Analysis and Identification of a Dynamic Model for Proportional Solenoid

To solve the problem of difficult analysis and modeling of the strongly nonlinear characteristics of a proportional solenoid (PS) valve drive component, namely, the PS in engineering, a simplified mathematical model was established using a power bond graph, and the PS was numerically analyzed by Maxwell Simulation. After verifying the accuracy of the simulation model through experimental data, the static and dynamic output characteristics of the PS under different working conditions were analyzed in an auxiliary manner in the simulation model. Finally, the parameters of the mathematical model built were identified based on the principle of least squares (LSQ). The results show that the goodness of fit between the identified mathematical model and the static output characteristics of the PS reached 0.9866, and the relative error of the dynamic characteristics was 2%. The established model can provide engineers and technicians with a method to quickly analyze the dynamic characteristics of the PS and provide a basis for designing the control strategy of the PS’s current and force.