Transmission Expansion Planning in Deregulated Power ... - tuprints
Transmission Expansion Planning in Deregulated Power ... - tuprints
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.