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We show how to value both variable generation and energy storage to enable them to be integrated fairly and optimally into electricity capacity markets. We develop theory based on balancing expected energy unserved against costs of capacity…

Optimization and Control · Mathematics 2021-08-10 Stan Zachary , Amy Wilson , Chris Dent

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

This letter introduces a method to manage energy storage in electricity grids. Starting from the stochastic characterization of electricity generation and demand, we propose an equation that relates the storage level for every time-step as…

Systems and Control · Computer Science 2016-12-05 Pedro H. J. Nardelli , Hirley Alves

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

This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

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

We present a method to find the maximum magnitude of any supply-shortfall service that an aggregator of energy storage devices is able to sell to a grid operator. This is first demonstrated in deterministic settings, then applied to…

Optimization and Control · Mathematics 2020-05-12 Michael P. Evans , Simon H. Tindemans , David Angeli , Goran Strbac

Dispatchability of renewable energy sources and inflexible loads can be achieved using a volatility-compensating energy storage. However, as the future power outputs of the inflexible devices are uncertain, the computation of a dispatch…

Systems and Control · Computer Science 2018-05-25 R. R. Appino , J. Á. González Ordiano , R. Mikut , V. Hagenmeyer , T. Faulwasser

Resource adequacy studies typically use standard metrics such as Loss of Load Expectation and Expected Energy Unserved to quantify the risk of supply shortfalls. This paper critiques present approaches to adequacy assessment and capacity…

Applications · Statistics 2023-09-13 Chris J. Dent , Nestor Sanchez , Aditi Shevni , Jim Q. Smith , Amy L. Wilson , Xuewen Yu

This paper proposes a novel framework to price energy storage in economic dispatch with a social welfare maximization objective. This framework can be utilized by power system operators to generate default bids for storage or to benchmark…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Ning Qi , Ningkun Zheng , Bolun Xu

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…

We investigate the ability of a homogeneous collection of deferrable energy loads to behave as a battery; that is, to absorb and release energy in a controllable fashion up to fixed and predetermined limits on volume, charge rate and…

Systems and Control · Computer Science 2016-10-07 Daria Madjidian , Mardavij Roozbehani , Munther A. Dahleh

This paper presents a method to determine the optimal location, energy capacity, and power rating of distributed battery energy storage systems at multiple voltage levels to accomplish grid control and reserve provision. We model…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Stefano Massucco , Paola Pongiglione , Federico Silvestro , Mario Paolone , Fabrizio Sossan

This study addresses the transmission value of energy storage in electric grids. The inherent connection between storage and transmission infrastructure is captured from a "cumulative energy" perspective, which enables the reformulating of…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Qian Zhang , P. R. Kumar , Le Xie

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

Securing an adequate supply of dispatchable resources is critical for keeping a power system reliable under high penetrations of variable generation. Traditional resource adequacy mechanisms are poorly suited to exploiting the growing…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Farhad Billimoria , Filiberto Fele , Iacopo Savelli , Thomas Morstyn , Malcolm McCulloch

We study capacity accreditation of resource-colocated large loads, defined as large demands such as data center and manufacturing loads colocated with behind-the-meter generation and storage resources, synchronously connected to the bulk…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Siying Li , Lang Tong , Timothy D. Mount

Current contingency reserve criteria ignore the likelihood of individual contingencies and, thus, their impact on system reliability and risk. This paper develops an iterative approach, inspired by the current security-constrained unit…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Robert Mieth , Yury Dvorkin , Miguel A. Ortega-Vazquez

In power systems, large-scale optimisation problems are extensively used to plan for capacity expansion at the supra-national level. However, their cost-optimal solutions are often not exploitable by decision-makers who are preferably…

Optimization and Control · Mathematics 2022-06-01 Antoine Dubois , Damien Ernst

Integration of modern defence weapons into ship power systems poses a challenge in terms of meeting the high ramp rate requirements of those loads. It might be demanding for the generators to meet the ramp rates of these loads. Failure to…

Optimization and Control · Mathematics 2021-05-27 Satish Vedula , Mehrzad Mohammadi Bijaieh , Ellis Oti Boateng , Olugbenga Moses Anubi
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