The relevance of the study is due to the low efficiency of the use ofsolar and geothermal energy in existing technological schemes.In this regard, this article is aimed at revealing the possibilities of using solarand geothermal energy for the integrated energy supply of isolated objects fromrenewable energy sources.The main approach to the study of this problem is the method of mathematicalmodeling based on the theory of graphs of the operation of the energy system,which makes it possible to analyze the effectiveness of the integrated use of solarand geothermal energies for heat and cold supply of isolated objects.Based on the developed mathematical model for managing the system ofintegrated energy supply of isolated objects from renewable energy sources, builtusing graph theory, the energy consumption during the year and the power of thebackup energy source in "peak" modes are determined. The materials of the article are of practical value for designers of integratedheat and cold supply systems for isolated objects.