A 6th nonlinear model of an electro-magnetic relief valve is formulated from fundamental principles of rigid body motion and fluid dynamics. Model parameters are determined from some experiments, parameter identification technique and the physical dimensions of the valve.
The dynamic responses of the nonlinear model also are obtained by experiments and simulations for the various operating points such as input current and supply flow rates variations.
Experimental results showed good agreement with the simulations results of nonlinear equations with respect to maximum overshoot, rising time, settling time and steady state values. These results mean that formulted model and identified parameters are accurate, and the resultant model and parameters can be used to predict the dynamic and static behavior of the electro-magnetic relief valves.
In case of increase of pilot or upstream orifice diameter or nozzle diameter, those parameters are predominent ones affecting on the stability and response characteristics of the electro-magnetic relief valves.
