Is my transfer function correct?

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The discussion revolves around verifying the correctness of a transfer function and identifying missing loops in a control system diagram. Participants highlight the importance of accurately accounting for loops and paths while constructing the transfer function, emphasizing the need to follow the direction of arrows in the loops. There is a debate about the significance of certain loops, with one being deemed unnecessary as it leads back to the starting point without contributing to the overall function. The conversation also touches on the application of Mason's Gain formula and the identification of non-touching loops, with corrections made to ensure proper calculations. Ultimately, the participants work through the complexities of the circuit analysis, leading to a clearer understanding of the transfer function's formulation.
  • #31
I see you're notching it up!
This is looking challenging! :)
And you have a name for the formula, Mason's gain.
That is something I can look up.

Now let's see... the sign of loop G3H3 seems wrong.

And your non-touching loops do not appear to be correct.
If I select the first 2 non-touching loops, I find G1G2H1 x G3H3.
But you have G3G4 after that??

Furthermore there are 4 combinations of 2 non-touching loops, but you have only 2 combinations...
 
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  • #32
And your non-touching loops do not appear to be correct.
If I select the first 2 non-touching loops, I find G1G2H1 x G3H3.
But you have G3G4 after that??

Furthermore there are 4 combinations of 2 non-touching loops, but you have only 2 combinations...

Ooohhhhhhh... I understand how it works. Wait :)

http://img24.imageshack.us/img24/444/songut.jpg

Plus fixing the sign of G3H3 to minus before the non-touching loops - agreed
 
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  • #33
Looking at you first combination, G1G2H1 is a loop, but G4 is not a loop.
You should use G3G4 instead.

Same thing in your 3rd term.

That's all! You have the signs correct this time round! :)
 
  • #34
I like Serena said:
Looking at you first combination, G1G2H1 is a loop, but G4 is not a loop.
You should use G3G4 instead.

Same thing in your 3rd term.

That's all! You have the signs correct this time round! :)

You're right, I got it, I was rushing because I thought I had it. Thank you! :)
 

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