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Strategic offers in day‐ahead market co‐optimizing energy and reserve under high penetration of wind power production: An MPEC approach
Author(s) -
Tsimopoulos Evangelos G.,
Georgiadis Michael C.
Publication year - 2019
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.16495
Subject(s) - mathematical optimization , wind power , stackelberg competition , renewable energy , profit (economics) , stochastic programming , electricity , market clearing , electricity market , economics , production (economics) , computer science , operations research , environmental economics , microeconomics , engineering , mathematics , electrical engineering
This work based on Stackelberg hypothesis, which considers a conventional power producer exercising their dominant position in an electricity pool with high penetration of wind power production. A bi‐level optimization model is used to describe the delivery of a single settled hourly auction process. The upper‐level problem illustrates the expected profit optimization of the strategic producer whereas the lower‐level problem represents the energy‐only market clearing process through a two‐stage stochastic program. The bi‐level problem is recast into mathematical programming with equilibrium constraints (MPEC), which is then reformulated into an MILP. These transformations occur using the Karush‐Kuhn‐Tucker optimality conditions and the strong duality theory. Energy dispatch and reserve deployment are co‐optimized under various scenarios of wind production uncertainty realization. The suggested model provides optimal strategic offers and local marginal prices under different levels of wind penetration and network line transmission capacities. © 2018 American Institute of Chemical Engineers AIChE J , 65: e16495 2019