A balanced, delta-connected source provides Vab = 690 / 0° to a wye-connected load with per-phase impedance 12 - j49 via a feeder line with impedance 1 + j20. Solve for the following: a. Complex Phase B voltage at the load b. Line current magnitude
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- A balanced -connected impedance load with (12+j9) per phase is supplied by a balanced three-phase 60-Hz,208-V source, (a) Calculate the line current, the total real and reactive power absorbed by the load, the load power factor, and the apparent load power, (b) Sketch a phasor diagram showing the line currents, the line-to-line source voltages, and the -load currents. Use Vab as the reference.A balanced three-phase Y-connected source with positive sequance has an internal voltage of 120 V/phase. The source feeds a balanced three-phase Y-connected load having an impedance of 39 + j28 N /phase. The impedance of the transmission line connecting the source to the load is 1+ j20/phase. The a- phase of the source is the reference voltage. a) Draw the equivalent per-phase-circuit for the phase "a". b) Calculate the three line currents in the transmission lines. c) Calculate the three phase voltages at load. d) Calculate the three line-to-line voltages at the terminals of the load. e) Calculate the total average power in watts delivered to the load. f) Calculate the total complex power in VA delivered by the source.Two delta connected loads are connected in parallel and powered by a balanced Y-connectedsource. The smaller of two loads draws 10 kVA at a lagging power factor of 0.75 and the largerdraws 25 kVA at a leading power factor of 0.8. The line voltage is 400 V. Calculate a) The powerfactor at which the source is operating. b) The total power drawn by the two loads. c) The phasecurrent of each load.
- 1. Given the circuit below, the phase voltages are given by Van = 20040° Vrms. The source impedance is 5 + j7 per phase and the wire impedance is 8 +j10 per phase. Let the load impedance be Zy = 50 ohms. Find: Van Vin Ven a. II, and Ic b. c. VAN, VBN, and VCN, and VAB, VBC, and VCA Z₂ Z₂ Z₂ Zw Zw Zw B C le NDraw a 3-phase wye-connected generator with transmission lines connected to a 3-phase delta-connected load. Assume the lines connecting them have an inductance of j5 per phase. The generated voltages are 120 Vrms with phase 'a' having a phase angle of 0°. The loads are 10 Ohm resistors per phase. When drawing, make sure to label all 3 phases with voltage phasors, line inductances, and load resistances.Problem 3 A balanced three-phase source serves two loads: Load 1: 50kVA with a power factor of 0.60 (lagging) Load 2: 75kVA with a power factor of 0.48 (leading) The line voltage at the "load" is 415.692VRMS at 480Hz. Find the line current in phasor and the combined power factor at the "load." Is the combined power factor leading or lagging?
- The following three-phase circuit is symmetrical, with line voltage 220 V, 60 Hz, direct phase sequence, isolated neutral and the value of the impedances of the loads in the three phases are: Zan = 10 ohms Zbn = -10j ohm Zcn = -10j Ohm Find:a) Phase voltages on the load;b) Line and phase currents;c) The power supplied to the load. Consider the phase voltage in the reference(Va voltage angle equal to 0)Q5. A three phase Y-connected load having the following zero, positive and negative sequence Z0 = 8 + j1292, Z1 = 452 and Z2 = 42. Determine the phase impedance matrix of impedances: the load.A delta connected load with Zab=3 + j2 Ohm, Zbc=3 + j4 Ohm and Zca=2 + j3 Ohm are connected the end of a three-phase line as shown in the figure. The line impedance is 1+j2 Ohm per phase. The line is supplied from a three-phase source with line-to-line voltage of Vab=200.0/0° V rms. Taking the phase current vector lab as the reference vector, determine; (a) Line current Ia. (b) Total complex power supplied from the source. (c) Magnitude of the line-to-line voltage at the load terminal. ao- bo- Co- 1+j2 b a
- An unbalanced three-phase wye-connected and grounded load is connected to a balanced three- phase four-wire source. The load impedances Z, Z,, and Z, are given as 70 230°, 85L-40°, and 50 235° 2/phase, respectively, and the phase a line voltage has an effective value of 13.8 kV: use the line-to-neutral voltage of phase a as the reference and determine the following: The total power aelivered to the loads. 1025.795 kW 1035.795 kW 1055.795 kW NoneIn a balanced three-phase Y-Y system, the source is an acb sequence of voltages and given Ven=120/35°V. The line impedance per phase is (1 +j2) 22, while the per-phase impedance of the load is (11 +j14) 22. Determine the followings: - i) Draw the Y-Y circuit as described above. Label all the components with the correct value. ii) Find the remaining phase voltages, Van, and Vbn iii) Draw a single-phase equivalent circuit of the three-phase system. iv) Find the following line currents, I, I, and I.given the circuit below, compute for the following is load impedance is 5+j10 and line impedance is 3+j2 a. Source phase voltages b. Source line voltages c. Line currents d. Load phase currents Ia A 110/0° V 110/120° V n 110/-120° V Ib b B Ic 20 ZA ZA C