Validation of a Self-developed Algorithm for Solving Inverse Problems on Impedance Networks

Our research group examines a new aspect of the implementation of the Electrical Impedance Tomography (EIT) inverse problem solving method. As a result, the investigated material, which can be considered a continuum, is modeled as a linear network with concentrated parameters. In this article we managed to generalize the mathematical model that it also takes into account the dielectric constant of the material (the pair of concentrated parameters, i.e. the capacity). Thus, despite a significant increase in the number of unknowns in the model, we created an opportunity to apply a multi-frequency approach, as a result of which the optimized system of equations always remains overdetermined. After defining the mathematical model, for its validation, we created a physical model in order to reconstruct the resistance and capacitor values placed on the branches of the graph within their tolerance.