The main advantage of Electromagnetic Levitation Melting system (ELM) is to solve the pollution problem in metal melting process. This paper provides an analysis of the system large-signal behavior for modeling the dynamics of ELM that can be used for control design. Moreover, the high frequencies utilized by wireless ELM have posed a challenge for simulation software in the form of long simulation times. In order to reduce simulation time, it is proposed to replace the analysis of the high-frequency-electrical-signals by only the envelope-signals and still get all the information on the system dynamics. A larger than 92% decrease in simulation time is observed. Experimental results are presented to validate the analysis and the simulation results.