Package com.powsybl.openloadflow.ac.equations.asym
package com.powsybl.openloadflow.ac.equations.asym
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ClassesClassDescriptionWe 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 ]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 ]