How can I simulate Inertia in Simulink?

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Igor Batoukhtine
Igor Batoukhtine 2016-4-8
评论： Paul 2020-11-27
Hello,
I got the following images:
Here I try to simulate the inertia of my system and translate it to rpm. The result is as follows:
I don't get why my rpm doesn't follow my torque line.. The initial value for my integrator is zero (speed at t(0) = 0). Could someone help me with this
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Babatunde Tolu Ogungbe
Babatunde Tolu Ogungbe 2020-11-26
Following the above makes me believe i am in the right place.
Please i need help to Simulate Inertia of a biogas plant. the biogas plant consist of (Anaerobic digestion,Microturbine with PMSG). I would be glad if i could get help.
Paul
Paul 2020-11-27
Is the conversion from omega to rps correct?
Should it be 1/(2*pi)?

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Sebastian Castro
Sebastian Castro 2016-4-8
编辑：Sebastian Castro 2016-4-8
Your model and response seem fine to me. Dividing the input torque by the moment of inertia is correct.
The acceleration you're providing is always a positive value ranging from 1250 to 1700 N*m, so your speed should keep increasing with a slightly varying positive slope.
In reality, there would be other subtractive terms before the inertia division corresponding to stiffness, damping, friction, etc. Maybe this is what's missing from your model that you would expect to see?
- Sebastian
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Sebastian Castro
Sebastian Castro 2016-4-9
Well, a pump usually will have some sort of friction that depends on the speed of the pump. Generally, the faster the speed, the higher the friction force.
The simplest friction model would be viscous friction, or a damper:
Torque = - C * velocity
Where C is a damping coefficient. Try adding that to your model?
- Sebastian
Igor Batoukhtine
Igor Batoukhtine 2016-4-9
编辑：Igor Batoukhtine 2016-4-10
Dear Sebastian,
So the behaviour of the pump would be something like this:
Ia = Tpump - Tdamping - Tfriction - T...?
How can I define the coëfficient C? My total system looks like this:

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