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- A three-phase line with an impedance of (0.2+j1.0)/ phase feeds three balanced three-phase loads connected in parallel. Load 1: Absorbs a total of 150 kW and 120 kvar. Load 2: Delta connected with an impedance of (150j48)/phase. Load 3: 120 kVA at 0.6 PF leading. If the line-to-neutral voltage at the load end of the line is 2000 v (rms), determine the magnitude of the line-to-line voltage at the source end of the line.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.Figure 2.33 gives the general -Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following impedances: ZAB=j10,ZBC=j20, and ZCA=j25. ZAB=ZAZB+ZBAC+ZCZAZCZA=ZABZCAZAB+ZBC+ZCAZBC=ZAZB+ZBAC+ZCZAZAZB=ZABZBCZAB+ZBC+ZCAZCA=ZAZB+ZBAC+ZCZAZBZA=ZCAZBCZAB+ZBC+ZCA
- 3. A balanced delta connected load of "14+J18" ohm - per phase is connected at the end of a three-phase line. The line impedance is "7+J12" 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.1. A 69-kV, three-phase short transmission line is 16 km long. The line has a per phase series impedance of 0.125+j0.4375 Ω per km. Determine the sending end voltage, voltage regulation, the sending end power, and the transmission efficiency when the line delivers (a) 70 MVA, 0.8 lagging power factor at 64 kV. (b) 120 MW, unity power factor at 64 kV. Use lineperf program to verify your results. 2. A three-phase, 765-kV, 60-Hz transposed line is composed of four ACSR, l,431,000-cmil, 45/7 Bobolink conductors per phase with flat horizontal spacing of 14 m. The conductors have a diameter of 3.625 cm and a GMR of 1.439 cm. The bundle spacing is 45 cm. The line is 400 km long, and for the purpose of this problem, a lossless line is assumed. (a) Determine the transmission line surge impedance Zc, phase constant ß, Wavelength, the surge impedance loading SIL, and the ABCD constant. b) The line delivers 2000 MVA at 0.8 lagging power factor at 735 kV. Determine the sending end quantities and…A balanced, positive-sequence, Y-connected voltage source with Eab = 480∠0o volts is applied to abalanced-∆ load with Z∆ = 30 ∠40o Ω. The line impedance between the source and load is ZL = 1 ∠850 Ω.for each phase. Calculate the line currents, the ∆ -load currents, and the voltages at the load terminals.Recall that ZY = Z∆/3
- Q1: The parameters of a three-phase line 200 km long are resistance/km-0.15 0, inductivekm -0.5 and capacitive susceptancekm-2x 10° U. The transmission line is delivering 50 MVA at 132 kV with power factor 0.85 lagging. Use nominal T method to determine; 1) sending end voltage 2) sending end current 3) sending end power factor 4) transmission efficiency and 5) voltage (4 points) regulationA balanced delta-connected lood with impedance per phase of 30<30 ohms is connected to an abc-sequence balanced three-phase source with eAC = -120√2 cos (120πt + π/6) V through conductors with negligible impedances. Determine the line currents, load phase currents and the total complex power drawn by the lood. Write your values in polar form.A short 3-phase transmission line connected to a 33kV, 50 Hz generating station at the sending end is required to supply a load of 10 MW at 0·8 lagging power factor at 30 kV at the receiving end. If the minimum transmission efficiency is to be limited to 96%, estimate the per phase value of resistance and inductance of the line. [2·4 Ω; 0·028 H]
- 6. An abc-sequence, three-phase, 4-wire, 380-V supply is connected to an unbalanced load having phase impedances of: Za = 8 + j6 ohms, Zb = 8 - j6 ohms and Zc = 5 ohms. Impedance of the neutral wire is 0.5 + j1 ohms. Line impedance is 1+ j2 ohms per phase. Find the value of the neutral current in polar form.3. A balanced delta connected load of "17+j18 - per phase is connected at the end of a three-phase line. The line impedance is 7+j9 - 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.Three identical impedances Z∆ = 20\60◦ Ω are connected in ∆ to a balanced three-phase 480-V source by three identical line conductors with impedance ZL = (0:8 + j0:6) Ω per line. a) Calculate the line-to-line voltage at the load thermimals.b) Repeat part a) when a ∆-connected capacitor bank with reactance ZC = −j20 Ω per phase is connected in parallel with the load.