generalized Thevenin?

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




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