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EET307 2010-2011_ELECTRICAL QUANTITIES

EET307 2010-2011_ELECTRICAL QUANTITIES - ELECTRICAL...

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03/05/11 1 ELECTRICAL QUANTITIES
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03/05/11 2 AVERAGE VALUE = T av dt t y T Y 0 ) ( 1
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03/05/11 3 AVERAGE VALUE = T av dt t y T Y 0 ) ( 1
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03/05/11 4 RMS VALUE = T dt t y T Y 0 2 ) ( 1
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03/05/11 5 COMPLEX WAVEFORMS 2 2 ac av y Y Y + = 1 2 1 2 1 2 1 - = - = = Y Y hf Y Y Y Y Y hf h h av ac Y Y rf = Harmonic factor Total harmonic Ripple factor (Dc quality of a Waveform)
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03/05/11 6 DUTY CYCLE T t CYCLE DUTY on =
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03/05/11 7 FORM FACTOR av Y Y ff = 2 2 π D T 0 A ( 1 - D ) T D 1 0 2 π
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03/05/11 8 CREST FORM FACTOR RMS PEAK cf = The ac supply voltage crest factor, when compared with 1.414, the pure sinewave crest factor, is an indication of the voltage distortion created by a non-linear load
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03/05/11 9 POWER NETWORK or SYSTEM v(t) i(t ) ) ( ) ( ) ( t v t i t p × = dt dJ dt dW P = =
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03/05/11 10 instantaneous power AC  values  vary with time DC  values  the same at any instant t t
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03/05/11 11 GENERAL FORMAT PHASORS are NOT vectors arrow heads not needed! PHASORS representing V & I normally RMS values
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03/05/11 12 TIME DOMAIN i(t) v(t) t 0 = ref i v - θ v θ i θ ref ) ( i v θ θ - DISPLACEMENT ANGLE ) cos( ) ( ) cos( ) ( i P v P t I t i t V t v θ ϖ θ ϖ + = + =
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