Dynamic Modeling of Linear Permanent Magnet Synchronous Motors: Determination of Parameters and Numerical Co-simulation

This work proposes a systematic procedure for the dynamic modeling of linear permanent magnet synchronous motors comprising the parameter determination and the development of a numerical co-simulation setup combining mechanical, electrical, and magnetic analysis. A theoretical model is obtained based on the equivalence between the rotary and linear machines, and its parameters are determined through numerical analysis and verified by experimental tests on a prototype of a slotless tubular electromagnetic actuator with a double quasi-Halbach array of permanent magnets. A co-simulation environment using the finite element model of the actuator is developed to demonstrate that this tool can also be used for the dynamic analysis of linear machines. The validation of the analytical and co-simulation models is carried out with experimental tests performed on the prototype under three different open-loop voltage excitation signals in the synchronous reference frame: step, sinusoidal, and triangular wave. The proposed modeling, parameter determination procedure, and co-simulation setup can be seen as reliable tools for the analysis of the machine dynamic performance and future control design without the need for a prototype.