Mathematical model of the pump with limited initial information
Journal Title: Наукові горизонти. Scientific Horizons - Year 2018, Vol 67, Issue 4
Abstract
The publication deals with the peculiarities of construction of structural schemes of pumps and fans. A mathematical description of such installations is performed using nonlinear differential equations. There is also a need to identify a large number of parameters of the research object. The proposed structural scheme takes into account the linear relationship between pump pressure and motor torque. Information about hydraulic resistance and plant performance is not used. The position of the working point was determined by the known speed of the wheel and pressure. The automatic control system involves maintaining a steady pressure while increasing installation performance. The increase in head loss occurs synchronously with the increase in engine load. The frequency converter increased the speed of the engine by the algorithm of stabilization of the pressure. The estimation of energy indices in the whole range of water consumption is carried out with the help of a specialized program WinCAPS. This allowed determining the power consumption of the pump, the efficiency, the current of the engine over the entire range of water consumption. The analysis of energy indices was carried out at fixed intervals of time. The research takes into account the inertia of processes in water supply systems. The studies confirmed the assumption of linear dependence of engine torque and head loss in the pump. Application of features of the mechanical characteristics of the asynchronous electric motor and the characteristics of the pump pressure can solve the problem of determining energy losses.
Authors and Affiliations
O. Sokolovskyi
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