symmetric waveform, rectangular/trigonometric analysis with p...Figure P4.16.1 Symmetric waveform, exponential analysis with period T .Figure 4.A.1 Complex number in Gaussian plane.Figure 4.A.2 Complex number in Gaussian plane.Figure 4.A.3 Complex number in Gaussian plane.Figure 4.A.4 Complex number in Gaussian plane.