Calculos en Por Unidad - Complejos Con Excel
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Transcript of Calculos en Por Unidad - Complejos Con Excel
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^ Sistema en por unidad
Formulacin
Valores Base Cambio de Ba
IB = SB/(3*UB)
ZB = UB/(3*IB) = (UB)^2/(SB) z' = z*(S'/S)*(
SB 100 MVA 100 MVA
VB 13.2 kV 110 kV
IB 4373.87 A 524.86 A
ZB 1.7424 ohm 121 ohm
a) Impedancias:
ZONA I
Xg(pu) = 0.1 Xg' = 0.166666667 j
SB = 60
VB = 13.2
ZONA II
ZT1 (pu)= 0.1 ZT1' = 0.166666667 jSB = 60
VB = 110
ZL 20 + j 50 ZL (pu) = 0.165289256 + j 0.413223
ZONA III
XT2 (pu) = 0.11 XT2' = 0.183333333 j
SB = 60
VB = 6
b) u1 = 1.05 0
S1 = 50 + j 10 MVA
S1 = 50.990195111.309932
S1(pu) = 0.5099019511.309932
I*(pu) = 0.48562091 11.309932
I(pu) = 0.48562091 -11.309932
ZONA I
(Generacin)
ZONA II
(Transmisin)
MOTOR
T1
T2
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IL = 254.884873 -11.309932 A
c) Eg (pu) = u1 + I1*Xg (pu)
Eg = +
Eg = 1.05 0 + 0.485620906 -11.30993
Eg = 1.05 0 + 0.080936818 78.690068
Eg = 1.05 + j 0 + 0.015873016 + j 0.079365
Eg = 1.06587302 + j 0.079365Eg = 1.0688237 4.2583948
d) u4 ?
u4 = u1 - i1*Z(1-4)
Z(1-4) = ZT1 + ZL + ZT2
Z(1-4) = +
Z(1-4) = 0 + j 0.166667 + 0.165289256 + j 0.413223
Z(1-4) = 0.16528926 + j 0.763223
Z(1-4) = 0.7809161977.78031
ZT1 ZL
u1 I1
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se
/V')^2
100 MVA
6 kV
9622.50 A
0.36 ohm
ZONA III
(Carga)
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*
* 0.16666667 90
+
+ 0 + j 0.183333
ZT2
Xg
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^ Sistema en por unidad
Formulacin
Valores Base Cambio de Ba
IB = SB/(3*UB)
ZB = UB/(3*IB) = (UB)^2/(SB) z' = z*(S'/S)*(
SB 100 MVA 100 MVA
VB 33 kV 330 kV
IB 1749.55 A 174.95 A
ZB 10.89 ohm 1089 ohm
a) Impedancias:
ZONA I
Xg(pu) = 18% Xg' = 0.088888889
SB = 90
VB = 22
Xg(pu) = 10% Xg' = 0.088888889
SB = 50
VB = 22
Xg(pu) = 6% Xg' = 0.066666667
SB = 40
VB = 220
Xg(pu) = 6.4% Xg' = 0.071111111
SB = 40
VB = 22
Xg(pu) = 8% Xg' = 0.088888889 j
SB = 40
VB = 110
Xg(pu) = 18.5% Xg' = 0.111587302 j
SB = 66.5
VB = 10.45
M
G
T1
T2
T3
ZONA I
(Generacin)
ZONA II
(Transmisin)
T4
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ZL1 0 + j 48.4 ZL1 (pu) = 0 + j 0.044444
ZL2 0 + j 65.43 ZL2 (pu) = 0 + j 0.240331
V4 10.45 kV u4 (p.u) = 0.633333333
i'(motor) = 1.05 36.869 i'(motor) = 0.84000987
I (motor) = 3674.04717 A
i' ( carga) = 0.9-53.13 i' ( carga) = 0.54000129
3149.18329
i2 + i3 = 1.38001116
i2 + i3 = 1.38294359
ZII + j 0.2
ZIII + j 0.400331
u1 = 0.184443248 86.268129 + 0.63333333
u1 = 0.01200493 + j 0.184052 + 0.63333333
u1 = 0.645338264 + j 0.184052
u1 = 0.671071284 15.918287
V1 = 22.14535237 15.918287
Eg (pu) = 0.633333333 0 + -0.11716667
Eg (pu) = 0.633333333 + j 0 + 0.0703
Eg (pu) = 0.703633333 -+ j 0.09373
Eg (pu) = 0.709849143 -7.587887
23.42502171
ZONA II
ZT1 (pu)= 0.1 ZT1' = 0.018518519 j
SB = 60
VB = 110
ZL 20 + j 50 ZL (pu) = 0.018365473 + j 0.045914
ZONA III
XT2 (pu) = 0.11 XT2' = 0.000242424 j
SB = 60
VB = 6
T1
T2
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b) u1 = 1.05 0
S1 = 50 + j 10 MVA
S1 = 50.990195111.309932
S1(pu) = 0.5099019511.309932
I*(pu) = 0.48562091 11.309932
I(pu) = 0.48562091 -11.309932
IL = 84.9616245 -11.309932 A
c) Eg (pu) = u1 + I1*Xg (pu)
Eg = +
Eg = 1.05 0 + 0.485620906 -11.30993
Eg = 1.05 0 + 0.043166303 78.690068
Eg = 1.05 + j 0 + 0.008465608 + j 0.042328
Eg = 1.05846561 + j 0.042328
Eg = 1.05931162 2.2900381
d) u4 ?u4 = u1 - i1*Z(1-4)
Z(1-4) = ZT1 + ZL + ZT2
Z(1-4) = +
Z(1-4) = 0 + j 0.018519 + 0.018365473 + j 0.045914
Z(1-4) = 0.01836547 + j 0.064675
Z(1-4) = 0.0672316774.147192
u1 I1
ZT1 ZL
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se
/V')^2
100 MVA 100 MVA
165 kV 16.5 kV
349.91 A 3499.09 A
272.25 ohm 2.7225 ohm
FP 0.8 0.6
36.8698976 53.1301024
ZONA IV
(Carga)
ZONA III
(Carga)
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+ j 0.629987
-+ j 0.72
-+ j 0.09001
-3.731871
i3 = 0.49958712 i2
i2 + i3 = 1.49958712 * i2
i2 = 0.92221624-3.731871I2 = 161.345998-3.731871
0
+ j 0
126.8699
-+ j 0.09373
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*
* 0.08888889 90
+
+ 0 + j 0.000242
Xg
ZT2