Applying State Space Equations in the Designing of the outlet gate dam with two reservoirs and its smart

Abstract

Factors such as improper performance of gates, their failure, and inappropriate design of gate dimensions are likely to be followed by dangerous dam overtopping. In this article, the nonlinear equations expressing the flow rate through the dam bottom gate or intake as well as the water head inside the reservoir were converted into linear equations in the state space. Based on these linear equations, the inlet and outlet hydrographs of the dam were plotted and the equilibrium point of the diagrams duly determined. Upon adjusting the equilibrium point between the inlet and outlet hydrographs and the height (head) and volume of the reservoir water, the bottom gate or intake dimensions were calculated. The inflow and outflow flood hydrographs fully overlap in case the smart prediction and flood control system along with the pulse method is used for routing of the flood to the reservoir, such that the difference between the two is negligible. Therefore, the proposed smart system offers sufficient accuracy. Then, the digital controllers and other electronic devices were built using microcontrollers, sensors, ultrasonic distance meters, and radio wave transmitters and receivers. Different programming languages were employed in the design building of systems. The proposed flood prediction and control system is equipped with alarm systems to inform the operators in the case of emergencies. After their design and building, the systems were repeatedly used and tested in the laboratory and open channels. The results were favorable and of high accuracy. This is a simple, useful, and reliable method, and can be a suitable substitute for previous ones.

Keywords

• outlet gate control
• state-space equations
• linearizing equations
• design flood hydrograph
• smart gate