the goal is to build this LIM as cheap as possible while showing some levitation

no controlling systems, and no code, just hardware showing magnetic induction or the other thing

electromagents

possible software that may help

  1. Finite Element Analysis (FEA) Software:

FEA software allows detailed 2D and 3D modeling of the motor's electromagnetic fields, magnetic circuits, flux densities, forces, and performance characteristics. They can analyze complex geometries, materials, and operating conditions.

  1. Analytical/Circuit-based Modeling Tools:

These tools use analytical equations, lumped parameter models, and circuit representations to simulate the motor's behavior, including magnetic fields, losses, and dynamic performance. They are often faster than FEA for initial design iterations.