Mathematical model of control valves of three-tank system

Abstract

The paper is focused on development of a mathematical model of valves of a hydraulic system. Laboratory three tank model (Amira DTS200) was investigated and characteristics of its valves were measured. Consequently, the process of creating a mathematical model of the valves is described in detail. The three tank system is a classical modeling task but this paper focuses on nonlinearities which are present in real system and other differences between ideal mathematical model and real-time system. Especially hysteresis represents a big difference between ideal mathematical model and real-time system. Even thought all valves the system is equipped with are of the same type, big differences were observed between their characteristics. The approach to modeling of the system is not restricted to the particular system but can be used for many real-time hydraulic systems.