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Transcript of Aleksandr A
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Aleksandra Kanevce, Ljupco Kocarev
Faculty of Electrical Engineering and Information Technologies,University Ss. Cyril & Methodius Skopje,
Republic of Macedonia
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Introduction The electric power system of Macedonia
The model of the electric power system of Macedonia
Typical examples
Conclusion
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Introduction Classification of energy models
The model analyses energy production and is based upon technical aspects
of the energy system and is concerned with meeting the requirements forequilibrium between energy supply and demand
The users have to make assumptions about the values of the parameters
The engineering approach of bottom up is used
The model can be classified as optimization and simulation model
The linear programming technique is applied
Geographical coverage is national
The model is intended for the analysis of energy production andconsumption in regions of Macedonia
Time period: short term
Input data: electricity demand and electricity generation and transmissioncapacities and prices.
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Our approach is based on the work: A. Quelhas, E. Gil, J. D.McCalley and S. M. Ryan, "A Multiperiod GeneralizedNetwork Flow Model of the U.S. Integrated Energy System:
Part IModel Description", IEEE TRANSACTIONS ONPOWER SYSTEMS, VOL. 22, NO. 2, MAY 2007
In this paper the authors presented the bottom-up model
that addresses a medium term operational horizon (severalmonths to 23 years) and follows an optimizationmethodology that captures the physical and environmentalrestriction of the coal, natural gas, and electricity flows.
We have modified and extended this work in severaldirections to include short-term (on daily basis) analysis ofthe Macedonian power system.
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The electric power system of Macedonia is operated
by four entities, namely: AD LEM, company for generation and supply of
electricity,
AD MEPSO Skopje, company for transmission ofelectricity and management with the electric powersystem of Macedonia,
The distribution companyEVN MacedoniaAD and AD TPP Negotino, company for electricity generation.
The electric power system of Macedonia
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Electricity generationTPP Pmin[MW]
Pmax[MW]
Fuel type
Bitola I 160 225 Lignite
Bitola II 160 225 LigniteBitola III 160 225 Lignite
Oslomej 90 125 Lignite
Negotino I 70 105 Heavy fuel oil
Negotino II 70 105 Heavy fuel oil
Total 710 1010
HPP Catch-
ment
Number
of units
Qinst/unit
[m3/s]
Hgross[m]
Volume
[106 m3]
Pinst[MW]
Vrutok Mavrovo 4 9 574 277 172Tikvesh Crna Reka 4 36 100 272 116
Globocica Crn Drim 2 27 110,9 228 42
Shpilje Crn Drim 3 36 95 212 84
Kozjak Treska 2 50 102 260 88
Raven Mavrovo 3 10,6 66 0 21,6
Vrben Mavrovo 2 4,6 193 0 12,8
Total 536
Basic parametersof TPPs
Basic
parametersof HPPs
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Basic parameters
of small HPPs inthe network ofEVN Macedonia
Small HPPs Pinst [MW]
Sapunchica 2,9
Kalimanci 13,8Zrnovci 1,4
Doshnica 4,1
Pesochani 2,7
Matka 9,6
MAK ROT program
Pena 2,5
Babuna 0,7
Belica 0,3
Turija 2,2Other EVN
Popova Shapka 4,8
Strezhevo 3,4Other companies
Komunalec 1,2
TOTAL 49,6
Voltage [kV] Length [km]
400 594
220 103
110 1480
Basic parameters ofhigh voltage powerlines
Generation and transmission ofelectricity
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GREECE
BULGARIA
SERBIA
ALBANIA
Kumanovo1
K.Palanka
Kratovo
Kochani
Delchevo
Berovo
Veles
Prilep1
Gevgelija
Kichevo
Struga
Ohrid1
ResenBitola2 400
Bitola 2 110
Tetovo 2Probishtip
Negotino
Polog
Kavadarci
Kumanovo2
Rafinery
[tip 1 110
[tip 1 400
[tip 2
M.Kamenica
Sushica
Valandovo
Dubrovo 400
HPP TikveshFeni
TPP Negotino
Prilep3
Prilep 2
O.PolePetrovec
Bitola 1
Suvodol
Bitola 4
Bitola 3
Sopotnica
Ohrid2
HEC Globocica
HPP Shpilje
Vrutok 220
Vrutok 110
Gostivar
Skopje 4 110
Skopje 4 400
Jugohrom
Tetovo1
Tearce
HPP Kozjak
Skopje 3
Skopje 2
Chervena Mogila
(Radomir)
KosovoA
Kosovo B
Skakavica
Petrich
