Notes_ACPwr_Ex_S07.pdf - ECE 2210 AC Power Examples A.Stolp rev Ex 1 R L together are the load Find the real power P the reactive power Q the complex

# Notes_ACPwr_Ex_S07.pdf - ECE 2210 AC Power Examples A.Stolp...

• Notes
• 4

This preview shows page 1 - 3 out of 4 pages.

A.Stolp 11/06/02 rev 2/27/07 ECE 2210 AC Power Examples Ex. 1 R & L together are the load. Find the real power P , the reactive power Q , the complex power S , the apparent power | S |, & the power factor pf . Draw phasor diagram for the power. V in . 110 V R . 10 Ω L . 25 mH Z 1 1 R 1 . . j ω L = 1 . . 0.1458 1 Ω e . . j 46.7 deg ω . 377 rad sec load = Z 4.704 + 4.991j Ω = Z 6.859 Ω θ arg ( ) Z = θ 46.7 deg pf cos ( ) θ = pf 0.686 I V in Z = I 11 11.671j A = I 16.038 A = arg ( ) I 46.7 deg P . . V in I pf = P 1.21 kW Q . . V in I sin ( ) θ = Q 1.284 kVAR OR... Q . . V in I 1 2 pf 2 = Q 1.284 kVAR S . V in I OR.. S P . j Q = S 1.21 + 1.284j kVA S Re ( ) S 2 Im ( ) S 2 = = S 1.764 kVA = atan Im ( ) S Re ( ) S 46.696 deg S = 1.764kVA /46.7 o OR, since we know that the voltage across each element of the load is V in ... Real power is dissipated only by resistors P V in 2 R = P 1.21 kW Q V in 2 . ω L = Q 1.284 kVAR S P . j Q S = S = = P 2 Q 2 1.764 kVA pf = = P S 0.686 What value of C in parallel with R & L would make pf = 1 ( Q = 0 ) ? = Im ( ) I 11.671 A X C V in Im ( ) I = X C 9.425 Ω = 1 . ω C = 1 . X C ω 281 μ F OR.. ω = 1 . L C C 1 . L ω 2 = C 281 μ F Ex. 2 R & L together are the load. Find the real power P , the reactive power Q , the complex power S , the apparent power | S |, & the power factor pf . Draw phasor diagram for the power. Series R & L R . 10 Ω Z R . . j ω L V in . 110 V load = Z 10 + 9.425j Ω = Z 13.742 Ω ω . 377 rad sec L . 25 mH θ arg ( ) Z = θ 43.304 deg pf cos ( ) θ = pf 0.728 I V in Z = I 5.825 5.49j A = I 8.005 A = arg ( ) I 43.304 deg P . . V in I pf = P 0.641 kW Q . . V in I sin ( ) θ = Q 0.604 kVAR S . V in I = S 0.641 + 0.604j kVA = S 0.881 kVA = arg ( ) S 43.304 deg S = 881VA /43.3 o ECE 2210 AC Power Examples, p.1

Subscribe to view the full document.

ECE 2210 AC Power Examples, p.2 OR, if we first find the magnitude of the current which flows through each element of the load...
• Fall '08
• Staff

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes