The friction and windage loss are 105 W. Determine the followings related to the motor at its rated slip of 2.5 %. 5) Excitation Circuit (I„) -) Power developed by motor(Pa) =) Shaft Power(Paha ft) =) Shaft Torque (Thaft) =) Efficiency(7) O a. I = 0.63553 < –80.1546° A, Pa = 2909.43 W, Pahaft %3D

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X,
X,
R,
R.
X„, E,(0)
R -
R.
Fig. Equivalent Circuit of IM
Consider the above equivalent circuit of IM. A eight pole , 215 volt (line to line), 50 Hz, Y connected, three phase IM has the following parameters on
a per phase basis :
R = 0.175 N, R2 = 0.45 N, X, = 0.325 N, X, = 0.725 , Xm = 25 N, R. = 125 N.
%3D
%3D
%3|
The friction and windage loss are 105 W.
Determine the followings related to the motor at its rated slip of 2.5 %.
a) Excitation Circuit (I,)
b) Power developed by motor(Pa)
c) Shaft Power(Psha ft)
d) Shaft Torque (Tahaft)
e) Efficiency(7)
O a. Ig = 0.63553 < -80.1546° A, Pa= 2909.43 W, Pahaft = 2779.43 W, Tahaft
15.2014 W, 7 =
0.823173
O b. Ip = 1.53756 < –30.8176° A, Pa = 1909.43 W, Pshaft = 1779.43 W, Tahaft
12.1314 W, η-
0.758235
nQ c. Ip = 2.25759 < –60.4516° A, Pa = 2909.43 W, Pahaft = 2779.43 W, Tshaft
= 15.2014 W, 7=
0.853285
%3D
O d. I = 4.94044 < – 79.43° A, Pa= 2379.73 W, Pahaft = 2274.73 W, Tghaft = 29.7053 W, 7=
0.801655
O e. Ig = 4.94044 < –79.43° A, Pa = 2793.37 W, Pshaft = 2734.27 W, Tshaft = 25.7053 W, 7=0.821738
%3D
Transcribed Image Text:X, X, R, R. X„, E,(0) R - R. Fig. Equivalent Circuit of IM Consider the above equivalent circuit of IM. A eight pole , 215 volt (line to line), 50 Hz, Y connected, three phase IM has the following parameters on a per phase basis : R = 0.175 N, R2 = 0.45 N, X, = 0.325 N, X, = 0.725 , Xm = 25 N, R. = 125 N. %3D %3D %3| The friction and windage loss are 105 W. Determine the followings related to the motor at its rated slip of 2.5 %. a) Excitation Circuit (I,) b) Power developed by motor(Pa) c) Shaft Power(Psha ft) d) Shaft Torque (Tahaft) e) Efficiency(7) O a. Ig = 0.63553 < -80.1546° A, Pa= 2909.43 W, Pahaft = 2779.43 W, Tahaft 15.2014 W, 7 = 0.823173 O b. Ip = 1.53756 < –30.8176° A, Pa = 1909.43 W, Pshaft = 1779.43 W, Tahaft 12.1314 W, η- 0.758235 nQ c. Ip = 2.25759 < –60.4516° A, Pa = 2909.43 W, Pahaft = 2779.43 W, Tshaft = 15.2014 W, 7= 0.853285 %3D O d. I = 4.94044 < – 79.43° A, Pa= 2379.73 W, Pahaft = 2274.73 W, Tghaft = 29.7053 W, 7= 0.801655 O e. Ig = 4.94044 < –79.43° A, Pa = 2793.37 W, Pshaft = 2734.27 W, Tshaft = 25.7053 W, 7=0.821738 %3D
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