Example 12.12 Consider the unbalanced A-A circuit in Fig. 12.30. Use PSpice to find the generator current Lab, the line current IB, and the phase current Inc 12.9 PSpice for Three-Phase Circuits 531 a ww A 202 m 15 Ω 208/10° V € 502 2018/130 V b ww 202 m j5Q B -1402 208-110° V 130 Ω 202 j5Q ww -m C Figure 12.30 For Example 12.12.
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- The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load under sinusoidal-steady-state excitation. is (a) Nonzero constant (b) Zero (c) Containing double-frequency componentsThe three-wire 230/460 V rms 60 Hz system, shown in figure 12.29, supplies power to three loads: the AN load demands a complex power of 10 /40° kVA, the NB load draws 8 /10° kVA, and the AB load requires 4 /-80° kVA. Determine the two currents, the line and the neutral.Q2) A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Ztoad 500 236.87° ohm , and the transmission line's impedance is Zine = 60 253.1° ohm. To reduce transmission line losses to 0.0103 of its losses without using the transformers design and use two transformers T1 between the generator and the transmission line and T2 between the transmission line and the load.
- Q2) A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 236.87° ohm, and the transmission line's impedance is Zline = 60 253.1° ohm. To reduce transmission line losses to 0.0103 of its losses without using the transformers design and use two transformers T1 between the generator and the transmission line and T2 between the transmission line and the load.A single-phase power system is shown as the equivalent circuit below. The system has a 480V generator connected to an ideal 1:10 step-up transformer (no losses), a transmission line, an ideal 20:1 step-down transformer and a load all in series as shown. The resistance of the transmission line is 20 S2 and the reactance j60 , a load is connected to the system with an impedance of 10/30° №. For the analysis of the system, use base values of 10 kVA and 480 V at the generator, find (a) per unit values of all impedances, (b) per unit current, (c) load power (W), (d) power loss (W). NG 480 20⁰ V 10 kVA Zone 1 1:10 20 Ω j60 Ω ZL Zone 2 20:1 ILoad Zone 3 ZLoad 10/30° ΩLet a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.
- 2. A single-phase a.c. distributor AB is fed from end A and has a total impedance of (0-2 +j03) ohm. At the far end, the voltage VR = 240 V and the current is 100 A at a p.f. of 0-8 lagging. At the mid-point M, a current of 100 A is tapped at a p.f. of 0-6 lagging with reference to the voltage Vy at the mid-point. Calculate the supply voltage V and phase angle between V and Vg- [292 V, 2-6°] T 40 AProblem 4- A large 3-phase industrial load draws 3.6 MVA at 0.85 power factor lagging from through a three- phase 12.47/7.2 kV 3-wire overhead distribution line. The phase conductor is #1 ACSR “Robin". Taking 3.6 MVA and 12.47 kV as base values, determine (a) The base impedance in (N) (b) The reactive power drawn by the load (p.u.) (c) The total current (p.u.) drawn from the power supplytwo generators supplying a load. Generator I has a no-load frequency of 62.5 Hz and a slope Sp1 of I MW/Hz. Generator 2 has a no-load frequency of 62.0 Hz and a slope sp2 of I MW/Hz. The two generators are supplying a real load totaling 2.5 MW at 0.8 PF lagging. (a) At what frequency is this system operating, and how much power is supplied by each of the two generators? (b) Suppose an additional I-MW load were attached to this power system. What would the new system frequency be, and how much power would Gl and G2 supply now? Generator 1 VT V2 Generator 2 VTí KVAR KVAR
- 21. The total power drawn by two-impedance load in parallel is 15kW at 85% power factor lagging, it's being supplied by 230- volts AC source. One of the loads (Load 1) takes 11KVA at 90% power factor leading. a. What is the real power, reactive power, and the apparent power of the unknown impedance (Load 2)? b. Find the resistance and the reactance of the other impedance load (Load 2). c. Determine the currents on each branch and the total current3. A three phase source, 4-wire having a per phase voltage of 230V. An unbalanced load is connected to the three phase source. The load impedances are: Zan = 15253.13° N; Zbn = 152-53.13° ; Zen = 150° Assuming negative sequence and the reference is the phase voltage "a", determine: a. the line current "a" b. the line current “b” c. the line current "c". d. the total real power e. the total reactive power f. the total apparent power g. the overall power factor h. the neutral current.VASSESSMENT PROBLEM Objective 5-Be able to analyze circuits with ideal transformers 15 The source voltage in the phasor domain circuit in the accompanying figure is 25 /0° kV. Find the amplitude and phase angle of V2 and I2. 1.5 kn j6 kN 25:1 V2 --j14.4 N V, Ideal