The paper is aimed at working out the mathematical models and methods to solve the problems of operation of developing heat supply systems in a competitive market environment. The formation of new principles of functioning in this field is conditioned by the market mechanisms emerging due to the interaction between different owners of heat economy facilities within the single system. Today heat energy markets are represented by a great number of enterprises with different types of ownership that operate heat energy sources and heat networks. It is obvious that such a situation explicitly causes conflicts of interests among the heat energy market participants and unbalances the responsibility for production reliability, heat energy supply efficiency and its quality among the participants of centralized heat supply (heat sources – heat networks - consumers). A reasonable solution to this problem can make it possible to determine optimal conditions for operation of the developing heat energy market, and their implementation can increase technical, economic and energy efficiency of heat energy. These problems are solved by using the methods of hydraulic circuit theory, nonlinear dynamic programming and two level programming. The studies performed allowed the creation of mathematical models and methods for optimal construction of efficient heat supply systems, organization of their operation that ensure the realization of full energy saving potential in the field of heat supply to consumers, taking into account the interests of all participants of the heat energy market.
Abstract.Organizational model of the heat energy market on a unified heat supply organization is considered. An equilibrium mathematical model is proposed for the liberalized tariff setting conditions based on a microeconomic monopolistic market model. This mathematical model allows for taking into account energy production and transportation costs as part of a single economic criterion and to determine the supply and demand equilibrium for heat energy. The search for an optimal solution to the developed mathematical model of the unified heat supply organization is based on the univariate relaxation method with the subsequent use of methods of redundant design and simple iterative schemes. The developed mathematical model fully reflect the current "rules of the game" between heat energy producers and consumers and allow a maximum consideration for the interests of all participants of the heat supply process under physical and engineering constraints on heat energy sources and heat networks.
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