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The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

Decentralized energy management is of paramount importance in smart microgrids with renewables for various reasons including environmental friendliness, reduced communication overhead, and resilience to failures. In this context, the…

Optimization and Control · Mathematics 2014-01-24 Yu Zhang , Georgios B. Giannakis

Dynamic Mode Decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of non-linear systems from experimental datasets. Recently, several attempts have extended DMD to the context of low-rank approximations. This…

Machine Learning · Statistics 2018-05-18 Patrick Héas , Cédric Herzet

We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle is the natural way of…

Optimization and Control · Mathematics 2010-12-16 Kengy Barty , Pierre Carpentier , Guy Cohen , Pierre Girardeau

One of the most important goals of the 21st century is to change radically the way our society produces and distributes energy. This broad objective embodies in the smart grid's futuristic vision of a completely decentralized system powered…

Systems and Control · Computer Science 2013-05-20 Nicolas Gensollen , Vincent Gauthier , Michel Marot , Monique Becker

Power distribution in remote communities often depends on off-grid microgrids. In order to address the reliability challenges for these microgrids, we develop a mathematical model for topology design, capacity planning, and operation of…

Optimization and Control · Mathematics 2018-06-07 Sreenath Chalil Madathil , Harsha Nagarajan , Russell Bent , Scott J. Mason , Sandra D. Eksioglu , Mowen Lu

Recent trends express the impact of prosumers and small energy resources and storages in distribution systems, due to the increasing uptake of renewable resources. This research studies the effect of coordination of distributed resources…

Optimization and Control · Mathematics 2021-05-24 Amir Noori , Babak Tavassoli , Alireza Fereidunian

This work proposes a method for solving linear stochastic optimal control (SOC) problems using sum of squares and semidefinite programming. Previous work had used polynomial optimization to approximate the value function, requiring a high…

Optimization and Control · Mathematics 2014-09-23 Matanya B. Horowitz , Ivan Papusha , Joel W. Burdick

The integration of intermittent and volatile renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on the…

Optimization and Control · Mathematics 2015-04-23 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

Multi-agent planning in stochastic environments can be framed formally as a decentralized Markov decision problem. Many real-life distributed problems that arise in manufacturing, multi-robot coordination and information gathering scenarios…

Artificial Intelligence · Computer Science 2011-11-02 Claudia V. Goldman , Shlomo Zilberstein

We are interested in optimally controlling a discrete time dynamical system that can be influenced by exogenous uncertainties. This is generally called a Stochas-tic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle…

Optimization and Control · Mathematics 2017-05-25 François Pacaud , Pierre Carpentier , Jean-Philippe Chancelier , Vincent Leclère

As renewable energy integration, sector coupling, and spatiotemporal detail increase, energy system optimization models grow in size and complexity, often pushing solvers to their performance limits. This systematic review explores…

Multistage stochastic optimization problems are, by essence, complex as their solutions are indexed both by stages and by uncertainties. Their large scale nature makes decomposition methods appealing, like dynamic programming which is a…

Optimization and Control · Mathematics 2023-05-01 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , Thomas Martin , Tristan Rigaut

This study develops a scalable co-optimization strategy for the joint bidding of cascaded hydropower, wind, and solar energy units, treated as a unified entity in the day-ahead market. Although hydropower flexibility can manage the…

Optimization and Control · Mathematics 2025-11-10 Luca Santosuosso , Simon Camal , Arthur Lett , Guillaume Bontron , Jalal Kazempour , Georges Kariniotakis

Distributed renewable energy resources have attracted significant attention in recent years due to the falling cost of the renewable energy technology, extensive federal and state incentives, and the application in improving load-point…

Systems and Control · Computer Science 2016-12-05 Alireza Majzoobi , Amin Khodaei

Smart devices, storage and other distributed technologies have the potential to greatly improve the utilisation of network infrastructure and renewable generation. Decentralised control of these technologies overcomes many scalability and…

Optimization and Control · Mathematics 2024-10-30 Paul Scott , Sylvie Thiébaux

This paper considers two important problems -- on the supply-side and demand-side respectively and studies both in a unified framework. On the supply side, we study the problem of energy sharing among microgrids with the goal of maximizing…

Systems and Control · Electrical Eng. & Systems 2019-07-09 Diddigi Raghuram Bharadwaj , Sai Koti Reddy Danda , Krishnasuri Narayanam , Shalabh Bhatnagar

In this paper, we investigate a decentralized stochastic control problem with two agents, where a part of the memory of the second agent is also available to the first agent at each instance of time. We derive a structural form for optimal…

Optimization and Control · Mathematics 2022-06-14 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

The cost of the power distribution infrastructures is driven by the peak power encountered in the system. Therefore, the distribution network operators consider billing consumers behind a common transformer in the function of their peak…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Wenqi Cai , Hossein N. Esfahani , Arash B. Kordabad , Sébastien Gros

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

Optimization and Control · Mathematics 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov