Practice Session 2

# Practice Session 2 - ECSE 462 PRACTICE SESSION II Question...

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ECSE 462 PRACTICE SESSION II Question 1 Fig. 1 electric machine with α - β frame windings. The current vector of the electric machine in the α - β frame is S S R R i i i i i α β αβ = From equation 14 of Lecture 9, the mutual inductance matrix is: = M n M M M n M n M n M n M M n M n M M M m m m m m m m m m 0 cos sin 0 sin cos cos sin 0 sin cos 0 )] ( [ θ From the formula of the co-energy 1 1 [() ] 2 T mm Wi Mi = (where the superscript T of T i denotes “transpose of the vector”), derive the formula of torque T e- αβ in the α - β frame. s axis s ra x i s x i s m

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[() ] 1 [] 2 T m e m M Ti i α βα β θ = Question 2 From equation (5) of Lecture 10, the α - β frame currents are related to the d-q frame currents by 0 0[ ( ) ] dq dq m I ii Cn αβ ⎡⎤ = ⎢⎥ ⎣⎦ where Sd Sq dq Rd Rq i i i i i = and from (3) = m m m m m dq n n n n n C αχ cos sin sin cos )] ( [
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Practice Session 2 - ECSE 462 PRACTICE SESSION II Question...

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