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Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is
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Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
- 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.arrow_forwardTwo 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.arrow_forwardA 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.arrow_forward
- 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.arrow_forwardUnder balanced operating conditions, consider the 3-phase complex power delivered by the 3-phase source to the 3-phase load. Match the following expressions, those on the left to those on the right. 0) Real power, Py (ii) Reactive power, Qu (ii) Total apparent power Sy (iv) Complex power, Sy (a) (V3 VLL. IL)VA (b) (V3 Vu sng) var (e) (V3 VLL. IL cos ø) W (d) Py +Qy Note that VLL is the rms line-to-line voltage, IL is the ms line current, and o is the power-factor angle.arrow_forwardA three-phase, 3-wires CBA System alternator, sending 3-phase voltages of 339.4 volt to the lines, having a delta connected load, with VCA is the reference vector. ZBC = 12.99 – j7.5 ZCA = 8.66 + j5 ZAB = 10 + j0 Determine the phase and line current b) draw the phasor diagram and c) true power generates by the generator neglect the line losses.arrow_forward
- A balanced Y-connected generator with terminal voltage Vbc 5 200/08 volts is connected to a balanced-D load whose impedance is 10/408 ohms per phase. The line impedance between the source and load is 0.5/808 ohm for each phase. The generator neutral is grounded through an impedance of j5 ohms. The generator sequence impedances are given by Zg0 5 j7, Zg1 5 j15, and Zg2 5 j10 ohms. Draw the sequence networks for this system and determine the sequence components of the line currents.arrow_forwardPROBLEM 1. A three-phase transmission line is 100 km long. Its parameters are: z= (0.08 + j0.45) Ω/km y=j5 μS/km At the generating end it has a voltage of 115 kV L-L, and it is delivering a real power of PS= 51 MW and a reactive power of QS=31.6 MVARS. a. Find the parameters A,B,C and D. b. Determine the voltage and current at the receiving end. C. Calculate the regulation of the load node.arrow_forwardCan you please solve the d e f parts? Three symmetrical three-phase loads are connected in parallel. Load 1 is connected in Y with an impedance of 400 + j300Ω / φ, load 2 is connected in with with an impedance of 2400 - j1800Ω / φ and load 3 is evaluated at 172.8 + j2203.2 kVA. Loads are supplied from a distribution line with an impedance of 2 + j16Ω / φ. Size of the voltage between the line and the neutral conductor at the end of the charge the line is 24√3 kV. The operating frequency is 50 Hz.(a) Calculate the line currents and the phase currents of the loads.(b) Calculate the total complex power at the receiving end of the system.(c) Calculate the total complex power at the transmitting end of the line.(d) Calculate the values of the compensation capacitors which are connected from the line to the neuron at the load end of the system so that the power factor at the load end reaches pf ≥ 0.98.(e) What if the capacitors are connected from one line to another? What would be the best…arrow_forward
- Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ZL = (0:4 + j2:7) Ω 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 atthe load end of the line is 2; 200p3 V. 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.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-phasecomplex power absorbed by the line and loads.arrow_forwardA three-phase transmission line has an impedance of 2 + j8 Ω per phase. The linesupplies the following two three-phase loads:Load 1: 600 KVA at 0.8 power factor lagging.Load 2: 300 KVA at 0.9 power factor lagging.The phase voltage at the loads is Vr = 2000∟0◦ volts.Determine:a) The phase voltage at the sending end (Vs).b) Three-phase real and reactive power losses in the transmission line.c) Three-phase real and reactive power supplied at the sending end.arrow_forwardPlease answer ASAP for like this please it's urgent please Asap.. A balanced star (Y) connected three-phase generator is connected to a star (Y) balanced load whose impedance is (2+2j) Ω per phase. The line that joins the generator and the load has an impedance of (5+2j) Ω per phase. Furthermore, assuming a direct sequence in the generator voltages and that UR = 230∟0º V, determine: 1. The phase currents in the load. 2. Line currents. 3. The phase voltages at the load terminals. 4. Line voltages at source terminals. 5. Value of the line voltages at the load terminalsarrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning