Electromagnetic levitation is a method for containerless high-temperature treatment of metal, semiconductor, and alloy samples. This method is widely used to investigate the thermophysical and thermochemical properties of liquid melts as well as their crystallization kinetics. An alternating electromagnetic field induces an induction current inside the sample, resulting in a Lorentz force opposing the gravitational force. The Lorentz force lifts the sample, which is heated and melts in the levitation chamber due to the current flowing through it. In this paper, we present an analytical model of the sample levitation process, considering the structure of the electromagnetic levitation coil and options for its optimization for experiments. The kinetics of high-speed solidification of undercooled droplets in the chamber of the electromagnetic levitator is analyzed.