Re: generalized Thevenin?
- From: John Larkin <jjlarkin@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Thu, 19 Jul 2007 07:03:43 -0700
On Wed, 18 Jul 2007 21:08:02 -0500, "Jon Slaughter"
<Jon_Slaughter@xxxxxxxxxxx> wrote:
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
For a linear 2-terminal circuit, what you're looking for is the
Laplace transform of the impedance. This can express any impedance as
an algebraic equation using "s"
http://en.wikipedia.org/wiki/Laplace_transform#s-Domain_equivalent_circuits_and_impedances
John
.
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