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Download Homework 4 ECE 207 – Electrical Engineering Due: 9/27/2012 A
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Homework 4 ECE 207 – Electrical Engineering Due: 9/27/2012 1. A three-phase, 10 hp, 208 V, 50 Hz, 4 pole, Y-connected induction motor delivers rated output power at a slip of 2%. Determine: a. Synchronous speed b. Rotor speed c. Synchronous speed and rotor speed, if the motor had 2 poles 2. A three-phase, 25 hp, 230 V, 60 Hz induction motor draws 60 A from the source at 0.866 lagging power factor. The motor losses are: Stator copper loss, Pcu1 = 850 W Magnetic core loss, Pcore = 450 W Rotor copper loss, Pcu2 = 1050 W Rotational loss, Prot = 500 W Find: a. b. c. d. e. Air gap power, Pag Slip, s Mechanical power developed, Pdev Output power, Pout Efficiency of the motor, η 3. A three-phase, 50 hp, 460 V, 60 Hz, 4 pole, induction motor has the following data: R1 = 0.1 Ω X1 = 0.35 Ω R2 = 0.125 Ω X2 = 0.40 Ω Rc = 1200 Ω Xm = 100 Ω This motor operates at a slip of 2.5%. Ignoring windage losses, calculate: a. b. c. d. e. f. Line current, I1 Input power, Pin Input power factor, pf Efficiency, η Starting current, Istart Starting power factor, pfstart 4. A three-phase, 5 hp, 208 V, 4 pole, 60 Hz induction motor is subjected to no-load, blockedrotor, and DC tests. The following data was collected from these tests: Variable Voltage (V) Current (A) Power (W) No-Load Test 208 4 250 Blocked-Rotor Test 35 12 450 DC Test 20 25 Find: a. Parameters of the equivalent circuit b. Draw the equivalent circuit with parameter values specified on it 5. For the motor of Problem 4, it is desirable to improve the power factor to 0.98 lagging. If the slip is 5% and terminal voltage is 208 V, then calculate: a. Reactive power of the capacitor/phase for power factor correction b. Capacitance of the Y-connected capacitor/phase for power factor correction