02 Three Phase Circuits - Three Phase Circuits...

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Unformatted text preview: Three Phase Circuits Time-harmonic Signal ) cos( 2 ) ( t V t v V and I are rms values. ) cos( 2 ) ( i v t I t i ) ( t i ] 2 Re[ ) ( t j j e Ve t v v + _ ) ( t v ) ( t Z Phasor Domain v j Ve V rms V V or ] 2 Re[ ) ( t j j e Ie t i i v i j Ie I rms i I I or Instantaneous Power Definition: ) ( ) ( ) ( t i t v t p + ) ( t i Time-harmonic Case: _ ) ( t v ) ( t Z ] 2 Re[ ) ( t j j e Ve t v v ] 2 Re[ ) ( t j j e Ie t i i ) 2 2 ( 1 ) ( t j j t j j e Ve e Ve t p v v 1 2 t j j t j j v v ) 2 2 ( 2 e Ie e Ie Average Power ] [ 1 ) ( ) ( ) ( j j VIe VIe t p i v i v 1 2 2 ) ( 2 ) ( t j j t j j Ie Ie ] [ 2 e VIe e VIe i v i v verage Power: Average Power: ] [ 1 ) ( 1 ) ( ) ( j j T v VIe VIe dt t p P i v i v ) cos( 2 av VI T i v : Note 2 dt e T t j Power Factor pf ) cos( VI VI P v Unit: Watt = (volt . amp) i v av Power Factor: ) cos( pf i v lways positive for passive load lagging. current , 2 / If i v Always positive for passive load. leading. current , 2 /- If i v π j j e Z e I V i v | | , From ) ( ZI V + I Lagging – inductive load Leading – capacitive load i v _ V Z Reactive and Apparent Power ) cos( VI P Average Power: i v Reactive (or Quadrature) Power: ) sin( i v VI Q pparent Power: Unit: Var = (volt . amp) Apparent Power: VI S Unit: VA = (volt . amp) i v Power angle: Q S P Complex Power...
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This note was uploaded on 11/30/2011 for the course EEL 6208 taught by Professor Staff during the Fall '11 term at University of Central Florida.

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02 Three Phase Circuits - Three Phase Circuits...

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