Lecture Notes14_AcPower

5 vt it 1 0 05 0 2 0 2 4 6 8 10 0 t ms 2 4 6 8 10 t

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Unformatted text preview: ⇔ ⇔ 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) 1 2 |V | |I | cos (θV − θI ) + 1 2 |V | |I | cos (2ωt + θV + 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 1.5 v(t) i(t) 1 0 0.5 0 -2 0 2 4 6 8 10 0 t (ms) 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) 1 2 |V | |I | cos (θV − θI ) + 1 2 |V | |I | cos (2ωt + θV + 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 1.5 v(t) i(t) 1 0 0.5 0 -2 0 2 4 6 8 10 0 t (ms) 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 = 1 2 |V | |I | cos (θV − θI ) + 1 Average power: P = 2 |V | |I | cos (φ) E1.1 Analysis of Circuits (2013-3867) 1 2 |V | |I | cos (2ωt + θV + θI ) where φ = θV − 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 1.5 v(t) i(t) 1 0 0.5 0 -2 0 2 4 6 8 10...
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This document was uploaded on 02/20/2014 for the course EE 101 at WVU.

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