Design of optimal electromagnets of magnetic-levitation and lateral-stabilization systems for ground transportation based on solving inverse problems

Abstract

Scientific and technical works on development of transport with magnetic levitation of the vehicle have been reviewed and the main stages of design of such transport have been analyzed. An iterative algorithm for design of the elecFtromagnets used in systems of magnetic levitation and lateral stabilization of high-speed ground transportation has been constructed. The algorithm is based on solving the inverse problems of the theory of an electromagnetic field. Relationships for calculating the initial values of the sought parameters, which are very close to the exact solution, have been suggested. An additional stage of minimizing the electromagnet mass is introduced into the algorithm; as a result, the useful weight of a vehicle can be increased. In addition, the necessary and sufficient conditions for the object of design to have minimal mass were used. An example of implementation of the algorithm during design of a levitation electromagnet has been considered. The influence of eddy currents induced in the ferromagnetic rail during movement of a vehicle on the levitation force has been determined. A coefficient that allows one to take into account this effect has been determined. To justify the formula for calculations of a ferrorail width, the dependences of levitation-force components that arise upon shifting the electromagnet in respect to the ferrorail axis have been obtained. The results of investigations show that the methodology based on solving the inverse problems in designing electromagnets of levitation and lateral-stabilization systems is highly efficient. The proposed algorithm for optimal design of the electromagnets can be used in the design of similar devices in electric-instrument engineering.