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.
The pricing of thermal energy is an important component of the efficient operation of the heat supply system. The article deals with the calculation of the cost of heat for consumers and producers of heat as based on the optimization problem of operation modes of the heat supply system with its further reduction to the conditions of optimality. The latter is to be achieved on the basis of the Lagrange function, with undetermined Lagrange multipliers obtained in the calculation process to be interpreted as nodal (marginal) prices of heat. This approach allows one to determine the pricing at each node. Based on the calculation of nodal prices of heat we determine the cost of heat transportation. Backed by the methodological tools developed, we have performed a demonstration of the calculation of nodal prices of heat and developed an algorithm for calculation of nodal prices of heat generation and consumption and overall technical and economic performance indicators of the heat supply system.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.