基于等效线性化方法的非线性振动能量采集器功率分析

Output power analysis is an important basis for structural design and parametric selection of vibration energy harvester. Here, aiming at the complexity of traditional power analysis methods, taking a type of electromagnetic vibration energy harvester as the study object, a new power analysis method of nonlinear vibration energy harvester was proposed. Its key was to do equivalent linearization treatment for nonlinear vibration equation and perform power optimization analysis with the transfer function method. Firstly, based on the nonlinear magnetic force and Kirchhoff current law, a generalized 1.5-DOF seventh order nonlinear electromechanical coupled model for harvester was established. Secondly, the dynamic frequency method was used to solve the control equation of the system, and high-order harmonic components were used to replace nonlinear terms in the equation, and realize the equivalent linearization of the original system control equation. Finally, the output power expression was derived by using the transfer function method, and effects of equivalent linearization system load, electromechanical coupled coefficient and other factors on output power were analyzed. The results showed that the proposed power analysis based on equivalent linearization can effectively solve complex problems brought by traditional nonlinear energy harvester system power analysis methods, and have good applicability.