EECE 471 Notes Chapter 2 Summary, Fall 2015
American University of Beirut · Fundamentals of Power Systems Analysis · 6 pages
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Chapler 2. Fandementals
) 2.): Phases
r rons forma bion . Ny
pase , _ Vee AS
y(t) -V Cos (wb 9) __¢@—}> Vs € iG
if all signals haw
same Frees = Viner (cosS »jsimS)
p(t) BNV-~ cole) g-———
“Ttme dometh Signal is dbpeld
rag by rsbaling ph
f ry Mtatin phaser ak given regalo
) Se Speed -
7
Vicos
2.2: " Reveltad ines i im Single Phase AC cima s
Gent RLC Loads
Ke
Li: Cote): capecibive Leadung
» iaduc hive Ranging \) = Vi. ©
» P(E) = v(t) eUs) Te Low
tM, Pres fate5)-cofstees)]
B= MIT -ca(s 4) }4 + Cosf Quer Th
@) -f)}+ sin | 2ee+g)]
= PII +s au) | t Qs (deers)
Nole Ta duc live lapel Consumes positive
Sd
Peac tive power .
Genta ale post i ve
# Capocthive Qoed Consumes negaline
feackiw power»
22VT* (Ves) ( Tey
\5-8)
VeVe? Deline. Comphec poor C as e
-VTe
ao:
INSIght | NT [ cos(S-Pbjsin($-A)]
= P+5Q
SPQ, pw. B+[Ae eefansl]
+» [sin[ 2405) .
Noles pao Pelee ces ( _A)
pra
~ f
ae is
100 Kw —_
AN! OG of Dogg
() _%
ser 7 to male pt: =0.45 Lagaing
cy) | | . o—{_ OY
<¢ \daraq Lay | \ | 4 | £
\ -¢} \ (_4 \
A @) ‘ ; cae (3
‘ | | y
wT ¢ ¥ | | | \ ; ¢
mae = ——_}~
@ i : | C_ 7 t
P
oF S B te 08): 264°
Q.-R lan (0) ~\O0sen(?4,4)= 75 K Vay
GE wtos IV,
cos(@) A
Aller MJdeng Cagaci ler
Qntee? 95 - A = coi (0.4%) = 18.2"
0, =P “ll. 29.99" |
S.]- FL = 105.3 «VA Insight
co Q
Q, =, -Q = 15 -32.35 =42.1kK VA,
eX Ve
en
Jt
aK i“ oe “ 4
Y) (v we
_ Soe Ss reeling _ Ss?
Comedd
|
ae “amonet $C
x Ey = EZ0 * 10° Jy Te - Eq r.-12-6
~ £y. E/-120° ube a Fag
«Ee-E Lego’ c T, +b T,-Tl-10-8
ZL +Zy
Te Le L T £140-2
Zrzy
2.6
Creamy 1a
FE 3-Lse - \ L L3o = bon a cs
: “4 Eq beh ow ey
cue V3. [ o 7 3 £ 130-110 —_
L
Coa L 130-140 Loa (a
Ec
{30 Goad /\ Conne elion
a - ANA aan CO
Qa Ay $$ Wt
Cc
Ved bhal To t Vy t TT. 3 (0) Lor ON A ms Faaemanes eal Load by
Const dering KCL al Nedes A, 6,0 al Kesaud cide
Tes Tye Ty
— ——— Wyre
Zh ]
©) ‘| Zy or eq siyben| Zyo4 A- dead
— =
Pee nm Belened 9. ) Ceci uit
%, (P< Ya Vm Cos(ubS)
’ Tio
Za (L) -V4 Te cos(utr B. A)
b aor
Plt) = %; bw b + Vn ‘ty a oy “¢ Qnv vA
os te 4
= 3 Ven Te cas(S- -F) + + Ve. Le leony
Compl Pvey
V,. =\y, 2% SIT ees |
Ta: Th LA
Problem S
Load LP
) » Qe. } ae |
)
0.0.5,
= (love KW + 51010 Vy) (4x0)
ie
= 434K VAy
> (745K + j070K)
Lb pf: corte
1946
= 0.864
Y Use Gonpla Bower
P\Q =VT" ¥
eT - Naw °
Pow -\ Qa
Q.=Q- Q la. Gh - ) | |,
=1020K-484K | .
—" 5 26K VAr genaaled by pei a
at
Qe A- JO.a -Q |
if
Sener Ha
48% love”
2-5 36 KVAr Consame d by capac hor
- 480_
420K[1 3061, banfer (0! vy rial
Z|
\\t) =0.9-99KA | Pia)
Ok
(7 (aan 25434
= 86.476 KVAr
Oya Ons #2 100.62 + 2h.
=150, @KWr
Pp
pf-——-2e gy
Vi t06)% (igo.ax”
b «) 2 ANI’
369
= Cobley fale TO
On _ ve
tv) Q.0-Q) -Q 1+@
\ Nele Consiskand sel of Unit