Recitation2 - Electric Energy Processing: Fundamentals and...

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1 Electric Energy Processing: Fundamentals and Applications 18-418: Recitation #2 Dr. Nermeen T. Mahmoud ( nermeentalaat@cmu.edu ) September 2,2009 Two Phase , Balanced And Unbalance Three Phase
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2 TWO-PHASE SYSTEM h A balanced two-phase generator has two voltage sources producing the same amplitude and frequency but 90°or 180°out of phase. h There are advantages in such a system since it gives the user the option of two voltages and two magnetic fields.
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3 Example 2-1 . 3 4 ) 180 cos( 2 * 110 ) ( cos 2 * 110 ) ( Ω + = - = = ° j Z V t t v V t t v b a ω a) Calculate the I A , I B , I N. b) Calculate the instantaneous and average powers delivered by the generator. In circuit below
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4 Example 2-1 A 0 A 9 . 216 22 A 9 . 36 22 . 9 . 36 5 3 4 0 110 180 110 0 110 = + = - = = - = = Ω = + = - = - = = = = ° ° ° ° B A N BN B AN A bn BN an AN I I I Z V I Z V I j Z V V V V V V o o a)
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5 Example 2-1 B) W 3872 P W ) 9 . 36 2 cos( 4840 3872 ) ( ) ( ) ( ) ( W ) 9 . 36 2 cos( 2420 1936
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Recitation2 - Electric Energy Processing: Fundamentals and...

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