Abstract

   An approach to the synthesis and realization of a simple RC model of constant phase element of order 1/2 is presented. The main point in the realization of the model is finding the rational approximation of constant phase element impedance function. In this paper, rational approximation is obtained by recursively obtained solutions of the quadratic equation. After considering the different structures and influence of tolerances on the accuracy of the impedance function, an eight section lattice cascade was constructed. The deviation between the theoretically and experimentally obtained magnitude and phase characteristics of such a circuit in the frequency interval 0,05÷1MHz did not exceed 1,0% and 1,2o respectively. Furthermore, it was found that the lattice network performance had impedance close to the expected one but in parallel with a capacity.