hw10 - currents of a 4 pole machine are given by 200 cos 50...

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EE321 Spring 2008 / Homework 10 Problem 42 – Unbalanced MMF The conductor turns density of a two phase machine is given by s bs s as n n φ φ 2 sin 100 2 cos 100 = = The a- and b-phase currents are given by ) 400 sin( 4 ) 400 cos( 5 t i t i bs as = = Express the total stator MMF as the some of a forward and reverse traveling wave. Problem 43 – Winding Functions Obtain (4.5-19) from (4.5-16). Problem 44 – Electrical and mechanical rotor speed The electrical frequency applied to an synchronous machine (an AC machine in which the rotor travels at the same speed of the MMF) is 60 Hz. The mechanical rotor speed is 900 RPM. How many poles does the machine have ? What is the electrical rotor speed in rad/s ? Problem 45 – Rotating MMF Using the configuration we studied in class (Figure 5.2-1 in text), the stator
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Unformatted text preview: 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 46 – Phase Inductance Suppose the winding function of a-phase of the stator is given by ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = sm s as P N P w 2 cos 2 and the winding function of the b-phase of the rotor is given by ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = rm r br P N P w 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 μ and electrical rotor position r θ ....
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