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
Keyword(s):  
Mathematical Models ◽  
Electrical Circuits ◽  
Analytic Transformation

Mathematical models in electrical circuits: Theory and applications

1992 ◽  
Vol 23 (1) ◽  
pp. 80-81
Author(s):  
P.R. Shepherd
Keyword(s):  
Mathematical Models ◽  
Electrical Circuits

scholarly journals Mathematical Models in Electrical Circuits: Theory and Applications

1991 ◽  
Author(s):  
C. A. Marinov ◽  
P. Neittaanmäki
Keyword(s):  
Mathematical Models ◽  
Electrical Circuits

A New Approach to the Formation of Test Mathematical Models of Complex Electrical Circuits

2021 ◽  
Vol 64 (6) ◽  
pp. 5-11
Author(s):  
Ivan Lebedev ◽  
◽  
Nikolay Savelov ◽  
Sergey Basan ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Initial Data ◽  
Mathematical Models ◽  
Circuit Diagram ◽  
Electrical Circuits ◽  
New Approach ◽  
New Methods ◽  
Unlimited Number ◽  
The Creation ◽  
Complex Circuits

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.

scholarly journals Analog Realization of Fractional-Order Capacitor and Inductor via the Caputo–Fabrizio Derivative

2021 ◽  
Vol 25 (3) ◽  
pp. 291-300
Author(s):  
Manjie Ran ◽  
◽  
Xiaozhong Liao ◽  
Da Lin ◽  
Ruocen Yang
Keyword(s):  
Numerical Simulation ◽  
Mathematical Models ◽  
Fractional Order ◽  
Circuit Simulation ◽  
Circuit Analysis ◽  
Electrical Characteristics ◽  
Electronic Components ◽  
Electrical Circuits ◽  
Impedance Models

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.

Mathematical models for second-language acquisition

1964 ◽  
Author(s):  
Edward Crothers ◽  
Patrick Suppes
Keyword(s):  
Second Language ◽  
Second Language Acquisition ◽  
Language Acquisition ◽  
Mathematical Models

Pressure Rises in Electrical Circuits and Apparatus

1914 ◽  
Vol 77 (1985supp) ◽  
pp. 42-43
Keyword(s):  
Electrical Circuits
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