Lecture Notes14_AcPower

# Lecture Notes14_AcPower

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Unformatted text preview: plex Power • Power in R, L, C • Tellegen’s Theorem • Power Factor Correction • Ideal Transformer • Transformer Applications • Summary 0 0.5 mean(v2) v(t) -1 50 100 150 t (s) 200 0 250 Intantaneous Power dissipated in R: p(t) = 50 100 150 t (s) 200 250 v 2 (t) R Average Power dissipated in R: 1 T T 0 1 p(t)dt = R 2 1 T T 0 2 P= v (t)dt = × v 2 is the value of v (t) averaged over time v2 R We deﬁne the RMS Voltage (Root Mean Square): Vrms = v2 R v2 (Vrms )2 R = The average power dissipated in R is P = Vrms is the DC voltage that would cause R to dissipate the same power. E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 2 / 11 Average Power 14: Power in AC Circuits 1 1 VRMS v2(t) 2 • Average Power • Cosine Wave RMS • Power Factor • Complex Power • Power in R, L, C • Tellegen’s Theorem • Power Factor Correction • Ideal Transformer • Transformer Applications • Summary 0 0.5 mean(v2) v(t) -1 50 100 150 t (s) 200 0 250 Intantaneous Power dissipated in R: p(t) = 50 100 150 t (s) 200 250 v 2 (t) R Average Power dissipated in R: 1 T T 0 1 p(t)dt = R 2 1 T T 0 2 P= v (t)dt = × v 2 is the value of v (t) averaged over time v2 R We deﬁne the RMS Voltage (Root Mean Square): Vrms = v2 R v2 (Vrms )2 R = The average power dissipated in R is P = Vrms is the DC voltage that would cause R to dissipate the same power. We use small letters for time-varying voltages and capital letters for time-invariant values. E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 2 / 11 Cosine Wave RMS 14: Power in AC Circuits • Average Power • Cosine Wave RMS • Power Factor • Complex Power • Power in R, L, C • Tellegen’s Theorem • Power Factor Correction • Ideal Transformer • Transformer Applications • Summary 5 0 -5 0 2 4 6 8 10 t (ms) Cosine Wave: v (t) = 5 cos ωt. Amplitude is V = 5 V. E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 3 / 11 Cosine Wave RMS • Average Power • Cosine Wave RMS • Power Factor • Complex Power • Power in R, L, C • Tellegen’s Theorem • Power Factor Correctio...
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## This document was uploaded on 02/20/2014 for the course EE 101 at WVU.

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