Transmission Expansion Planning in Deregulated Power ... - tuprints

8 **Transmission** **Expansion** **Plann ing** Under Uncerta

$8/MWhr a new transmission l**in**e is suggested as expansion candidate, 12 candidates will

result. The set of transmission candidates is as bellow:

{do noth**in**g, l**in**e 1-3, l**in**e 1-4, l**in**e 1-7, l**in**e 1-8, l**in**e 5-3, l**in**e 5-4, l**in**e 5-7, l**in**e 5-8,

l**in**e 6-3, l**in**e 6-4, l**in**e 6-7, l**in**e 6-8 }

3) Comput**in**g fuzzy appropriateness **in**dex

Importance degrees of stakeholders’ desires from the viewpo**in**t of transmission planners (Ui)

were computed by aggregat**in**g importance degrees of stakeholders **in** decision mak**in**g (tables

7.2) and importance degrees of stakeholders’ desires from viewpo**in**t of different stakeholders

(table 7.3) us**in**g equation (7.3). Importance degrees of stakeholders’ desires from the

viewpo**in**t of transmission planners are given **in** table 7.4. Appropriateness degrees of

expansion plans versus stakeholders’ desire are computed for each scenario us**in**g the criteria

presented **in** section 7.2 and equations (7.1)-(7.2). Table 8.2 shows the appropriateness

degrees of expansion plans versus stakeholders’ desires **in** different scenarios. Network

charge and environmental impacts of expansion plans are the same **in** scenarios 1 to 4. Fuzzy

k

appropriateness **in**dex ( F ap ) for measur**in**g the goodness of expansion plans versus

comb**in**ation of all decision criteria is computed for each plan **in** each scenario by aggregat**in**g

importance degrees of stakeholders’ desires (tables 7.4) and appropriateness degrees of

expansion plans (table 8.2) us**in**g equation (7.7). Table 8.3 shows the fuzzy appropriateness

**in**dex of expansion plans **in** different scenarios. In this table the optimal plan of each scenario

was marked. All the rank**in**g methods select the same optimal plan.

4) Comput**in**g the fuzzy regret and select**in**g the f**in**al plan us**in**g fuzzy risk assessment

Fuzzy regret of each plan **in** each scenario is computed by consider**in**g occurrence degrees of

future scenarios us**in**g equation (8.1). Table 8.4 shows the fuzzy regret of expansion plans **in**

different scenarios. Fuzzy risk assessment is applied to table 8.4 for select**in**g the f**in**al plan.

Maximum regret, average regret, and degree of robustness of order one to five are computed

for each plan. Maximum regret, average regret, and degree of robustness of order one to five

will be as columns 2-8 of table 8.5, if convex comb**in**ation of right and left **in**tegral values

with α=0.5 is used for assign**in**g a crisp value to fuzzy regrets. Fuzzy appropriateness **in**dex

( F ) is computed for select**in**g the f**in**al plan by aggregat**in**g importance degrees of decision

k

ap

criteria (table 6.5) and appropriateness degrees of expansion plans versus decision criteria

(columns 2-8 of table 8.5). Column 9 of table 8.5 shows the appropriateness **in**dices. Convex

comb**in**ation of right and left **in**tegral values of fuzzy appropriateness **in**dices with α=0.5 are