Articles | Volume 4, issue 1
J. Sens. Sens. Syst., 4, 217–227, 2015
J. Sens. Sens. Syst., 4, 217–227, 2015

Regular research article 12 Jun 2015

Regular research article | 12 Jun 2015

Increasing the sensitivity of electrical impedance to piezoelectric material parameters with non-uniform electrical excitation

K. Kulshreshtha1, B. Jurgelucks1, F. Bause2, J. Rautenberg2, and C. Unverzagt2 K. Kulshreshtha et al.
  • 1Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany
  • 2Elektrische Messtechnik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

Abstract. To increase the robustness and functionality of piezoceramic ultrasonic sensors, e.g. for flow, material concentration or non-destructive testing, their development is often supported by computer simulations. The results of such finite-element-based simulations are dependent on correct simulation parameters, especially the material data set of the modelled piezoceramic. In recent years several well-known methods for estimation of such parameters have been developed that require knowledge of the sensitivity of a measured behaviour of the material with respect to the parameter set. One such measurable quantity is the electrical impedance of the ceramic. Previous studies for radially symmetric sensors with holohedral electrode setups have shown that the impedance shows little or no sensitivity to certain parameters and simulations reflect this behaviour making parameter estimation difficult. In this paper we have used simulations with special ring-shaped electrode geometry and non-uniform electrical excitation in order to find electrode geometries, with which the computed impedance displays a higher sensitivity to the changes in the parameter set. We find that many such electrode geometries exist in simulations and formulate an optimisation problem to find the local maxima of the sensitivities. Such configurations can be used to conduct experiments and solve the parameter estimation problem more efficiently.

Short summary
In this paper we show that for radially symmetric piezoceramic disks non-zero sensitivity of the electrical impedance to the whole material parameter set can be computed using a system of 3-ring electrodes and non-uniform electrical excitation. We formulate an optimisation problem for increasing this sensitivity. However, the system displays multiple optimal configurations for the radii of said ring electrodes and we have shown some results from optimising such configurations using simulations.