Pull-in stroke of both solenoid models after a voltage step at time t=0
A voltage step is applied to both solenoid models at time t=0. The armatures of both models and therewith connected loads are pulled from their rest position at maximum air gap length to their minimum position that is due to a stopper. As a reference, simulation results obtained with a dynamic model based on stationary FEA look-up tables (not part of this library) are included. Note that these reference results are valid for the default supply voltage v_step=12V DC and the default load mass m_load=0.01kg only!
Set the tolerance to 1e-7 and simulate for 0.05 s. Plot actuator current, force and position of the two magnetic network models and the FEA-based reference vs. time (each quantity in one common plot window):
Plot window for current: simpleSolenoid.p.i // rapid current rise indicates low inductance of simple network model advancedSolenoid.p.i // current rise slower, better match with FEA reference comparisonWithFEA.y // current obtained from dynamic model based on stationary FEA look-up tables Plot window for force: simpleSolenoid.armature.flange_a.f // reluctance force of simple actuator model advancedSolenoid.armature.flange_a.f // reluctance force of advanced actuator model comparisonWithFEA.y // force obtained from dynamic model based on stationary FEA look-up tables Plot window for position: simpleSolenoid.x // armature position of simple actuator model advancedSolenoid.x // armature position of advanced actuator model comparisonWithFEA.y // position obtained from dynamic model based on stationary FEA look-up tables
The characteristic current drop during pull-in is due to both armature motion and increasing inductance with decreasing air gap length. Bouncing occurs when armature and load of each model arrive at the stopper at minimum position. Although the pull-in times of the two magnetic network models are relatively close to the time obtained with the reference model, the accuracy of the advanced solenoid model is better, as one can tell from a comparison of the current rise at the beginning of the stroke.