2. A balanced 3-phase voltage of 360 V line-to-neutrals is applied to a balanced Y- connected load with ungrounded neutral as shown in above fig.below. Determine the line currents using symmetrical components. Ia +P Va Vb 15+9 42 Iv Ic www.24 76 j6 } j6 76
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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, 3-phase, 346.41 Vrms line voltage source feeds two loads connected in parallel with a 3-phase line with j3ohm/phase impedance.The first load is Y (star) connected and has an impedance of 12ohm/phase.The second load is D (delta) connected and has an impedance of 12ohm/phase.Taking the Van phase voltage as reference: a)Find the current, active power and reactive power provided by the source. b)Find the phase and line voltages on the loads c)Find the phase currents for each load d)Find the active and reactive power in each load. e)Find the active and reactive power loss in the line f)Show whether the total active and reactive power provided by the source is equal to the total active and reactive power in each load and line.2. A single-phase are distributor AB is fed from end A and has a total impedance of (0.3-0.3) ohm. At the far end, the voltage V-240V and the current is 100A at a p.f. of 0, 8 lagging. At the mid-point M. a current of 100 A is tapped at a p... of 0.6 lagging with reference to the voltage V_{M} at the midi-point. Calculate the supply voltage V Lambda j sending current I_{N} and the phase angle between V_{A} and V_{E}
- Q2) A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 236.87° ohm, and the transmission line's impedance is Zline = 60 253.1° ohm. To reduce transmission line losses to 0.0103 of its losses without using the transformers design and use two transformers T1 between the generator and the transmission line and T2 between the transmission line and the load.Q2) A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Ztoad 500 236.87° ohm , and the transmission line's impedance is Zine = 60 253.1° ohm. To reduce transmission line losses to 0.0103 of its losses without using the transformers design and use two transformers T1 between the generator and the transmission line and T2 between the transmission line and the load.1. Calculate the line currents for phase a, b and c.2. Calculate the line-to-neutral voltages at the load for phase a, b and c.3. Draw the phasor diagram of the source line-to-neutral voltages and line currents.
- Question 3. A three-phase impedance load balanced D a connected load in parallel with a balanced ? connected load made of bonding. D each arm for the load ?D = 6 + 6? and ? each arm for the connected load It is given as ?? = 2 + 2?. ? the connected load ?? = 1? is earthed through the neutral impedance. To this impedance load, the symmetrical component voltages ?0 = 10∠60°, ?1 = 100∠0° and ?2 = Unbalanced phase-to-earth voltages ??, ?? and ?? of 15∠200° volts were applied. a) Draw the zero, positive and negative sequence circuits. b) Find the complex powers imparted to each component circuit.In a three-phase system voltage, assume that the phase-to-neutral voltage at phase “b” is considered as the reference (zero phase angle). 1. State the positive sequence and the negative sequence. 2. Solve the following for both sequences: a. the line-to-neutral voltages : VAN ,VBN and VCN b. the line-to-line voltages : VAB , VBC and VCATwo single-phase ideal voltage sources are connected by a line of impedance of 0.7 + j2.4 Q as shown below. V, = 500/16.26' V and V2 = 58520' V. Find the complex power for each machine and determine whether they are delivering or receiving real and reactive power. Also, find the real and the reactive power loss in the line. 0.7 + j2.4 Q 500216.26° V 58520° V 9.
- 3 phase balanced Wye connected inductive loads have PLOAD When connected to VGEN three phase generator as shown in figure below. In this figure Van is reference voltage. (Generator internal resistance and line impedance are neglected. PLOAD and Van values are given in Table1.) a. Calculate the line currents (laA,IbB,and IcC) b. Calculate the line voltages (Vab,Vbc,and Vca) A N IbB bFigure Q2(a) shows a positive sequence three phase circuits. Given a line-to-line voltage at generator, ERY = 415230°V. With assumption that all load impedance are balanced, Zn=Zyb=Zbr= 15 + jl8 2, determine all phase currents at each load and line currents. Include the phasor diagram for all currents in your analysis. R Zry Zyt Figure Q2(a) If the transmission line in three phase circuit at Figure Q2(a) has a impedance of 1+j20 for each phase, determine the phase voltages for each load with using an appropriate analysis. Use phase voltage at generator, ERN as a reference. Then determine the total apparent power, active power and reactive power supplied by the generator.For transferring electrical power at 220 kV, six conductors of ACSR Drake constitute a 60Hz double circuit three phase line arranged as shown below. The vertical spacing between consecutive conductors is 14ft; the longer horizontal distance is 32ft whereas the shorter horizontal distance is 25ft. a. Find the inductance per phase per mile and the inductive reactance per phase in ohms per mile. b. Find the capacitive reactance to neutral in ohm-miles. c. Find the resistance per phase per mile in ohms per miles. d. If the length of the line is 90 miles then draw an equivalent circuit of the line and analyse the open circuit and short circuit performance of the line. e. Find the maximum power we can transmit over the line. f. If the line is delivering power to a load of 20MW at 0.8 power factor lagging then find the voltage at the receiving end of the line. Also, Determine the voltage regulation, losses and efficiency of the line. g. If a fixed shunt compensation of 3 MVAr is attached at…