Mathematical modeling of effectiveness of irrigation installations

The article is devoted to the development of a mathematical model for the efficiency of irradiation plants, which will allow to optimize the energy costs for plant reforestation in greenhouses, without economic losses. During the writing of the article, the work of a number of scientists conducting research in the field of studying chlorophyll, photosynthesis and processes occurring in the green leaf of the plant was analyzed. On their basis, a schematic structure of the photosynthetic apparatus of plants was created, and kinetic differential equations describing the structure and functioning of the photosynthetic chlorophyll apparatus of green plants were compiled. As a result of the work, mathematical expressions were obtained that describe the change in the concentrations of the basic substances involved in the formation of the photosynthetic apparatus and the accumulation of photosynthetic products. Solving these equations together, the characteristics of photosynthesizing objects in a dynamic mode will be obtained. The resulting system is the initial mathematical model describing the processes of utilization of radiant energy in the green leaf and the adjustment of the photosynthetic apparatus. Its optimal solution will be used in the experimental determination of the irradiation regime, which makes it possible to make maximum use of radiant energy by artificially planting plants in greenhouses.