An abc-sequence, three-phase, 4-wire, 380-V supply is connected to an unbalanced load having phase impedances of: Za = 8 + j6 Q, Zb = 8− j6 0 and Zc = 50. Impedance of the neutral wire is 0.5 +j1 2. Line impedance is 1 + j2 per phase. Find the value of the neutral current in polar form.
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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.Consider a DVR compensated single phase system as shown below. a) Without DVR, find the load terminal voltage (VL) if line resistance (Rs) is negligible with Xs = j0.5 pu , ZL = 0.8 + j0.5 pu and Vs= 1pu with angle equals to 0º.b) With DVR, if Vs=VL=1pu with angle equals to 0º, find the voltage Vtand the DVR voltage injected (Vf).
- 4. What are the values of the line voltages? 5. What are the values of the line currents? 6. What is the value of the total power drawn by three-phase load? 7. If a capacitor is part of the impedance Z, suggest the specifications (radii and length) of a cylindrical capacitor, which has to be installed in a space of 2.5 m3. Support your suggestion properly.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.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
- A 220 kV, 50 Hz, three-phase transmission line is 60 km long. The resistance per phase is 0.15 ohms/km and the inductance per phase is 1.3 mH per km and the shunt capacitance is negligible. Use the short line model to determine; i) the voltage and power at the sending end ii) voltage regulation and efficiency when the line is supplying a three-phase load of 350 MVA, 220 kV at a power factor of 0.85 lagging.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 delta-connected load has phase impedances of 4+j3 Ohms. It is connected to balanced transmission lines, with Vab = 1.5kV @ 15 degrees. a) What is the current through each of the load phases? b) What is the current through each of the transmission lines? c) Which ACSR cable should be used for these transmission lines to give a 20% current rating margin for this load?
- Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z = Z angleZ, find expressions for P and Q, from complex power considerations.(b) Express p(t) in terms of P and Q, by choosing i(t)= sqrt2*I* cos wt.(c) For the case of Z = R + jwL + 1 /jwC, interpret the result of part (b) in terms of P, QL, and QC. In particular, if w^2*LC=1, when the inductive and capacitive reactances cancel, comment on what happens.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 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.