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hw12 - EE321 Spring 2009 Homework 12 Problem 54 Rotating...

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EE321 Spring 2009 Homework 12 Problem 54 – Rotating MMF Using the configuration we studied in class (Figure 5.2-1 in text), the stator currents of a 4 pole machine are given by ) 200 cos( 50 ) 200 sin( 50 t i t i bs as - = = The speed of the machine is 500 rpm in the CW direction. What is the physical speed and direction of the stator MMF as viewed from the rotor. Problem 55 – Phase Inductance Suppose the winding function of a-phase of the stator is given by = sm s as P N P w φ 2 cos 2 and the winding function of the b-phase of the rotor is given by = rm r br P N P w φ 2 sin 2 Express the mutual inductance between the a-phase stator and b-phase rotor windings in terms of s N , r N , P , the rotor radius r , the rotor length L , the airgap g , the permeability of free space 0 μ and electrical rotor position r θ . Problem 56 – QD Transformation Show in detail that ms s s T sr s r L K L K = - 1 ' where ' sr L is given by (5.3-48) and ms L is given by (5.5- 23).
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