Project2

# Project2 - P R O J E C T 2 The motor parameters of an...

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Unformatted text preview: P R O J E C T 2 The motor parameters of an induction machine are: R S =0.3 ohm, R R =0.15 ohm, M=0.035 H, S A =0.0015H, R A =0.0007H. Part I In the γ- δ frame, the electrical equations can be put in the form: i F i G n i p L i R e m ] [ ] [ ] [ ] [ ω ω + + + = where ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = R R S S R R R R R ] [ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ + + + + = R R S S M M M M M M M M L A A A A ] [ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ + + + + − − = ) ( ) ( ] [ R R M M M M G A A ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ + − − + − + − + = ) ( ) ( ) ( ) ( ] [ R R S S M M M M M M M M F A A A A and the mechanical equations as: ) ( 1 1 γ δ δ γ ω ω R S R S L m m i i i i nM T f p J − = + + By small perturbation linearization, a set of linearized equations of the form is obtained: ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ Δ Δ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ Δ Δ m m i A A A A i p ω ω 22 21 12 11 where ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ Δ Δ Δ Δ = Δ δ γ δ γ R R S S i i i i i and ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ Δ Δ Δ Δ Δ = Δ m R R S S i i i i x ω δ γ δ γ where the 4x4 [A 11 ] matrix is: ]} [ ] [ ] {[ ] [ ] [ 1 11 F G n R L A m ω + Ω +...
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## This note was uploaded on 02/23/2010 for the course ECSE 462 taught by Professor Bon-tekooi during the Spring '09 term at McGill.

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Project2 - P R O J E C T 2 The motor parameters of an...

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