Mathematical model and algorithmic process of solving the problem of the intra-day regulation of discharge of water through the Nizhny Novgorod low-pressure hydroelectric complex

Introduction of measures for intra-day of regulating runoff incoming water flow rates from the Nizhny Novgorod HPP and their discharge through the spillway of the Nizhny Novgorod low-pressure hydroelectric complex requires a specific algorithm for dispatcher actions of the created hydraulic system. At the same time, there are serious difficulties in predicting the water regime over time. As previous studies have shown there is a large unevenness and irregularity of water discharges not only during the same day, but also in the same periods of each day, as well as weeks, months, and years. Тhis article analyzes the boundary conditions when introducing measures of regulating runoff, a mathematical model and an algorithm for solving the problem of intraday regulation are developed, describing the sequence of actions for solving the problem of "smoothing" the flow rates supplied to the lower stream of the Nizhny Novgorod low-pressure hydroelectric complex. The implementation of the proposed measures is carried out according to a three-stage (or two-stage) schedule for regulating the flow rate and water level. The proposed measures will improve the hydraulic and hydrological conditions of the downstream reach of the Nizhny Novgorod low-pressure hydroelectric complex by which the necessary depths for navigation will be reached. Conditions have also been created to mitigate erosion processes.