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A three-phase line, which has an impedance of
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Chapter 2 Solutions
POWER SYS. ANALYSIS+DESIGN
- Three triphasic loads associated in parallel are powered by a balanced triphasic source: LOAD 1: 250 kVA, Power Factor (PF) = 0,8 (delayed) LOAD 2: 300 kVA, PF = 0,95 (advanced) LOAD 3: 450 kVA, PF = 1 If the line voltage is 13,8 kV, calculate the line current (in ampère). Suppose the line impedance is zero.arrow_forwardSOLVE FOR THE UNKNOWN CURRENTS AND VOLTAGES ASKED source: 208V balanced line to line Line 1: Conductors with impedance per line of 0.4+j1.2 Line 2: Conductors with impedance per line of 0.7+j1.7 Load 1: Y-connected with impedance per phase of 30+j40 Load 2: delta-connected with impedance per phase of 60+j42 Load 3: Y-connected with impedance per phase of 0.0-j23arrow_forwardThe following three parallel-connected three-phase loads are fed by a balanced three-phase source: Load 1: 250 kVA, 0.8 pf lagging Load 2: 300 kVA, 0.95 pf leading Load 3: 450 kVA, unity pf If the line voltage is 13.8 kV, calculate the line current and the power factor of the source. Assume that the line impedance is zero.arrow_forward
- A balanced three-phase distribution line has an impedance of 1+j8 Ω/ϕ. This line is used to supply three balanced three-phase loads that are connected in parallel. The three loads are L1=120 kVA at 0.96 pf leading, L2=180 kVA at 0.80 pf lagging, and L3=100.8 kW and 15.6 kVAR (magnetizing). The magnitude of the line voltage at the terminals of the loads is 24003 V. 1. a) What is the magnitude of the line voltage at the sending end of the line? 2. b) What is the percent efficiency of the distribution line with respect to average power?arrow_forwarda) A balanced three-phase delta-connected overhead line has constants A = 0.9/10°, B = 50/64° Ω . The receiving end line voltage is held at 330kV. The line is to transmit 1000MWat a power factor of 0.9 lagging at the receiving end. Determine the following: i) Receiving end current ii) Sending end voltage b) If the line is now to transmit 900 MW at a leading power factor of 0.8 at the receiving end determine the following: i) Receiving end current ii) Sending end current PLEASE Comment on your answers to a) and b) PLEASE I NEED CORRECT SOLUTION. THANK YOU.arrow_forwardThe phase voltage at the terminals of a balanced three-phase Yconnected load is 2400 V. The load has an impedance of 16 + j12 Ω/ϕ and is fed from a line having an impedance of 0.10 + j0.80 Ω/ϕ. The Yconnected source at the sending end of the line has a phase sequence of acb and an internal impedance of 0.02 + j0.16 Ω/ϕ. Use the a-phase voltage at the load as the reference and calculate (a) the line currents IaA, IbB, and IcC; (b) the line voltages at the source, Vab, Vbc, and Vca; and (c) the internal phase-to-neutral voltages at the source, Va ′n, Vb′n, and Vc′n.arrow_forward
- Circuit theory I just want the final answer, I don't need the solution steps Q.1) A Y-connected balanced three-phase generator with an impedance of Zs =0.4+j0.3 ohm per phase is connected to a Y-connected balanced load with an impedance of ZL=19+j48 ohm per phase. The line joining the generator and the load has an impedance of Zl=0.6+j0.7 ohm per phase. Assuming a positive sequence for the source voltages and that amplitude of |Van|=204 and its phase angle 30 degree Find: (a) amplitude of the line voltage Vbc, (b) amplitude of the line current Ic, (c) the complex power at the balanced three-phase load. a. (a) Vb=353.34 V, (b) Ic=3.85 A, (c) S = 89641.40 + j 1110.11 VA b. (a) Vb=288.50 V, (b) Ic=2.23 A, (c) S = 14940.23 + j 320.46 VA c. (a) Vb=353.34 V, (b) Ic=3.85 A, (c) S = 846.88 + j 2139.49 VA d. (a) Vb=353.34 V, (b) Ic=5.78 A, (c) S = 44820.70 + j 832.58 VA e. (a) Vb=353.34 V, (b) Ic=3.85 A, (c) S = 6775.04 + j 17115.90 VA f. (a) Vb=288.50 V, (b) Ic=3.85…arrow_forwardA three-phase line has an impedance of 0.1+j0.8 Ω/ϕ. The line feeds two balanced three-phase loads connected in parallel. The first load is absorbing a total of 630 kW and absorbing 840 kVAR magnetizing vars. The second load is Y-connected and has an impedance of 15.36−j4.48 Ω/ϕ. The line-to-neutral voltage at the load end of the line is 4000 V. What is the magnitude of the line voltage at the source end of the line?arrow_forwardIn a balanced abc sequential, three-phase star-star connected system, the total power on the line is 650W. If VAN117/15 degrees Vrms, the load's power factor is 0.88(forward) and the line impedance is 1+j2ohm, what is the load impedance value? a)5+j1.78ohm b) 5-j1.78ohm c) 7-j3.08ohm d) 7+j3.78ohmarrow_forward
- A 3-phase, 50-Hz overhead transmission line 100 km long has the following constants : Resistance/km/phase = 0.1 Ω Inductive reactance/km/phase = 0·2 Ω Capacitive susceptance/km/phase = 0·04 × 10− 4 siemens Determine sending end voltage when supplying a balanced load of 10,000 kW at 66 kV, p.f. 0·8 lagging. Use nominal T method . Select one: a. 330 kV b. 52 kV c. None of the above d. 69.5 kVarrow_forwardSOLVE FOR THE UNKNOWN CURRENTS AND VOLTAGES ASKED source: 400V balanced line to line Line 1: Conductors with impedance per line of 0.4+j1.2 Line 2: Conductors with impedance per line of 0.7+j1.7 Line 3: Conductors with impedance per line of 1+j2 Load 1: Y-connected with impedance per phase of 30+j40 Load 2: delta-connected with impedance per phase of 60+j42 Load 3: Y-connected with impedance per phase of 0.0-j23arrow_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_forward
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