Modal Synthesis and Dynamical Condensation Methods for Accurate Piezoelectric Systems Impedance Computation

This article proposes a new, simple and efficient approach, allowing one to reduce and construct piezoelectric super elements guaranteeing an accurate representation of the electrical impedance without the need for static correction. This allows the electronic coupling to be fully addressed in the optimization of passive shunted piezoelectric transducers, energy harvesting piezoelectric systems or dense distributed transducers. The model obtained through this approach is also versatile, of small size, and is therefore quite tractable for use in intensive computation algorithms. Two example systems are used to demonstrate the numerical accuracy and convergence properties of the proposed approach.