The drawing below is an illustration of an electrical direct current engine that runs a far The moment that is needed to operate the fan is propotional with the rotational speed. (In a real fan it is propotional to the square of the rotational speed, but then you'll get unlinear equations). Fan Engine data: L. = 0.43mH, R =1.312, k = 58.8 ·10³ Nm/ A Nm J = 1.30 10 kg m², D =11.5-106. rad /s Nm Fan data : D, = 350-10-6. rad /s 2(s) where: 2(s) = L[@(t)] U,(s) a) Determine the transferfunction b) Find the systems' poles. /poles of the system c) What is the fan's rotational speed in rotations per minute, if: u, = 36V?

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The drawing below is an illustration of an electrical direct current engine that runs a far
The moment that is needed to operate the fan is propotional with the rotational speed.
(In a real fan it is propotional to the square of the rotational speed, but then you'll get
unlinear equations).
Fan
Us
w
Engine data:
L. = 0.43mH, R =1.312, k, = 58.8 ·10 Nm/ A
J =1.30 -10 kg m², D =11.5-10
Nm
0
rad / s
Fan data : D
Nm
= 350 -10-6
rad /s
Q(s)
vhere: 2(s)=L[@(1)]
a) Determine the transferfunction
U,(s)
b) Find the systems' poles. / poles of the system
c) What is the fan's rotational speed in rotations per minute, if: u, = 36V?
d) What value of effect does the voltage source deliver then? (Like in question b) )
Transcribed Image Text:The drawing below is an illustration of an electrical direct current engine that runs a far The moment that is needed to operate the fan is propotional with the rotational speed. (In a real fan it is propotional to the square of the rotational speed, but then you'll get unlinear equations). Fan Us w Engine data: L. = 0.43mH, R =1.312, k, = 58.8 ·10 Nm/ A J =1.30 -10 kg m², D =11.5-10 Nm 0 rad / s Fan data : D Nm = 350 -10-6 rad /s Q(s) vhere: 2(s)=L[@(1)] a) Determine the transferfunction U,(s) b) Find the systems' poles. / poles of the system c) What is the fan's rotational speed in rotations per minute, if: u, = 36V? d) What value of effect does the voltage source deliver then? (Like in question b) )
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