Mathematical Modelling of Prospective Transport Systems Electromechanical Energy Transducers on Basis of the Generalized Model

Currently, the development of semiconductor technology and microprocessor control systems contributes to a wider application in transport of electromechanical transducers with permanent magnets and reactive inductor. Due to the high cost and complexity of manufacturing traction electric machines, a very important issue is the development of their mathematical models, which would allow to investigate the properties of such systems with the least error of results. The most widely used approaches to the creation of mathematical models either give a significant error due to the significant non-linearities that such electromechanical transducers possess, or require significant computational power, which complicates their use in control systems. We have proposed a method for creating mathematical models based on the Lagrange equations, which allows us to simplify the model while maintaining the accuracy of calculations. Compiled generalized mathematical models for rotative and linear electromechanical transducers, identified the parameters of electromechanical transducers and compiled a block diagram of mathematical models. Also, a comparative analysis of the results obtained in the simulation and trial operation of one of the converters - the power switched reluctance motor was conducted. The deviation of the results was from 3.13 to 7.4%, which indicates the adequacy of the approach used.