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Ananduta, W. (author), Grammatico, S. (author)We formulate for the first time the economic dispatch problem among prosumers in an integrated electrical and gas distribution system (IEGDS) as a game equilibrium problem. Specifically, by approximating the nonlinear gasflow equations either with a mixedinteger secondorder cone (MISOC) or a piecewise affine (PWA) model and by assuming...journal article 2024
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Benenati, E. (author), Ananduta, W. (author), Grammatico, S. (author)To optimally select a generalized Nash equilibrium, in this paper, we consider a semidecentralized algorithm based on a doublelayer Tikhonov regularization algorithm. Technically, we extend the Tikhonov method for equilibrium selection to generalized games. Next, we couple such an algorithm with the preconditioned forwardbackward splitting...conference paper 2023
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Benenati, E. (author), Ananduta, W. (author), Grammatico, S. (author)A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a systemlevel objective. The existing GNE seeking algorithms have in fact convergence guarantees toward an arbitrary, possibly inefficient,...journal article 2023
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MartinezPiazuelo, Juan (author), Ananduta, W. (author), OcampoMartinez, Carlos (author), Grammatico, S. (author), Quijano, Nicanor (author)We consider a large population of decision makers that choose their evolutionary strategies based on simple pairwise imitation rules. We describe such a dynamic process by the replicator dynamics. Differently from the available literature, where the payoffs signals are assumed to be updated continuously, we consider a more realistic scenario...journal article 2023
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Ananduta, W. (author), Grammatico, S. (author)We consider a clearing problem in peertopeer energy markets, where prosumers can trade energy among each other and with the main grid to meet their energy demands. By using a gametheoretic formulation and exploiting operatortheoretic methods for generalized Nash equilibrium seeking, we propose two variants of the stateoftheart distributed...journal article 2022
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Ananduta, W. (author), Grammatico, S. (author)We present a distributed Nash equilibrium seeking method based on the Bregman forwardbackward splitting, which allows us to have a mirror mapping instead of the standard projection as the backward operator. Our main technical contribution is to show convergence to a Nash equilibrium when the game has cocoercive pseudogradient mapping....journal article 2022
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Ananduta, W. (author), Grammatico, S. (author)We formulate the optimal flow problem in a multiarea integrated electrical and gas system as a mixedinteger optimization problem by approximating the nonlinear gas flows with piecewise affine functions, thus resulting in a set of mixedinteger linear constraints. For its solution, we propose a novel algorithm that consists in one stage for...conference paper 2022
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Bianchi, M. (author), Ananduta, W. (author), Grammatico, S. (author)The distributed dual ascent is an established algorithm to solve strongly convex multiagent optimization problems with separable cost functions, in the presence of coupling constraints. In this letter, we study its asynchronous counterpart. Specifically, we assume that each agent only relies on the outdated information received from some...journal article 2022
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Belgioioso, Giuseppe (author), Ananduta, W. (author), Grammatico, S. (author), Ocampo Martinez, C.A. (author)In future distribution grids, prosumers (i.e., energy consumers with storage and/or production capabilities) will trade energy with each other and with the main grid. To ensure an efficient and safe operation of energy trading, in this paper, we formulate a peertopeer energy market of prosumers as a generalized aggregative game, in which a...journal article 2022
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Ananduta, W. (author), Nedic, Angelia (author), OcampoMartinez, Carlos (author)A multiagent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edgebased coupling equality constraints. In this regard, we propose a distributed algorithm based on solving the dual of the augmented...journal article 2021
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Ananduta, W. (author), OcampoMartinez, Carlos (author), Nedic, Angelia (author)In this paper, we propose a distributed model predictive control (MPC) scheme for economic dispatch of energy systems with a large number of active components. The scheme uses a distributed optimization algorithm that works over random communication networks and asynchronous updates, implying the resiliency of the proposed scheme with respect...journal article 2021
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Ananduta, W. (author), OcampoMartinez, Carlos (author)A noncentralized model predictive control (MPC) scheme for solving an economic dispatch problem of electrical networks is proposed in this paper. The scheme consists of two parts. The first part is an eventtriggered repartitioning method that splits the network into a fixed number of nonoverlapping subsystems (microgrids). The objective...journal article 2021