K. O. Maksimov, A. A. Potapov, P. A. Ushakov

Development and application of the radioelectronic devices, realizing operations of fractional derivation and integration are restrained by absence of industrially produced passive electronic components, possessing a fractal impedance. Electronic components constructions on the nonuniform resistance-capacitance medium (RC-EDP) basis are perspective, allowing to realize fractal impedances with the preset dimensionalities in a broad frequency band. Mathematical, program-algorithmic bases of the analysis and synthesis of these component various constructive version by preset input and transmitting frequency performances are established for last 5 years. However for synthesized constructions physical embodying by methods of integration technology the solution of some problems is required: mathematical models improvement in view of constructive-technological aspects of RC-EDP manufacturing, already manufactured RC-EDP exemplars parameters identification and triming. The technique of RC-EDP adequate mathematical models design is considered in the given work, and experimental verification results of this technique are presented. As a subject of inquiry has been sampled three-layer RC-EDP with R-C-NR structure of stratums. According to technique, RC-EDP construction is divided into base finite elements, each of which is represented by electric equivalent circuit (a finite distributed element - FDE) with a parameters vector . It is not obviously possible to meter all parameters for manufactured RC-EDP, therefore the solution of parametric identification task reduced to a problem of retrieval optimization is required. In the paper the procedure of initial approximation model parameters setting to ideal value is offered. As criterion function the root-mean-square discrepancy of model y-parameter frequency responses (FR) and analogous FR of real exemplar uses. As an optimization problem solution basis the gradient descent algorithm is used, upgraded and reinforced by probability operations. This algorithm has been realized in a medium of mathematical simulation analysis - Matlab. For approbation and efficiency quantitative estimation of the developed identification technique, the experimental RC-EDP samples party with R-C-NR structure of stratums has been established by means of thick-film technology. Experiment results prove a competence of the offered technique of RC-EDP model parameters determination with R-C-NR aspect stratums structure. The algorithm and identification program can be used for RC-EDP adequate mathematical model embodying, allowing to receive RC-EDP construction synthesis results which will be reproduced in adjusted manufacturing method.