exam2redo - r 2 = k V as v abcs i abcs – 1 1 2-– 1...

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ECE610 Exam 2 1) A 4-pole 3-phase permanent magnet synchronous machine is operating in steady-state with Vs. mH, mH, , and Vs. . Determine and . (15 pts) 2) A 3-phase resistive-inductive-capacitive system has the following mathematical description. Determine , , and if . (18 pts) 3) A 3-phase, 4-pole permanent magnet sychronous machine has Draw a cross sectional view of the machine that shows the phase-a winding, the rotor, the mag- nets, and a rotor position angle that indicates the relative position between the stator and rotor that would lead to such a q-d axis flux linkage. Express in terms of and for this machine. (8 pts) 4) A 3-phase 2-pole wound rotor synchronous machine has mH. Draw a cross sectional view of the machine that shows the phase-a winding, the rotor, and a rotor position angle that indicates the relative position between the stator and rotor that would lead to such an inductance. Express for the machine. (6 pts) λ as 0.1 100 t ( 29 cos = L q 5 = L d 3 = r s 1 = λ m 0.1 =
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Unformatted text preview: r 2 = k V as v abcs i abcs – 1 1 2--– 1 2--– 1 2--– 1 1 2--– 1 2--– 1 2--– 1 p i abcs – v Cabcs – = p v Cabcs i abcs = I qs e I ds s I as v abcs 20 10 t ( 29 cos 20 10 t 2 π 3------– cos 20 10 t 2 π 3------+ cos = λ q L q i q = λ d L d i d λ m – = T e I qs r I ds r L asas 0.1 3 2 2 θ r ( 29 cos – + = L asbs 5) A 4-pole, 3-phase wound-rotor synchronous machine has mH, mH, mH and neglible stator resistance. . The field winding current is set to produce rated stator voltage of 150 V (line-neutral rms) under open-circuit conditions with rad/ s. a) Determine the maximum power that can be obtained from the machine. (6 pts) b) If the q-axis damper winding is open- (rather than short) circuited, determine the steady-state voltage that would be observed across the damper winding at the maximum power condition. (5 pts) L q 5 = L d 5 = L ls 1 = r fd ′ 1 = Ω ϖ r 377 =...
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