Class notes for ECEN 406 Power Systems Analysis

Inductance = 2 .
10in (7) = = 7188 .

RtiWL
line models : --
Shari
-




Raw



= Raw
medium



-


it
-
7

ona

--2


Per
Single
Unit

Mase :Pr=actal ZO =I
Angles do not changeWith P .
U
. eniculations


3 Phuse
: 20 =


Vi =
same current base and impedence base

Zeu nor = Zerold .




(Vdv

, Ped = Voloso l zo
= seri 10
a
Scose
Sin =
= P
Q
=R

Rp =
Parallel
B O= cosPF P
=
XP
= Power/Load flow
using steady state analysis to analize system.
A function is linear If curpur is proportional
to in Pur . (scalability
Use 12 as initial fress for Saving

Gauss Memod

1 .
Sci X = H(X)
.
2 select initial duess for H(X %
.
7 Iterate with H(")

Admittance Matrix or Yous (EGi-toi =
Fil
Power Balance Equations


SiVi
-




Yous .
V= / =
Poi-Pil + ioi-Qoil
fors"I "
= V
Yik = GivtiPik Yous I =
v

I
-
Yous . V =

, Slack bus : Fixed Verrage ,
varing Jeal and
reacive Power

Load bus : Pana Q are constant, Iterate for
Voltage.


PV bus : Generator bus ,
Fixed Voltage. reactive
Power 1 : Mitr



Newten Raphson
Tacobian Manix : Run Marix of Partial derivatives



MI
ex
gress
.




(i) (x) =
[F A
To apply to power Problems ,
define

Pie Poi-Poi Apk =
Piexperied Piactual
-




&
Q= QK
Qui-Qui =
Qi expected Qi actual
-