A Lumped Equivalent Circuit Model for the Radial Mode Piezoelectric Transformer

A lumped equivalent circuit model for the radial mode piezoelectric transformer is presented, based on a one-dimensional analysis of the radial vibration mode and the constitutive piezoelectric equations. The model allows each of the components in the piezoelectric transformer equivalent circuit to be calculated from the appropriate material properties and device dimensions, thereby facilitating the design and optimisation of transformers to meet a set of electrical specifications. Since the analysis treats the transformer as a composite, the effects of the isolation layer and copper electrodes on the electrical characteristics are also included.