Op-amp circuit analysis using a transfer function

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Discussion Overview

The discussion revolves around the analysis of an op-amp circuit using transfer functions, specifically focusing on the correction transfer function Wk(s) and its impact on the overall circuit behavior. Participants are engaged in a homework problem that involves calculating and simulating transfer functions, examining Bode plots, and addressing discrepancies in expected versus actual circuit responses.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents transfer functions W(s) and Wk(s) and seeks guidance on their calculations and simulation.
  • Another participant suggests canceling an identical pole and zero at s = -10 and questions the high-frequency gain of a specific transfer function.
  • A participant expresses confusion regarding the correction transfer function Wk(s) and notes unexpected gain in the Bode plot after a certain corner frequency.
  • One participant asserts that the implementation is correct based on their calculations and checks the time constants and gains.
  • Another participant emphasizes the need to eliminate one pole and one zero to achieve the desired frequency response.
  • A later reply indicates that the task has been completed, implying resolution of the initial confusion.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the transfer functions and the implications of the Bode plots. There is no clear consensus on the exact nature of the issues with Wk(s) or the expected outcomes, indicating ongoing debate and uncertainty.

Contextual Notes

Participants reference specific corner frequencies and gains, but the discussion does not resolve the underlying assumptions or definitions related to the transfer functions. The calculations and simulations presented may depend on interpretations that are not fully clarified.

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Homework Statement


I have got transfer functions W(s) and Wk(s), where Wk(s) is correction transfer function.
mze1n52gh4shducqu6ss.png

So I calculate W(s) and Wk(s) in series.
Magnitude graph before correction:
325tqtj68jjtfve4xax4.png

Magnitude graph after correction:
w0u4vt6j0l6dx7gy0zb.png


The task is to make whole circuit and simulate it.

Homework Equations



The Attempt at a Solution


First of all, I tried to make it by parts:
xhzrr15rampgus2k6yn.png

e9n83phl8ipa03rslcp.png

d8kevj1wadhpmwwf5b8.png


What about 70/s?
And am I on the right way with otherones?
 
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first, you should cancel the identical pole & zero at s = -10.
then, the second ckt is incorrect. what is the high freq. gain of (0.01s+1)/(0.017s+1)? What components determine the high-freq. gain?
finally, suppose you have an inverter with gain = -Zf/Zi. Equate Zf/Zi to k/s to find your Zi and Zf components.
.
 
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It seems to me, I had a missunderstanding about the task. And there is mistake in the correction TF Wk(s), I guess.
I simulated W(s) - red colour, Wk(s) -green colour, W(s)*Wk(s) - blue colour.
Bode plot:

http://www.bildites.lv/images/5ltl503z567e84sgk3pk.png

The problem is gain of Wk(s) TF. After corner frequency W1, I expect the graphic like it is standart W(s) (red), but it isn't, because there is unexpected gain in Wk(s).

Here are calculations, how I get Wk(s) and simulation:
3iecivaigdiobzfrpbfp.png


And the problem is not because 1/60 = 0.0166666.. = ~ 0.017
There's something wrong with gain. What can be reason for wrong result?
 
I see nothing wrong with this. If Wk(s) = what you say, then your implementation is correct. The low freq. gain is 1.0, the high freq. gain is 1.47 and the time constants all check out.

What about your pole at the origin?
 
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I calculated Wk(s) by myself, it wasn't given.
I have got standart W(s) and I have to implement Wk(s) to get graphic like this (red is correction):
ifvdxt4h1auq0tf5kz13.png

on5jgaoq27ucoh6ewnju.png


But in the bode plot (in my previous post), after last corner frequency the new graphic isn't like the standart W(s), because there is this small gain. Maybe I don't understand something about it, but it suggests that there's mistake in my Wk(s) TF, because the high frequency gain is 1.47, but I want the gain to be 1.0 to get the same graphic after that corner frequency. What could be wrong there with Wk(s) in this case?

Corner frequencies: 1, 4, 10 60 rad/s were suggested by teacher.
 
Well, you're confusing me a lot.

OK, if you want to correct per your latest frequency response (the bottom graph), you need to eliminate one pole and one zero. So figure out what your W_k(s) should be to cancel those. Your Bode plot (red) tells you what to do.
 
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Thanks for the hint. Task already done.
 

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