Establish a Model of a Piezoelectric Energy Harvesting System at Energy Level Using Lagrangian Equation
摘要
In response to the limitations of modeling piezoelectric energy harvester(PEH) and piezoelectric interface circuits separately for describing electromechanical coupling, the Lagrangian equation is extended to analyze electromechanical coupling systems. A unified method is proposed to describe PEH and circuits using kinetic energy, potential energy, and dissipated energy, which naturally couples the electromechanical system and more accurately analyzes the system. The simulation and experimental results show that the proposed method can effectively replicate the frequency and load characteristics of the PEH system models for single resistor, SEH, and S-SSHI, with high modeling accuracy.