Forming mathematical models of electrical circuits by applying analytic transformation

Cybernetics ◽  
1981 ◽  
Vol 17 (2) ◽  
pp. 223-229
Author(s):  
A. I. Petrenko ◽  
G. A. Matrosova
Author(s):  
Ivan Lebedev ◽  
◽  
Nikolay Savelov ◽  
Sergey Basan ◽  
◽  
...  

When developing new methods for analyzing electrical circuits and comparing various already developed methods, one of the actual problems is the creation of tests for evaluating the effectiveness of algorithms. For such tests, it is advisable to use schemes of complex circuits. However, with an increase in the number of circuit elements, the development of a circuit diagram, preparation of initial data for mathematical modeling and vis-ual presentation of the circuit become more and more difficult. To solve these problems, it is proposed to use pre-ordered electrical circuits. An algorithm for the formation of mathematical models of circuits with an almost unlimited number of elements is proposed. Experiments on the formation and application of mathematical models of electrical circuits containing more than five hundred elements have been carried out. The generated mathematical models are used to evaluate a specific algorithm for analyzing electrical circuits.


Author(s):  
Manjie Ran ◽  
◽  
Xiaozhong Liao ◽  
Da Lin ◽  
Ruocen Yang

Capacitors and inductors have been proven to exhibit fractional-order characteristics. Therefore, the establishment of fractional-order models for circuits containing such components is of great significance in practical circuit analysis. This study establishes the impedance models of fractional-order capacitors and inductors based on the Caputo–Fabrizio derivative and performs the analog realization of fractional-order electronic components. The mathematical models of fractional RC, RL, and RLC electrical circuits are deduced and verified via a comparison between the numerical simulation and the corresponding circuit simulation. The electrical characteristics of the fractional circuits are analyzed. This study not only enriches the models of fractional capacitors and inductors, but can also be applied to the description of circuit characteristics to obtain more accurate results.


Sign in / Sign up

Export Citation Format

Share Document