Bus 1: V₁=1.0,8₁=0 Bus 2: V₂=1.04, PG2=1.0 P₁=0.3,Q=0.1 Bus 3: P=0.5, Q₁,-0.3 10.2 10.1 10.1 10.4 10.5 10.3 10.3 10.3

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Please check my work for calculating y-bus matrix in rectangular and polar form
Ha) Types of Buses:
Bus 1
Bus 2:
Slack bus, known: (v, Dangle) Unknown (P₁0)
PV bus, Knowns (V, P, Q) Unknown ( angle)
PQ bur, Knowns: (P,Q) unknowns: (v, & angle)
Y-bus in rectangular and polar coordinates:
Bus 3:
Y = = ==—=₁ Y = admittance, z = impedance
I
Y₁ = j2 +j2.5+j10+ j5 = j19.5
Y₁2 = -√2
Y13 j25
Y21 = -√2
422 12+13.3+1 3.3 = 8.6
123= -3.3
Y31= -√25
132-13.3
133 13.3+ 12.5+'; 3.3 1 j10 =j 19.1
:
YBUS=
:
Y11 Y₁2 Y₁3
Y21 Y22 123
Y 31 32 33
√
YBUS 19.5
12 -ja-s
ja j8.6 -j3.3
-j2.5-j3.3 19.1
Y BUS=
19.5290 22-90
२८-१०
8.6290
2.52-90 3.32-90
2.52-90
3.3 L-90
19.1290
Transcribed Image Text:Ha) Types of Buses: Bus 1 Bus 2: Slack bus, known: (v, Dangle) Unknown (P₁0) PV bus, Knowns (V, P, Q) Unknown ( angle) PQ bur, Knowns: (P,Q) unknowns: (v, & angle) Y-bus in rectangular and polar coordinates: Bus 3: Y = = ==—=₁ Y = admittance, z = impedance I Y₁ = j2 +j2.5+j10+ j5 = j19.5 Y₁2 = -√2 Y13 j25 Y21 = -√2 422 12+13.3+1 3.3 = 8.6 123= -3.3 Y31= -√25 132-13.3 133 13.3+ 12.5+'; 3.3 1 j10 =j 19.1 : YBUS= : Y11 Y₁2 Y₁3 Y21 Y22 123 Y 31 32 33 √ YBUS 19.5 12 -ja-s ja j8.6 -j3.3 -j2.5-j3.3 19.1 Y BUS= 19.5290 22-90 २८-१० 8.6290 2.52-90 3.32-90 2.52-90 3.3 L-90 19.1290
Bus 1: V₁=1.0,8₁=0
Bus 2: V₂=1.04, PG=1.0
P₁=0.3, Q₁=0.1
Bus 3: P=0.5, Q₁,-0.3
10.2
101
10,1
10.4
10.5
10.3
10.3
10.3
Transcribed Image Text:Bus 1: V₁=1.0,8₁=0 Bus 2: V₂=1.04, PG=1.0 P₁=0.3, Q₁=0.1 Bus 3: P=0.5, Q₁,-0.3 10.2 101 10,1 10.4 10.5 10.3 10.3 10.3
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