I want to solve the attached equation for "T".

Please Help....

[Walter Roberson]

I would have to put it through a symbolic program to be sure, but I think you are not going to be able to come up with a closed form solution for that and will need to solve it numerically.

[NSB]

Ok Thanks...Which numerical strategy should I use? Can I solve that in simulink?

[Walter Roberson]

Note: in symbolic form the expression is

 (1/2) * (((C__r * (V__0^2 - 4*V__in^2) + 4 * V__0 * I__0 * T__s) / L__r)^(1/2) - (C__r * (V__0^2 - 4 * V__in^2) / L__r)^(1/2)) * L__r / V__in + (arcsin(2 * V__in / (V__0^2 + 4 * V__0 * I__0 * T__s / C__r)^(1/2)) + arcsin(V__0 / (V__0^2 + 4 * V__0 * I__0 * T__s / C__r)^(1/2))) / omega__r + 2 * (T__s * I__0 * L__r / V__0)^(1/2) + arccos(2 * V__in / V__0) / omega__r = T__s / 2

Answer 1

[Walter Roberson]

You assign values to all of the variables except for T__s and then you assign

Tfun = @(T__s)  (1/2) * (((C__r * (V__0^2 - 4*V__in^2) + 4 * V__0 * I__0 * T__s) / L__r)^(1/2) - (C__r * (V__0^2 - 4 * V__in^2) / L__r)^(1/2)) * L__r / V__in + (arcsin(2 * V__in / (V__0^2 + 4 * V__0 * I__0 * T__s / C__r)^(1/2)) + arcsin(V__0 / (V__0^2 + 4 * V__0 * I__0 * T__s / C__r)^(1/2))) / omega__r + 2 * (T__s * I__0 * L__r / V__0)^(1/2) + arccos(2 * V__in / V__0) / omega__r - T__s / 2;

after that you can

Ts_0 = rand()*50;    %some guess about the value

Ts_value = fzero(Tfun, Ts_0);