Transmission Expansion Planning in Deregulated Power ... - tuprints

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Transmission Expansion Planning in Deregulated Power ... - tuprints

7 Stakeholders’ Desires 97

7.5 Case Study: IEEE 30 Bus Test System

The proposed approach is applied to IEEE 30 bus test system [62], [64]. Figure 5.1 shows the

single line diagram of IEEE 30 bus system. Data of generators, loads, and transmission lines

are given in tables 5.2-5.4. Consider the single scenario case which was described in section

5.3.1. PDFs of LMPs were computed for the peak load of planning horizon of existing

network in section 5.3.1. If between each two buses that have average LMP difference greater

than $5/MWhr a new transmission line suggested as expansion candidate, we have 89

decision alternatives including alternative “do nothing”. Stakeholders and their desires are

weighted according to tables 7.2 and 7.3. Importance degrees of decision criteria (desires)

from the viewpoint of transmission planners ( U i ) are obtained by aggregating tables 7.2 and

7.3. Table 7.4 shows the importance degrees of decision criteria from the viewpoint of

transmission planners. In this table the importance degree of each criterion is a triangular

fuzzy number. Appropriateness degrees of expansion plans versus competition, reliability,

flexibility of operation, network charge, and environmental impacts are computed using the

criteria described in section 7.2. Average congestion cost is used to measure the competition.

Columns 3-7 of table 7.5 show the appropriateness degrees of expansion plans versus

different decision criteria. Fuzzy appropriateness index ( F ) was computed by aggregating

importance degrees of decision criteria from the viewpoint of transmission planners (table

7.4) and appropriateness degrees of expansion plans versus decision criteria (columns 3-7 of

table 7.5). Fuzzy appropriateness indices are shown in column 8 of table 7.5. Fuzzy

appropriateness indices were ranked using different methods. Convex combination of right

and left integral values with α=0.5 is shown in column 9 of table 7.5. All ranking method

show that plan 3 i.e. line 1-10 has the greatest fuzzy appropriateness index and is selected as

optimal plan. If the capacity of this line be greater than 325 MW, then the probability of

violating its limit is less than one percent.

Table 7.4 - Importance degrees of decision criteria form viewpoint of transmission planners

Desire Importance degree

Competition (0.1125, 0.3125, 0.5375)

Reliability (0.1250, 0.3875, 0.6625)

Flexibility of Operation (0.0750, 0.2875, 0.6000)

Network Charge (0.1125, 0.3250, 0.6250)

Environmental Impacts (0.0375, 0.1250, 0.3250)

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