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Transmission Expansion Planning in Deregulated Power ... - tuprints

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4 Market Based Criteria 47<br />

σ<br />

σ<br />

σ<br />

σ<br />

k<br />

µ lmp<br />

k<br />

µ lmp , w= Pg<br />

k<br />

µ lmp<br />

, w= Pd<br />

k<br />

µ lmp , w d<br />

= Pg+<br />

P<br />

Exist<strong>in</strong>g<br />

Network<br />

Plan 1<br />

(l<strong>in</strong>e: 1-4)<br />

Plan 2<br />

(l<strong>in</strong>e: 2-4)<br />

Plan 3<br />

(l<strong>in</strong>e: 5-4)<br />

Plan 4<br />

(l<strong>in</strong>e: 2-3)<br />

Plan 5<br />

(l<strong>in</strong>e: 5-3)<br />

Selected Plan<br />

(l<strong>in</strong>e: ? - ?)<br />

4.9381 2.8802 5.0796 2.4649 4.8475 3.5199 3 (5 – 4)<br />

2.0248 1.4028 2.1103 0.9712 2.0426 1.2166 3 (5 – 4)<br />

1.7953 1.0926 1.7824 0.9406 1.7105 1.4536 3 (5 – 4)<br />

2.7061 1.7781 2.7623 1.3521 2.6642 1.8955 3 (5 – 4)<br />

k µ<br />

tcc<br />

4510 4524 4384 3677 4505 3509 5 (5 – 3)<br />

k µ<br />

tlp<br />

32280 31846 31766 31729 32604 31741 3 (5 – 4)<br />

k<br />

** Dimension of σ is $/MWhr, and Dimension of<br />

µ ,<br />

lmp w<br />

k µ and<br />

tcc<br />

k µ is $/hr.<br />

tlp<br />

hence from the viewpo<strong>in</strong>t of this criterion plan 3 is selected as the f<strong>in</strong>al plan. Now the<br />

follow<strong>in</strong>g questions arise:<br />

• Which criterion does provide the best environment for competition? On the other word,<br />

less congestion cost leads to more competitive environment or smaller weighted<br />

standard deviation of mean of LMP?<br />

• Table 4.1 shows that after <strong>in</strong>stall<strong>in</strong>g plan 3 or 5 there is considerable congestion cost<br />

and LMP difference. Therefore, to have a perfect competitive market other l<strong>in</strong>es must<br />

be added to the network. The question is which criterion leads to a perfect competitive<br />

market at m<strong>in</strong>imum cost or at m<strong>in</strong>imum number of expansion plans.<br />

k k<br />

k<br />

k<br />

• In this example σ , σ , σ , σ , and<br />

µ lmp µ lmp , w= Pg<br />

µ , = P µ lmp , w= Pg+<br />

Pd<br />

lmp<br />

w d<br />

to the same result. Do they lead to the same result always?<br />

k µ lead<br />

tlp<br />

Although the above questions do not have absolute answers and their answers depend on<br />

the network structure, we try to make their answers more clear with an example after<br />

present<strong>in</strong>g an approach for transmission expansion plann<strong>in</strong>g <strong>in</strong> the next chapter.

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