


(b) A Y-connected induction motor. The equivalent circuit parameters are R X, X, M PF&W P....
(b) A 460-V 60-Hz four-pole Y-connected induction motor is ratedat \(25 \mathrm{hp}\). The equivalent circuit parameters are$$ \begin{array}{ll} R_{1}=0.15 \Omega & R_{2}=0.154 \Omega \quad X_{M}=20 \Omega \\ X_{1}=0.852 \Omega & X_{2}=1.066 \Omega \\ P_{\mathrm{F} \& \mathrm{~W}}=400 \mathrm{~W} & P_{\text {misc }}=150 \mathrm{~W} \end{array} $$\(P_{\text {core }}=400 \mathrm{~W}\) (lumped with rotational losses)[14 points]For a slip of \(0.02\), find(1) The line current \(I_{L}\). [3 points](2) The stator power factor. [1 point](3) The rotor power factor. [1 point](4) The rotor frequency. [1 point](5)...
2. A 208V, two pole, 60 Hz, y connected wound rotor induction motor is rated at 15hp. Its equivalent circuit parameters are R:-0.200, R:-0.120, X.-X-0.410, X-150. The rotational losses are 430W. The motor drives a mechanical load with a slip of 5 percent. By using simplified equivalent circuit calculate; (30 pts) a) The motor speed in revolutions per minute and radians per second. b) The line current c) The stator copper losses. d) The air gap power. e) The power...
5. A 208-V four-pole 60-Hz Y-connected wound-rotor induction motor is rated at 30 hp. Its equivalent circuit components are R=0.100 Ry=0.070. X - 10.00 R = 250 X; -0.2100 X=0.21002 Praw=500 W P =0.5% of input at full load For a slip of 0.05, find (a) The line current (b) The induced voltage in the rotor (c) The stator power factor (d) The rotor power factor (e) The rotor frequency (f) The stator copper losses (g) The core loss (h)...
Problem 2. (25 points) For a 120-V, 1/3 hp, four pole, 1-phase induction motor, the parameters of the equivalent circuit, are R,-1.8(2, R,-2.5Ω, X,-X,-2.462, and Xm-60 Ω. At a slip of 500, the motor's rotational losses are 51W. The rotational losses maybe assumed constant over the normal operating range of the motor. If the slip is 0.05, calculate a. Input Power b. Air Gap Power, c. Induced Torque Tin d. Output power e. Load torque. f. Overall Motor efficiency g....
. A 460-V 460-V, 25-hp, 60-Hz, six-pole, Y-connected induction motor has the following impedanc ohms per phase referred to the stator circuit. Ri= 0.212 R2 = 0.282 X1 = 1.055 12 X2 = 1.055 22 XM = 33.9 W The total rotational losses are 1100 W and are assumed to be constant. The core loss is lumped with the rotational losses. For a rotor slip of 4% at the rated voltage and rated frequency, a) The input power b) Peony...
4. A 3-phase, 340 V, Induction motor is supplied with
60 A at .85 pf lagging. Its stator and rotor copper
losses are 4000 W and 800 W respectively, while its core losses are
2000 W, and its Friction, Windage
and Stray losses are a combined 750 W. Determine:
a. Draw a diagram depicting the energy flow in the motor (Similar
to the one we had drawn in class)
b The air gap power
c. The mechanical power developed
d....
A 480 V three-phase synchronized motor (line to line), 60 Hz, 6 poles, connected in Y. The equivalent circuit parameters are R1 = 0.15 W R2 = 0.154 W XM = 20 W X1 = 0.852 W X2 = 1.066 W PFW = 400 W PMISC = 150 W PCORE = 400 W For a slip of 0.02, find (1) Line current. [3 points] (2) The power factor of the stator. [1 point] (3) The power factor of the rotor....
A four-pole Y-connected, 415 V, 50 Hz, induction motor has phase equivalent circuit parameters of R1= 2 ohms. R2=2.2 ohms. X1=X2=4 ohms. X(motor)=90 ohms Under rated condition, the rotor slip is 6%. (i) What is the rotor speed and rotor electrical frequency under the rated conditions; (ii) Calculate the stator input current, power factor, and electromagnetic torque under these conditions; (iii) The machine is running at rated conditions and it is to be stopped by switching the two stator leads....
Problem # 3: Induction Motor Analysis [30 points] The parameters of the per phase equivalent circuit of a three phase wye-connected, 220 V (line- line, rms) 10 hp, 60 Hz, six-pole induction motor are given as: Ri = 0.3 Ohm, R2-0.15 Ohm, Xi-0.5 Ohms, X2= 0.2 Ohm, Xm-15.0 The total friction, windage and core losses add up to be a constant of 400 W. For a slip of 0.025 with motor operating at rated frequency and stator voltage, calculate the...
A 415-V, Y-connected, 4-pole, 50 Hz, three-phase induction motor has the following parameters on a per-phase basis, as referred to the stator: R1 = 0.25 ohms, X1 = 0.75 ohms, R2 = 0.55 ohms, X2 = 1.2 ohms, Xm = 50 ohms. The core loss is 200 W and rotational (mechanical) losses are 200 W. The machine is running at full load at a speed of 1450 r.p.m. Using the exact equivalent circuit, calculate- The total input current, The power factor, The air-gap power developed, The...