dynamic simulation of a high pressure regulator

in this paper, the dynamic simulation for a high pressure regulator is performed to obtain the regulator behavior. to analyze the regulator performance, the equation of motion for inner parts, the continuity equation for diverse chambers and the equation for mass flow rate were derived. because of nonlinearity and coupling, these equations are solved using numerical methods and the results are presented. additionally, the dynamic analysis results consist of the output pressure change versus time, the displacement of the moving parts versus time, the regulator mass flow rate versus time and the output pressure versus mass flow rate in different controlling spring pre-loads. furthermore, the sensitivity analysis is carried out and the main parameters affecting the regulator performance are identified. finally, the results of the dynamic simulation are validated by comparing them with the experimental results.