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Name "Mathematical model of the induction mac"
"hine. \nSpace vector formulation in an arbitrary dq common reference frame."
"\nPer unit description. "
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Name " Electrical system equations: \n "
" vs = Rs is + 1/wo (dfs/dt) + wk M(pi/2) fs \n vr = Rr "
"ir + 1/wo (dfr/dt) + (wk - wm) M(pi/2) fr\n where the variables i, v, "
"and f are 2-dimensional space vectors; for instance\n is = [ids iq"
"s] and so forth,\n wk is the speed of the reference frame, wm the rotor "
"speed,\n and M(pi/2)represents a 90o space rotator namely M(pi/2) = [0 -"
"1;1 0]\n\n The flux linkage current relations are:\n fds = Ls ids"
" + Lm idr \n fdr = Lm ids + Lr idr (D_axis)\n "
" Ls =Lm +Lsl "
"; Lr = Lm +Lrl\n fqs = Ls iqs + Lm iqr\n fqr = Lm iqs + Lr"
" iqr (Q_axis)\n "
"\n Mechanical system equations:\n Te = 2H (dwm/dt ) + Bm wm + Tl "
"\n where Te = fs (cross) is = M(pi/2) fs (dot) is = fds iqs - fqs "
"ids\n = fs x is = M(pi/2) fs . is\n "
" = ir x fr = Lm (ir x is) = Lm/Lr (fr x is) \n "
" = 1/Lm' (fr x fs) Lm' =Lm c/(1-c) c = 1 - Lm^2/(L"
"s Lr) "
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