Theoretical and experimental analysis of a piezoelectric plate connected to a negative capacitance at MHz frequencies

In this paper, a theoretical and experimental study of the electric impedance of a piezoelectric plate connected to a negative capacitance is performed in the MHz frequency range. The negative capacitance is realized with a circuit using current conveyors (CCII+). This circuit allows us to achieve important values of negative capacitance, of the same order of the static capacitance of the piezoelectric plate studied. Mason's model is considered for the theoretical characterization of the piezoelectric plate connected to the negative capacitance circuit. The experimental results show a large tunability of the frequency of the piezoelectric parallel resonance over a range of 1.1 MHz to 1.28 MHz. Moreover, according to the value of the negative capacitance, the effective electromechanical coupling factor of the piezoelectric plate is evaluated. With a very good agreement with the theoretical estimation, an increase of approximately 50% of the effective electromechanical coupling factor is experimentally measured.

[1]  A. Ballato,et al.  Modeling piezoelectric and piezomagnetic devices and structures via equivalent networks , 2001, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[2]  Xiujuan Lin,et al.  The electric field, dc bias voltage and frequency dependence of actuation performance of piezoelectric fiber composites , 2013 .

[3]  Manuel Collet,et al.  The power output and efficiency of a negative capacitance shunt for vibration control of a flexural system , 2013 .

[4]  T. Rhyne.  An improved interpretation of Mason's model for piezoelectric plate transducers , 1978, IEEE Transactions on Sonics and Ultrasonics.

[5]  M. Lethiecq,et al.  Measurement of losses in five piezoelectric ceramics between 2 and 50 MHz , 1993, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[6]  K. Smith,et al.  A second-generation current conveyor and its applications , 1970, IEEE Transactions on Circuit Theory.

[7]  K. S. Van Dyke,et al.  The Piezo-Electric Resonator and Its Equivalent Network , 1928 .

[8]  J. Vasseur,et al.  Bragg band gaps tunability in an homogeneous piezoelectric rod with periodic electrical boundary conditions , 2014 .

[9]  Stewart Sherrit,et al.  Accurate equivalent circuits for unloaded piezoelectric resonators , 1997, 1997 IEEE Ultrasonics Symposium Proceedings. An International Symposium (Cat. No.97CH36118).

[10]  M. Redwood.  Experiments with the Electrical Analog of a Piezoelectric Transducer , 1964 .

[11]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[12]  O. B. Wilson,et al.  Introduction to the Theory and Design of Sonar Transducers , 1985 .

[13]  R. Meyer,et al.  Performance of transducers with segmented piezoelectric stacks using materials with high electromechanical coupling coefficient , 2013, 1301.6161.

[14]  Maneesha Gupta,et al.  Realizations of Grounded Negative Capacitance Using CFOAs , 2011, Circuits Syst. Signal Process..

[15]  Shu-yau Wu.  Method for Multiple Mode Piezoelectric Shunting with Single PZT Transducer for Vibration Control , 1998 .

[16]  W. P. Mason,et al.  Piezoelectric Crystals and Their Applications to Ultrasonics , 1951 .

[17]  A. Mezheritsky.  A method of "weak resonance" for quality factor and coupling coefficient measurement in piezoelectrics , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[19]  A. Preumont,et al.  Vibration damping with negative capacitance shunts: theory and experiment , 2008 .