Lecture Notes14_AcPower

# 1 analysis of circuits 2013 3867 v t v cos t

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Unformatted text preview: t) = |I | cos (ωt + θI ) AC Power: 14 – 4 / 11 Power Factor 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 2 v(t) i(t) 0 -2 0 2 4 6 8 10 t (ms) Suppose voltage and current phasors are: V = |V | ejθV I = |I | ejθI E1.1 Analysis of Circuits (2013-3867) ⇔ ⇔ v (t) = |V | cos (ωt + θV ) i(t) = |I | cos (ωt + θI ) AC Power: 14 – 4 / 11 Power Factor 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 2 v(t) i(t) 0 -2 0 2 4 6 8 10 t (ms) Suppose voltage and current phasors are: V = |V | ejθV I = |I | ejθI ⇔ ⇔ v (t) = |V | cos (ωt + θV ) i(t) = |I | cos (ωt + θI ) Power dissipated in load Z is p(t) = v (t)i(t) = |V | |I | cos (ωt + θV ) cos (ωt + θI ) E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 4 / 11 Power Factor 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 2 v(t) i(t) 0 -2 0 2 4 6 8 10 t (ms) Suppose voltage and current phasors are: V = |V | ejθV I = |I | ejθI ⇔ ⇔ v (t) = |V | cos (ωt + θV ) i(t) = |I | cos (ωt + θI ) Power dissipated in load Z is p(t) = v (t)i(t) = |V | |I | cos (ωt + θV ) cos (ωt + θI ) 1 = |V | |I | 1 cos (2ωt + θV + θI ) + 2 cos (θV − θI ) 2 E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 4 / 11 Power Factor 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 2 v(t) i(t) 0 -2 0 2 4 6 8 10 t (ms) Suppose voltage and current phasors are: V = |V | ejθV I = |I | ejθI...
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## This document was uploaded on 02/20/2014 for the course EE 101 at WVU.

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