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In this paper, we formulate a method for minimising the expectation value of the procurement cost of electricity in two popular spot markets: {\it day-ahead} and {\it intra-day}, under the assumption that expectation value of unit prices…

Economics · Quantitative Finance 2023-03-03 Naoya Yamaguchi , Maiya Hori , Yoshinari Ideguchi

We consider the efficiency of chemical energy extraction from the environment by the growth of a copolymer made of two constituent units in the entropy-driven regime. We show that the thermodynamic nonlinearity associated with the…

Statistical Mechanics · Physics 2015-05-13 Massimiliano Esposito , Katja Lindenberg , Christian Van den Broeck

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

Decarbonizing electric grids is a crucial global endeavor in the pursuit of carbon neutrality. Taking carbon emissions from generation into account when pricing electricity usage is an essential way to achieve this goal. However, such…

Optimization and Control · Mathematics 2024-04-19 Yue Chen , Changhong Zhao

Due to the new carbon neutral policies, many district heating operators start operating their combined heat and power (CHP) plants using different types of biomass instead of fossil fuel. The contracts with the biomass suppliers are…

Optimization and Control · Mathematics 2020-06-25 Ignacio Blanco , Daniela Guericke , Juan M. Morales , Henrik Madsen

Energy minimization methods are a classical tool in a multitude of computer vision applications. While they are interpretable and well-studied, their regularity assumptions are difficult to design by hand. Deep learning techniques on the…

Optimization and Control · Mathematics 2019-08-20 Jonas Geiping , Michael Moeller

This review presents the set of electricity price models proposed in the literature since the opening of power markets. We focus on price models applied to financial pricing and risk management. We classify these models according to their…

Mathematical Finance · Quantitative Finance 2021-07-30 Thomas Deschatre , Olivier Féron , Pierre Gruet

Power system models are a valuable and widely used tool to determine cost-minimal future operation and investment under political or ecological boundary conditions. Yet they are silent about the allocation of costs of single assets, as…

Physics and Society · Physics 2020-10-27 Fabian Hofmann

The widespread use of industrial refrigeration systems across various sectors contribute significantly to global energy consumption, highlighting substantial opportunities for energy conservation through intelligent control design. As such,…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Rohit Konda , Jordan Prescott , Vikas Chandan , Jesse Crossno , Blake Pollard , Dan Walsh , Rick Bohonek , Jason R. Marden

The rapid growth of data centres poses an evolving challenge for power systems with high variable renewable energy. Traditionally operated as passive electrical loads, data centres, have the potential to become active participants that…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Mehmet Turker Takci , James Day , Meysam Qadrdan

We develop a mathematical framework to jointly schedule water and electricity in a profit-maximizing renewable colocated water desalination plant that integrates both thermal and membrane based technologies. The price-taking desalination…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Ahmed S. Alahmed , Audun Botterud , Saurabh Amin , Ali T. Al-Awami

The context of the present paper is stochastic thermodynamics - an approach to nonequilibrium thermodynamics rooted within the broader framework of stochastic control. In contrast to the classical paradigm of Carnot engines, we herein…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Rui Fu , Olga Movilla Miangolarra , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

Flexible electricity networks continuously coordinate and optimize operations through ICT systems. An overlay data grid conveys information about the state of the electricity grid, as well as the status of demand and production of…

Computers and Society · Computer Science 2020-06-05 Niels Ørbæk Chemnitz , Philippe Bonnet , Irina Shklovski , Sebastian Büttrich , Laura Watts

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes

Time-of-use (ToU) pricing is widely used by the electricity utility to shave peak load. Such a pricing scheme provides users with incentives to invest in behind-the-meter energy storage and to shift peak load towards low-price intervals.…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Dongwei Zhao , Hao Wang , Jianwei Huang , Xiaojun Lin

The conventional practice of retail electric utilities is to aggregate customers geographically. The utility purchases electricity for its customers via bulk transactions on the wholesale market, and it passes these costs along to its…

Optimization and Control · Mathematics 2017-08-08 Siddharth Patel , Raffi Sevlian , Baosen Zhang , Ram Rajagopal

Geothermal field modeling is often associated with uncertainties related to the subsurface static properties and the dynamics of fluid flow and heat transfer. Uncertainty quantification using simulations is a useful tool to design optimum…

Geophysics · Physics 2021-12-13 Hussein Hoteit , Xupeng He , Bicheng Yan , Volker Vahrenkam

The coordinated operation of interconnected but locally controlled electricity markets is generally referred to as a "coupling". In this paper we propose a new mechanism design for efficient coupling of independent electricity markets. The…

Optimization and Control · Mathematics 2021-01-13 Alfredo Garcia , Roohallah Khatami , Ceyhun Eksin , Furkan Sezer

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

General Finance · Quantitative Finance 2021-02-03 Sergey Rashkovskiy

Power models are needed to assess the power consumption of cellular Base Station (BS) on an abstract level. Currently available models are either too simplified to cover necessary aspects or overly complex. We provide a parameterized linear…

Information Theory · Computer Science 2014-11-07 Hauke Holtkamp , Gunther Auer , Vito Giannini , Harald Haas