hw9 - Problem 3 – Inductance Consider the example on page...

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EE321 Spring 2010 Homework 9 Problem 1 – Winding Functions Find the winding function for ) 2 / 3 sin( ) 2 / sin( ) ( 3 sm s sm s sm as P N P N n φ φ φ + = Problem 2 – Rotating MMF The winding function of the a- and b-phase stator windings of a machine are given by ) 4 cos( 100 s as w φ = and ) 4 sin( 250 s bs w φ = . The a-phase current of the machine is given by ) 8 / cos( 10 π ϖ + = t i e as . Determine the b-phase current and the airgap needed to achieve an airgap flux density of ( ) 4 8 / cos( 2 . 1 , s e s t t B φ π ϖ φ - + = . Problem 3 – Rotating MMF The conductor turns density of a two phase machine is given by sm bs sm as n n φ φ 2 sin 100 2 cos 100 - = = The a- and b-phase currents are given by ) 400 sin( 5 ) 400 cos( 5 t i t i bs as = = Express the total stator MMF.
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Unformatted text preview: Problem 3 – Inductance Consider the example on page 59-69 of the distributed winding lecture notes. Find the self magnetizing inductance of the a-phase winding. How does this value compare to asbs L ? Problem 4 – Unbalanced MMF The conductor turns density of a two phase machine is given by sm bs sm as n n 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 sum of a forward and reverse traveling wave....
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