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To accommodate the advent of microgrids (MG) managing distributed energy resources (DER) in distribution systems, an interactive two-stage joint retail electricity market mechanism is proposed to provide an effective platform for these…

Systems and Control · Electrical Eng. & Systems 2021-07-28 Chunyi Huang , Mingzhi Zhang , Chengmin Wang , Ning Xie , Jian Wang , Shi Peng

Maintaining energy balance and economical operation is significant for multi-energy systems such as the energy hub. However, it is usually challenged by the frequently changing and unpredictable uncertainties at different timescales. Under…

Computational Engineering, Finance, and Science · Computer Science 2022-03-03 Jiaxin Cao , Bo Yang , Shanying Zhu , Chi Yung Chung , Xinping Guan

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

Statistical Mechanics · Physics 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

Energy storage promotes the integration of renewables by operating with charge and discharge policies that balance an intermittent power supply. A key challenge in this emerging sector is how to optimize the operation of storage assets…

In day-ahead electricity markets based on uniform marginal pricing, small variations in the offering and bidding curves may substantially modify the resulting market outcomes. In this work, we deal with the problem of finding the optimal…

Applications · Statistics 2024-07-01 António Alcántara , Carlos Ruiz

This paper studies the dynamic programming principle using the measurable selection method for stochastic control of continuous processes. The novelty of this work is to incorporate intermediate expectation constraints on the canonical…

Optimization and Control · Mathematics 2020-04-22 Yuk-Loong Chow , Xiang Yu , Chao Zhou

This paper investigates the robustness of stochastic optimal control for controlled regime switching diffusions. We consider systems driven by both continuous fluctuations and discrete regime changes, allowing for model misspecification in…

Optimization and Control · Mathematics 2025-11-24 Somnath Pradhan , Dinesh Rathia

We study a stochastic optimal control problem for jump-diffusion systems whose drift coefficient is piecewise Lipschitz continuous and exhibits threshold-induced discontinuities. Such dynamics naturally arise in applications with…

Optimization and Control · Mathematics 2026-05-08 Antoine-Marie Bogso , Edward Fuituh Kameh , Olivier Menoukeu-Pamen , Felix Shu

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

This paper introduces a jump-diffusion pricing model specifically designed for algorithmic trading and high-frequency trading (HFT). The model incorporates independent jump and diffusion processes, providing a more precise representation of…

Mathematical Finance · Quantitative Finance 2025-09-05 Luca Lalor , Anatoliy Swishchuk

This paper proposes a control strategy for a Reverse Fuel Cell used to manage a Renewable Energy Community. A two-stage scenario-based Model Predictive Control algorithm is designed to define the best economic strategy to be followed during…

Optimization and Control · Mathematics 2022-08-31 Francesco Conte , Gabriele Mosaico , Gianluca Natrella , Matteo Saviozzi , Fiammetta Rita Bianchi

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

General Physics · Physics 2007-05-23 V. Granik , A. Granik

Dynamic pricing is both an opportunity and a challenge to the demand side. It is an opportunity as it better reflects the real time market conditions and hence enables an active demand side. However, demand's active participation does not…

Systems and Control · Electrical Eng. & Systems 2019-12-04 Jiaman Wu , Zhiqi Wang , Chenye Wu , Kui Wang , Yang Yu

Electrified heating systems with thermal storage, such as electric boilers and heat pumps, represent a major source of demand-side flexibility. Under current electricity market designs, balance responsible parties (BRPs) operating such…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Alessandro Quattrociocchi , Manisha Talukdar , Pere Izquierdo Gómez , Tomislav Dragicevic

Large scale electricity storage is set to play an increasingly important role in the management of future energy networks. A major aspect of the economics of such projects is captured in arbitrage, i.e. buying electricity when it is cheap…

Optimization and Control · Mathematics 2015-05-25 James Cruise , Lisa Flatley , Richard Gibbens , Stan Zachary

This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Guido Cavraro , Andrey Bernstein , Emiliano Dall'Anese

There are numerous industrial settings in which a decision maker must decide whether to enter into long-term contracts to guarantee price (and hence cash flow) stability or to participate in more volatile spot markets. In this paper, we…

Optimization and Control · Mathematics 2025-01-28 Dimitri J. Papageorgiou

Electricity storage is used for intertemporal price arbitrage and for ancillary services that balance unforeseen supply and demand fluctuations via frequency regulation. We present an optimization model that computes bids for both arbitrage…

Optimization and Control · Mathematics 2026-05-12 Dirk Lauinger , Luc Coté , Andy Sun

Throughout this paper, we focused our aim on the problem of optimal control under a risk-sensitive performance functional, where the system is given by a fully coupled forward-backward stochastic differential equation with jump. The risk…

Optimization and Control · Mathematics 2019-03-07 Rania Khallout , Adel Chala
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