11.42 In a balanced three-phase delta-wye system, the source has an abe-phase sequence. The line and load imped- ances are 0.6+j0.3 02 and 12+ j7 02, respectively. If the line current IA = 9.6/-20° A rms, determine the phase voltages of the source. 11.
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- A balanced three-phase source with grounded neutral has line-to-line voltages of 208 volts with ab-bc-ca sequence. It supplies power to an unbalanced three-phase wye, neutral grounded, load with impedances: Zan = 18-j10; Zbn = 15+j25; Zcn = 20+j30 ohms. What is the magnitude of the overall total apparent power of the system in va?A balanced delta connected load of 13+j16 ohm per phase is connected at the end of a three-phase line. The line impedance is 2+j11 ohm- per phase. The line is supplied from a three-phase source with a line-to-line voltage of 207.85 Vrms. Taking phase "a" voltage Va as reference, determine the following: (a) Current in phase a. (b) Total complex power supplied from the source. (c) Magnitude of the line-to-line voltage at the load terminal.A balanced delta connected load of "14+j19" 2- per phase is connected at the end of a three-phase line. The line impedance is "6+18j" 2- per phase. The line is supplied from a three-phase source with a line-to-line voltage of 207.85 Vrms. Taking phase "a" voltage Va as reference, determine the following: (a) Current in phase a. (b) Total complex power supplied from the source. (c) Magnitude of the line-to-line voltage at the load terminal.
- Two balanced loads are connected to a 240-kV rms 50-Hz line. Load 1 draws 30 kW at a power factor of 0.6 lagging, while load 2 draws 45 kVAr at a power factor of 0.8 lagging. Assuming the RYB sequence, determine: (a) the complex, real, and reactive powers absorbed by the combined load, (b) the line currents, and (c) the kVAr rating of the three capacitors ∆-connected in parallel with the load that will raise the power factor to 0.9 lagging and the capacitance of each capacitor. Verify the results by creating a MATLAB Simulink model and program. Obtain the plots for the currents and voltagesA balanced three-phase source with grounded neutral has line-to-neutral voltages of 132.7906 volts with an-bn-cn sequence. This source has an internal series impedance of 0.2+j2.5 ohms per phase. It supplies power to an unbalanced three-phase wye, neutral grounded, load with impedances: Zan = 18-j10; Zbn = 15+j25; Zcn = 20+j30 ohms. If there is a line-to-line fault at lines b and c load-side, what is the magnitude of the fault current in amperes?A balanced three-phase source with grounded neutral has line-to-neutral voltages of 132.7906 volts with an-bn-cn sequence. This source has an internal series impedance of 0.2+j2.5 ohms per phase. It supplies power to an unbalanced three-phase wye, neutral grounded, load with impedances: Zan = 18-j10; Zbn = 15+j25; Zcn = 20+j30 ohms. If line a is open creating a series fault at line load-side, what is the magnitude of the line current in line b in amperes?
- A balanced three phase wye-delta system, the source has abc sequence and Van = 124 40 V rms. If the line impedance is 0,5 +j0.4 G and load impedance is 24 +18 G. Calculate the delta load currents and the real (P) and reactive (Q) powers at each phase of the load. ..Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of (0.4j2.7) per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is 2203V. Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.A three-phase line, which has an impedance of (2+j4) per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of (30+j40) per phase, and the other is -connected with an impedance of (60j45) per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of 1203V (rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.
- The three-phase source line-to-neutral voltages are given by Ean=100,Ebh=10+240, and Ecn=10240volts. Is the source balanced? (a) Yes (b) NoConsider a three-phase Y-connected source feeding a balanced- load. The phasor sum of the line currents as well as the neutral current are always zero. (a) True (b) FalseA single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z=3.045, measured from the terminals. The source current is i(t)=22cos(t)kA. Determine the (a) instantaneous power, (b) real power, (c) reactive power delivered by the source, and (d) source power factor.