Lecture Notes14_AcPower

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

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Unformatted text preview: Current lags Voltage) φ &lt; 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...
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