The article considers an experimental study of a two-circuit solar system with thermosiphon circulation in the southern region of Kazakhstan. It presents a new concept of solar heat supply, including a flat solar collector, a thermally insulated translucent double-glazed window with reduced pressure, and a thin-walled wavy stainless steel pipe as a coolant. In addition, the article describes a heat pump in which a spiral-swirled heat exchanger is used both as a heat exchanger and as an evaporator. The heat exchanger tubes are arranged one above the other to increase the area and intensity of heat transfer. The authors have created a mathematical proof of the key parameters of the thermosiphon effect in the solar heat supply system and modified the simulation of the solar installation to work interactively. The main purpose of this work is to develop and implement models and confirm key parameters for automated control and testing of the solar collector + heat pump system to improve the performance of a single-circuit solar system with a heat pump using mathematical and computer methods of temperature forecasting. This includes the coordination and development of scientific and technical maintenance systems and the design of operating modes of the system.