7 Chapter 6Figure 6.1 Single permanent magnet and associated magnetic flux Φ, magnetic ...Figure 6.2 Pair of permanent magnets and associated magnetic fields resultin...Figure 6.3 Pair of permanent magnets and associated magnetic fields resultin...Figure 6.4 (a) Application of Ampere's law to a uniform long wire located in...Figure 6.5 Right‐hand rule [3], where current I generates H Φ, which is ...Figure E6.1.1 Infinitely long single wire conducting a DC current of I = 50 ...Figure E6.1.2 Magnetic field densities inside and outside of a single conduc...Figure 6.6 C‐type iron core with one winding/coil having N turns and an air ...Figure 6.7 Equivalent circuit for Figure 6.6 with mmf = ℱ = N i ( t ), flux Φ, ...Figure E6.2.1 C‐type iron‐core magnetic circuit with gap g = 0.02 m and rela...Figure 6.8 Magnetically coupled circuit with two windings. The dot (•) conve...Figure 6.9 Magnetic arrangement of two coupled windings residing on iron cor...Figure 6.10 Electric equivalent circuit of a coupled two‐winding system resi...Figure 6.11 Detailed electric equivalent circuit with zero leakage fluxes; L Figure 6.12 Single‐phase transformer with voltage source
, load impedance
Figure 6.13 Magnetic circuit of ideal transformer.Figure 6.14 Circuit symbol for ideal (single‐phase) transformer. The two par...Figure E6.4.1 Electric circuit with two coupled inductors supplied by curren...Figure E6.5.1 Electric circuit with ideal single‐phase transformer and given...Figure E6.6.1 Ideal transformer fed by current source
supplying resistive–...Figure E6.7.1 Electric circuit with ideal single‐phase transformer and given...Figure 6.15 Single‐phase transformer with input power P in, output power P outFigure 6.16 Shell‐form, single‐phase transformer with interleaved primary an...Figure 6.17 (a) Butt‐to‐butt, (b) wound, and (c) mitered iron cores: for eit...Figure 6.18 Winding arrangement of one‐eighth of an S = 25 kVA oil‐cooled si...Figure 6.19 Linear T ‐equivalent circuit of two‐winding, single‐phase transfo...Figure 6.20 Phasor diagram of two‐winding single‐phase transformer derived f...Figure E6.8.1 Linear single‐phase transformer at resistive load R load= 1.15...Figure E6.8.2 Not‐to‐scale phasor diagram for the linear transformer equival...Figure E6.9.1 Linear single‐phase transformer at resistive–inductive load
...Figure E6.9.2 Not‐to‐scale phasor diagram for the linear transformer equival...Figure E6.10.1 Linear single‐phase transformer at resistive–inductive load w...Figure E6.10.2 Not‐to‐scale phasor diagram for the linear transformer equiva...Figure 6.21 (a) Grid structure for numerical field calculation [9] (see Chap...Figure 6.22 Magnetostatic flux distribution in ( x – y ) plane [9]. The flux tub...Figure 6.23 Magnetostatic flux distribution in y – z plane [9]. Flux tubes do ...Figure 6.24 Measured and calculated nonlinear ( λ – i ) characteristics [9]...Figure 6.25 (a) Balanced instantaneous three‐phase voltages
