Search for a market equilibrium of Cournot-Nash in the competitive heat market

Penkovskii, Andrey; Stennikov, Valery; Mednikova, Ekaterina; Postnikov, Ivan

doi:10.1016/j.energy.2018.07.086

Cited by 25 publications

(3 citation statements)

References 6 publications

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“…Depending on the task and forms of organization of the heat business, various approaches are used to solve them, while the basic models for their description and mathematical modeling are the theory of hydraulic circuits and system researches in energy. The developed scientific and methodological support is universal and allows you to calculate HSS of any scale, power and take into account not only different types of heat sources, but also their number [8][9][10].…”

Section: Models and Methodsmentioning

confidence: 99%

Methodological bases of organization heat supply in conditions of different interests of subjects of relationships

2023

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Heat supply is the most important area for the provision of energy services to a wide range of consumers. This industry determines the well-being of society, social stability and competitiveness of the economies of many countries of the world. The processes of energy liberalization initiated in the early 1990s led to the emergence of new forms of heat supply management based on market interaction among producers and consumers of heat energy. In market conditions, the problem of optimizing heat supply systems becomes much more complicated, and its structuring becomes multivariate depending on the characteristics of the industry organization. To solve the problems of optimal functioning and development of heat supply systems in changing conditions, along with existing optimization methods, it becomes necessary to use new approaches focused on solving problems in some specific uncertain situations characterized by conflicting interests of the parties, and often defined as conflict. The paper presents a comprehensive scientific and methodological approach based on mathematical modeling for solving problems of managing the development and functioning of heat supply systems in a market economy.

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Section: Models and Methodsmentioning

confidence: 99%

Methodological bases of organization heat supply in conditions of different interests of subjects of relationships

2023

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“…The costs of heat production by a heat source have the form of a squared relationship. They were obtained by approximating actual heat supply data depending on the heat source costs by the method of least squares [11,12], EUR:…”

Section: Dhs Can Be Described By a Hydraulic Network With M Nodes Andmentioning

confidence: 99%

Hierarchical management model of heat supply to consumers

Penkovskii

2020

E3S Web Conf.

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The article proposes a hierarchical management model for heat supply to consumers based on the method of bilevel programming. An organizational model of heat supply to consumers in the form of a Unified Heat Supply Organization in a two-tier control system is considered, when the regulators (regional tariff service) manages tariffs for consumers, and heat sources cover the given demand from consumers from the condition of obtaining maximum profit. With the help of bilevel approach, the technical and economic indicators of the district heating are calculated. The proposed mathematical model makes it possible to take into account the technical and economic characteristics of heat sources and heat networks, the interests of the participants in the process of heat supply to consumers and to determine the optimal conditions for controlling the functioning of district heating systems.

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“…After testing, the characteristics are corrected taking into account real values of various internal and external factors such as vapor pressure in boiler, type and cost of used fuel, outdoor temperature and so on. Our experience shows that the best approximation of the correspondence between costs and volumes of produced heat is given by the function [13], EUR. : -is coefficient at semivariable costs of heat network; -is a unit cost of electricity, EUR /kWh; -is pumping station efficiency,%.…”

Section: Calculation Of Nodal Prices For Heat Energy In Hssmentioning

confidence: 99%

Calculation of Nodal Prices for Heat Energy in Heat Supply Systems

2020

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The article is devoted to the calculation of nodal prices for heat energy in heat supply systems. The problem, mathematical model and method of calculating nodal prices of heat energy for all consumers of the heat supply system considered, taking into account the different cost of heat production by sources, optimal flow distribution, and placement of consumers in the heat network (distance from the source). As the main computational tool for calculating nodal prices for heat energy, the Lagrange multiplier method used in the problem of modes optimizing in heat supply system, which allows explaining in detail the formation of the price for heat energy in each node. With the help of the proposed methodological support, practical research has been carried out for real heat supply system.

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Search for a market equilibrium of Cournot-Nash in the competitive heat market

Cited by 25 publications

References 6 publications

Methodological bases of organization heat supply in conditions of different interests of subjects of relationships

Methodological bases of organization heat supply in conditions of different interests of subjects of relationships

Hierarchical management model of heat supply to consumers

Calculation of Nodal Prices for Heat Energy in Heat Supply Systems

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