[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
differential equation
From: |
CdeMills |
Subject: |
differential equation |
Date: |
Mon, 16 May 2011 09:35:24 -0700 (PDT) |
Hello,
I'm trying to simulate an electrical circuit whose time-domain differential
equation is
V" + k1 V' +k2 V = a1 I' + a2 I
Vs(t) - Rs I = V
where V and I are the device voltage and current, respectively, and the rest
are constants. Vs is the time-varying voltage source, and Rs its internal
resistance. Starting from equilibrium, all values and their derivatives are
set to zero.
I don't see how to formulate the problem, in particular adding the source
equation into the picture.
LSODE: let's say x1 = V, x2 = I, x3 = V'; so we have
x1' = x3
x2' = ??? => I' depends on Vs'(t) ???
x3' = a1 * ??? + a2 x2 - k1 x3 - k2 x1
How to fill the "???"
DASSL: same variables
res1 = x1'-x3
res2 = ...
res3 = x3' - a1 x2' - a2 x2 - k1 x3 - k2 x1
In all cases, I need a relationship around I', and would like Vs(t) to be a
step source, in this case Vs'(t) would become infinite ???
Any hints ?
Regards
Pascal
--
View this message in context:
http://octave.1599824.n4.nabble.com/differential-equation-tp3526715p3526715.html
Sent from the Octave - General mailing list archive at Nabble.com.
- differential equation,
CdeMills <=