Proof of Lemma 1. Consider a low-performance bidder with unit valuation v who bids b and a high-performance bidder with unit valuation wv who bids wb. Both bidders get a score wb, and their payoff functions are U (y L , v, b) = y L (v − b)Pr(wb is the highest score) (W1) and U (y H , wv, wb) = y H (wv − wb)Pr(wb is the highest score). (W2) It is easy to establish that U (y H , wv, wb) = wy H y ...

In this paper, the impacts of an incentive-based Demand Response, i.e., Ancillary Service DR (ASDR), and a price-based DR, i.e., Time of Use (ToU), are revealed in a restructured power system which has some wind farms. This network is designed based on the pre-emptive market which is a day-ahead market with a balancing market prognosis. It is a proper mechanism to deal with the stochastic natur...

From the optimization point of view, an optimum solution of the unit commitment problem with reliability constraints can be achieved when all constraints are simultaneously satisfied rather than sequentially or separately satisfying them. Therefore, the reliability constraints need to be appropriately formulated in terms of the conventional unit commitment variables. In this paper, the reli...

A novel market mechanism is proposed to charge the uncertainty and credit the generation reserve in the Day-ahead market within a Robust Security-Constrained Unit Commitment (RSCUC) optimization framework. The increasing penetration of renewable energy in recent years has led to more uncertainties in power systems. These uncertainties have to be accommodated by flexible resources (i.e. upward a...

As part of the day-ahead market clearing process, MISO solves one of the most challenging Security Constrained Unit Commitment (SCUC) models. This paper introduces several developments on MIP SCUC formulation that result in significant performance improvement. Numerical results based on MISO data are presented. Index Terms – Electricity market, mixed integer programming, security constrained un...

this paper proposes a novel technique for solving generation scheduling and ramp rate constrained unit commitment. a modified objective function associated with a new start-up cost term is introduced in this paper. the proposed method is used to solve generating scheduling problem satisfying srr, minimum up and down time as well as ramp rate constraints. two case studies are conducted to implem...