Despite increasing use of proportional hydraulic valvesin different industries such as traortation systems, mining, aviation, etc., the use of numerical methods give more sights into the respective roles of the various portions of the plunger and stationary core geometry, and provide a better understanding of the working principle of these hydraulic valves. Investigation on effecting parameters on their performance characteristics and predicting these parameters and improving them have considerable importance.In this study, effecting parameters such as different soft magnetic materials, dimensional parameters of stationary core and plunger and diameter of used wire, applied current and voltage have been investigated. The force calculation algorithm is also used to determine the force distribution pattern around the plunger surface and to provide a detailed analysis of the solenoid structure. In the first section of this thesis, different soft magnetic materials to achieve the magnetic force-displacement characteristic curve have been investigated using electromagnetic analysis by ANSYS software package and the results have been compared to each other.ANSYS was employed for the analysis and design optimization, incorporating the non-linear characteristics of the magnetic material. Different options available in ANSYS for calculating the force were compared. ANSYS offers two search methods to find the magnetic force: Maxwell stress tensor (MTS) and virtual work methods. MTS has been employed in this thesis.Then, dimensional parameters of stationary core and plunger, air gap and different currents investigated and related curves have been extracted. Also, the coupled field analysis to investigate of the effects of magnetic and electrical fields on thermal and structural stresses and deformations has been explained. The simulation results have been compared with experimental results and the satisfactory results obtained.The distribution of mechanical stress on plunger surface by applying magnetic force for specified current density has been plotted. In the second section, magnetic force based on the performace parameters using design of experiments, regression analysis and analysis of variance have been investigated by Minitab software package. The equations to predict the magnetic force for other performance parametersin three different soft magnetic materials were also obtained.Also, a Simulink model using Matlab softwareto simulate the dynamic and steady state response of PHV in terms of voltage as input parameter and displacement and velocity of spool as output parameters has been obtained. This model consists of the solenoid model and the spool model separately. It predicts the static and dynamic behaviors of PHV satisfactory. Keywords: Proportional hydraulic valve, Magnetic analysis, Design of experiments, Control model of PHV.
