Lecture Notes14_AcPower

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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Ask a homework question - tutors are online