Abstract: Vacuum cold crucible levitation melting of alloys, including Ti-, Mg Al-and refractory metals alloys, was mathematically modeled and numerically simulated with Maxwell 3D software. The influence of the properties of inductive magnetic field on the energy utilization ratio and eddy current loss was investigated. The simulated results show that the height of the induction coil has a major impact. To be specific, since the eddy current is responsible for melting of the cylindrical alloy block, as the height of the induction coil increases, the magnetic field intensity, the energy utilization ratio and the eddy current loss decrease. When it comes to vacuum cold crucible levitation melting of alloys and/or metals, we suggest that the shortest possible height of the induction-coil may result in the optimized energy utilization ratio.