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This paper investigates the use of extreme value theory for modelling the distribution of demand-net-of-wind for capacity adequacy assessment. Extreme value theory approaches are well-established and mathematically justified methods for…

Applications · Statistics 2019-07-31 Amy L Wilson , Stan Zachary

High penetrations of intermittent renewable energy resources in the power system require large balancing reserves for reliable operations. Aggregated and coordinated behind-the-meter loads can provide these fast reserves, but represent…

Optimization and Control · Mathematics 2019-10-03 Mahraz Amini , Mads Almassalkhi

Higher penetration of renewable generation will increase the demand for adequate (and cost-effective) controllable resources on the grid that can mitigate and contain the contingencies locally before it can cause a network-wide collapse.…

Optimization and Control · Mathematics 2018-06-08 Sai Pushpak Nandanoori , Soumya Kundu , Draguna Vrabie , Karan Kalsi , Jianming Lian

We investigate the profitability and risk of energy storage arbitrage in electricity markets under price uncertainty, exploring both robust and chance-constrained optimization approaches. We analyze various uncertainty representations,…

Optimization and Control · Mathematics 2025-01-16 Yiqian Wu , Bolun Xu , James Anderson

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

High penetration of renewable generation in the electricity grid presents power system operators with challenges including voltage instability mainly due to fluctuating power generation. To cope with intermittent generation, community…

Optimization and Control · Mathematics 2024-05-28 Khalil Gholami , Asef Nazari , Dhananjay Thiruvady , Valeh Moghaddam , Sutharshan Rajasegarar , Wei-Yu Chiu

Energy harvesting has emerged as a powerful technology for complementing current battery-powered communication systems in order to extend their lifetime. In this paper a general framework is introduced for the optimization of communication…

Information Theory · Computer Science 2012-03-14 Bertrand Devillers , Deniz Gunduz

The concept of capacity value is widely used to quantify the contribution of additional generation (most notably renewables) within generation adequacy assessments. This paper surveys the existing probability theory of assessment of the…

Probability · Mathematics 2013-05-29 Chris Dent , Stan Zachary

The estimation of rare event probabilities plays a pivotal role in diverse fields. Our aim is to determine the probability of a hazard or system failure occurring when a quantity of interest exceeds a critical value. In our approach, the…

Methodology · Statistics 2025-04-11 Lea Friedli , David Ginsbourger , Arnaud Doucet , Niklas Linde

Managing data storage growth is of crucial importance to businesses. Poor practices can lead to large data and financial losses. Access to storage information along with timely action, or capacity forecasting, are essential to avoid these…

General Finance · Quantitative Finance 2019-01-31 Revathi Anil Kumar , Mark Chamness

In this paper, we show how to achieve close-to-optimal utility performance in energy harvesting networks with only finite capacity energy storage devices. In these networks, nodes are capable of harvesting energy from the environment. The…

Optimization and Control · Mathematics 2010-12-10 Longbo Huang , Michael J. Neely

Integration of various electricity-generating technologies (such as natural gas, wind, nuclear, etc.) with storage systems (such as thermal, battery electric, hydrogen, etc.) has the potential to improve the economic competitiveness of…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Saeed Azad , Ziraddin Gulumjanli , Daniel R. Herber

We consider an energy harvesting channel, in which the transmitter is powered by an exogenous stochastic energy harvesting process $E_t$, such that $0\leq E_t\leq\bar{E}$, which can be stored in a battery of finite size $\bar{B}$. We…

Information Theory · Computer Science 2016-07-04 Dor Shaviv , Phan-Minh Nguyen , Ayfer Ozgur

E-powertrain of future electric vehicles could consist of energy generation units (e.g., fuel cells and photovoltaic modules), energy storage systems (e.g., batteries and supercapacitors), energy conversion units (e.g., bidirectional DC/DC…

Optimization and Control · Mathematics 2020-12-09 Erfan Mohagheghi , Joan Gubianes Gasso , Abebe Geletu , Pu Li

The popularity of Energy Harvesting Devices (EHDs) has grown in the past few years, thanks to their capability of prolonging the network lifetime. In reality, EHDs are affected by several inefficiencies, e.g., energy leakage, battery…

Information Theory · Computer Science 2016-03-14 Alessandro Biason , Michele Zorzi

This paper considers the representation of energy storage in electricity sector capacity planning models. The incorporation of storage in long-term systems models of this type is increasingly relevant as the cost of storage technologies,…

Optimization and Control · Mathematics 2021-06-01 James H. Merrick , John E. T. Bistline , Geoffrey J. Blanford

Several electrochemical and electrical energy storage devices are reported every day, with the claim of outperforming the established ones. The use of newer materials and recent advanced techniques to synthesize and/or assemble them into a…

To achieve ambitious greenhouse gas emission reduction targets in time, the planning of future energy systems needs to accommodate societal preferences, e.g. low levels of acceptance for transmission expansion or onshore wind turbines, and…

Physics and Society · Physics 2025-10-30 Fabian Neumann , Tom Brown

This paper introduces a mathematical formulation of energy storage systems into a generation capacity expansion framework to evaluate the role of energy storage in the decarbonization of distributed power systems. The modeling framework…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Jiachen Mao , Mehdi Jafari , Audun Botterud

We consider some crucial problems related to the secure and reliable operation of power systems with high renewable penetrations: how much reserve should we procure, how should reserve resources distribute among different locations, and how…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun
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