SIMULINK - Solving Differential Equations

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JOKY JOKE
JOKY JOKE 2011-10-18
Hi,
1. is it possible to solve an IMPLICIT ordinary differential equation ODE in SIMULINK. If yes, do you have an implemented example? Which solvers can be used? If it is possible, is it normal that a message appears saying that an algebraic loop exists? Am I right, that an explicit/implicit solver has nothing to do with an explicit/implicit ODE?
2. is it possible to solve a DAE system in SIMULINK?
Thank you
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JOKY JOKE
JOKY JOKE 2011-10-19
F(x1, x2, x3, .... xn, y, y') = 0
with x being defined by functions, which partly are also not explicit, for example:
x1 = f(x2, xn)
0 = F(x2, x4, xn)
x3 = f(x2, xn)
...

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回答（2 个）

Walter Roberson
Walter Roberson 2011-10-19
I do not know about Simulink directly; you could call a MATLAB function if you needed to. See
<http://www.mathworks.com/support/solutions/en/data/1-15S5M/index.html?product=ML&solution=1-15S5M>
  1 个评论
JOKY JOKE
JOKY JOKE 2011-10-19
Yes, there should be a way in MATLAB. However, I have to implement it in SIMULINK directly. So MATLAB probably won't help.

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Fangjun Jiang
Fangjun Jiang 2011-10-19
Since you didn't provide an explicit example, it's hard to say. Maybe this post will give you a little bit of ideas.
http://www.mathworks.com/matlabcentral/answers/18742-how-to-solve-ode-with-simulink
The point is, find all the x', x'', y, y'' etc. in the equation, feed it to an Integrator block, the output will become x, x', y, y' respectively. Use other blocks such as Sum, Product, Gain, Constant to construct the equation. Set up proper initial values for those Integrator blocks. Then you can run simulations to see the dynamic response of every signal.
The solution is only to be numerical.

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