Lecture Notes14_AcPower

1 analysis of circuits 2013 3867 1 t t 0 ptdt 1 r 1 t

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Unformatted text preview: tantaneous Power dissipated in R: p(t) = 50 100 150 t (s) 200 250 v 2 (t) R Average Power dissipated in R: P= E1.1 Analysis of Circuits (2013-3867) 1 T T 0 p(t)dt = 1 R × 1 T T 0 v 2 (t)dt AC Power: 14 – 2 / 11 Average Power 14: Power in AC Circuits 1 1 0 0.5 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 -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: P= E1.1 Analysis of Circuits (2013-3867) 1 T T 0 p(t)dt = 1 R × 1 T T 0 2 v (t)dt = v2 R AC Power: 14 – 2 / 11 Average Power 14: Power in AC Circuits 1 1 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) -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 E1.1 Analysis of Circuits (2013-3867) v2 R 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 = E1.1 Analysis of Circuits (2013-3867) v2 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 • Com...
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