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2) A 480 V, 60 Hz, 400 hp 0.8 PF-lagging eight-pole A-connected synchronous motor has a synchronous reactance of 0.6 and negligible armature resistance. Ignore the mechanical and core losses. The magnitude of the internal machine voltage is 480 V when the field current is 4 A. Assume magnetic linearity. Initially, the motor operates at the rated conditions. a) Find the speed of this motor. b) Find the armature and field currents. c) What is the developed torque? What is...
Problem 1. (25 points) A 200-hp 440-V 0.8-PF-leading љс0nnected synchronous motor has an armature resistance of 0.6 Ω and a synchronous reactance of 8.0 Ω. Its efficiency at full load is 90 percent. 1. What is the input power to the motor at rated conditions? 2. What is the line current of the motor at rated conditions? What is the phase current of the motor at rated conditions? 3. What is the reactive power consumed by or supplied by the...
Q3) A 400-V, 3-phase, 50-HZ, 4-pole Y-connected synchronous machine is operated as a motor and draws 27A at 0.77 PF leading. The motor armature resistance is 0.50/Phase and synchronous reactance is j12Ω /phase. The rotational loss is 200 watts. The field winding has a resistance of 0.4Ω and is supplied by 50V DC sources. Determine the following: a) Real and reactive power drawn by the motor b) The power developed c) The torque angle d) The shaft torque e) Efficiency...
A 2300 V (terminal voltage), 1000 kVA, 0.8 PF lagging, 60-Hz, two pole, Y connected synchronous generator has a synchronous reactance of 1.1 2 and an armature resistance of 0.15 Ω. At 60Hz, its friction and windage losses are 24 kW, and its core losses are 18 kW The field circuit has a dc voltage of 200 V, and the maximum If Ir is 10 A. The resistance of the field circuit is adjustable over the range from 20 to...
A 3-phase, star-connected synchronous motor takes current of 116 A at 0.80 lagging pf with 500 V applied. At this current, the total armature copper loss is 1,200 W. The synchronous reactance per phase of the motor is 0.30 ohm. Calculate (a) the gross mechanical power developed and (b) the core and friction losses if the full-load efficiency is 95%.
A 480-V, 60-Hz, A-connected, four-pole synchronous generator has a synchronous reactance of 0.1 ohm and an armature resistance of 0.0 15 ohm. At full load, the machine supplies 1200 A at 0.8 PF lagging. Under full-load conditions, the friction and windage losses are 40 kW, and the core losses are 30 kW. Ignore any field circuit losses c) How much power is the generator now supplying? How much power is supplied to the generator by the prime mover? What is...
A 480-V, 50-Hz, Y-connected, 6-pole synchronous generator has a synchronous reactance of 1 Ohm. Its full load armature current is 60 A at 0.8 pf lagging. Under full load conditions, the friction and windage losses are 1.5 kW, and core losses are 1 kW at 50 Hz. Ignore armature copper losses. The field has been adjusted so that the terminal voltage is 480 V at no load. a.What is the speed of rotation of this gen? b.What is the generator...
A 100-MVA 12.5-KV 0.85-PF lagging 50-Hz two-pole Y-connected synchronous generator has a synchronous reactance of 1.7 Q and a negligible armature resistance. I) What is the magnitude of the internal generated voltage at rated conditions? 2) What is its torque angle at these conditions? 3) What is its voltage regulation? 4) Ignoring the losses in this generator, what torque must be applied to its shaft by the prime mover at full load? 5) What is the maximum power the generator...
Problem 3) [15 marks] A 200-V, 100-hp, 0.6 PF leading, Y-connected, 50 Hz synchronous motor has a synchronous reactance of2.0 Ω and negligible resistance. Its mechanical losses and core losses are 1 .0 Kw and 0.5 KW, respectively. The shaft is supplying a 20-hp load at 0.6 PF leading. a) Sketch the phasor diagram of the machine and find the values of IA, I, and EA. b) The load is now increased to 40 hp. Repeat part (a) and find...
A 4-pole, 60Hz, three-phase synchronous motor with a synchronous reactance of 0.5 Ω is working at half load with torque of 20 N-m. Assume ?? = 120∠00 ? (phase voltage). When working at the full load, the equivalent field voltage is Ef = 100 V (phase voltage). a) Draw the per-phase equivalent circuit and label the parameters (5 Points) b) Determine the power consumed by the half load (5 Points) c) Calculate the armature current and active power consumed, at full...