Three phase motor is rated 750 HP at 460-V line to line, with PF of 0.85 lagging and efficiency of 95%. Solve for the rated current
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- A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10kW. (2) an induction motor drawing 10kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10hp,85 effIciency and 0.95 power factor leading (1hp=0.746kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)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).
- A single-phase synchronous motor having a synchronous reactance of 5 ohms and negligible resistance is connected across a 2200-V supply. If the input power remains constant at 100 kW, calculate the generated e.m.f. when the power factor is 0.8 leading. Sketch the phasor diagram.A 400-V, 3-phase induction motor load takes 900 kVA at a power factor of 0.707. Calculate the KVA rating of the capacitor bank to raise the resultant power factor of the installation of 0.866 lagging. Find also the resultant power factor when the capacitors are in circuit and the motor load has fallen to 300 kVA at 0.5 power factor.A 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]
- A 3-phase 400 V line-to-line wye-connected synchronous motor has Xs = 1.0 ohm/phase and a negligible armature resistance. The field current is so adjusted that the internal induced voltage is 270 V/phase, while the motor draws 40 kW power from the source. Calculate the (i) power factor of the motor; and (ii) reactive power supplied by the motor to the source.A 3-phase, 400-V, Y-connected synchronous motor has an equivalent reactance of 1 ohm per phase. The exciting current is adjusted to such value that a generated emf per phase is 260 V. Find the power factor at which the motor would operate when taking 40 kW from the supply.A 230V, 50Hz single phase motor takes 70A and operates at a power factor 0.75 lagging. If a capacitor of 160uF is connected in parallel with the motor. Find the new current and new 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 500-V, 50-Hz single-phase motor takes a full load current of 50 A at a pf of 0.959 lagging. What capacitance must be placed in parallel with the motor to raise the pf to unity?A 400 V wye-connected synchronous motor, has efficiency of 95 % and it takes 24 A at full load and unity p.f. What will be the total mechanical power developed in kW for full load and 0.9 p.f. leading? The impedance per phase is 0.2 and j2 ohms