Abstract
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.
Highlights
Structural transformations in the heat power industrial of Russia, associated with the processes of liberalization in the energy sector in the 90s of the twentieth century, led to new economic relations among producers and consumers of heat energy and the creation of a heating market
We propose to use an approach for calculating nodal prices for heat energy based on the modes optimization in heat supply system (HSS) with its further reduction to the optimality conditions based on the Lagrange function, while the indeterminate Lagrange multipliers obtained in the calculation process will be interpreted as nodal prices for heat energy
The method for calculating the nodal prices for heat energy in heat supply systems is developed. It is based on the problem of modes optimization in heat supply system according to the criterion of minimum total costs for the production and transportation of heat energy
Summary
Structural transformations in the heat power industrial of Russia, associated with the processes of liberalization in the energy sector in the 90s of the twentieth century, led to new economic relations among producers and consumers of heat energy and the creation of a heating market. The calculation of nodal prices for heat energy is based on the use of optimality conditions for the problem of modes optimizing in HSS, and above all its dual variables (indeterminate Lagrange multipliers) [11, 12]. According to the calculated nodal prices for heat energy for consumers and the obtained optimal value of the total costs in the HSS, it is possible to determine the amount of profit that the UHSO will receive when supplying consumers with heat energy, EUR:. The algorithm for calculating the nodal prices of production and consumption of heat energy and obtaining technical and economic indicators of HSS, including the costs of production and transportation of heat energy, as well as the profit of UHSO from the sale of heat energy to consumers, in the problem of modes optimizing in HSS based on the Lagrange multiplier method is as follows: Step 1.
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