Evaluation of Forces and Torques Generated by Toroidal Helicoidal Magnetic Fields

In this paper, the computation of forces and torques mutually applied between a helical toroidal magnet and a magnet shaped like an angular plane sector is illustrated. The evaluation considers the magnetostatic field hypothesis. The main aim of this study is to present a tool for performing fast and accurate evaluation of forces and torques based on the method of the magnetic charges referring to helical toroidal magnetic systems. The particular geometry of the case study concerns the development of unconventional configurations of electrical machines. These configurations should reduce the magnetic flux changing during the machine operation. A small change of the magnetic flux reduces all the losses related to the flux variation. The illustrated model for the computation of forces and moments also shows a starting point for a reliable analytical numerical evaluation of the external/internal actions applied to parts of other kinds of helical toroidal systems as stellarator and similar ones.