Reputation: 3
Let's say I want to model this equation (electrical motor, 6 phases):
Vs = Rs*Is + d/dt*(Ls*Is)
where all variables are matrix, so:
Vs = [va1 vb1 vc1 va2 vb2 vc2]' (column vector)
Is = [ia1 ib1 ic1 ia2 ib2 ic2]' (column vector)
Ls and Rs are 6x6 matrix (constants)
From my point of view the Vs is the input vector and Is is the output vector so I need to rearrange the equation.
I have seen that is not possible in Simulink to feed the Transfer Fcn block with matrix, at least not for a multiple input multiple output system.
Is there a way to realize this on Simulink still using the matrix Ls and Rs without "unpacking" the equation?
Thank you
Upvotes: 0
Views: 1090
Reputation: 1737
You can use the product block with matrices inside Matlab so there should be no problem. It's also possible to use integrator/derivative block (though it's better to avoid using derivative if possible) with a vector input so if you can put your equation with Is as an output there should be no problem. You can put 2 multiply blocks with your matrices as inputs and the vector you need and you will get a vector for the output like you want.
Upvotes: 0
Reputation: 13876
I would re-arrange your equations in state-space form and use the State-Space block, which is better suited for matrix equations.
Another option is to use basic Simulink blocks, such as Integrator and Gain blocks, with vectorized inputs. I am not 100% sure this will work, but reasonably confident.
Upvotes: 0