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Circuits and Systems

by: Karolann Wiegand

Circuits and Systems ECE 3364

Karolann Wiegand
GPA 3.51

Thomas Hebert

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Thomas Hebert
Class Notes
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This 1 page Class Notes was uploaded by Karolann Wiegand on Saturday September 19, 2015. The Class Notes belongs to ECE 3364 at University of Houston taught by Thomas Hebert in Fall. Since its upload, it has received 72 views. For similar materials see /class/208288/ece-3364-university-of-houston in Electrical Engineering at University of Houston.

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Date Created: 09/19/15
ECE 3364 Circuits II Power Formulas Instantaneous power pt vt 139t In AC circuits vt vm cosa0t 9 and 139t139m cosa0t 9i Inductors 6v 7 6 71 2 Capacitors 6v 7 6 7739 2 v 1 v 139 pt quot39239quot cos9v 79i1cos2030t quot39239quot s1n9v 9is1n2030t va where 1t is the 0 reference v 1 pt quot39239quot 0089v 91 00820301 9V 9 V a where 9V amp 9 can be referenced with respect to any 0 reference Vmim Vmim Average power P cos19V 7 19 watts React1ve power Q 2 s1n19v 7 19 vars Power factor angle pfa 9V 7 9 Power factor pf eos9V 7 9i Reactive factor rf sin9v 7 9i Lagging currentphase lags voltagephase 9 gt 9 leading currentphase leads voltagephase 9 lt 9 v 1 RMS values vrms m and 1quot i so that P vmm 1mm cos9V 7 9 watts J5 J5 Note quotrmsquot and quoteffectivequot are synonymous so you often see ve instead of vms etc Complex power S P jQ v a Apparent power 39539 IP2 Q2 V a Se9 9 49v 7 9 va PScos6v 70 watts Qssin0v 70 vars Given ISI a lagging pf P S pf watts and QSsin cos 1pf vars Given ISI a leading pf P S pf watts and Q lSlsin7 cos 1pf vars In phasor notation ACcircuits 17v49v and ftm49i or inRMS units rms VTZ49V vm49v and Tm 49i tm49i 177 2 Balanced 3 phase circuits AC Pos phase seq 17M 104 7120 VAN VON 7 104 120 WAN and 1730 104 7120 ng I7CA 104 1201ng Neg phase seq 17M 104 120 WAN 17w 104 7120 WAN and 1730 104120 VAB I7CA 104 7120 ng Nrms Nrms 7quot 2 Nmts 2 V 1 V39a 1 ZLoad Load S 4ev7et7 Pos phase seq 7 43 30 I7AN AB 430 LIA note INAN INHA 3 Neg phase seq 7 43 1 730 I7AN INAB 1 730 40 quot Pg md watts Pm 3PA Y 7load PA N rms VAN Nrms 111A cos9 m7 9 1 Pg r71 d r71 d S1119VAN91MQB 0 Qc 0 Va QTTL3QA Y7load 7 Nrms Nrms QA IVAN 111A 1 SAVAquotI39S 153 Vms 5 49VAN791MSBSC Voltage source transformation Y a A and AaY YaA vab eE430 vayn ZA 3ZY 1 1 A7gtYZ Vain z73oojvabt ZIK ZA For Y a A load transformation just let voltages 0 For A a Y load transformation just let voltages0


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