Legendre Polynomial Modeling of a Piezoelectric Transformer

A polynomial approach is used for solving wave propagation to forecast the performance of piezoelectric transformers (PTs). The method consists in integrating straightforwardly into the equation of motion via a delta function the continuity and boundary conditions. Resonance and anti-resonance frequencies, electrical and acoustical fields of the PTs are obtained. The energy harvest in the piezoelectric transformer is presented. The validation of the model is done through a comparison of our results against the 2D Finite Element Method ones.