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We formulate the optimal energy arbitrage problem for a piecewise linear cost function for energy storage devices using linear programming (LP). The LP formulation is based on the equivalent minimization of the epigraph. This formulation…

Systems and Control · Electrical Eng. & Systems 2019-08-19 Md Umar Hashmi , Arpan Mukhopadhyay , Ana Bušić , Jocelyne Elias , Diego Kiedanski

This paper proposes a simple and flexible storage model for use in a variety of multi-period optimal power flow problems. The proposed model is designed for research use in a broad assortment of contexts enabled by the following key…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Frederik Geth , Carleton Coffrin , David M Fobes

The primary concerns of this paper are twofold: to understand the economic value of storage in the presence of ramp constraints and exogenous electricity prices, and to understand the implications of the associated optimal storage…

Optimization and Control · Mathematics 2012-11-09 Ali Faghih , Mardavij Roozbehani , Munther A. Dahleh

The increasing share of volatile renewable electricity production motivates demand response. Substantial potential for demand response is offered by flexible processes and their local multi-energy supply systems. Simultaneous optimization…

Optimization and Control · Mathematics 2024-01-10 Florian Joseph Baader , Philipp Althaus , André Bardow , Manuel Dahmen

The energetic flexibility of electric energy resources can be exploited when trading on wholesale energy and ancillary service markets. This paper considers the problem of a Balance Responsible Party to maximize its profit from trading on…

Systems and Control · Computer Science 2018-04-12 Fabian L. Müller , Stefan Woerner , John Lygeros

The future power system is increasingly interconnected via both AC and DC interconnectors. These interconnectors establish links between previously decoupled energy markets. In this paper, we propose an optimal multi-market energy storage…

Optimization and Control · Mathematics 2023-10-03 Md Umar Hashmi , Stephen Hardy , Dirk Van Hertem , Harsha Nagarajan

Electricity prices and the end user net load vary with time. Electricity consumers equipped with energy storage devices can perform energy arbitrage, i.e., buy when energy is cheap or when there is a deficit of energy, and sell it when it…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Md Umar Hashmi , Arpan Mukhopadhyay , Ana Bušić , Jocelyne Elias

Flexible energy resources can help balance the power grid by providing different types of ancillary services. However, the balancing potential of most types of resources is restricted by physical constraints such as the size of their energy…

Systems and Control · Computer Science 2018-06-22 Fabian L. Müller , Stefan Woerner , John Lygeros

With the integration of loads such as pulse power loads, a new control challenge is presented in meeting their high ramp rate requirements. Existing onboard generators are ramp rate limited. The inability to meet the load power due to ramp…

Optimization and Control · Mathematics 2024-07-31 Satish Vedula , Seyyed Shaho Alaviani , Olugbenga Moses Anubi

This paper presents a framework for deriving the storage capacity that an electricity system requires in order to satisfy a chosen risk appetite. The framework takes as inputs user-defined event categories, parameterised by peak…

Optimization and Control · Mathematics 2020-12-02 Michael P. Evans , Simon H. Tindemans

As the share of variable renewable energy sources increases in the electricity mix, new solutions are needed to build a flexible and reliable grid. Energy arbitrage with battery storage systems supports renewable energy integration into the…

Optimization and Control · Mathematics 2025-12-17 Alban Puech , Gorazd Dimitrov , Claudia D'Ambrosio

We characterize profit-maximizing operating strategies, over some time horizon [0,T], for an energy store which is trading in an arbitrage market. Our theory allows for leakage, operating inefficiencies, operating constraints and general…

Optimization and Control · Mathematics 2014-12-03 Lisa Flatley , Robert S. MacKay , Michael Waterson

This paper examines the marginal value of mobile energy storage, i.e., energy storage units that can be efficiently relocated to other locations in the power network. In particular, we formulate and analyze the joint problem for operating…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Utkarsha Agwan , Junjie Qin , Kameshwar Poolla , Pravin Varaiya

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

With the fast growth of wind power penetration, power systems need additional flexibility to cope with wind power ramping. Several electricity markets have established requirements for flexible ramping capacity (FRC) reserves. This paper…

Physics and Society · Physics 2017-12-05 Zhiwen Wang , Chen Shen , Feng Liu , Jianhui Wang , Xiangyu Wu

We consider the problem of characterizing the locational marginal value of energy storage capacity in electric power networks with stochastic renewable supply and demand. The perspective taken is that of a system operator, whose objective…

Optimization and Control · Mathematics 2016-12-07 Subhonmesh Bose , Eilyan Bitar

The co-optimization of behind-the-meter distributed energy resources is considered for prosumers under the net energy metering tariff. The distributed energy resources considered include renewable generations, flexible demands, and battery…

Systems and Control · Electrical Eng. & Systems 2024-07-11 Ahmed S. Alahmed , Lang Tong , Qing Zhao

We study the optimal control of storage which is used for arbitrage, i.e. for buying a commodity when it is cheap and selling it when it is expensive. Our particular concern is with the management of energy systems, although the results are…

Optimization and Control · Mathematics 2014-06-17 James Cruise , Richard Gibbens , Stan Zachary

The integration of renewable generation poses operational and economic challenges for the electricity grid. For the core problem of power balance, the legacy paradigm of tailoring supply to follow random demand may be inappropriate under…

Systems and Control · Computer Science 2014-09-25 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

The deepening penetration of renewables in power systems has contributed to the increasing needs for generation scheduling flexibility. Specifically, for short-term operations, flexibility here indicates that sufficient ramp capacities…

Optimization and Control · Mathematics 2016-01-14 Runze Chen , Jianhui Wang , Audun Botterud , Hongbin Sun
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