Problems of Modeling and Optimization of Heat Supply Systems: Bi-Level Optimization of the Competitive Heat Energy Market

Abstract

In the chapter, one of widespread models of the organization of heat supply of consumers presented in the “Single buyer” format is considered. The scientific and methodical base for its description and research offers to accept the fundamental principles of the theory of hydraulic circuits, bi-level programming, principles of economics in the energy sector. Distinctive feature of the developed mathematical model is that it, along with traditionally solved tasks within the bilateral relations heat sources – consumers of heat, considers a network component with physics and technology properties of a heat network inherent in it, and also the economic factors connected with costs of production and transport of heat energy. This approach gives the chance to define the optimum levels of load of heat sources, providing the set demand for heat energy from consumers taking into account receiving with heat sources of the greatest possible profit and performance thus of conditions of formation of the minimum costs in heat networks during the considered time period. Practical realization of the developed mathematical model is considered by the example of the heat supply system with two heat sources, working for single heat networks. With the help of the developed model are carried plotting optimal load heat sources during the year, as well as a nomogram for determining the average tariffs for heat energy heat sources.