Extended lumped parameter electromechanical model of piezoelectric actuators

Abstract

The lumped parameter electromechanical model of piezoelectric actuators, proposed former in the literature, is extended by the state-varying capacitance and Voigt-Kelvintype linear creep effect. This relates the converse piezoelectric effect, i.e. actuator displacement, to the remnant polarization of piezo-ceramic and associated creeping charge flow. The proposed modeling extension interconnects both the electrical and mechanical domains and provides a physically reasonable cause-effect relationship of the creep effect. Furthermore, the role of the initial hysteresis state, often omitted when modeling the piezoelectric actuators, is emphasized and explained in details, while using the play-and stop-type hysteresis operators. A series of experimental model verification are accomplished on the standard piezoelectric stack actuator when measuring the controllable input voltage and output displacement.

Piezoelectric Energy Harvesting Solutions: A Review

“…Goldfarb and Celanovic [ 115 , 116 ] proposed in their work the lumped parameter electromechanical model, managing to postulate the nonintuitive behavior of piezoelectric transducers. An extended lumped parameter was proposed by Ruderman et al [ 117 ], where they incorporated state-varying capacitance and Voigt–Kelvin-type linear creep effects into the model.…”

On Energy Harvesting Using Piezoelectric Transducer with Two-Port Model Under Force Excitation

“…The Maxwell-slip model structure used to describe the voltage-charge hysteresis in [12], [14] coincides with the Prandtl-Ishlinskii (P-I) stop-type hysteresis [16]. It resides in the electrical domain and relates the transducers electrical voltage to charge.…”

“…The energy can be obtained by numerical integration of equations (14). The energy losses dissipated in the PE transducer due to damping and coupling effects can be expressed by…”

“…A more detailed view of the LPEM model and its inclusion in the two-port network model is later described in Section II. An extended lumped parameter was proposed in [14] where state-varying capacitance and Voigt-Kelvin-type linear creep effects were incorporated into LPEM model and have been experimentally demonstrated on a standard commercial PE stack actuator.…”