3. Mathematical Modeling of Electromagnetic Forces Due to Finite Length and Finite Width Effects of a Single-Sided Linear Induction Motor

The chapter delves into the mathematical modeling of electromagnetic forces in a single-sided linear induction motor (SLIM) with a rotor of finite length and width. It begins by outlining the model and coordinate system used for the analysis, followed by a detailed formulation of the field due to stator current and the current in the rotor sheet. The chapter then presents a step-by-step algorithm for the numerical solution of the problem, focusing on the calculation of total longitudinal and lateral components of flux density in the rotor sheet. The results and discussion section highlights the flux density distributions and rotor current distributions, as well as the electromagnetic forces exerted on the rotor. The chapter concludes with a comparison of the theoretical results with experimental data, providing valuable insights into the performance of SLIMs under realistic conditions. The detailed analysis and comparison with experimental data make this chapter a must-read for specialists interested in the optimization and practical application of SLIMs.