mec e ⑤ Rated Power, Pm = 2000 W Pinput=? Te = ? W = ? Т ? = Pmec=Tew ⑥Te = Ky. If. Ia Equation ① put and ⑤ together Pmec = (KT. IP. Ia). w Fос equation 2 Iα = V - E √(KE-IF-W) Ra Ra put and ② together Pmec = Ky · If⋅ (V-KG. If⋅ W ) Ra PMRC = KT · IP. (V-Ke-IR) Ra 2000 = (0.3) (1.875). (372.19). (0.3)·(1.875). 2000 W 0.3.1.875.377.19 w2 W 6/8 = 3.09 rad/s

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Hi, can you help me to find out why I'm not getting the right result? (see my work attached). I should get w= 123.04 rad/s as a result. In the given exercise I need to find Current Ia, speed w and Torque Te.

This is the second part of the exercise, in the first part I had to calculate If= 1.875 A, Ra= 0.2 ohms and Rf= 40 ohms. Ke and KT are the same and their value is 0.3.

I feel I have done something wrong in the equation to don't work out, can you help? As I cannot proceed to calculate Ia and Te if I don't get the right result.

mec
e
⑤ Rated Power, Pm = 2000 W
Pinput=?
Te = ?
W =
?
Т ?
=
Pmec=Tew
⑥Te = Ky. If. Ia
Equation ① put and ⑤ together
Pmec = (KT. IP. Ia). w
Fос
equation
2
Iα = V - E
√(KE-IF-W)
Ra
Ra
put and ② together
Pmec = Ky · If⋅ (V-KG. If⋅ W )
Ra
PMRC = KT · IP. (V-Ke-IR)
Ra
2000 = (0.3) (1.875). (372.19).
(0.3)·(1.875).
2000
W
0.3.1.875.377.19
w2
W
6/8
= 3.09 rad/s
Transcribed Image Text:mec e ⑤ Rated Power, Pm = 2000 W Pinput=? Te = ? W = ? Т ? = Pmec=Tew ⑥Te = Ky. If. Ia Equation ① put and ⑤ together Pmec = (KT. IP. Ia). w Fос equation 2 Iα = V - E √(KE-IF-W) Ra Ra put and ② together Pmec = Ky · If⋅ (V-KG. If⋅ W ) Ra PMRC = KT · IP. (V-Ke-IR) Ra 2000 = (0.3) (1.875). (372.19). (0.3)·(1.875). 2000 W 0.3.1.875.377.19 w2 W 6/8 = 3.09 rad/s
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