Improvement of the Non-periodic Energy Harvesting Behavior of a Non-ideal Magnetic Levitation System Utilizing Internal Resonance

This research paper investigates the dynamics and control of a non-ideal magnetic levitation (Maglev) system, with its potential for energy harvesting. The system in view consists of a center body suspended by magnetic forces on the top and bottom with a shaker at the base.

The study aims to explore the behavior of the Maglev system under varying conditions and its potential to enhance energy harvesting performance.

Approximate solution of the nonlinear Maglev system oscillation is obtained by implementing a perturbation technique referred to as the method of multiple scales. A fourth-order numerical method is applied to obtain the time response and the outcomes are visually presented through Poincare maps, phase plane, bifurcation analysis and parametric variations.

This research considered capacitance adjustment to induce internal resonance, yielding pronounced periodic oscillations with varying excitation voltage. Detailed analyses demonstrate periodic motion for the electric shaker's charge and for the middle block displacement, affirming analytical predictions.

The study emphasizes internal resonance potential for enhancing average power output and highlights a direct proportional relationship between the middle block and shaker’s velocity at low frequencies. Under internal resonance, average harvested power increases by approximately compared to no internal resonance case, showcasing its effectiveness in enhancing energy harvesting performance.