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- An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor lagging. (a) Compute the required kVA rating of a shunt capacitor to improve the power factor to 0.9 lagging. (b) Calculate the resulting power factor if a synchronous motor rated at 500 hp with 90 efficiency operating at rated load and at unity power factor is added to the plant instead of the capacitor. Assume constant voltage (1hp=0.746kW).In a Three-phase alternator, a given field current produces an armature current of 250 A on short-circuit and a generated e.m.f. of 1500 V on open-circuit. Calculate the terminal p.d. when a load of 250 A at 6.6 kV and 0.8 p.f. lagging is switched off. Calculate also the regulation of the alternator at the given load. Subject: Electrical engineeringA single-phase alternator connected to 6,600-V bus-bars has a synchronous impedance of 10Ω and a resistance of 1 Ω. If its excitation is such that on open circuit the p.d. would be 5000 V, calculate the maximum load the machine can supply to the external circuit before dropping out of step and the corresponding armature current and p.f. [2864 kW, 787 A, 0.551]
- 3. A three-phase 60 Hz Wye connected, 2,000-kVA, 2,300-V alternator give a short circuit-test current of 600-A for a certain field excitation. With the same excitation, the open circuit-test voltage was 900-V. The resistance between a pair of terminal was 0.12-ohm. Find the full load regulation at a) unity power factor and b) 0.8 power factor.Suppose two generators supplying a load. Generator-1 has a no-load frequency of 61.5 Hz and a slopesp1 of 1 MW/Hz. Generator-2 has a no-load frequency of 62 Hz and a slope sp2 of 1MW/Hz. The twogenerators are supplying a real load totaling 2.5 MW at 0.8 PF lagging. Draw the resulting systempower-frequency or house-diagrams. Determine (a) at what frequency is the system operating, andhow much power is supplied by each of the generators? (b) if an additional 0.75-MW load wereattached to this power system. What would the new system frequency be, and how much powerwould the each generator supply now? (c) with the system in the configuration described in part (b),what will the system frequency and generators power be if the governor set points on generator-1 areincreased by 0.5 Hz?1.) A 6 pole, 75 Hz, 240 V, Y-connected, 3-phase generator has a synchronous reactance of 2 ohms and negligible resistance. The balanced three-phase load draws 220 kVAR at 0.90 lagging pf at 240 V. e. Solve for the voltage regulation. f. What is the current drawn by the load per phase? g. Compute the power developed in the armature per phase. h. At a total of 20kW of losses, what is the efficiency of the alternator?
- 15. A certain generator has an open-circuit voltage of 12 V and an internalresistance of 40Ω . Calculate: (a) the load resistance for maximum powertransfer; (b) the corresponding values of the terminal voltage and of thepower supplied to the load.If the load resistance were increased to twice the value for maximum powertransfer, what would be the power absorbed by the load?Consider the single-phase three-wire system shown. Find the current in the neutral wire and the complex power supplied by each source. Take V, as a 115∠0° V, 60-Hz source.A 3-phase, star -connected turbo-alternator, having a synchronous reactance of 10 Ω per phase and negligible armatureresistance, has an armature current of 220 A at unity p.f. The supply voltageis constant at 11 kV at constant frequency. If the steam admission is unchangedand the e.m.f. raised by 25%, determine the current and power factor.
- The output of 2200 Volts three phase induction motor used in a factory is800 HP. If the average p.f. is 0.8. Assume an average efficiency for themotor of 90 % (a) find the line current and kVA capacity of the generatorsupplying the factory. (b) If 400 HP of this load is noe supplied bysynchronous motor operating at 0.8 leading p.f. find the reduction in linecurrent and kVA capacity of generator.A three-phase, Y-connected load takes 50 A current at 0.707 lagging power factor at 220 V between the lines. A three-phase Y-connected round-rotor synchronous motor, having a synchronous reactance of 1.27 ohm per phase, is connected in parallel with the load. The power developed by the motor is 33 kW at a power angle of 30°. Neglecting the armature resistance, calculate (a) the reactive kVA of the motor, and (b) the overall power factor of the motor and the load.A 500 kVA, 11 kV, 3-phase star-connected alternator has the following data : Friction and windage loss = 1500 W Open-circuit core loss = 2500 W Effective armature resistance per phase 40 ohm Field copper loss = 1000 W Find (a) alternator efficiency of half-full load and at 0.8 power factor lagging, (b) maximum efficiency of the alternator.