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Phần 13 KHÓA ĐÀO TẠO TÍNH TOÁN ỔN ĐỊNH VÀ ỨNG DỤNG TRÊN PHẦN MỀM PSSE CHO KỸ SƯ HỆ THỐNG ĐIỆN (Các tính toán phân tích sự cố trên Phần mềm PSSE)

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TRANSMISSION &
DISTRIBUTION
A Division of Global Power
POWER SYSTEM STABILITY CALCULATION TRAINING
D5
FltAli
D
ay
5
-
F
au
lt

A
na
l
ys
i
s
July10,2013
Prepared by: Peter Anderson
eBook for You
OUTLINE
2
OUTLINE
• Symmetrical Components
• Sequence Impedances
• Analysis of Fault Conditions
RttifFlt


R
epresen
t
a
ti
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f

F
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s
eBook for You
SYMMETRICAL COMPONENTS
SYMMETRICAL

COMPONENTS
3
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SYMMETRICAL SEQUENCE COMPONENTS
4
SYMMETRICAL

SEQUENCE

COMPONENTS
Any given set of Unbalanced Three
-
phase Vectors
Any


given

set

of

Unbalanced

Three
phase

Vectors

can be represented by the sum of three sets of
Balanced or Symmetrical vectors
AA ACB
BC
B
C
PositiveSe
q
uence Ne
g
ativeSe
q
uence
Z
eroSe
q

uence
q
g q
q
eBook for You
RELATIONSHIPS BETWEEN PHASE
5
VECTORS & SEQUENCE COMPONENTS
A
Piti S
P
os
iti
ve
S
equence
1A1C1A
2
1B1A
aI=I,Ia=I,I
0
B
2
B
1
B
B
0A2A1AA
I
+

I
+
I
=
I
I+I+I=I
A
B
C
NegativeSequence
2
0C2C1CC
0
B
2
B
1
B
B
I+I+I=I
I
I
I
I
B
C
2A
2
2C2A2B2A
Ia=I,aI=I,I

2
021A
I
+
aI
+
I
a
=
I
I+I+I=I
B
C
ACB
ZeroSequence
0
A
0
C
0
A
0
B
0
A
I
=
I
,
I

=
I
,
I
02
2
1C
021B
I+Ia+aI=I
I
+
aI
+
I
a
=
I
0
A
0
C
0
A
0
B
0
A
I
I
,

I
I
,
I
eBook for You
SEQUENCE IMPEDANCES
SEQUENCE

IMPEDANCES
6
eBook for You
SEQUENCE IMPEDANCES
7
SEQUENCE

IMPEDANCES
SequenceCurrents&VoltagesareIndependentofeachother
•PositiveSe
q
uenceCurrentsonl
y

p
roducePositiveSe
q
uenceVolta
g
e
q y p q g
Drops

PositiveSequenceCurrentsaredeterminedsolelybythePositive
SequenceDrivingVoltagesproducedbythePowerSources,thePositive
SequencevoltageatthePointofFaultandtheSystemPositiveSequence
Impedance
NegativeSequenceCurrentsaredeterminedsolelybytheNegative
SequencevoltageatthePointofFaultandtheSystemNegativeSequence
Impedance
Impedance
ZeroSequenceCurrentsaredeterminedsolelybytheZeroSequence
voltage at the Point of Fault and the System Zero Sequence Impedance
voltage

at

the

Point

of

Fault

and

the

System

Zero


Sequence

Impedance
eBook for You
SEQUENCE IMPEDANCES
8
SEQUENCE

IMPEDANCES
ThePositiveSequenceNetworkcontainsthePositiveSequenceDriving
Volta
g
es
p
roducedb
y
thePowerSourcesandtheS
y
stemPositive
g p y y
SequenceImpedancestothePointofFault
TheNegativeSequenceNetworkcontainstheNegativeSequence
ImpedancesfromthePowerSourcestothePointofFault(NoDriving
Voltages)
Th Z S Nt k ti th Z S Id t
Th
e
Z
ero
S

equence
N
e
t
wor
k
con
t
a
i
ns
th
e
Z
ero
S
equence
I
mpe
d
ances
t
o
thePointofFaultandanyconnectionstoEarth(NoDrivingVoltages)
eBook for You
POSITIVE SEQUENCE IMPEDANCE
9
POSITIVE

SEQUENCE


IMPEDANCE
TransmissionLines
Ia
Ib
Ea
Eb
Ic
Ec
Z1=E/I
eBook for You
ZERO SEQUENCE IMPEDANCE
10
ZERO

SEQUENCE

IMPEDANCE
TransmissionLines
E
I
I
E
I
Z0=E/I
eBook for You
ZERO SEQUENCE IMPEDANCE
11
ZERO


