Investigation of the conditionality of the problem of determining the parameters of a linear N-pole by input frequency characteristics

Studies of the conditionality of the problem of determining the parameters of a linear N-pole by input partial characteristics are performed. The relevance of the research is justified by the significant interest of specialists in numerical methods for solving inverse problems. The purpose of the research is to develop methods for calculating the parameters of linear N-pole elements based on input frequency characteristics. Which contributes to the development of the theory and practice of linear electrical circuits. A method is proposed for calculating the number of conditionality and selecting the necessary set of frequencies to ensure local minimization of the number of conditionality. Methods for estimating the relative errors in the calculation of circuit parameters are proposed. To evaluate the proposed solutions, mathematical modeling and a physical experiment were performed. The results of the simulation and experiment are summarized in tables. The main result of the work is the developed method for determining the local minimum of the condition number when solving the problem of determining the parameters of a linear N-pole by input frequency characteristics. Additionally, the limits of applicability of methods for estimating relative errors in determining the parameters of linear circuits are investigated.