阻抗建模-dq轴各分量表达式计算方法

syms w1 wp t theta_pll fai_vp fai_vn V1 Vp Vn
 % 直流分量
Vd_dc=simplify((2/3)*V1*cos(w1*t)*cos(theta_pll) ...
+(2/3)*V1*cos(w1*t-2*pi/3)*cos(theta_pll-2*pi/3) ...
+(2/3)*V1*cos(w1*t+2*pi/3)*cos(theta_pll+2*pi/3))
 % 正序分量**
Vd_p=simplify((2/3)*Vp*cos(wp*t+fai_vp)*cos(theta_pll) ...
+(2/3)*Vp*cos(wp*t+fai_vp-2*pi/3)*cos(theta_pll-2*pi/3) ...
+(2/3)*Vp*cos(wp*t+fai_vp+2*pi/3)*cos(theta_pll+2*pi/3))
 % 负序分量**
Vd_n=simplify((2/3)*Vn*cos(wp*t+fai_vn)*cos(theta_pll) ...
+(2/3)*Vn*cos(wp*t+fai_vn+2*pi/3)*cos(theta_pll-2*pi/3) ...
+(2/3)*Vn*cos(wp*t+fai_vn-2*pi/3)*cos(theta_pll+2*pi/3))

计算结果

Vd_dc =
 
V1*cos(theta_pll - t*w1)
 
 
Vd_p =
 
Vp*cos(fai_vp - theta_pll + t*wp)
 
 
Vd_n =
 
Vn*cos(fai_vn + theta_pll + t*wp)

q轴分量计算方式同上