leading the ...Figure E6.11.1 Y‐Y three‐phase transformer at Y‐connected resistive load, re...Figure E6.11.2 Not‐to‐scale phasor diagram of primary and secondary phase vo...Figure E6.11.3 Single‐phase equivalent circuit of Figure E6.11.1. In the fol...Figure E6.12.1 Y‐Y three‐phase transformer at Δ‐connected resistive–inductiv...Figure E6.12.2 Not‐to‐scale phasor diagram of primary and secondary phase vo...Figure E6.12.3 Single‐phase equivalent circuit of Figure E6.12.1. In the fol...Figure E6.13.1 Δ‐Y three‐phase transformer at Y‐connected resistive–inductiv...Figure E6.13.2 Not‐to‐scale phasor diagram of primary line‐to‐line and secon...Figure E6.13.3 Single‐phase equivalent circuit of Figure E6.13.1.Figure E6.14.1 Δ‐Y three‐phase transformer at Y‐connected resistive–inductiv...Figure E6.14.2 Not‐to‐scale phasor diagram of primary line‐to‐line and secon...Figure E6.14.3 Single‐phase equivalent circuit of Figure E6.14.1.Figure P6.1.1 Network with two coupled linear (without any iron core) induct...Figure P6.2.1 Network with two coupled linear (without any iron core) induct...Figure P6.3.1 Network with two coupled linear (without any iron core) induct...Figure P6.4.1 Network with two coupled linear (without any iron core) induct...Figure P6.5.1 Network with two coupled linear (without any iron core) induct...Figure P6.6.1 Network with two coupled linear (without any iron core) induct...Figure P6.7.1 Network with ideal (step‐up) transformer with N 1: N 2winding ...Figure P6.8.1 Network with ideal (step‐up) transformer with N 1: N 2winding ...Figure P6.9.1 Network with ideal (step‐down) transformer with N 1: N 2windin...Figure P6.10.1 Network with ideal (step‐down) transformer with N 1: N 2windi...Figure P6.11.1 Network with ideal (step‐down) transformer with N 1: N 2windi...Figure P6.12.1 Circuit with Y‐Δ three‐phase distribution transformer with tw...Figure P6.13.1 Circuit with Y‐Δ three‐phase distribution transformer with Δ‐...Figure P6.14.1 Circuit with Δ–Δ three‐phase, sub‐transmission transformer wi...Figure P6.15.1 Circuit with Δ–Δ three‐phase sub‐transmission transformer wit...Figure P6.16.1 Circuit with Δ–Δ three‐phase transmission transformer with tw...
8 Chapter 7Figure 7.1 Definition of general transfer function G ( jω ) = M ( ω )e jϕ...Figure E7.1.1 First‐order RC low‐pass filter circuit.Figure E7.1.2 Magnitude M ( ω ) and the phase angle Φ( ω ) for first‐or...Figure E7.2.1 First‐order RC high‐pass filter circuit.Figure E7.2.2 Magnitude M ( ω ) and the phase angle Φ( ω ) for first‐or...Figure E7.3.1 Band‐pass (second‐order) RLC filter circuit.Figure E7.3.2 Magnitude M ( ω ) and phase angle Φ( ω ) for (second‐orde...Figure E7.4.1 Band‐rejection (second‐order) RLC filter circuit.Figure E7.4.2 Magnitude M ( ω ) and phase angle Φ( ω ) for (second‐orde...Figure E7.5.1 Series RLC (second‐order) resonant circuit.Figure E7.5.2 Magnitude
and phase angle Φ Is( ω ) of the source current Figure E7.5.3 Phasors
and
. For 7.5 krad/s < ω 0the current
leads Figure E7.6.1 Parallel GLC (second‐order) resonant circuit, where G = 1/ R .Figure E7.6.2 Magnitude
and phase angle Φ Is( ω ) of the source current Figure E7.6.3 Phasors
and
. For 5 krad/s < ω 0the current
lags
, ...Figure E7.7.1 RLC series network.Figure P7.1.1 Network R 1, R 2, and C .Figure P7.2.1 Network R , L , and C .Figure P7.3.1 Network R 1, R 2, L , and C .Figure P7.4.1 RC network.Figure P7.5.1 Network R 1, R 2, and C .Figure P7.6.1 Series network R , L , and C .Figure P7.7.1 Series network R , L , and C with v s( t ) = 169.68 V cos ωt o...Figure P7.11.1 Parallel network.Figure P7.12.1 Parallel network R , L , and C .Figure P7.13.1 Network R 1, R 2, L , and C .
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