Research object - the process of mathematical modelling of electronic circuits in a CAD system. Purpose - to develop a common methodology for computer-aided design of circuit-based aggregation models. Methods - the following methods are used to solve this problem: methods of matrix algebra, graph theory, set theory, sensitivity theory, mathematical analysis, theoretical electrical engineering and the theory of nonlinear circuits, which gave a hierarchical series of aggregated models of the original mathematical model of the scheme in the basis of nodal potentials; methods of structural and parametric adaptation to meet the challenges of adaptation aggregated models with respect to project operations, interval methods, which made it possible to monitor the adequacy of the aggregate models in the process of their formation, methods of computational mathematics and computer simulation, which confirmed the reliability of the theoretical results. Theoretical and practical results - the results obtained during the theoretical research provide a methodological basis of evidence-based solutions for a variety of problems related to automation of circuit design. In particular, they allow you to automate the process of forming aggregates economical models of electronic circuits in the process of their automated parametric synthesis. This makes it possible to reduce the complexity of the preparatory stages, greatly improve the efficiency of procedures for multi-objective optimization, to reduce design time, to achieve growth and improve the reliability of new electronic devices. The following effective circuit solutions have been obtained: circuits of digital hearing aids for patients with sensorineural hearing loss; biopotential amplifier circuits, low-frequency therapy device circuits, formulated the original specifications for the construction of the equipment diagnostic bone regenerate stiffness of diaphyseal fractures, and received a patent for a method of signal processing in hearing aids and tools for their implementation. Scientific novelty - it is the first attempt to raise and formalize the complex problem of aggregation, adaptation, and determine the adequacy of mathematical models for solving problems of parametric synthesis of circuit diagrams in CAD. It is the first time the methods of aggregation of mathematical models for solving problems of parametric synthesis schemes have been developed. It is the first development of methods of priori, aposteriori adaptation of aggregated models with respect to the design procedures; the problem of adaptive aggregation is formulated and solved. Methods for determining the adequacy of the aggregate model in the space of external parameters have been first developed. The problem of using aggregated models in a CAD-based subsystems designed aggregation has been first solved. Further developed are the methods of constructing mathematical models of the aggregate of aperiodic patterns to determine the static, frequency and dynamic parameters and characteristics. The practical significance of the results of research is supported with the fact of their implementation at the State Enterprise "Kharkіv Instrument Plant. Shevchenko" where they are used to design electronic circuits and devices, which helped to increase quality of the study of circuit design and reduce design tim; in Company "Agricultural NGO" (Kharkіv) - used to design electronic circuits and devices, which helped to obtain new efficient circuit solutions and reduce design time; at the state enterprise "Factory OBiVT" (Sumy) during upgrade and development of new electronic devices, thus improving their reliability, quality and competitiveness; in LLC "Promgidroprivod" (Kharkіv) during development of new electronic devices, thus reducing labor costs, improving procedures for parametric vector optimization schemes in the learning process of Kharkіv National University of Radio Electronics when teaching such courses as, "Computer-Aided Design of biomedical devices", "Designing sites of biotechnical systems"; in the term and diploma projects in the field of" Physical and Biomedical Electronics", "Bioengineering and Medical Devices and Systems" as means of obtaining the aggregate number of hierarchical models.
