Lecture Notes14_AcPower

9 a 565 36 r s v i 106 j 76 kva 1336 kva cos

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Unformatted text preview: uits • 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 V = 230. Motor modelled as 5||7j Ω. V I = V + ZL = 46 − j 32.9 A = 56.5∠ − 36◦ R S = V I ∗ = 10.6 + j 7.6 kVA = 13∠36◦ kVA cos φ = |P | = cos 36◦ = 0.81 S Add parallel capacitor of 300 µF: ZC = E1.1 Analysis of Circuits (2013-3867) 1 jωC = −10.6j Ω AC Power: 14 – 8 / 11 Power Factor Correction 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 V = 230. Motor modelled as 5||7j Ω. V I = V + ZL = 46 − j 32.9 A = 56.5∠ − 36◦ R S = V I ∗ = 10.6 + j 7.6 kVA = 13∠36◦ kVA cos φ = |P | = cos 36◦ = 0.81 S Add parallel capacitor of 300 µF: ZC = E1.1 Analysis of Circuits (2013-3867) 1 jωC = −10.6j Ω ⇒ IC = 21.7j A AC Power: 14 – 8 / 11 Power Factor Correction 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 V = 230. Motor modelled as 5||7j Ω. V I = V + ZL = 46 − j 32.9 A = 56.5∠ − 36◦ R S = V I ∗ = 10.6 + j 7.6 kVA = 13∠36◦ kVA cos φ = |P | = cos 36◦ = 0.81 S Add parallel capacitor of 300 µF: ZC = 1 jωC = −10.6j Ω ⇒ IC = 21.7j A I = 46 − j 11.2 A = 47∠ − 14◦ A E1.1 Analysis of Circuits (2013-3867) AC Power: 14 – 8 / 11 Power Factor Correction 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 V = 230. Motor modelled as 5||7j Ω. V I = V + ZL = 46 − j 32.9 A = 56.5∠ − 3...
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