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hw9 - t i e as Determine the b-phase current and the airgap...

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EE321 Spring 2008 / Homework 9 Problem 37 – Discrete winding function The number of conductors in each slot of the a-phase of the stator of the machine are as follows: [ ] T as N 10 20 20 10 10 20 20 10 10 20 20 10 10 20 20 10 = Compute and graph the winding function associated with this winding. Problem 38 – Continuous Winding Function Suppose the turns (conductor) density of a winding function is given by ) 3 / 2 8 cos( 262 π φ = r br n Compute the rotor b-phase winding function in terms of position measured from the rotor. Problem 39 – 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
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Unformatted text preview: 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 − + = . Problem 40 – Rotating MMF The conductor turns density of a two phase machine is given by s bs s as n n 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. What is the speed and direction of the MMF ? Problem 41 – Inductance Consider the example on page 58-59 of the distributed winding lecture notes. Find the self magnetizing inductance of the a-phase winding. How does this value compare to asbs L ?...
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