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# hw9 - EE321 Spring 2009 Homework 9 Problem 36 Rotating MMF...

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EE321 Spring 2009 Homework 9 Problem 36 – 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 37 – 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 - = = (corrected 3/30/09) 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. What is the speed and direction of the MMF ? Problem 38 – 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 39 – Unbalanced 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 - = = (corrected 3/30/09)

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hw9 - EE321 Spring 2009 Homework 9 Problem 36 Rotating MMF...

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