4.3 External Network Modelling
-
Upload
mohammedsaadanihassani -
Category
Documents
-
view
219 -
download
0
Transcript of 4.3 External Network Modelling
-
8/14/2019 4.3 External Network Modelling
1/25
4.3.14.3 External network modelling
The interconnected system of Europe in 1995
-
8/14/2019 4.3 External Network Modelling
2/25
Observable network
External network
Externalnetwork
Externalnetwork
Internal network
4.3.24.3 External network modelling
Line outage
-
8/14/2019 4.3 External Network Modelling
3/25
Generator outage Observable network
4.3.34.3 External network modelling
-
8/14/2019 4.3 External Network Modelling
4/25
b) Outage of ageneration unit
Deviation of frequency Net tie line interchanges
a) Normal operation
4.3.44.3 External network modelling
Frequency and power deviation in the UCPTE network
-
8/14/2019 4.3 External Network Modelling
5/25
Real-time security analysis
4.3 External network modelling 4.3.5
State
Estimation
Modelof
external system
Security
analysis
Security constraints: met not met
Networkequivalent
State vector
Location ofbad data
J(x), E{J(x)}
Network topology
Measurements
Variance of mea-surement errors
Network parameter
Contingency set lines transformers generation units
Exeeding limits:
Ith
Vmin, Vmax
Imax
-
8/14/2019 4.3 External Network Modelling
6/25
-
8/14/2019 4.3 External Network Modelling
7/25
Observable network
External network
External
network
External
networkInternal network
Network region Available information
Observable network:- Internal nodes- Boundery nodes
Measurements, on-off status quantities, transformator
tap-settings, network parameter, Vi, i (via stateestimation)
External network:- External nodes
Network topology (standard topology),network parameter
Available information
4.3 External network modelling 4.3.7
-
8/14/2019 4.3 External Network Modelling
8/25
[ ][ ] [ ] [ ]SVYVdiag =
E: external; B: boundary; I: internal
=
I
B
E
I
B
E
IIIB
BIBBBE
EBEE
I
B
E
S
S
S
V
V
V
YY0
YYY
0YY
V
V
V
diag
[ ][ ] [ ]
[ ][ ] [ ]
[ ][ ] [ ] )3.1(SVYVYVdiag
)2.1(SVYVYVYVdiag
)1.1(SVYVYVdiag
IIIIBIBI
BIBIBBBEBEB
EBEBEEEE
=+
=++
=+
4.3 External network modelling 4.3.8
-
8/14/2019 4.3 External Network Modelling
9/25
[ ] [ ] [ ]
[ ] [ ] [ ] [ ]
[ ] [ ] [ ] [ ] [ ]{ }
[ ] [ ] [ ] [ ] [ ]{ }BEB*
E
*
E1
1
EEE
BEBEE
11
EEE
BEBEE
1
EEE
EE
1
BEBEEE
VYSVdiagYV
VYSVdiagYV
VYSVdiagVY
SVdiagVYVY
=
=
=
=+
Elimination of [VE] using eq. (1.1)
Introducing [VE] in eq. (1.2)
[ ] [ ] [ ] [ ][ ] [ ] [ ]
[ ] [ ] [ ] [ ] } [ ]B
*
I
*
BI
*
B
*
BB
B
*
EBEE
11
EE
*
BEB
SVYVY
VYSVdiagYYVdiag
=++
4.3 External network modelling 4.3.9
-
8/14/2019 4.3 External Network Modelling
10/25
[ ] [ ]{ [ ] [ ] [ ] [ ] [ ] [ ] [ ]
[ ] [ ][ ] [ ] [ ][ ]EE
11
EE
*
BEBB
*
I
*
BI
*
B
*
EB
1
EE
*
BE
*
B
*
BBB
SVdiagYYVdiagS
VYVYYYVYVdiag
=
+
[ ] [ ] [ ] [ ] [ ] [ ]eqBIBIB
eq
BBB SVYVYVdiag =+
[ ] [ ] [ ][ ] [ ]
[ ] [ ] [ ][ ] [ ] [ ][ ]EE
11
EE
*
BEBB
eq
B
EB
1
EEBEBB
eq
BB
SVdiagYYVdiagSS
YYYYY
=
=
we can write:
With the definitions
4.3 External network modelling 4.3.10
-
8/14/2019 4.3 External Network Modelling
11/25
[ ] [ ] [ ][ ] [ ]
