Simplify equations symbolic toolbox?

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Baljit
Baljit 2016-5-10
编辑： Baljit 2016-5-10
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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