How do I solve a matrix of ODE equations?

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David Cole
David Cole 2025-2-25
移动：Torsten 2025-2-25
I have developed some Simulink code that displays the primary and secondary (referred to the primary) current on a scope. The results are as expected.
I used Faraday's Law and Flux Linkage equations to determine the equations and block flows.
Instead of using the block flow method shown above, I would like to solve this problem using the matrix of ODE equations shown below. How would I utilize this matrix below to simulantenously solve my two differential equations. Utilimately, I will have six equations. If I can solve just the two equations first I can match the answer with the code above to ensure I get the correct answer. The dash above the variables in the second row means referred, it does not mean derivative.

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回答（1 个）

Torsten
Torsten 2025-2-25
移动：Torsten 2025-2-25
Your system reads
M*dz/dt + F*z = R
or
dz/dt = inv(M)*(R-F*z)
It should be easy to solve using "ode45", e.g.

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