Modeling the water regime of the Kura cascade of reservoirs in the Republic of Azerbaijan

Abstract

This study was conducted in connection with the recent increasing attention to saving water resources in Azerbaijan and to studying the condition of the largest cascade of reservoirs on the Kura River. The article highlights some aspects of hydrological modeling of this cascade. Modeling occurs in several stages: an orographic scheme is created, a system of differential equations compiled on the basis of this scheme is solved, and the results are displayed. To carry out the simulation, a program was developed in the MATLAB environment. The program works in 2 modes – design and working. In the design mode, an orographic diagram is created, including the main objects of the cascade (reservoirs, rivers, canals) and their parameters are set (volume, water transfer, geodata about location). The program allows you to edit and add objects. When switching to the operating mode, according to the selected model, a system of differential equations is created corresponding to the current orographic scheme. The number of equations is equal to the number of reservoirs in the cascade. The equations are solved using MATLAB. The solution is carried out sequentially, starting from the first equation of the system. Then the results found are substituted into the 2nd equation. With each subsequent equation its complexity increases. The results are displayed in the form of obtained formulas and in the form of graphs reflecting the state of the cascade. Thus, the developed program has the ability to carry out visual design, and can also be successfully used to model similar reservoir cascades.