Transmission Expansion Planning in Deregulated Power ... - tuprints

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Transmission Expansion Planning in Deregulated Power ... - tuprints

3 Probabilistic locational Marginal Prices 25

28.8

235.7

575.2 G5

G6

L6

Mean of Power in MW

3.3 Case Study

6

17.17

17.72

5

148.7

58.2

238.5

188.0

136.9

limit=200

limit=140

189.5 20.95 5.2

Fig. 3.3 - Test system: eight bus network

TL4

4 98.8

16.38 1 2 3

G1,1 81.3

G2,1 (IPP)

64.8

TL2

98.8

L2

283.1

L3 25.20

G3 285.3

305.9

Mean of LMP in $/MWhr

The presented approach is applied to the eight-bus network shown in figure 3.3. Data of

generation, demand, and power of tie-lines for the peak load of planning horizon are given in

tables 3.1, 3.2, and 3.3. Parameters of transmission lines are given in table 3.4. As show tables

3.1-3.3, a normal (Gaussian) PDF is assigned to the bid of each generator, power of each IPP,

28.29

Table 3.1 - Generation data of the 8-bus network

Gen. No. Name Bus No. Type Min Max (MW) Bid ($/MWhr) Unavailability

1 G1,1 1 Gen 0 110 N~(14, 2.5) 0.02

2 G2,1 1 IPP 0 N~(100,20) N~(15, 1.8) 0.02

3 G3 3 Gen 0 520 N~(25, 1.5) 0.02

4 G4 4 Gen 0 250 N~(30, 2) 0.02

5 G5 5 Gen 0 600 N~(10, 3) 0.02

6 G6 6 Gen 0 400 N~(20, 2.1) 0.02

7 G7 7 Gen 0 200 N~(20, 1.5) 0.02

53.9

31.4

Table 3.2 - Loads data of the 8-bus network

Load No. Name Bus No. Load (MW) Bid ($/MWhr) Unavailability

1 L2 2 N~(300, 10) 30 0.05

2 L3 3 N~(300, 12) 32 0.05

3 L4 4 N~(300, 15) 35 0.05

4 L6 6 N~(250, 25) 28 0.05

5 L8 8 N~(250, 25) 35 0.05

L4

158.3

79.7

G4

281.6

78.0

27.43

7

26.30

L8

8

G7

238.0

189.7

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