(c) A single-phase motor is connected to a 230 Vrms, 50 Hz power supply. The motor has a real power of 2.2 kW and draws a current of 12 Arms from the supply. (i) Calculate the apparent power, the reactive power and the power factor of the system. Draw the power triangle of this system with all the relevant quantities.
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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).A 230V, 50Hz, single phase motor takes a current of 4A and has a PF of 0.6 lagging. A capacitor in connected in parallel with the motor and takes a current of 3.8A. Calculate the value of new supply current and its power factor. A- Active current component is= B- Reactive current component is C- Reactive current component with capacitor is D- new current= E- new power factor =A single-phase motor is connected as shown inFigure to a 50-Hz network. The capacitor valueis chosen to obtain unity power factor. If V = 220 V,I = 20 A, and I1 = 25 A, find the capacitor value
- A three-phase, 11kV, star-connected alternator delivers a current of 80A at (a)0.85 pf leading, (b) unity power factor, (c)0.7 power factor lagging. Full-load current of 80A is produced on short circuit by a field excitation of 2.9A. An emf of 400V per phase is produced on open circuit by the same excitation. The effective armature resistance is 0.85 ohm per phase. Determine the voltage regulation in each case.A 25 kVA, 240 V single phase source supply the rated power at the rated voltage to a motor at 0.8 power factor lagging. Find the capacitor bank in order to improve the power factor to 0.9 lagging connected to a motor.a. Calculate the real power, reactive power and current before capacitor bank is connected? b. Calculate the power and reactive power after capacitor bank is connected? c.What is kVA rating of capacitor bank QC?A three-phase, star-connected synchronous motor is connected across a 400-V supply. The stator winding has a synchronous reactance of 0.8 ohms/ph and negligible resistance. If the input power remains constant at 30 kW, calculate the generated e.m.f. per phase when the power factor is 0.7 lagging. Sketch the phasor diagram.
- Two star connected induction motor are fed by 4160 V, line to line, 3-phase 60 Hzmotor control 20 ft away. Motor A drives a 600 HP compressor. The efficiency of themotor is 90 %, and its power factor is 0.5. Instruments of motor B indicate 1730 kW,277 Amps (a) Determine the capacity in microfarads of a wye connected capacitor bankthat is required to correct the power factor of the load to 0.966. (b) If asynchronous motor is installed in place of motor B and used instead of the capacitorbank to achieve tha same overall power factor (0.966), what must its power factorbe?25kVA SINGLE PHASE VHAS POWER FACTOR .8 LAGGING , 10kVAR CAPACITOR CONNECTED FOR POWER FACTOR CORRECTION . CALCULATE INPUT TAKEN FROM THE MAINS IN KVA AND THE POWER FACTOR SKETCH PHASOR DIAGRAM WHEN MOTOR IS HALF LOAD AND FULL LOADA 415V, 3-phase a.c. the motor has a power output of 12.75 kW and operates at a power factor of 0.77 lagging and with an efficiency of 85%. If the motor is delta-connected, determine the power input, the line current and the phase current.
- A balance 3-phase, 220V, abc source initially has a load which is a 3-phase induction motor rated 60 Hp, 0.85 efficiency, 0.8 p.f. lagging. If it is desired to improve the power factor of the system from 0.8 to 0.95 pf lagging by adding a 3-phase synchronous motor that will operate at 0.85 pf leading. What is the KW input of the synchronous motor needed to do this?Q#4 A single phase motor operating off a 400V, 50Hz supply is developing 10KW with an efficiency of 84% and a power factor (p.f) of 0.7 lagging. Calculate; The input apparent power; The active and reactive components of the current; 3.The reactive power (in kilovars).A 60kVA, 220V, 50Hz, single phase alternator has effective armature resistance of 0.016 ohm and an armature leakage reactance of 0.07 ohm. Compute the voltage induced when the alternator is delivering at a load power factor of (a) unity; a. 225.2V b. 252.2V c. 522.2V d. 222.5V