Q.24: 380V, 3-0. 4-wire ABC system loaded with: 1st load is balanced Y- connected (15Z30°Q) for each phase, 2nd load is Y-connected (ZAN=15230°Q. ZBN=15Z-30°Q, & ZCN=15Z0°Q), and 3rd load is 3-0 induction motor A-connected with 50HP, 75% efficiency, &. 0.75 p.f., then calculate the total line currents.
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- A three-phase transmission line receiving end voltage is rated at 21 kV. A load of 1500 KW is connected at the receiving end of the transmission line 70 km long. The parameters of the transmission line are given by r = 0.09 Ω/km and x = 0.8 Ω/km. If the machine is working at 0.65 power factor lagging. Determine a) The series reactance of the transmission line b) Sending end line voltage c) Percentage Voltage regulation d) Percentage EfficiencyAn electrical motor is supplied from a three-phase ,50 Hz, 410 V system on-board a LNG carrier .When connected in star , it takes a line current of 35 A at a power factor of 0.66 leading. The LNG carrier arrives at port and the motor is subsequently used for powering a container crane It is now connected in delta and is supplied on-shore .Determine for this motor when it takes 64 A at 310 V, from the on-shore supply: 2.1 The power factor of the motor 2.2 the frequency of the supply The motor is returned back to its initial supply and now connected with a new motor in parallel . The new motor is connected in delta and it takes 48.216 kVA at a power factor of 0.77597 lagging with a supply of 50 Hz, 410 V system. Determine for this new arrangement : 2.3 The power factor 2.4 Apparent power taken 2.5 True power taken 2.6 Reactive power takenA 3 phase mesh-connected AC generator has a power angle of 15.4 degrees and synchronous impedance of 0.5 + j10 per phase while delivering 300A to its load at a lagging power factor and 13,200 volts line to line. Find the no load emf in volts, line to line.
- The resistance and reactance of the single-phase 60Hz transmission line conductors are 7.6 ohm and 6.6 ohm respectively. The transmission line delivers 20MW at a power factor of 0.66 lagging to the load with 54kV receiving end voltage. Determine the following a) The inductance of the transmission line in mH b) Sending end power factor c) Percentage voltage regulation d) Percentage EfficiencyElectric Machine-check image, all question there. Consider the above equivalent circuit of IM, A six pole, 250 volt(line to line), 60Hz, Y connected , three phase IM has the following parameters on a per phase basis: R1=0.125Ω , R2=0.45 Ω, X1=0.5 Ω, X2=0.75 Ω, Xm=50 Ω, Rc=225 Ω The friction and windage loss is 115 W. Determine the following at its rated slip of 1.5% a)Excitation Circuit b)Power developed by motor(Pd) c)Shaft Power(Pshaft) d)Shaft Torque(Tshaft) e)EfficiencyElectric Machine - Check image, all question there. Consider the above equivalent circuit of IM, A six pole, 250 volt(line to line), 60Hz, Y connected , three phase IM has the following parameters on a per phase basis: R1=0.125Ω , R2=0.45 Ω, X1=0.5 Ω, X2=0.75 Ω, Xm=50 Ω, Rc=225 Ω The friction and windage loss is 115 W. Determine the following at its rated slip of 1.5% a)Excitation Circuit b)Power developed by motor c)Shaft Power(Pshaft) d)Shaft Torque(Tshaft) e)Efficiency
- Given a 400sq.m single family dwelling unit to be provided with 230V, 1-phase, 2-wire be service, andhaving the following loads: 2-1.5hp A/C, 2-1.0hp A/C, 1-0.5hp water pump, 4-800W water heater, 2-6kWelectric range and 2-1kW microwave oven, determine a) the total connected load, b) the total demand load,c) the overall %demand factor, d) the size of THW feeder conductor, ground wire and IMC conduit, e) therating of feeder overcurrent protection using inverse time circuit breakerA single phase AC distributor AB 500 m long is fed from end A and is loaded as under: (i) 70A at 0.707 p.f. leading150m from point A (ii) 30A at 0.8 p.f. lagging 500m from point A The load resistance and inductive reactance of the distributor is 0.3 Ω and 0.2 Ω per kilometer. If the voltage at the far end (B) is maintained at 230V, calculate the voltage at the sending end. The load power factor is referred to the voltage at the far end.A 3Ø, Y-connected alternator is rated at 1,600KVA, 13.5KV. The armature effective AC resistance per phase is 1.5Ω. The percentage regulation for a load of 1,280kW at unity power factor is 3.5%. Determine:(a) synchronous reactance of the alternator(b) %VR at full-load 0.8pf leading(c) What is the effect on %VR value if taken at half-load lagging pf? Justify andexplain briefly your answer on one(1) sentence.
- (a) A 150 km, 3-φ, 110 kV, 50 Hz transmission line transmits a load of 40,000 kW at 0·8 p.f. lagging at the receiving end. Resistance/km/phase = 0·15Ω ; reactance/km/phase = 0·6 Ω; susceptance/km/phase = 10-5 Siemen. Determine the constant A and D by using π model.Electric Machine - check image , all question there. Consider the above equivalent circuit of IM. A six pole, 230 volt(line to line), 60Hz, Y connected , three phase IM has the following on a per phase basis: R1=0.5Ω , R2=0.25 Ω, X1=0.75 Ω, X2=0.5 Ω, Xm=100 Ω, Rc=500 Ω The friction and windage loss is 150 W. Determine the following at its rated slip of 2.5% a)Total Impedance(Zt) b)Rotor Copper Loss c)Core loss(Pm) d)Shaft Power(P0) e)EfficiencyNon-Reactive Loads of 10kW, 20kW and 12kW are connected between the neutral and the red, yellow and blue phases respectively of 3-phase, 4 wire . The line voltage is 400. If a three phase motor is now started ,taking 150 A from the lines at a power factor of 0.3 lagging What should be the total current in each line and the neutral wire? Find the total real and reactive power supplied to the loads