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exam22 - where a Express the steady-state form of the model...

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ECE 610 Exam 2, November 4, 2010 1.A 4-pole, 3-phase PMSM has , mH, Vs is operating as a motor. The system is in steady state with the phase- a current with respect to electrical rotor position in Figure 1. . a) Determine . (10 pts) b) What is the that would provide the same torque and speed as one obtains in a), but with the maximum efficiency? (10 pts) r s 1 = L s 1 = λ m 0.1 = T L 0.003 ϖ r 2 = Figure 1 V as V as
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2) The phase- a winding of a 3-phase 4-pole buried PMSM is shown in Figure 2. Draw the rotor on Figure 2 at the location it needs to be to determine the d -axis inductance using a standstill fre- quency response test with the circuit shown in Figure 3. Explain briefly. (6 pts) 3) A 3-phase system with , , , has the following dynamic model relating voltage to current in the stationary reference frame:
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Unformatted text preview: where . a) Express the steady-state form of the model and use it to determine , . (15 pts) b) Transform the dynamic model into the physical-variable model ( variables). (10 pts) 4) A wound-rotor synchronous machine is operated as a generator and is connected to a utility in which rad/sec. mH, , mH, negligible, . The system is operating in steady state with V, Vs, Vs. Determine , , and . (15 pts) Figure 2 Figure 3 ϖ e 1 = V qs e 2 = V ds e 2 – = v s = pi qs s i qs s + v qs s = pi ds s i ds s + v ds s = p 0.1 i s ( 29 i s + v s = p d dt----= I as V ds s abc ϖ e 377 = L mq L md 10 = = r fd ′ 0.1 = Ω L ls L lfd ′ L lkq 1 ′ L lkd 1 ′ 1 = = = = r s = P 2 = V fd ′ 10 = λ kq 1 ′ 1 – = λ fd ′ 1.1 = T e I as δ...
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