Construction of mathematical model of bimorph piezoelectric transformer

Introduction. Piezoceramic transformers are most widely used in high-voltage sources of secondary power supply and in devices where a large voltage conversion ratio is needed, in particular, in medical technology. Purpose is to solve the problem of the excitation of transverse bending oscillations in bimorph piezoelectric transformer. The ultimate goal of mathematical modelling of physical state of oscillating piezoceramic elements consists in qualitative and quantitative description of characteristics and parameters of electric and elastic fields existing in them. Methodology. Mathematical model of piezoelectric transformers operation using transverse bending vibrations in a bimorph piezoelectric element is constructed with a minimal number of assumptions simplifying the real situation. This allows to state that the proposed construction scheme delivers mathematical models that are sufficiently adequate to  real objects and physical processes that exist in them. Results. Construction and features of mathematical description of bimorph piezoelectric element, the principle of which is based on the use of axisymmetric transverse bending oscillations, are considered. The solution of the problem of transverse bending oscillations excitation in bimorph piezoelectric element by the difference of electric potentials is obtained. Originality. Mathematical model of disk bimorph piezoelectric transformer with symmetrical electrical loads in secondary electrical circuit taking into account a complete set of geometrical, physical, mechanical and electrical parameters is built. Practical value. As a result of research of real device’s mathematical model a set of geometrical, physical, mechanical and electrical parameters of a real object can be determined which provides the realization of technical parameters of piezoelectric functional element specified in technical specifications. The cost of the saved resources is the commercial price of mathematical model

piezoelectric transformer; bimorph element; physical processes; mathematical description