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Wholesale power distributors bid to buy tranches of power at a range of prices. To clear the market, the market manager solves a linear program in which the decision variables are how much power to accept from each generator, the flow of power on each line, and how much power to provide to each distributor.
After solution, the primal variables prescribe the dispatch that is, how much power each generator should produce. The dual variables provide the market clearing prices.
By clearing the market based on the dual prices, participants are charged on marginal values, rather than as bid.
Thus, every seller is guaranteed to receive at least as much as was bid and possibly more. Every buyer is guaranteed to pay no more than was offered, and possibly less.
Without the smart market, the line operator, all generators, and all distributors would have to be part of a monopoly in order to guarantee system coordination.
Natural gas markets are sometimes cleared by smart markets,  as in Australia . The system operator serves as the market manager.
Operation of the gas pipeline network require coordination to ensure that gas supply matches demand, and that flows do not exceed pipe capacities.
Gas suppliers offer a range of quantities at a range of prices. Distributors bid to buy a range of quantities at a range of prices.
To clear the market, the market manager solves a linear program in which the decision variables are the gas to accept from each supplier, the flow of gas on each pipe segment, and how much gas to provide to each distributor.
As with electricity markets, after solution, the primal variables prescribe the optimal flows, and the dual variables provide the market clearing prices.
The objective minimizes the cost of supplying power. The spectrum auction is a one-sided smart market which is cleared by an integer program.
These combinatorial auctions are cleared as bid, rather than at prices based on dual variables. Only recently have researchers found robust means to obtain dual variables from integer programs.
Companies and governments sometimes use smart markets in procurement, as for transportation services. The Chilean government, for example, uses a smart market to choose caterers for school meal programs.
The system ensures that the class seats go to those students who most want them, while ensuring that the number of students in each class stays within the room capacity.
Smart markets are now being proposed for environmental services, including water. A smart market formulation may be written as a net pool, in which the decision variables explicitly calculate buys and sells, and the market model clears only those quantities.
The net pool market can be mathematically infeasible if participants are unwilling to trade sufficient quantities to allow feasibility.
Alternatively, the formulation may be a gross pool, in which the decision variables determine total quantities that each participant receives; the market manager calculates net sales after the model's solution, based on participants' initial holdings.
The gross pool market will tend to be mathematically feasible, but could have an unacceptably high cost in the optimal objective value, should buy bids be too low compared to sell offers.
The difference between these two formulations is only technical, as the market designs are economically equivalent by the Coase theorem.
From Wikipedia, the free encyclopedia. Smart computer-assisted markets. Smith, and R. Bluffing NY Times. A security-constrained bid-clearing system for the NZ wholesale electricity market.
IEEE Trans. Power Systems, 13 2 , W, Read E. G and Ring B. Sharkey, Y.