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We consider a multi-stock continuous time incomplete market model with random coefficients. We study the investment problem in the class of strategies which do not use direct observations of the appreciation rates of the stocks, but rather…

Mathematical Finance · Quantitative Finance 2015-02-10 Nikolai Dokuchaev

In this paper, we propose a general operating scheme which allows the utility company to jointly perform power procurement and demand response so as to maximize the social welfare. Our model takes into consideration the effect of the…

Optimization and Control · Mathematics 2011-12-06 Longbo Huang , Jean Walrand , Kannan Ramchandran

The shift towards decentralized and renewable energy sources has introduced significant challenges to traditional power systems, necessitating innovative market designs. Local energy markets present a viable solution for integrating…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Markus Doepfert , Soner Candas , Hermann Kraus , Peter Tzscheutschler , Thomas Hamacher

This work fits in the context of community microgrids, where members of a community can exchange energy and services among themselves, without going through the usual channels of the public electricity grid. We introduce and analyze a…

Systems and Control · Computer Science 2019-04-23 Bertrand Cornélusse , Iacopo Savelli , Simone Paoletti , Antonio Giannitrapani , Antonio Vicino

We outline a mathematical model for pricing hydropower generation. The model involves a Markov decision process that reflects the seasonal variation in historical time series of water inflows. The procedure is computationally efficient and…

Optimization and Control · Mathematics 2025-08-08 Jonathan Pearce , Arash Khojaste , Golbon Zakeri , Geoffrey Pritchard

As processor performance advances, increasing power densities and complex thermal behaviors threaten both energy efficiency and system reliability. This survey covers more than two decades of research on power and thermal modeling and…

Systems and Control · Electrical Eng. & Systems 2025-08-08 David Atienza , Kai Zhu , Darong Huang , Luis Costero

Power curves capture the relationship between wind speed and output power for a specific wind turbine. Accurate regression models of this function prove useful in monitoring, maintenance, design, and planning. In practice, however, the…

Machine Learning · Statistics 2021-12-01 L. A. Bull , P. A. Gardner , T. J. Rogers , N. Dervilis , E. J. Cross , E. Papatheou , A. E. Maguire , C. Campos , K. Worden

The operation of industrial facilities is a broad field for optimization. Industrial plants are often a) composed of several components, b) linked using network technology, c) physically interconnected and d) complex regarding the effect of…

Systems and Control · Electrical Eng. & Systems 2022-06-30 Gregor Thiele , Theresa Johanni , David Sommer , Jörg Krüger

Urban Building Energy Modeling (UBEM) is an emerging method to investigate urban design and energy systems against the increasing energy demand at urban and neighborhood levels. However, current UBEM methods are mostly physic-based and…

Machine Learning · Statistics 2023-12-06 Ting-Yu Dai , Dev Niyogi , Zoltan Nagy

The optimal design of power converters requires accurate knowledge of the dissipation elements of its system to achieve the desired performance and security requirements. Calorimetric methods have surpassed classical electrical methods for…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Jose Miguel Sanz-Alcaine , Eduardo Sebastian , Francisco Jose Perez-Cebolla , Asier Arruti , Carlos Bernal-Ruiz , Iosu Aizpuru

We introduce a new and highly tractable structural model for spot and derivative prices in electricity markets. Using a stochastic model of the bid stack, we translate the demand for power and the prices of generating fuels into electricity…

Pricing of Securities · Quantitative Finance 2015-05-27 Rene Carmona , Michael Coulon , Daniel Schwarz

We examine the problem of weaknesses in frameworks of conceptual modeling for handling certain aspects of the system being modeled. We propose the use of a flow-based modeling methodology at the conceptual level. Specifically, and without…

Computers and Society · Computer Science 2017-09-13 Sabah Al-Fedaghi , Abdulaziz AlQallaf

The problem of heat system pricing is considered. A direct extension of locational marginal prices (LMP) in electricity markets to heat systems may lead to revenue inadequate issues. The underlying reason for such a problem is that, unlike…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Xinyi Yi , Ye Guo , Hongbin Sun

The sum-utility maximization problem is known to be important in the energy systems literature. The conventional assumption to address this problem is that the utility is concave. But for some key applications, such an assumption is not…

Computer Science and Game Theory · Computer Science 2021-12-07 Chao Zhang , Samson Lasaulce , Li Wang , Lucas Saludjian , H. Vincent Poor

We consider a mechanism design problem for energy procurement, when there is one buyer and one seller, and the buyer is the mechanism designer. The seller can generate energy from conventional (deterministic) and renewable (random) plants,…

Optimization and Control · Mathematics 2014-01-23 Hamidreza Tavafoghi , Demosthenis Teneketzis

In this paper, we study the peak-aware energy scheduling problem using the competitive framework with machine learning prediction. With the uncertainty of energy demand as the fundamental challenge, the goal is to schedule the energy output…

Data Structures and Algorithms · Computer Science 2019-11-20 Russell Lee , Mohammad H. Hajiesmaili , Jian Li

We consider the coupled problems of optimal thermostat programming and optimal pricing of electricity. Our framework consists of a single user and a single provider (a regulated utility). The provider sets prices for the user, who pays for…

Optimization and Control · Mathematics 2015-04-16 Reza Kamyar , Matthew M. Peet

The short-term operation of a power system is usually planned by solving a day-ahead unit commitment problem. Due to historical reasons, the commitment of the power generating units is decided over a time horizon typically consisting of the…

Optimization and Control · Mathematics 2019-03-12 Salvador Pineda , Ricardo Fernandez-Blanco , Juan Miguel Morales

The fast uptake of distributed energy resources (DERs) presents increasing challenges for managing hosting capacity in distribution networks. Existing solutions include direct load control, operating envelopes, and price-based control…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Jiawei Zhang , Gregor Verbic , Frederik Geth , Mohsen Aldaadi , Rahmat Heidari , Julio Braslavsky

This paper introduces the design of a demand response network control strategy aimed at thermostatically controlled electric heating and cooling systems in buildings. The method relies on the use of programmable communicating thermostats,…

Optimization and Control · Mathematics 2011-12-07 Simon Parkinson , Dan Wang , Curran Crawford , Ned Djilali