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Transmission Expansion Planning in Deregulated Power ... - tuprints

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4 Market Based Criteria 40<br />

is used as plann<strong>in</strong>g criterion, the plan which m<strong>in</strong>imizes the sum of weighted square errors<br />

between mean of LMP of load buses and average LMP of the network is selected as the f<strong>in</strong>al<br />

plan. Therefore, this criterion decreases price discrim<strong>in</strong>ation among load buses and hence<br />

provides a non-discrim<strong>in</strong>atory environment for consumers. This criterion assigns greater<br />

weight to the buses which have greater load. Hence, this criterion tries to provide a nondiscrim<strong>in</strong>atory<br />

environment for more loads. S<strong>in</strong>ce this criterion assigns weight zero to the<br />

buses that do not have load, it does not encourage competition among producers necessarily.<br />

4.2.2.4 Weight<strong>in</strong>g with Sum of Mean of Generation <strong>Power</strong> and Load<br />

The mean of sum of generation power and load at bus i is given by:<br />

with:<br />

Nr<br />

k 1 k k<br />

µ ( P = ( + )<br />

g + P P<br />

)<br />

g P<br />

i<br />

i,<br />

j d for i=1, 2,…, Nb (4.15)<br />

d<br />

i,<br />

j<br />

i N<br />

k<br />

gi<br />

di<br />

P ( P + )<br />

∑<br />

r j=<br />

1<br />

µ mean of sum of generation power and load at bus i after add<strong>in</strong>g plan k <strong>in</strong> MW<br />

If the weighted standard deviation of mean of LMP with the weight:<br />

k k<br />

w i ( Pg<br />

+ P i d<br />

)<br />

i<br />

= µ for i=1, 2,…, Nb (4.16)<br />

is used as plann<strong>in</strong>g criterion, the plan which m<strong>in</strong>imizes the sum of weighted square errors<br />

between mean of LMP of each bus and average LMP of the network is selected as the f<strong>in</strong>al<br />

plan. Therefore, this criterion decreases price discrim<strong>in</strong>ation among all customers and hence<br />

provides a non-discrim<strong>in</strong>atory competitive environment for them. This criterion assigns<br />

greater weight to the buses which have greater sum of load and generation. Hence, this<br />

criterion tries to provide a competitive environment for more loads and generations.<br />

4.2.3 Load Payment<br />

Form the viewpo<strong>in</strong>t of power consumers total payment for buy<strong>in</strong>g power, i.e. total generation<br />

receives plus total congestion cost, is important. Hence, average of total load payment can be<br />

used as a criterion for transmission expansion plann<strong>in</strong>g. Average of total load payment dur<strong>in</strong>g<br />

the peak load of plann<strong>in</strong>g horizon after add<strong>in</strong>g plan k is equal to:<br />

Nr<br />

Nb<br />

k 1<br />

k k<br />

µ = ∑∑Pd<br />

lmp<br />

tlp<br />

i j<br />

i,<br />

j<br />

(4.17)<br />

N<br />

,<br />

r<br />

j=<br />

1 i=<br />

1

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