Simulation of dynamic processes during precedent control of the automated pump system taking into account the bypass channel

The precedent management of automated pumping systems requires consideration of the characteristics of dynamic processes in order to reduce or completely eliminate various non-stationary hydraulic processes, including cavitation. The article considers the conditions of local hydrodynamic oscillations in pump complexes, which contribute to the emergence or activation of these undesirable processes, with the construction of dynamic models based on the electric analogy method and the use of stability criteria for the theory of automatic control. A mathematical model of local dynamic processes was built, stability conditions and degree of oscillation were analyzed, and their numerical modeling was carried out. The definition of these conditions provides additional information for the reasonable selection of precedents in the automated control of the pump complex. Research objective: Determination of conditions for stability of local dynamic processes in case management of the automated pump system taking into account the bypass channel based on modeling using the electric analogy method. Materials and methods. To conduct the study, methods of mathematical modeling were used, in particular, the method of electric analogy, methods of the theory of automatic control using the apparatus of transfer functions, methods of numerical modeling using the SimInTech software complex. Results. A dynamic model of the pump system was built taking into account the bypass channel based on the electric analogy method. This allowed an analysis of the stability and degree of vibrancy of the fluid pumping process using methods of automatic control theory. The conditions obtained in analytical form, depending on the static and dynamic parameters of the pump complex, determined the boundaries of the regions on the pressure-flow characteristic with a certain degree of stability and oscillation of dynamic processes. Conclusion. The results of the study make it possible to determine the conditions under which local oscillatory processes occur in pumping complexes based on centrifugal pumps equipped with a bypass channel, which contribute to the emergence or activation of undesirable hydrodynamic processes. These conditions make it possible to create and use a base of precedents when controlling the operating modes of pump systems taking into account the oscillation factor.