class |
AsymmetricalClosedBranchCoupledCurrentEquationTerm |
We define T(i,j,g,h) = rho_i * rho_j * exp(j(a_j-a_i)) * y*_ij_gh * V_hj
where i,j are line's ends i,j included in {1,2}
where g,h are fortescue sequences g,h included in {z, p, n} = {0,1,2} (z = zero = 0, p = positive = 1, n = negative = 2)
Expanded formula :
T(i,j,g,h) = rho_i * rho_j * V_hj * yx_ij_gh * cos(a_j - a_i + th_hj)
- rho_i * rho_j * V_hj * yy_ij_gh * sin(a_j - a_i + th_hj)
+j( rho_i * rho_j * V_hj * yx_ij_gh * sin(a_j - a_i + th_hj)
+ rho_i * rho_j * V_hj * yy_ij_gh * cos(a_j - a_i + th_hj) )
By construction we have :
[ y_11_zz y_11_zp y_11_zn y_12_zz y_12_zp y_12_zn ]
[ y_11_pz y_11_pp y_11_pn y_12_pz y_12_pp y_12_pn ]
[Yzpn] = [ y_11_nz y_11_np y_11_nn y_12_nz y_12_np y_12_nn ]
[ y_21_zz y_21_zp y_21_zn y_22_zz y_22_zp y_22_zn ]
[ y_21_pz y_21_pp y_21_pn y_22_pz y_22_pp y_22_pn ]
[ y_21_nz y_21_np y_21_nn y_22_nz y_22_np y_22_nn ]
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class |
AsymmetricalClosedBranchCoupledPowerEquationTerm |
We define T(i,j,g,h) = rho_i * rho_j * exp(j(a_i-a_j)) * y*_ij_gh * V_gi * V*_hj
where i,j are line's ends i,j included in {1,2}
where g,h are fortescue sequences g,h included in {z,p,n} = {0,1,2}
Expanded formula :
T(i,j,g,h) = rho_i * rho_j * V_gi * V_hj * yx_ij_gh * cos(a_i - a_j + th_gi - th_hj)
- rho_i * rho_j * V_gi * V_hj * yy_ij_gh * sin(a_i - a_j + th_gi - th_hj)
-j( rho_i * rho_j * V_gi * V_hj * yx_ij_gh * sin(a_i - a_j + th_gi - th_hj)
+ rho_i * rho_j * V_gi * V_hj * yy_ij_gh * cos(a_i - a_j + th_gi - th_hj) )
By construction we have :
[ y_11_zz y_11_zp y_11_zn y_12_zz y_12_zp y_12_zn ]
[ y_11_pz y_11_pp y_11_pn y_12_pz y_12_pp y_12_pn ]
[Yzpn] = [ y_11_nz y_11_np y_11_nn y_12_nz y_12_np y_12_nn ]
[ y_21_zz y_21_zp y_21_zn y_22_zz y_22_zp y_22_zn ]
[ y_21_pz y_21_pp y_21_pn y_22_pz y_22_pp y_22_pn ]
[ y_21_nz y_21_np y_21_nn y_22_nz y_22_np y_22_nn ]
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