A three phase,Y connected, 215 V (line to line), 7.5 kW, 60 Hz, three pole IM has the following parameter values in Ohm/phase referred to the statorR₁ = 0.294 Ohm, R₂ = 0.144 Ohm, X₁ = 0.203 Ohm, X₂ = 0.409 Ohm, Xm = 10.25 Ohm.The total friction,windage and core losses may be assumed to be constant at 350 W independent of load. For a slip s = 0.02, compute the followingsa) Stator Currentb) Power Factor(pf)c) Rotor Speedd) Power Output(Shaft)e) Output(Shaft) Torquef) Efficiency(n) O a. I₁ = 11.2135 - 12.2771i A, pf = 0.844373 nr = 2352 rpm, Pshaft = 5209.49 W, Tshaft = 21.1509 N. m, n = 0.793822O b. I₁ = 12.2135 – 12.2771i A, pf = 0.744373, n, = 2312 rpm, Pshaft = 5209.49 W, Tshaft = 21.1509 N.m, n = 0.86282○ c. I₁ = 16.2135 – 12.2771i A, pf = 0.844373, nr = 2250 rpm, Pshaft = 5009.79 W, Tshaft = 22.1509 N.m, n = 0.86282O d. I₁ = 16.2135 – 12.2771i A, pf = 0.844373, n, = 2352 rpm, Pshaft = 5209.49 W, Tshaft = 21.1509 N.m, n = 0.86282O e. I₁ = 11.152 – 12.5986i A, pf = 0.4828, n, = 1046 rpm, Pshaft = 3040.68 W, Tshaft = 21.0056 N.m, n = 0.793137 oV(1)4,(1)R₁X₁i,, (1)i₂ (1)Z₁i. (1)Fig. Equivalent Circuit of IMX mX₂R₁

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Answered: A three phase,Y connected, 215 V (line…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A three phase,Y connected, 215 V (line to line), 7.5 kW, 60 Hz, three pole IM has the following parameter values in Ohm/phase referred to the stator
R₁ = 0.294 Ohm, R₂ = 0.144 Ohm, X₁ = 0.203 Ohm, X₂ = 0.409 Ohm, Xm = 10.25 Ohm.
The total friction,windage and core losses may be assumed to be constant at 350 W independent of load. For a slip s = 0.02, compute the followings
a) Stator Current
b) Power Factor(pf)
c) Rotor Speed
d) Power Output(Shaft)
e) Output(Shaft) Torque
f) Efficiency(n)

O a. I₁ = 11.2135 - 12.2771i A, pf = 0.844373 nr = 2352 rpm, Pshaft = 5209.49 W, Tshaft = 21.1509 N. m, n = 0.79382
2
O b. I₁ = 12.2135 – 12.2771i A, pf = 0.744373, n, = 2312 rpm, Pshaft = 5209.49 W, Tshaft = 21.1509 N.m, n = 0.86282
○ c. I₁ = 16.2135 – 12.2771i A, pf = 0.844373, nr = 2250 rpm, Pshaft = 5009.79 W, Tshaft = 22.1509 N.m, n = 0.86282
O d. I₁ = 16.2135 – 12.2771i A, pf = 0.844373, n, = 2352 rpm, Pshaft = 5209.49 W, Tshaft = 21.1509 N.m, n = 0.86282
O e. I₁ = 11.152 – 12.5986i A, pf = 0.4828, n, = 1046 rpm, Pshaft = 3040.68 W, Tshaft = 21.0056 N.m, n = 0.793137

o
V(1)
4,(1)
R₁
X₁
i,, (1)
i₂ (1)
Z₁
i. (1)
Fig. Equivalent Circuit of IM
X m
X₂
R₁

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