Nish
HPP
Sv.Petka
HPP B. Most
Brod-Gneotino
Skopje 1 220
Skopje 1 110
Elbasan
HPP Vrutok
Vinica
Samokov
Centralna
Zgropolci
smelter
Veles2
RadovishBuchim
MACEDONIAN
ELECTRICITY
SYSTEM
OPERATOR
HPP Chebren
HPP Galishte
Mariovo400
Mariovo 110
UNMIK
Florina
Thesaloniki
Electric and power system of the
Republic of Macedonia
Planned situation with connection of
future HPPs
Substations
SS 400/110 kV/kV
SS 220/110 kV/kV
SS 110/x kV/kV
Power lines
400 kV
Planned
400 kV
interconnection
220 kV
110 kV
Planned
110 kV PL
Power plants
June 2008
Hydro PP
Thermal PP
TPP OslomejTPP Negotino
TPP Bitola
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Network diagram of the modelTPP BT1
225 MW
TPP BT3
3225 MW
HPP
586 MW
CHP
234 MW
CHP
30 MW
FTV
5 MW
WP
30 MWS HPP
10 MW
TPP OS
125 MW
SK
500 MW
KU
200 MW
and GV
200 MW FENI
20 MW
GE and SR
200 MW
BT
200 MW
OH
200 MW
ST
100 MW
TPP BT2
225 MWTPP NG
210 MW
Import
Export
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
22
51 52 5354
55 56 57
58
59
40
40
40
5045
48
0
0
0
40
60
60
6 9 9 3 6 1 2 3 0
3 6 1 3 9 6 6 6 0
1 3 3 3 9 6 9 3 0
1 3 3 3 9 6 9 3 0
6 9 9 1 3 6 9 1 0
6 9 3 6 9 6 3 6 0
3 6 6 1 3 6 9 1 0
3 2 4 5 8 9 12 3 0
1
Radovish
20 MW71
1
S HPP
8 MW
S HPP
9 MW
21 00
81
80
83
82
0
00
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Mathematical model of the electricpower system of Macedonia
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Adding new consumer - Radovish58
71
Adding small hydropower plant Ohrid80
81
57
The model solution
8071,5858,2258,2058,1858,1458,1058,858,658,4=+++++++ xxxxxxxxx
2071,58=x
981,80x
081,8057,81= xx
20057,8157,1257,2257,2057,1857,1457,1057,857,657,4=+++++++++ xxxxxxxxxx
Program for winter day
Mathematical model of the electricpower system of Macedonia
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Typical examplesWinter day
Winter day 2, very high electricity consumption
Winter night
Summer day Summer night
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Consumption in a winter day
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Electricity production in a winter day
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TPP BT 1
225 MW
TPP BT 3
225 MW
HPP
586 MW
CHP
234 MW
CHP
30 MW
FTV5 MW
WP
30 MWS HPP
10 MW
TPP OS
125 MW
SK
520 MW
KU
180 MW
TE and
GV
260 MW
FENI
20 MW
GE and
SR
190 MW
BT
220 MW
OH
160 MW
ST
80 MW
TPP BT 2
225 MWTPP NG
210 MW
Import
Export
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
22
51 52 5354
55 56 57
58
59
225
225
225384
234
30
5
30
8
125
140
Radovish
20 MW71
20
S HPP
8 MW
S HPP
9 MW
21 910
81
80
83
82
104
20
93
212 146
100
259
125
73
160
11
19
5 30 10
125
73
67
9
8
Link flow in a winter day
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Consumption in a winter day 2
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Electricity production in a winter day 2
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Electricity production in a winter night
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Consumption in a summer day
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Electricity production in a summer day
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Consumption in a summer night
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Electricity production in a summer night
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TPP BT
225 MW
TPP BT
225 MW
HPP
586 MW
CHP
234 MW
CHP
30 MW
FTV
5 MW
WPP
30 MWS HPP
10 MW
TPP OS
125 MW
SK
130 MW
KU
45 MW
TE and GV
65 MW FENI
5 MW
GE and
SR
48 MW
BT
55 MW
OH
40 MW
ST
20 MW
TPP BT
225 MWTPP NG
210 MW
Import
Export
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
22
51 52 5354
55 56 57
58
59
160160
18030
Radovish
5 MW71
5
S HPP
8 MW
S HPP
9 MW
21
81
80
83
82
60
18
5540
25117
5
7045
65
30
Link flow in a summer night
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ConclusionAn original model for solving a multidisciplinary
problem of Macedonian electric power system isdeveloped that can optimize and analyze every (real)state of the system.
Future works include
More detail analysis of the power system of Macedonia
Extending the model to larger regions and/or EU powergrid
Extending the model to E3 class of models (energy,ecology, economy)