# 253-3-AC-power - AC Circuits Power Analysis Instantaneous and Avg Power(Chap 11.1 Max Avg Power Transfer(Chap 11.2 Effective or RMS Value(Chap 11.3

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EECE 253: AC Power Analysis Slide 3.1 AC Circuits: Power Analysis • Instantaneous and Avg Power (Chap 11.1) • Max Avg Power Transfer (Chap 11.2) • Effective or RMS Value (Chap 11.3) • Apparent Power and PF (Chap 11.4) • Complex Power (Chap 11.5) • Conservation of AC Power (Chap 11.6) • PF Correction (Chap 11.7) • Power Measurement (Chap 11.8)

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EECE 253: AC Power Analysis Slide 3.2 Sinusoidal power at 2 ω t Constant power Instantaneous Power The instantaneous power at time t is given by p (t) > 0 power absorbed by circuit; p (t) < 0 power absorbed by source. ) 2 ( cos 2 1 ) ( cos 2 1 ) ( cos ) ( cos ) ( ) ( ) ( i v m m i v m m i v m m t I V I V t t I V t i t v t p θ ω + + + = + + = =
EECE 253: AC Power Analysis Slide 3.3 ) ( cos 2 1 ) ( 1 0 i v m m T I V dt t p T P θ θ− = = Average Power 1. P is not time dependent . 2. When θ v = θ i , it is a purely resistive load case. 3. When θ v θ i = ± 90º, it is a purely reactive load case, resulting in P = 0. The average power is the average of instantaneous power over one period.

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EECE 253: AC Power Analysis Slide 3.4 Examples Example A Compute instantaneous and average powers absorbed by a passive linear network if v(t) =80cos(10t+20º)V and i(t) =15sin(10t+60º)A Example B A current I =10 30º A flows through an impedance Z =20 -22º . Find the average power delivered to the impedance.
EECE 253: AC Power Analysis Slide 3.5 Th Th Th Th * Th L R P -jX R 8 is power load average resulting The . choose sfer, power tran average maximise To 2 max V Z Z = = = Maximum Average Power Transfer Th Th Th L X R R Z choose allowed, load real purely only If 2 2 = + = Given the Thevenin equivalent ( V Th and Z Th =R Th

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## This note was uploaded on 07/20/2009 for the course PHYS physics 10 taught by Professor Goatman during the Spring '08 term at The University of British Columbia.

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253-3-AC-power - AC Circuits Power Analysis Instantaneous and Avg Power(Chap 11.1 Max Avg Power Transfer(Chap 11.2 Effective or RMS Value(Chap 11.3

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