Abstract
The aim of this paper was to construct a mathematical model of a drive system with ironless permanent magnet synchronous linear motor and to animalize the influence of the magnetic field distribution function on the model’s accuracy and ease of simulation computation. The studied motor employs an U-shaped stationary guideway with permanent magnets placed perpendicularly to the motor’s direction of motion and a forcer with three sets of rectangular coils subjected to alternating external electrical voltage. The system’s parameters are both mechanical (number of magnets and coils, size of magnets, distances between magnets, size of coils) and electromagnetic (auxiliary magnetic field, permeability, coil’s resistance). Lorentz force allows for the transition from electromagnetic parameters to mechanical force, and Faraday’s law of induction creates a feedback between the forcer’s speed and coils voltage. An Ampere’s model of permanent magnet is used to determine the function of auxiliary magnetic field distribution throughout the stator. Two simplified distribution functions are introduced and studied. During validation, external current function is applied to each coil (serving as excitation), while the displacement of forcer in time is the output function. Model parameters are found via genetic algorithms such that the numerical solution of the model best fits experimental data. Several cases of motor operation are compared against simulation results showing good coincidence between computation and experiment.
Highlights
It is well known and documented that linear machines, including motors, generators, and actuators, generate motion/translation directly without rotation and transmission conversion devices, and due to their compact, simple and relatively cheep structure with a simultaneous high dynamic efficiency and performance, they are extensively applied in various branches of industry
Karnopp [6] studied linear electromagnetic motors composed of coils of a copper wire interacting with permanent magnets serving as mechanical dampers
The electric current I flowing through the rectangular coil with n conductor loops is the result of the external voltage function UG (t), the electromagnetic force i induced in the loop due to external magnetic flux change and the electromagnetic force caused by self inductance
Summary
It is well known and documented that linear machines, including motors, generators, and actuators, generate motion/translation directly without rotation and transmission conversion devices, and due to their compact, simple and relatively cheep structure with a simultaneous high dynamic efficiency and performance, they are extensively applied in various branches of industry. The system dynamics were analytically approximated and experimentally validated As it has been already pointed out, the linear motors are taking on bigger and bigger shares of the market for precise positioning systems. It presents a base model of a single winding in a vicinity of a C-shaped magnet and reports the values of Lorentz force acting on it as well as the value of electromagnetic induction.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
