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Transmission Expansion Planning in Deregulated Power ... - tuprints

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3 Probabilistic locational Marg<strong>in</strong>al Prices 16<br />

LMP<br />

node depends on:<br />

• marg<strong>in</strong>al cost of generators,<br />

• operat<strong>in</strong>g po<strong>in</strong>t of the system, and<br />

• transmission network constra<strong>in</strong>ts.<br />

Fig. 3.1 – Components of LMP<br />

Us<strong>in</strong>g nodal pric<strong>in</strong>g, customers buy and sell energy at the actual price of deliver<strong>in</strong>g energy to<br />

their buses. This pric<strong>in</strong>g system encourages an efficient use of transmission system by assign<strong>in</strong>g<br />

prices to users based on the physical way that energy is actually delivered to their buses.<br />

3.1.1 Bidd<strong>in</strong>g Procedure<br />

In deregulated power systems, ISO dispatches the generators so that to meet the demand of<br />

loads at the m<strong>in</strong>imum cost while ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g security and service quality of power system.<br />

ISO compute LMPs by runn<strong>in</strong>g optimal power flow. Bidd<strong>in</strong>g process for a specified period,<br />

e.g. next two hours, is as below.<br />

• Every producer submits the follow<strong>in</strong>g values to ISO:<br />

o M<strong>in</strong>imum and maximum power which can deliver to the network<br />

o Bid price for sell<strong>in</strong>g 1 MW electric power<br />

• Every consumer submits the follow<strong>in</strong>g values to ISO:<br />

o M<strong>in</strong>imum and maximum load demand<br />

o Load bid for load curtailment <strong>in</strong> emergency condition (if LMP of a load exceeds<br />

its bid then the load is curtailed till its LMP reduces to its bid)<br />

• ISO run the optimal power flow and computes the follow<strong>in</strong>g values:<br />

o MW dispatch of each generator<br />

o MW dispatch of each load<br />

o LMP of each bus<br />

Generation<br />

Marg<strong>in</strong>al<br />

Cost<br />

<strong>Transmission</strong><br />

Congestion<br />

Cost<br />

= +<br />

+<br />

Cost of<br />

Marg<strong>in</strong>al<br />

Losses<br />

The mathematical model for comput<strong>in</strong>g LMPs is described <strong>in</strong> the follow<strong>in</strong>g subsections.

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