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Simulink presenting a convergence error

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Lucas duboc
Lucas duboc el 10 de Abr. de 2024 a las 16:13
Comentada: Lucas duboc el 11 de Abr. de 2024 a las 0:13
I made a simple simulaltion of a x=Asen(wt) function in simulink using differential equations, but instead of a constant senoidal curve, it is converging to zero, although its very slow (w needs to be high or simulation time needs to be very long), here is the simulink code, and the scope output, the only custom things to simulink is a fixed simulation step of 0.01.
Original function is A*sin(wt), with A=2 and w = 60 modeled as a differential equation of x''(t) = -w² *x(t), x'(0) = Aw and x(0) = 0
I think the problem is a rounding error since it is very slow, but I don't know how to fix it

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Paul
Paul el 10 de Abr. de 2024 a las 21:51
Setting the fixed-step solver to ode8 seems to work pretty well for the problem shown in the question with a fixed step of 0.01. Don't know how well ode8 will work for other choices of w and step size, but I suspect it will be better than any of the others for this particular system.
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Lucas duboc
Lucas duboc el 11 de Abr. de 2024 a las 0:13
thank you, worked fine now, but got a little choppy with a 0.01 step, but the 0.001 step works just as well

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