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We study the optimal control of battery energy storage under a general "pay-for-performance" setup such as providing frequency regulation and renewable integration. In these settings, batteries need to carefully balance the trade-off…

Optimization and Control · Mathematics 2018-07-31 Yuanyuan Shi , Bolun Xu , Yushi Tan , Daniel Kirschen , Baosen Zhang

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Statistical Mechanics · Physics 2025-01-15 Dario Lucente , Alessandro Manacorda , Andrea Plati , Alessandro Sarracino , Marco Baldovin

This paper studies the general problem of operating energy storage under uncertainty. Two fundamental sources of uncertainty are considered, namely the uncertainty in the unexpected fluctuation of the net demand process and the uncertainty…

Optimization and Control · Mathematics 2016-11-17 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

The decarbonization of many heavy power-consuming industries is dependent on the integration of renewable energy sources and energy storage systems in isolated autonomous power systems. The optimal energy management in such schemes becomes…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Spyridon Chapaloglou , Erick Alves , Vincenzo Trovato , Elisabetta Tedeschi

In this paper, we consider a domestic standalone microgrid equipped with local renewable energy generation such as photovoltaic panels, consumption units, and battery storage to balance supply and demand and investigate the stochastic…

Optimization and Control · Mathematics 2025-11-04 Paul Honore Takam , Nathalie Fruiba

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

Optimization and Control · Mathematics 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

We consider a network of residential heating systems in which several prosumers satisfy their heating and hot water demand using solar thermal collectors and services of a central producer. Overproduction of heat can either be stored in a…

Optimization and Control · Mathematics 2025-01-17 Maalvladédon Ganet Somé

In this paper, we introduce an optimal control problem for multi-agent systems with non-local cost which favors simultaneous aggregation of particles. This is done introducing a time-dependent notion of multiplicity whose intrinsic…

Optimization and Control · Mathematics 2025-03-13 Mauro Bonafini , Giulia Cavagnari , Antonio Marigonda

One of the most important challenges in the integration of renewable energy sources into the power grid lies in their `intermittent' nature. The power output of sources like wind and solar varies with time and location due to factors that…

Systems and Control · Computer Science 2011-10-21 Yashodhan Kanoria , Andrea Montanari , David Tse , Baosen Zhang

Distributed, controllable energy storage devices offer several benefits to electric power system operation. Three such benefits include reducing peak load, providing standby power, and enhancing power quality. These benefits, however, are…

Physics and Society · Physics 2014-09-10 Reza Arghandeh , Jeremy Woyak , Ahmet Onen , Jaesung Jung , Robert P. Broadwater

This paper introduces a novel decision-focused framework for energy storage arbitrage bidding. Inspired by the bidding process for energy storage in electricity markets, we propose a predict-then-bid end-to-end method incorporating the…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Ming Yi , Yiqian Wu , Saud Alghumayjan , James Anderson , Bolun Xu

The provision of renewable electricity is the foundation for a sustainable future. To achieve the goal of sustainable renewable energy, Battery Energy Storage Systems (BESS) could play a key role to counteract the intermittency of solar and…

Trading and Market Microstructure · Quantitative Finance 2025-09-29 Luis van Sandbergen

The importance of reactive power compensation for power factor (PF) correction will significantly increase with the large-scale integration of distributed generation interfaced via inverters producing only active power. In this work, we…

Systems and Control · Computer Science 2020-01-14 Md Umar Hashmi , Deepjyoti Deka , Ana Busic , Lucas Pereira , Scott Backhaus

We study the most famous example of a large financial market: the Arbitrage Pricing Model, where investors can trade in a one-period setting with countably many assets admitting a factor structure. We consider the problem of maximising…

Portfolio Management · Quantitative Finance 2020-10-06 Laurence Carassus , Miklos Rasonyi

In this paper we consider the problem of the optimal control of an ensemble of affine-control systems. After proving the well-posedness of the minimization problem under examination, we establish a $\Gamma$-convergence result that allows us…

Optimization and Control · Mathematics 2023-11-20 Alessandro Scagliotti

Optimization problems in engineering and applied mathematics are typically solved in an iterative fashion, by systematically adjusting the variables of interest until an adequate solution is found. The iterative algorithms that govern these…

Optimization and Control · Mathematics 2022-05-31 Laurent Lessard

A standard approach to optimizing long-run running costs of discrete systems is based on minimizing the mean-payoff, i.e., the long-run average amount of resources ("energy") consumed per transition. However, this approach inherently…

Systems and Control · Computer Science 2014-03-25 Tomáš Brázdil , David Klaška , Antonín Kučera , Petr Novotný

We study the utility maximization problem for power utility random fields in a semimartingale financial market, with and without intermediate consumption. The notion of an opportunity process is introduced as a reduced form of the value…

Portfolio Management · Quantitative Finance 2010-11-03 Marcel Nutz

In this study, an optimization problem is proposed in order to obtain the maximum economic benefit from wind farms with variable and intermittent energy generation in the day ahead and balancing electricity markets. This method, which is…

Econometrics · Economics 2018-06-15 Akın Taşcikaraoğlu , Ozan Erdinç

In this paper, we address an optimal management problem of community energy storage in the real-time electricity market under a stochastic renewable environment. In a real-time electricity market, complete market information may not be…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Lirong Deng , Xuan Zhang , Tianshu Yang , Hongbin Sun , Shmuel S. Oren