Solve Electromechanicaly couple ODE

Hi there.

How do I solve/code the electromechanical couple ODE below ? Please help.

Thank you.

Answer 1

[SAI SRUJAN]

Hi Fajwa,

I understand that you are trying to solve the electromechanical couple ordinary differential equation (ODE).

To solve an electromechanical coupled ordinary differential equation (ODE), we need a mathematical model that represents the physical system we are dealing with. Make sure to represent the equations in a standard first-order ODE form.

As an example, here's a very basic outline of how you might solve a coupled ODE using MATLAB:

function dydt = electromechanical_odes(t, y)
    % Define the constants of the system
    % ...
    
    % Define the ODEs
    dxdt = v;
    dvdt = ...; % Define the mechanical ODE
    didt = ...; % Define the electrical ODE
    
    % Pack the derivatives into a column vector
    dydt = [dxdt; dvdt; didt];
end

% Define initial conditions
y0 = [...];

% Define the time span
tspan = [0, T]; % From time 0 to T

% Solve the ODEs
[t, y] = ode45(@electromechanical_odes, tspan, y0);

% Plot the results
plot(t, y(:,1));

For a comprehensive understanding of the 'ode45' function in MATLAB, please refer to the following documentation.

https://www.mathworks.com/help/matlab/ref/ode45.html

I hope this helps!