Lecture Notes14_AcPower

V i v ejv i eji e11 analysis of circuits 2013 3867 ac

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Current lags Voltage) φ < 0 ⇔ a leading power factor (rare case: Current leads Voltage) E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 4 / 11 Complex Power 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 1 If V = √ |V | ejθV and 2 ˜ I= 1 √ 2 |I | ejθI The complex power absorbed by Z is S = V × I ∗ where * means complex conjugate. E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 5 / 11 Complex Power 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 1 If V = √ |V | ejθV and 2 ˜ I= 1 √ 2 |I | ejθI The complex power absorbed by Z is S = V × I ∗ where * means complex conjugate. V × I ∗ = V ejθV × I e−jθI E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 5 / 11 Complex Power 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 1 If V = √ |V | ejθV and 2 ˜ I= 1 √ 2 |I | ejθI The complex power absorbed by Z is S = V × I ∗ where * means complex conjugate. V × I ∗ = V ejθV × I e−jθI = V E1.1 Analysis of Circuits (2013-3867) I ej (θV −θI ) AC Power: 14 – 5 / 11 Complex Power 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 1 If V = √ |V | ejθV and 2 ˜ I= 1 √ 2 |I | ejθI The complex power absorbed by Z is S = V × I ∗ where * means complex conjugate. V × I ∗ = V ejθV × I e−jθI = V =V E1.1 Analysis of Circuits (2013-3867) I ej (θV −θI ) I ejφ AC Power: 14 – 5 / 11 Complex Power 14: Power in AC Circuits • Average Power • Cosine Wave RMS • Power Factor • Complex Power • Power in R, L, C • Tellegen’s Theorem • Power Factor Cor...
View Full Document

Ask a homework question - tutors are online