EECE 471 Final Solution, Fall 2008

American University of Beirut · Fundamentals of Power Systems Analysis · 11 pages · Prof. Sami Karaki · with solution

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Binal Exam EECE 47/ Feb, 3, 2009 ww] w / 2) hia D= 450+ ASP + D008 P35 t/OK GZ 427+ 008P ubject tO ¢ Pie 5:10 "C200 -/2) on Lpd = oa 17. & 160 i OoSk es” C4) Ap ay I beso Ne lesraeu Crohn ls lonchs Fi bia + ms ‘ x i ’ é i ; Ths Vela a ble s ¥y, a9 Jee ihe 7 mre) abictty fen thew aly Ls nif G ip fee } a 160. If lA to a? The Aynit they Y. ina he Ma7} Jeo. Se. 7, (R- Io) = 6 always . The peleosaru ophinals hy cendl Nene art as e, a Latlws é karosA- kpha- tu cker ae Ker , ; 24, 4540: o16P-A- -U +h, =o ae "at om ZL qer 0.06 = AC. #10 (200- AD) T+ Prep OP, ale : (!- OP. EVN, 2-0. coh] ew > <<) Q 0 po Re pf p f- , } b) Lm padey addune that fh aul A arn 4 ry ; i. bbickh ey fest. dannii Phot ¢ Ai 7 Bo that , 2 & Pa -o! Sa hve tto fo Lew pg 22A] cba: Lo =! (40001 (200-7) | by He penelhy . at Lo Lach ° R= 5x10’ (2e0-Fr) ee The j/dadve preee ui & a 7% (pees: 6 —s } pe z : ° } Slo/ve. Joss- less O's Ag feds Poaud B by Vv bo GF jo va) 07a g Ze sland =O ay Popo, ae! Clee fin LK we P. find Pe —t - le a i arnt? 7 If[ PR +R eco - ROI 4% 1 FE Ord Ar Sofve fossiess dispatek 2 O01 Pm 2-4 0.06 Fe ~) (Ley) =- $2 A + aa AGF So Solve! fo 7k PDLF bs -elentved Kream She Mews fay — oD H o é . Li _ ? Ka pian} LR a@ssariag RA he S fin le / ~ . ft. 2 - ae i pr po , OPM TTA 7 tty? Ver ne vinad Cone AGH) ats ey, F. wet s if , vin fd Pht Vert fe S/ pu, Quo! the Phase Gin & A380. when eveclue Aag G ~ Zé when ype = ° Wt element oF the TecoGtav. imei tee Ui, aud Tar. Mahiles Tiq awd Sey arn peglectwwl because their elomerts art Lb : as rose of Ga aud aay: 742 fLeoghve FOLF ochyr ape Aone art f , _ . 7 ‘ ‘ ~~ , C) ; od ef , a ry i Cc rt : S ¥, 1S -5 uw AR (3,8 Ng ) :b2 = ze ye : 2 5 c 5 r ry rare — & 3M: ") S, ‘Ss , _§ ND | | a( wee i ¢ whew NPR ane! SA, Art ad Giver bers 1) £(2), Th. tinahve FOLFE uackve 2bt1a hod to F V7. My [io | IXQ3 CEN" 52" V5") or ost | at tha slack kg t Bh Pose Bud at bubba ZA. / Lif he ao FIs / ark ’ achive Guol reachve wos maslek Lips wPmrS te i Js Le FAL. 7 = “UY, B., (dun fo. 20 Ba V, V; ! Pe : , Ars —~10. am Oo + Va 9 am ( S 1-8) ~ O45 . V. V ras ~ . 2°) 3 3 Aa (03 ) : ap V3V. os Be» LV fd, 4 ef _ _ V Vv y f San = a 8, ten (E54) ) —\4V, 8, weld, z ~ Vs Bz, + Wy =O " LG so 5 ) 5.) Q, Vz 2 tm (53) - Vn 5 ue (0,8, } +Ve 10 + O, 3 * <2) 3 Reb aR ORS A OOM IE INET OTS fae Ss) Ahm, ian “Nene om ot © & o Na v ome NY g Ww R or a p / Ly, Pe] loa Ohta et kena baa Zia aR have. fo fame ke nara) G ' Sa Ja Crtanen tal het huge any Mnpacanen fal Pot t pe Goo db oA ys = #695 3 Awh. SS Sty pee eT A i ; “ ~ } act Joc! bas loan ’ hou baa. 5 ~T3 é ita AIA wey FE co J) cat cule be SP é AP, (0,0, 4) 2-7 O14 oN SPs (0,0, 1) = \ Tla inwase Socobvan mahniX ws 9 rev Loy Z OOF 0,04 -} = J, O.0Y O12 Tha welts og phast Auple, cf Hea the Ast (rah ore 55 Q | 0,08. 0.04 -O¥ — 0.008 s = - a. = oO, g 0.0% OLL { —0,\0 4 The vale of V3 (vob Haupt me gar ar de } by Chink bel L / as fallews : ey 5, i i v; Ad, ( -0.008, ~0.104, \) = — \xd* bp (-Oito¥) - 1X5 x fos (O10 40/008 ) + +O = S@, 2~5-5+10+052 OF { dD, = —0,008 rod- 0,458" ! ds V3 = 0.95 Pu, =-.0,\0¥ fads -~5.96° FE 3. ) Yoo, 2 a) Cl Coen Ae O2 pec unre velueg tse G } Xx. 2 t2x% 12 [60 = 4h Xe = pu Ss) ; fons AGO. AZ® } . Xu = Sx LD 2 O72. Aru, 2SU je O,2% 1D - 0,08 fru 250 Ko, = O106x (8 2 0,624 PX 256 ; ~ Xqp * OOSK MO. 0,02 7 25% fr 65+ Xe = Olle 109 - 0,092 pa, /20 } Xar = O8x (52 _ 0.25, Pah, 720 u ; X aye O-2 x LOO = O,/67 pitt. 726 Xpo = C:06x 2 2 AOS Au, f2 Kaze 0,0¢/7F at fea, tea 7 thi. trans; VLAN 2 Xr = Xr - O,/2x% £80 od O.0Y48 Pull, 250 7 rag m7 SSI AY) / Yne..€0O & Paula: X= £2. - £2. 0/2¢ pu, "a0" 28% “ 76D 1 FE b) Pos hve Deere ti. Netwak, We ai // wat the Frano/ont tat Autis for Ths shuts Wa vainb f we S-8 cy eS oo fen inaphr , -N-Ye ft }.0.)2 J0.08 Me GEA Ave «SS. ebecbu a Ne hwoks / J2OW8 g fOlY 3. fo.0¥s Dp I). $F! o fOlET Few Oeperer Nletwak . jooee JOIEXS 0.048 L [- = : z yer . YO.b2x 3 reece tent aerate aimee /O 1 FE Thaw HL oe a | Zr, zo - (J008) f (jo | : = fRO¥3 ol) Comte E41 EM fr ao SLG fault TY fens) PigeVa OS fr a fultat yeale 2: 0.42)