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posted by  Pooley on 7/10/2008 2:18:13 PM  |  status: Live  

Electronic Analog Controller

Course Textbook Chapter Problem
N/A Introduction to Control System Technology - 7th Ed - by Robert N. Bateson (Prentice Hall 2002) 13 13.3
Question Details:
 
Please note on diagram- where it says Ri it should read as R1
Time-domain equation : v = Pe + v0
Transfer function = = P
P =
Ro = Rf
 
Question pertains to the above diagram.
Question-
An analog proportional mode controller (shown above) uses a value of 100 kΩ for Rf. Determine the value of R1 for each of the following controller gains:
(a) P = 0.25
(b) P = 1.75
(c) P = 8.6
Here's is my solution:
P = Rf / R1
so R1 = Rf /P
(a) R1 = 100000/0.25 = 400000kΩ
(b) R1 = 100000/1.75 = 57.142kΩ
(c) R1 = 100000/8.6 = 11.627kΩ
 

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posted by shann(EE-SME) on 7/11/2008 3:57:27 AM  |  status: Live
Asker's Rating: Lifesaver   
Pooley's comment:
"Thanks!"
Response Details:
Given circuit can be redrawn as below:
 
         
 
Due to virtual short circuit between inverting and non-inverting terminal, the voltage at inverting terminal is equal to 0V.
By applying KCL at inverting terminal we can get
............ (1)
Given that  and
Now equation (1) become
....................... (2)
If input  to the circuit then equation (2) becomes
................... (3)
(a) P = 0.25
(b) P = 1.75
(c) P = 8.6
(a)
Given  and
(b)
Given  and
(c) 
Given  and
 
I hope this helps you....................
 
 
 
 
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