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In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

The growing share of Renewable Energy Sources (RES) in modern power systems increases both grid imbalances and frequency deviations, reinforcing the need for ancillary services such as Frequency Containment Reserve (FCR) and passive…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Celle Hendrickx , Fabio Pavirani , Chris Develder

The use of energy storage to balance electric grids is increasing and, with it, the importance of operational optimisation from the twin viewpoints of cost and system stability. In this paper we assess the real option value of balancing…

Optimization and Control · Mathematics 2016-10-19 John Moriarty , Jan Palczewski

Energy storage and demand-side response will play an increasingly important role in the future electricity system. We extend previous results on a single energy storage unit to the management of two energy storage units cooperating for the…

Optimization and Control · Mathematics 2020-05-25 Miguel F. Anjos , James R. Cruise , Albert Solà Vilalta

The implementation of electricity markets based on locational marginal pricing in a multi-settlement process has allowed wholesale competition, with pricing mechanisms that incentivize the optimal allocation of generation, transmission, and…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Veronica R. Bosquezfoti , Andrew L. Liu

In electrical distribution grids, the constantly increasing number of power generation devices based on renewables demands a transition from a centralized to a distributed generation paradigm. In fact, power injection from Distributed…

Systems and Control · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi , Stefano Tomasin , Carlo Fischione

As the penetration level of transmission-scale time-intermittent renewable generation resources increases, control of flexible resources will become important to mitigating the fluctuations due to these new renewable resources. Flexible…

Optimization and Control · Mathematics 2011-07-11 Krishnamurthy Dvijotham , Scott Backhaus , Misha Chertkov

In electricity systems supplied by renewable energy sources (RES), storage operators shift energy across time, helping maintain system adequacy. However, characterizing their strategic role and identifying the conditions under which…

General Economics · Economics 2025-11-18 Arega Getaneh Abate , Dogan Keles , Salim Hassi , Xiufeng Liu , Xiao-Bing Zhang

We study a robust stochastic optimization problem in the quasi-sure setting in discrete-time. We show that under a lineality-type condition the problem admits a maximizer. This condition is implied by the no-arbitrage condition in models of…

Mathematical Finance · Quantitative Finance 2018-05-11 Ariel Neufeld , Mario Sikic

The large integration of variable energy resources is expected to shift a large part of the energy exchanges closer to real-time, where more accurate forecasts are available. In this context, the short-term electricity markets and in…

Trading and Market Microstructure · Quantitative Finance 2020-04-14 Ioannis Boukas , Damien Ernst , Thibaut Théate , Adrien Bolland , Alexandre Huynen , Martin Buchwald , Christelle Wynants , Bertrand Cornélusse

Electric power systems are increasingly turning to energy storage systems to balance supply and demand. But how much storage is required? What is the optimal volume of storage in a power system and on what does it depend? In addition, what…

Theoretical Economics · Economics 2025-11-27 Darryl Biggar , Mohammad Reza Hesamzadeh

Battery participants in performance-based frequency regulation markets must consider the cost of battery aging in their operating strategies to maximize market profits. In this paper we solve this problem by proposing an optimal control…

Optimization and Control · Mathematics 2018-06-12 Bolun Xu , Yuanyuan Shi , Daniel S. Kirschen , Baosen Zhang

This paper proposes a bi-level optimization framework to investigate the optimal market operation strategies of price-maker battery energy storage systems (BESSs) in real-time energy, spinning reserve, and pay as performance regulation…

Systems and Control · Electrical Eng. & Systems 2022-01-20 Reza Khalilisenobari , Meng Wu

It is likely that electricity storage will play a significant role in the balancing of future energy systems. A major challenge is then that of how to assess the contribution of storage to capacity adequacy, i.e. to the ability of such…

Optimization and Control · Mathematics 2019-01-16 James Cruise , Stan Zachary

In this paper, we propose a complete modelling framework to value several batteries in the electricity intraday market at the trading session scale. The model consists of a stochastic model for the 24 mid-prices (one price per delivery…

Trading and Market Microstructure · Quantitative Finance 2024-12-23 Enzo Cognéville , Thomas Deschatre , Xavier Warin

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

Recently, the volatility associated with marginal prices has increased due to large scale integration of renewable generation. Price volatility is undesirable from a consumer perspective. To address this issue, we present a framework for…

Optimization and Control · Mathematics 2018-12-11 Shantanu Chakraborty , Kyri Baker , Milos Cvetkovic , Remco Verzijlbergh , Zofia Lukszo

Hydro storage system optimization is becoming one of the most challenging tasks in Energy Finance. While currently the state-of-the-art of the commercial software in the industry implements mainly linear models, we would like to introduce…

Risk Management · Quantitative Finance 2017-08-28 Simone Farinelli , Luisa Tibiletti

The power networks are evolving with increased active components such as energy storage and flexibility derived from loads such as electric vehicles, heat pumps, industrial processes, etc. Better models are needed to accurately represent…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Md Umar Hashmi , Dirk Van Hertem , Aleen van der Meer , Andrew Keane

Studies looking at electricity market designs for very high shares of wind and solar often conclude that the energy-only market will break down. Without fuel costs, it is said that there is nothing to set prices. Symptoms of breakdown…

General Economics · Economics 2025-10-29 Tom Brown , Fabian Neumann , Iegor Riepin