In this paper, theoretical modeling and analysis of a diamagnetic levitation-based vibration energy harvester having low resonance frequency (< 2 Hz) is presented. The system fundamentally consists of four objects, i.e., a floating magnet, lifting magnet and two diamagnetic plates. We adopt the magnetic dipole model for modeling the attractive force between the floating and lifting magnets, and the thin coil model and the discrete volume method for modeling the diamagnetic repulsive forces come from two diamagnetic plates. In addition, an equilibrium position of the floating magnet on horizontal and vertical directions are discussed. In the presented model, the influence of the tilting motion of the floating magnet and the electromagnetic effect of the induction coil are neglected. Finally, a time history response analysis of the floating magnet is performed by solving the equations of motion. The results show that the presented harvester has the resonance frequency of approximately 2 Hz.
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