SEQUENCE

IMPEDANCE
Transformers
I
I
E
I
I
I
I
I
I
Z0=E/I
Ampere‐turnsareequalineachHVandLVWinding
eBook for You
ZERO SEQUENCE IMPEDANCE
12
ZERO

SEQUENCE

IMPEDANCE
Transformers
I
I
L
I
E
I

I
I
I
H
L
I
I
n
Z0 n
H
L
eBook for You
ZERO SEQUENCE TRANSFORMER
13
CONNECTIONS
H L
A
A
B
B
ZO
B
B
SwitchesA&BinitiallyOPEN
ForGroundedWye Winding–CLOSESwitchA
ForDeltaWinding

CLOSESwitchB
eBook for You
ZERO SEQUENCE TRANSFORMER

14
CONNECTIONS
H
L
H
L
H
L
H
L
GroundedWye/Delta Delta/GroundedWye
H L
H L
T
Grounded
Wye
/Grounded
Wye
T
Grounded
Wye
/Grounded
Wye
/Delta
Grounded

Wye
/Grounded

Wye

Grounded

Wye
/Grounded

Wye
/Delta
eBook for You
ZERO SEQUENCE TRANSFORMER
15
CONNECTIONS
WARNINGNOTICE
0
0
H L
T
Yg Yg
HLPSSE
X
0
H‐N
N
X
0
L‐N
X0
T
N
D
T

Rg
3Rg
X0
T

N
H L
3Rg X0
H‐N
N
X0
L‐N
T
X0
T‐N
CORRECTMODEL
eBook for You
ANALYSIS OF FAULT CONDITIONS
ANALYSIS

OF

FAULT

CONDITIONS
16
eBook for You
ANALYSIS OF SHORT
CIRCUIT CONDITIONS
17

ANALYSIS

OF

SHORT
-
CIRCUIT

CONDITIONS
ThreePhaseFault
0
=
I
+
I
+
I
C
B
A
V
=
V
=
V
=
V
C
B
A

0
=
I
3
+
)
a
+
a
+
1
(
I
+
)
a
+
a
+
1
(
I
0=)I+Ia+aI(+)I+aI+Ia(+)I+I+I(
0
=
I
+
I
+
I

0
2
2
2
1
02
2
1021
2
021
C
B
A
V=ZIa‐ZIa‐Ea=V
V=ZI‐ZI‐E=V
V
=
V
=
V
=
V
2
2
1
1
22
B
2211A
C

B
A
0=I,0=)a+a+1(Since
0
=
I
3
+
)
a
+
a
+
1
(
I
+
)
a
+
a
+
1
(
I
0
2
0
2
1

V3=0=V+V+V
V=ZIa‐ZIa‐aE=V
CBA
22
2
11C
2
2
1
1
B
0=V=V=V
CBA
2
2
3
3
0=I
0=V)a‐1(=ZI)1‐a(=)ZIa‐ZIa‐Ea(‐)ZI‐ZI‐E(=aV‐V
2
22
2
22
2
11
3
3
2211BA
eBook for You
ANALYSIS OF SHORT

CIRCUIT CONDITIONS
18
ANALYSIS

OF

SHORT
-
CIRCUIT

CONDITIONS
Three Phase Fault
Three

Phase

Fault
0=I,0=I,
Z
E
=I
02
1
1
E
F1
Z1
F2
Z2 F0
Z0

eBook for You
ANALYSIS OF SHORT
CIRCUIT CONDITIONS
19
ANALYSIS

OF

SHORT
-
CIRCUIT

CONDITIONS
Single Phase to Ground Fault
Single

Phase

to

Ground

Fault
021
021
Z+Z+Z
E3
=I=I=I
0=I=I
0=V

CB
A
PhasetoPhaseFault
E
I
I
PhasetoPhasetoGroundFault
0
2
E
)
Z+Z
(
0=I
Z+Z
=
I
‐=
I
0
21
21
0
100221
0
2
1
EZ‐
=
I

ZZ+ZZ+ZZ
)
(
=I
2
0
100221
2
EZ‐
=I
ZZ+ZZ+ZZ
=
I
100221
0
ZZ+ZZ+ZZ
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REPRESENTATION OF FAULTS
REPRESENTATION

OF

FAULTS
20
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ANALYSIS OF SHORT
CIRCUIT CONDITIONS
21
ANALYSIS


OF

SHORT
-
CIRCUIT

CONDITIONS
Fault Positive Negative Zer o


F1
F2
F0
Ф‐E
F0F2F1
Ф‐Ф
F0F2F1
Ф‐Ф‐E
F0F2F1
eBook for You

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