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- What will be the operating power factor of a 3-phase induction motor, whose ratings are 230 V, 50 Hz, 120 hp, and 4-poles? Motor is operating at rated conditions with an efficiency of 92% and draws a line current of 260 A. The core loss and stator copper losses are 1710 W and 2830 W respectively. (a) 0.85 (c) 0.93 (b) 0.90 (d) 0.80A three-phase star-connected alternator working at 1400 KVA,50 Hz, 2300 V, has an armature dc resistance of 0.15 2. Assume the ac resistance is 1.4 times the dc resistance. A field current of 75 A produces a short circuit current of 360 A and for the same field current the open circuit voltage is 1000 V. Determine a) Synchronous reactance of the machine b) Full load regulation at 0.9 leading c) Power angle a) b)Determine the efficiency of a 1500kVA, 2300 V, 3 phase, Y-connected alternator, which operatesat rated output with a power factor of 80%. The DC armature resistance at 70°C betweenterminals is 0.08 ohm. The field takes 70 A at 120 V from the exciter equipment. Friction andwindage losses are 15kW, iron loss is 35kW and stray load losses is 1.5kW. Assume the effectivearmature winding resistance is 1.5 times the DC value.
- Determine the efficiency of a 1500kVA, 2300-V, 3-phase, Wye connected alternator, which operates at a rated output, with a power factor of 80%, The DC armature resistance at 0.08-ohm. The field takes a 70-Aat 120-V from the exciter equipment. Friction and windage losses are 35-kW, iron losses is 15-kW and stray power losses is 1.2-kW. The effective armature winding resistance is 1.8 times the DC value.2) A large 3-phase, 4000 Va (phase to phase), 60 Hz squirrel-cage induction motor draws a current of 385 A/phase. The total active power at the stator input terminals is 2344 kW, when operating at full load. The corresponding speed is accurately measured and found to be 709.2 r/min. The stator is connected in wye and the resistance between two stator terminals is 0.10 Q. The total iron losses are 23.4 kW and the windage and friction losses are 12 kW. Calculate the following: c) The total 1²-R losses in the rotor d) The load mechanical power (kW), torque (kN•m), and efficiency. S = Va · V3 - I S= Vy•3·I %3D2) A large 3-phase, 4000 Va (phase to phase), 60 Hz squirrel-cage induction motor draws a current of 385 A/phase. The total active power at the stator input terminals is 2344 kW, when operating at full load. The corresponding speed is accurately measured and found to be 709.2 r/min. The stator is connected in wye and the resistance between two stator terminals is 0.10 Q. The total iron losses are 23.4 kW and the windage and friction losses are 12 kW. Calculate the following: a) The power factor at full load b) The active power supplied to the rotor c) The total 1²-R losses in the rotor d) The load mechanical power (kW), torque (kN•m), and efficiency. S = Va· V3 - I S- Vy·3•I
- 2) A large 3-phase, 4000 Va (phase to phase), 60 Hz squirrel-cage induction motor draws a current of 385 A/phase. The total active power at the stator input terminals is 2344 kW, when operating at full load. The corresponding speed is accurately measured and found to be 709.2 r/min. The stator is connected in wye and the resistance between two stator terminals is 0.10 Q. The total iron losses are 23.4 kW and the windage and friction losses are 12 kW. Calculate the following: a) The power factor at full load b) The active power supplied to the rotor c) The total 12.R losses in the rotor d) The load mechanical power (kW), torque (kN-m), and efficiency. S = Va• V3- I S= Vy 3•I %3DA three-phase star-connected alternator working at 1800 KVA,50 Hz,2100 V, has an armature dc resistance of 0.15 Q. Assume the ac resistance is 1.5 times the dc resistance. A field current of 65 A produces a short circuit current of 37O A and for the same field current the open circuit voltage is 1000 V. Determine a} Synchronous reactance of the machine b) Full load regulation at 0.7 leading c) Power angle a) b) c)Please show a complete solution to the problem A three-phase,50-Hz, 480-V system supplies the following loads: A six-pole, 50-Hz, 390-hp, three-phase, wye-connected induction motor, operating at 77 percent of the rated load with an efficiency of 95.1 percent and a power factor of 88.3 percent. 2. A 40-kW, delta-connected, three-phase resistance heater. 3. A 360-hp, 50-Hz, four-pole, wye-connected, cylindrical-rotor synchronous motor, operating at 48 percent of the rated load, with a torque angle of -17.7º. Neglecting copper losses, the synchronous motor is operating at 92.0 percent efficiency, and its synchronous reactance is 0.748 Ohm/phase. Determine the active power of the system in watts. Give your final answer in 2 decimal places. Correct Answer: 415,684.82 ± 0.01
- A three-phase, star-connected, 10 kVA, 230 V alternator has an armature resistance of 0.5 Q per phase and a synchronous reactance of 1.2 Q per phase. Calculate the percent voltage regulation at full load and power factors of: (a) 0.8 lagging, (b) 0.8 leading,4. Determine the voltage regulation of a 2,000-V, 1-phase alternator giving a current of 100 A at 0.8 p.f. leading from the test results. Full-load current of 100 A is produced on short-circuit by a field excitation of 2.5 A. An e.m.f. of 500 V is produced on open-circuit by the same excitation. The armature resistance is 0.8 Q. Draw the vector diagram. |- 8,9%]A three-phase star-connected alternator working at 1400 KVA,50 Hz,2200 V, has an armature dc resistance of 0.18 Ω. Assume the ac resistance is 1.3 times the dc resistance. A field current of 65 A produces a short circuit current of 360 A and for the same field current the open circuit voltage is 1200 V. Determinea} Synchronous reactance of the machineb) Full load regulation at 0.9 laggingc) Power angle