Complementarity Modeling in Energy Markets

By Steven A. Gabriel, Antonio J. Conejo, J. David Fuller, Benjamin F. Hobbs, Carlos Ruiz. 2012

570 citations recorded by the source corpus.

Subfields: Economics and Econometrics, General Energy

View Paper: https://www.semanticscholar.org/paper/77d2f1078cdb2eaadd4d823e9cca72e4ac710128

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In Economics and Econometrics

In General Energy

Antonio J. Conejo

Citations in the corpus

Coordinated Price-Maker Operation of Large Energy Storage Units in Nodal Energy Markets (2016, unknown): “In particular, the problem formulation here is related to the general class of mathematical programming with equilibrium constraints (MPEC) problems [33].”
Value of Flexible Resources, Virtual Bidding, and Self-Scheduling in Two-Settlement Electricity Markets With Wind Generation—Part II: ISO Models and Application (2018, background): “[7] discuss general conditions under which an economic equilibrium problem posed as a complementarity problem has an equivalent single optimization problem.”
Energy Pricing and Dispatch for Smart Grid Retailers Under Demand Response and Market Price Uncertainty (2015, methodology): “In this paper, we adopt the former to reformulate the consumers’ problems, and use the strong duality condition to linearize the objective of (1) according to the method presented in [27], [30], and [31].”
On the Interaction Between Aggregators, Electricity Markets and Residential Demand Response Providers (2020, background): “This theorem states that, under certain conditions which are satisfied for linear optimization problems such as market clearing problem (13)–(18), optimal solutions to the primal and the associated dual problem yield the same objective value [37].”
Future-proof tariff design: Recovering sunk grid costs in a world where consumers are pushing back (2018, methodology): “Different methods to solve the bi-level optimisation problem that is described by Equations 1-16 exist (See for example: Gabriel et al., 2012).”
Pool Strategy of a Price-Maker Wind Power Producer (2013, background): “However, if production forecasts for all the other wind power producers are available, competition should be modeled through an equilibrium program with equilibrium constraints (EPEC) [19].”
Strategic Behavior of Multi-Energy Players in Electricity Markets as Aggregators of Demand Side Resources Using a Bi-Level Approach (2018, methodology): “Therefore, they may be replaced by their Karush–Kuhn–Tucker (KKT) conditions to turn the bilevel model into a mathematical programming with equilibrium constraints (MPEC).”
Strategic Bidding for a Large Consumer (2015, methodology): “Finally, further mathematical details on the complementarity model used in this paper can be found in [22].”
Offering Strategy of Wind-Power Producer: A Multi-Stage Risk-Constrained Approach (2016, methodology): “The optimal offering strategies in the DA and the balancing markets are formulated using complementarity models [17].”