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Transmission Expansion Planning in Deregulated Power ... - tuprints

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7 Stakeholders’ Desires 95<br />

Table 7.2- Importance weights of stakeholders <strong>in</strong> decision mak<strong>in</strong>g<br />

<strong>Power</strong> Demand System Network<br />

Stakeholders<br />

Producers Customers Operator Owners Regulator<br />

Weight of importance L H L M M<br />

Table 7.3- Importance degrees of stakeholders’ desires from viewpo<strong>in</strong>t of stakeholders<br />

Network Environmental<br />

Competition Reliability Flexibility Charge Impacts<br />

<strong>Power</strong> Producers VI I PI PI U<br />

Demand Customers VI VI I I U<br />

System operator LI VI VI LI U<br />

Network Owners U PI LI VI LI<br />

Regulator. VI VI I I VI<br />

7.4.1.2 Appropriateness Degrees of <strong>Expansion</strong> Plans Versus Stakeholders’ Desires<br />

Suppose<br />

k<br />

C i for i=1, .., 5 is the criterion which is used for measur<strong>in</strong>g competition (i=1),<br />

reliability (i=2), operation flexibility (i=3), network charge (i=4), and environmental impacts<br />

(i=5) of plan k. Smaller values of all these criteria <strong>in</strong>dicate better conditions. Hence, <strong>in</strong>verse of<br />

these criteria are used to measure the appropriateness degrees of expansion plans:<br />

A = 1/<br />

C for i=1, …, Nsd (7.1)<br />

k<br />

i<br />

with:<br />

k<br />

i<br />

k<br />

A i appropriateness degree of plan k versus criterion i<br />

Nsd number of stakeholders’ desires<br />

For aggregat<strong>in</strong>g the appropriateness degrees of expansion plans versus different decision<br />

criteria, the appropriateness degrees must be comparable versus different decision criteria.<br />

Therefore,<br />

k<br />

A i is normalized on its maximum value over different expansion plans.<br />

k k<br />

k<br />

N = A / max(<br />

A ) for i=1, 2, …, Nsd (7.2)<br />

with:<br />

i<br />

i<br />

k<br />

i<br />

k<br />

N i normalized appropriateness degree of plan k versus decision criterion i<br />

7.4.1.3 Fuzzy Appropriateness Index<br />

Let Xj∈X is the importance weight of stakeholder j <strong>in</strong> decision mak<strong>in</strong>g and Yij is the<br />

importance degree of desire i from the viewpo<strong>in</strong>t of stakeholder j. The importance degree of<br />

desire i from the viewpo<strong>in</strong>t of transmission planners is equal to the weighted mean of Yij i.e.:

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