Modélisation et Commande des Systèmes Electriques
Interrogation écrite
Exercice 1 : Modélisation du moteur à courant continu
! ! " # $
( ) ( )
( )
=Ω( )
θ
− Ω =
+ +
=
= Ω
=
%
&
%
&
%
&
%
&
%
&
%
&
%
&
%
&
%
&
' # ( # #( ) # ! #( ) # ! "#
) # ! "# !* + )Ω # θ # " + #
,
, ! -# .. + # -
# .. ,
/ !* !* # # " 01# ! ! ! , 1# !2 # ! ( "
# # " # ! # ! "# , 1# !
2 ! ( " # ! "# # ! "# !* + " #
# " + # ,
, 3 " - # 0 1# ! ! # + 0 (
#( ! 0 ! 01# !,
4, - " " 1# 1# !2 # ! ( . !* 1# !
# + + ,
, 56 !* " # 1# !2 ! (,
Exercice 2 : Passage du modèle αααα - ββββ au modèle dq de la machine synchrone
7# # !* 8 !* "9# # # "7 α β# ( ! $
( ) ( )
( ) ( )
[
− ⋅ θ + ⋅ θ]
ϕ ⋅
= ⋅
ϕ
⋅ ϕ +
⋅
=
θ
⋅ θ ϕ +
⋅ ϕ =
ϕ
β α
β α β
α β
α
β α β
α
!
!
, ! - ! " # .. + # .. ,
! # # "7 ) # # . $
( )
θ ⋅β =
α
!
!
!
!
'! " ϕ) !
( ) ( ) ( )
( )
θ( )
θ θ−
= θ
θ !
! ,
, -# # !* # "7 # ,