aleksandr a

8/8/2019 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)

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