Find the transfer function, G(s) = θL (s) / Ea (s), for the motor and load shown below. The torque-speed curve is given by Tm = -8ωm + 200 when the input voltage is 100V. Select the correct option

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter9: Components For Electric Motors
Section: Chapter Questions
Problem 12RQ
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Find the transfer function, G(s) = θL (s) / Ea (s), for the motor and load shown below. The torque-speed curve is given by Tm = -8ωm + 200 when the input voltage is 100V. Select the correct option

○a. O₂ (s).
O b.
O C.
O d.
1
E₂(s)_s(s+¹5)
15/
72
O₂ (s)
E. (s) s(s+20)
a
1/
20
O₂ (s)_
E. (s) s(s+¹5/2)
○e. 0₁ (s)
E (s)
a
1/
20
O₂ (s)
E. (s) s² (s+¹5/2)
15
1
s(s+15)
Transcribed Image Text:○a. O₂ (s). O b. O C. O d. 1 E₂(s)_s(s+¹5) 15/ 72 O₂ (s) E. (s) s(s+20) a 1/ 20 O₂ (s)_ E. (s) s(s+¹5/2) ○e. 0₁ (s) E (s) a 1/ 20 O₂ (s) E. (s) s² (s+¹5/2) 15 1 s(s+15)
(1) Motor
Ja = 1 kg-m²
Da 5 N-m-s/rad
N₁ = 20
N₂ = 100
⁰T
N4 = 100
N₂ = 25
0₁ (1)
He
JL = 400 kg-m²
DL
= 800 N-m-s/rad
AAAAA
Transcribed Image Text:(1) Motor Ja = 1 kg-m² Da 5 N-m-s/rad N₁ = 20 N₂ = 100 ⁰T N4 = 100 N₂ = 25 0₁ (1) He JL = 400 kg-m² DL = 800 N-m-s/rad AAAAA
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