Lecture Notes14_AcPower

V i v ejv i eji v v i ej v i ej v i i cos

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Unformatted text preview: rection • 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 ejφ = V I ej (θV −θI ) I cos φ + j V I sin φ 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 I ejφ = V I ej (θV −θI ) I cos φ + j V I sin φ = P + jQ 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 =V I ejφ = V I ej (θV −θI ) I cos φ + j V I sin φ = P + jQ 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 =V I ejφ = V I ej (θV −θI ) I cos φ + j V I sin φ = P + jQ Complex Power: E1.1 Analysis of Circuits (2013-3867) S = V I ∗ = P + jQ measured in Volt-Amps (VA) 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 Tra...
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This document was uploaded on 02/20/2014 for the course EE 101 at WVU.

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