Question
Asked Nov 1, 2019
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(s)/V(s)
Derive the transfer function,
armature resistance (Rm), inductance (Lm), motor torque constant (K), motor back-emf constant (Km) and viscous damping (B)
, for the DC motor system shown in the figure below in which the there is a an
1.
m
m
m
T = K, i
4(f)
es() = K,
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(s)/V(s) Derive the transfer function, armature resistance (Rm), inductance (Lm), motor torque constant (K), motor back-emf constant (Km) and viscous damping (B) , for the DC motor system shown in the figure below in which the there is a an 1. m m m T = K, i 4(f) es() = K,

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Expert Answer

Step 1

Equation of Electrical circuit :

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Applying KVL in the electrical circuit, we get di e()RiL dt di or,(t-K Rj+L dt Taking Laplace on both sides, we get: V(s) Ks)R()+LI(s) V(s)-K)RLI(s) -- Eqi

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Step 2

Now, the other equations:

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Step 3

Further:...

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From Eq2 and Eq3, we get : KI(s) Js2(s)+BQ(s) В -2s) K Js -2(s) I(s) or K В (s) K, Js I(s)= or Putting the value of I(s) in Eql. we get B Js V(s)-K)R +L = K В Js 2(s) V(s) = or В K K Js V(s) or 2(s) 1 O(s) V(s) or В K Js LS K [R

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