Re: generalized Thevenin?


"Robert" <Robert@xxxxxxxxx> wrote in message
news:CfCni.9752$zA4.6770@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

"Jon Slaughter" <Jon_Slaughter@xxxxxxxxxxx> wrote in message
news:SHzni.2490$Dx2.1132@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Is there a generalized Thevenin's theorem for arbitrary "black boxes"?


i.e., Suppose I have something like


---> I
V +---[ ]--- 0


where [] is a black box.

I should be able to write something like

V = Z(t, V, I)*I

which sorta resembles ohms law. V and I generally depend on t.


if [ ] is a resistor then Z(t,V,I) = R and in general Z also depends on a
set of parameters.


But what about more complex black boxes?


If its a resistor and a capacitor then what?


V ---||---/\/\/\/\---- 0


Then Z(t,V,I) = ?

For passive components is Z a linear differential equation?


Any other ways to simplify such expressions?

The reason I ask is I have a circuit that has a lot of these "paths" that
are connected in some way but each path is the same configuration with
only the "constants" of the components that are different.

Thanks,
Jon

There's Middlebrook's Theorems but I don't think that's what you're asking
about.

http://en.wikipedia.org/wiki/Extra_element_theorem

Robert


Actually it looks very similar and it seems close to my problem. Essentially
I have a circuit where each "branch" looks identical(Actually its not but
uses identical topology... its almost fractal like) and I am trying to use
that symmetry to make it easier to solve. I'll have to read up on it to see
what exactly it doing though.

Thanks,
Jon


.

Relevant Pages

  • Re: generalized Thevenin?
    ... which sorta resembles ohms law. ... For passive components is Z a linear differential equation? ... Any other ways to simplify such expressions? ... The reason I ask is I have a circuit that has a lot of these "paths" that ...
    (sci.electronics.design)
  • Re: generalized Thevenin?
    ... For passive components is Z a linear differential equation? ... For a linear 2-terminal circuit, what you're looking for is the ... Laplace transform of the impedance. ...
    (sci.electronics.design)
Loading