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Storage is vital to power systems as it provides the urgently needed flexibility to the system. Meanwhile, it can contribute more than flexibility. In this paper, we study the possibility of utilizing storage system for carbon emission…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Jian Sun , Yaoyu Zhang , Yang Yu , Chenye Wu

The present paper provides a study of high-dimensional statistical arbitrage that combines factor models with the tools from stochastic control, obtaining closed-form optimal strategies which are both interpretable and computationally…

Mathematical Finance · Quantitative Finance 2021-06-25 Jorge Guijarro-Ordonez

This paper presents an integrated model for bidding energy storage in day-ahead and real-time markets to maximize profits. We show that in integrated two-stage bidding, the real-time bids are independent of day-ahead settlements, while the…

Optimization and Control · Mathematics 2024-04-30 Saud Alghumayjan , Jiajun Han , Ningkun Zheng , Ming Yi , Bolun Xu

In a continuous-time model with multiple assets described by c\`{a}dl\`{a}g processes, this paper characterizes superhedging prices, absence of arbitrage, and utility maximizing strategies, under general frictions that make execution prices…

Pricing of Securities · Quantitative Finance 2015-06-22 Paolo Guasoni , Miklós Rásonyi

The control of ensembles of dynamical systems is an intriguing and challenging problem, arising for example in quantum control. We initiate the investigation of optimal control of ensembles of discrete-time systems, focusing on minimising…

Optimization and Control · Mathematics 2025-11-07 Christian Fiedler , Alessandro Scagliotti

In the wake of the highly electrified future ahead of us, the role of energy storage is crucial wherever distributed generation is abundant, such as in microgrid settings. Given the variety of storage options that are becoming more and more…

Machine Learning · Computer Science 2021-03-26 S. Tsianikas , N. Yousefi , J. Zhou , M. Rodgers , D. W. Coit

This paper proposes a risk-averse approach to energy storage price arbitrage, leveraging conformal uncertainty quantification for electricity price predictions. The method addresses the significant challenges posed by the inherent…

Optimization and Control · Mathematics 2024-12-11 Saud Alghumayjan , Ming Yi , Bolun Xu

Future power grids will entail large fleets of storage devices capable of scheduling their charging/discharging profiles so as to achieve lower peak demand and reduce energy bills, by shifting absorption times in sync with the availability…

Optimization and Control · Mathematics 2021-11-04 David Angeli , Zihang Dong , Goran Strbac

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

Optimization and Control · Mathematics 2022-04-01 Angel Zambrano

Despite being optimized, the information processing of biological organisms exhibits significant variability in its complexity and capability. One potential source of this diversity is the limitation of resources required for information…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

We consider the Brownian market model and the problem of expected utility maximization of terminal wealth. We, specifically, examine the problem of maximizing the utility of terminal wealth under the presence of transaction costs of a…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Theodoros Tsagaris

This paper examines the value of storage in securing reliability of a system with uncertain supply and demand, and supply friction. The storage is frictionless as a supply source, but once used, it cannot be filled up instantaneously. The…

Optimization and Control · Mathematics 2011-09-30 Ali ParandehGheibi , Mardavij Roozbehani , Asuman Ozdaglar , Munther A Dahleh

In the field of microgrids with a significant integration of Renewable Energy Sources, the efficient and practical power storage systems requirement is causing DC microgrids to gain increasing attention. However, uncertainties in power…

Optimization and Control · Mathematics 2023-03-14 Yanandlall Gopee , Margot Gaetani-Liseo , Anne Blavette , Guy Camilleri , Xavier Roboam , Corinne Alonso

The minimization of energy-like cost functionals is addressed in the context of optimal control problems. For a general class of dynamical systems, with possibly unstable and nonlinear free dynamics, it is shown that a sequence of solutions…

Optimization and Control · Mathematics 2022-12-06 Sérgio S. Rodrigues

We consider a stochastic impulse control problem that is motivated by applications such as the optimal exploitation of a natural resource. In particular, we consider a stochastic system whose uncontrolled state dynamics are modelled by a…

Optimization and Control · Mathematics 2024-08-27 Zhesheng Liu , Mihail Zervos

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

Optimization and Control · Mathematics 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

Microscopic machines utilize free energy to create and maintain out-of-equilibrium organization in virtually all living things. Often this takes the form of converting the free energy stored in nonequilibrium chemical potential differences…

Statistical Mechanics · Physics 2019-08-23 Steven J. Large , David A. Sivak

Electricity storage is crucial for a successful transition towards carbon-neutral energy production. Despite considerable research and a number of promising future alternatives such as hydrogen, battery storages currently remain the first…

Optimization and Control · Mathematics 2024-12-12 Stephan Schlüter , Abhinav Das , Mathew Davison

Within the context of renewable energy communities, this paper focuses on optimal operation of producers equipped with energy storage systems in the presence of demand response. A novel strategy for optimal scheduling of the storage systems…

Optimization and Control · Mathematics 2025-03-11 Gianni Bianchini , Marco Casini , Milad Gholami

This paper presents an analytical method for calculating the operational value of an energy storage device under multi-stage price uncertainties. Our solution calculates the storage value function from price distribution functions directly…

Optimization and Control · Mathematics 2024-03-29 Bolun Xu , Audun Botterud , Magnus Korpas