Lecture Notes14_AcPower

G branch 4 goes from 2 to 3 a4 0 1 1 branch voltages

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Unformatted text preview: 3867) AC Power: 14 – 6 / 11 Tellegen’s Theorem 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 Tellegen’s Theorem: The complex power, S , dissipated in any circuit’s components sums to zero. xn = voltage at node n Vb , Ib = voltage/current in branch b E1.1 Analysis of Circuits (2013-3867) (obeying passive sign convention) AC Power: 14 – 7 / 11 Tellegen’s Theorem 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 Tellegen’s Theorem: The complex power, S , dissipated in any circuit’s components sums to zero. xn = voltage at node n Vb , Ib = voltage/current in branch b (obeying passive sign convention) abn E1.1 Analysis of Circuits (2013-3867) −1 if Vb starts from node n = +1 if Vb ends at node n 0 else AC Power: 14 – 7 / 11 Tellegen’s Theorem 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 Tellegen’s Theorem: The complex power, S , dissipated in any circuit’s components sums to zero. xn = voltage at node n Vb , Ib = voltage/current in branch b (obeying passive sign convention) abn −1 if Vb starts from node n = +1 if Vb ends at node n 0 else e.g. branch 4 goes from 2 to 3 ⇒ a4∗ = [0, −1, 1] E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 7 / 11 Tellegen’s Theorem 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 Tellegen’s Theorem: The complex power, S , dissipate...
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