Increased Efficiency of Systems Modeling Electronic Circuits in Frequency Domains

Abstract

We consider methods to construct mathematical models for the automation of circuit design that implement the calculations of the parameters and the structure of the circuit connections of the components of the developed electronic device displayed by its graphic scheme. We note that the modeling of frequency properties of an electronic circuits in a frequency range is among the main problems of circuit design. Within this range, the frequency characteristics of the circuit are computed multiply to find the admissible or optimum values of the parameters of the components used in the designed electronic circuit. It is shown that two approaches to resolve such a problem are possible. The first approach is based on the description of the simulated circuit by complex matrices at each frequency f [kf] of the given frequency range with the preliminary calculation of the operator s = (0.0, 2 × 3.14 f [kf]). A substantial disadvantage of this approach is the necessity to form a mathematical description of all the circuit components at each frequency. The second approach is based on the representation of the complex matrix of the scheme in the bilinear form W = A + sB, where A and B are real frequency-independent matrices. It is shown that, in a number of cases, we have to present the equations of frequency-dependent components in an explicit form to implement such an approach, while this is possible only if the scheme is described in selected coordinate bases such that this possibility is foreseen for them. A technique is proposed to describe the simulated circuits based on a modified basis of the nodal potentials, providing the possibility to use both explicit and implicit forms to specify the component equations. It is shown that the bilinear form of the circuit description, based on the modified basis, substantially improves the efficiency of computing the frequency characteristics because the fixed frequency-independent matrix components of the circuit are used at each frequency.