Journal: Volume 22, No. 1, 2017
Pages: 33 – 44
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Principles and methods of constructing mathematical models of disk piezoelectric transformers with sector electrodes

Оleg Petrishchev, Constantine Bazilo

Abstract

Piezoelectric disks with partial covering by electrodes of one or two surfaces are often used to create various functional piezoelectronic devices. Disks with sector covering by electrodes are almost the main element of many microelectromechanical systems. Currently, there are no reliable and valid methods of constructing of mathematical models of piezoelectric transformers, which could be used as a theoretical basis for characteristics and parameters calculating of this class of functional elements of modern piezoelectronics. As a result of research of mathematical model of a real device, a set of geometrical, physical, mechanical and electrical parameters of a real object that provides implementation of technical indicators of functional element of piezoelectronics specified in the technical task can be determined. This significantly reduces time and cost of new functional elements of piezoelectronics developing. The cost of the saved resources is the commercial price of the mathematical model. The purpose of this article is to develop principles and methods of mathematical models of disk piezoceramic transformers with cut electrodes constructing. The main result of this article can be fixed as follows: a set of computational procedures based on fundamental principles of mechanics and electrodynamics is proposed, sequential implementation of which makes it possible to construct a mathematical model of disk piezoelectric transformer with sector electrodes in primary and secondary electric circuits. For the first time, a scheme for mathematical model’s constructing is proposed, which allows in a natural way to take into account the entire set of geometrical, physical, mechanical and electrical parameters of areal design of piezoelectric transformer

Keywords

piezoelectric transformer, physical processes, mathematical model, sector electrodes

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Suggested citation

Petrishchev, O., & Bazilo, C. (2017). Principles and methods of constructing mathematical models of disk piezoelectric transformers with sector electrodes. Bulletin of Cherkasy State Technological University, 22(2), 33-44.