Simplify equations symbolic toolbox?
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I am trying to simplify the following equation such that the final equation can be written in terms of DC quantity, sinusoidal with fundamental frequency component and sinusoidal with second harmonic component. Is it possible to do so? Thanks a lot!
% code
syms I1 l Vc Vb M t w R L wt
syms phi th k % th = theta
M = 1- abs(k);
Vc = 2*Vb/(1+k);
%phi = atan2(w*L,R);
uaT = 0.5*(1 + M*cos(wt) + k);
uaB = 0.5*(1 - M*cos(wt - th) - k);
io = -M*Vc*sin(wt - th/2 + phi)*sin(th/2)/sqrt(R^2 + w^2*L^2);
i1 = I1 - M*Vc*sin(wt)/(2*w*l);
iaT = (i1 - io)*uaT;
kk = simplify(iaT);
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