[ ] [ ] [ ] [ ] [ ] [ ][ ] )4.2(SVdiagYYVdiagSS
)3.2(YYYYY
EE
11*
EEBEBB
eq
B
EB
1
EEBEBB
eq
BB
=
=
Power flow equations after transformation:
)2.2(
)1.2(
S
S
V
V
YY
YY
V
V
diag I
eq
B
I
B
IIIB
BI
eq
BB
I
B
=
With definitions:
4.3 External network modelling 4.3.11
-
8/14/2019 4.3 External Network Modelling
12/25
[ ] [ ] [ ] [ ] [ ] [ ]*I
*
BI
*
B
*eq
BBB
eq
B VYVYVdiagS +=
On-line application:
Topology and network parameters of external, boundary and
internal network are known; so can be determined
using Eq. (2.3):
eq
BBY
[ ] [ ] [ ][ ] [ ]EB
1
EEBEBB
eq
BB YYYYY
=
of boundary and internal network are known as a
result of state estimation; therefore can be determined
using Eq. (2.1):
IB V,V eqBS
of external network are unknown; so the calculation
of with the use of Eq. (2.4) is not possible.
EE V,S
[ ]eqBS
[ ] [ ] [ ] [ ] [ ] [ ][ ]EE11*
EEBEBBeqB SVdiagYYVdiagSS
=
4.3 External network modelling 4.3.12
-
8/14/2019 4.3 External Network Modelling
13/25
passive part:equivalent branchesequivaltent shunts
active part:equivalent injections
Internal network
eqi
eqi jQP +
eq
iky
eq0iy
eqi
eqi jQP +
eqikyeq0iy
4.3 External network modelling 4.3.13
Equivalent representation of the external network
-
8/14/2019 4.3 External Network Modelling
14/25
4.3 External network modelling 4.3.14
German system with external network
-
8/14/2019 4.3 External Network Modelling
15/25
4.3 External network modelling 4.3.15
German system with equivalent for external network
Equivalentbranches
Equivalentinjections
-
8/14/2019 4.3 External Network Modelling
16/25
Variation in time of Peq
in boundary nodes (January 9th
1979)
4.3 External network modelling 4.3.16
-
8/14/2019 4.3 External Network Modelling
17/25
Bus admittance matrix:
Elimination of external nodes:
E: ExternalB: BounderyI: Internal
4.3 External network modelling 4.3.17
Reduction of the external network
-
8/14/2019 4.3 External Network Modelling
18/25
Internal network
2359.0j0890.0Z17 +=
2691.0j0973.0Z27 +=
1847.0j0387.0Z25 +=
2807.0j1068.0Z18 +=
2372.0j0497.0Z58 +=
1465.0j0529.0Z45 +=
2196.0j0460.0Z38 +=
1736.0j0364.0Z43 +=
2442.0j0511.0Z46 +=
2763.0j0579.0Z56 +=
Example of external network reduction
4.3 External network modelling 4.3.18
-
8/14/2019 4.3 External Network Modelling
19/25
Busadmittancematrix
Example
4.3 External network modelling 4.3.19
-
8/14/2019 4.3 External Network Modelling
20/25
1st stepExample
4.3 External network modelling 4.3.20
-
8/14/2019 4.3 External Network Modelling
21/25
2nd stepExample
4.3 External network modelling 4.3.21
-
8/14/2019 4.3 External Network Modelling
22/25
3rd stepExample
4.3 External network modelling 4.3.22
-
8/14/2019 4.3 External Network Modelling
23/25
4th stepExample
4.3 External network modelling 4.3.23
-
8/14/2019 4.3 External Network Modelling
24/25
5th stepExample
4.3 External network modelling 4.3.24
-
8/14/2019 4.3 External Network Modelling
25/25
Example of external network reduction
Internal network
3520.0jZ eq78 =
3213.0jZeq68 =
0380.1jZ eq67 =
Equivalent branches(Reactance reduced)
4.3 External network modelling 4.3.25