Simscape custom component to have one parameters unit change depending on the input of another parameter

Hi all,

I am creating a custom simscape block and it all works fine, except the units. The equation is Torq = D1*w + D2*w^PE and the parametres I declare are D1, D2 and PE (w is the rotational velocity). Therefore you can see that if I delcare PE to be 2.5 for example, then this implies that the units of D2 will have to change accordingly to make D2*w^PE be equal to N*m (Newton meters).

I tried implementing the change in units by using a typical sprintf function, however as Simscape laguage appears to be its own thing, it doesn' seem to be working... So do you have any ideas on that?

Here is the code for the component:

component propeller_law
% The equation is Torq = D1*w + D2*w^PE, where:
    nodes
        r = foundation.mechanical.rotational.rotational; % R
        c = foundation.mechanical.rotational.rotational; % C:right
    end
 
    parameters
        PE = 2.5 ;                                         % Exponent
        D1 = { 0.001, '(N*m)*s/rad'};                    % Linear Damping Coefficient
        D2 = { 0.001, sprintf('(N*m)*(s/rad)^%f',PE)};   % Non-Linear Coefficient
    end
    
    variables
        w = { value = {0, 'rad/s'}, priority = priority.high };  % Angular Velocity
        theta = { 0, 'rad' };                                    % Angular Displacement
        t = { 0, 'N*m' };                                        % Torque
    end
    
    branches
        t : r.t -> c.t;                  % torque through from node r to node c
    end
    
    equations
        assert(D1>=0 && D2>=0)           % Damping coefficients must be positive
        w == r.w - c.w;
        t == D1*w + D2*w^PE ;
        w == theta.der
    end
 
end

Kind Regards,

KMT.