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assignment4 - ASSIGNMENT 4(2009 Question 1 The inductance...

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ASSIGNMENT 4 (2009) Question 1. The inductance matrix of a 3-phase stator and a single-phase rotor is: 11 12 13 14 21 22 23 24 31 32 33 34 41 42 43 44 Sa Sa Sb Sb Sc Sc R R L L L L i L L L L i L L L L i L L L L i λ λ λ λ = The inductance is: [ ] ( ) ° ° ° ° = 2 2 2 3 0 ) 240 cos( ) 120 cos( cos ) 240 cos( 1 2 1 2 1 ) 120 cos( 2 1 1 2 1 cos 2 1 2 1 1 Sk Rk Sk Rk Sk Rk Sk Rk Sk Rk Sk Rk Sk Rk Sk B B k B B k B B k B B k B B k B B k B B B gk LR L θ θ θ θ θ θ πμ The stator currents are ) 240 sin( ) 120 sin( ) sin( γ ω γ ω γ ω + ° = + ° = + = t I i t I i t I i S Sc S Sb S Sa The open-circuited rotor is driven externally so that θ = ω m t/k .
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