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 37<br />
Fig. 4.4 – Price profile of the 8-bus network<br />
Therefore, customer buy and sell energy at less discrim<strong>in</strong>ative prices and consequently<br />
competition is encouraged. As the price profile deviate from the flatness, differences among<br />
the mean of LMP of different buses <strong>in</strong>crease, customers buy and sell at more discrim<strong>in</strong>ative<br />
prices, and consequently competition is discouraged. Therefore, the flatness of price profile is<br />
a proper criterion for measur<strong>in</strong>g the competitiveness degree of electric markets.<br />
4.2.2.1 Standard Deviation of Mean of Locational Marg<strong>in</strong>al Price<br />
Consider figure 4.3, mean of LMP of each bus is specified with a bar over it. Standard<br />
deviation of mean of LMP <strong>in</strong> the presence of plan k, where mean is taken over Nr samples and<br />
standard deviation is taken over Nb buses, is given by:<br />
σ µ<br />
k<br />
lmp<br />
=<br />
1<br />
Nb<br />
∑ Nb −1<br />
i=<br />
1<br />
(<br />
µ<br />
k<br />
lmpi<br />
−<br />
µ<br />
k 2<br />
lmp )<br />
with:<br />
k σ<br />
µ<br />
standard deviation of mean of LMP <strong>in</strong> the presence of plan k <strong>in</strong> $/MWhr<br />
lmp<br />
k<br />
lmpi<br />
(4.8)<br />
µ mean of LMP of bus i over Nr samples <strong>in</strong> the presence of plan k <strong>in</strong> $/MWhr<br />
k µ lmp mean of<br />
k µ lmp over Nb buses <strong>in</strong> $/MWhr (average LMP of the network)<br />
i