Radiotekhnika
Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS


Тел.: +7 (495) 625-9241

 

Macromodeling of nonlinear electronic circuits using functional series

Keywords:

I.E. Zhigalov – Dr. Sc. (Eng.), Professor, Head of Department of Information Systems and Program Engineering, Vladimir State University named after A.&N. Stoletovs. E-mail: ikgij@vlsu.ru M.I. Ozerova – Ph. D. (Eng.), Associate Professor, Department of Information Systems and Program Engineering, Vladimir State University named after A.&N. Stoletovs. E-mail: ozerovam@rambler.ru I.A. Novikov – Post-graduate Student, Department of Information Systems and Program Engineering, Vladimir State University named after A.&N. Stoletovs. E-mail: anvi.x11@gmail.com


The representation of the models of complex electronic circuits in the form of a set of functional blocks allows us to analyze of their dynamic characteristics at the macro level. For computer-aided modeling of such devices, including nonlinear functional blocks, it’s uses the functional series approach. The objective of this paper is the modeling of nonlinear electronic circuits, represented by a set of single-input nonlinear blocks, de-scribed in the form of a functional series. To calculate the kernels of the functional series it’s can be used stationary Volterra series and its modifications, which allows us to describe functional blocks not only for small signal problems. The functional blocks included in the circuit model, are unidirectional, and the transfer operator of each nonlinear block is described by a truncated functional series. This representation allows to describe nonlinear electronic circuits with complicated configuration, and transfer matrix of the model is the basis for the formation and ranking of the equations of the mathematical model. In this case a nonlinear electronic device can be represented as a macromodel. The paper describes the model of circuit, which based on single-input nonlinear blocks. The paper presents the basic equations for the formation and solution by iterative methods of a matrix circuit equations system with single-input nonlinear functional blocks on the basis of the generalized descriptions in the form of functional series. It is developed algorithms this iterative methods for functional circuits that do not contain feedback, and for the circuit with feedback. In the latter case, it is presented the algorithms for calculation of the circuit output response, based on the method of simple iterations and Newton\'s method.
References:

 

  1. ZHigalov I.E., Ozerova M.I., Novikov I.A. Modelirovanie nelinejjnykh ehlektronnykh ustrojjstv s ispolzovaniem funkcionalnykh rjadov // Dinamika slozhnykh sistem. 2014. T. 8. № 5. S. 16−23.
  2. Pupkov K.A., Kapalin V.I., JUshhenko A.S. Funkcionalnye rjady v teorii nelinejjnykh sistem. M.: Nauka. 1976. 448 s.
  3. Metody nelinejjnykh funkcionalov v teorii ehlektricheskojj svjazi / Pod red. B.M. Bogdanovicha. M.: Radio i svjaz. 1990. 280 s.
  4. Danilov L.V. Rjady Volterra–Pikara v teorii nelinejjnykh ehlektricheskikh cepejj. M.: Radio i svjaz. 1987. 224 s.
  5. ZHigalov I.E., Ilin V.N., Lancov V.N. Rasshirenie vozmozhnostejj primenenija apparata rjadov Volterra v programmakh ASkhP // Izvestija VUZov. Radioehlektronika. 1985. № 9. S. 49−54.
  6. Bogdanovich B.M., Bachilo L.S. Proektirovanie usilitelnykh ustrojjstv. Mn.: Vysh. shkola. 1985. 237 s.
  7. Batishhev D.I., Egorov E.A., Kabanov D.A. Avtomatizacija proektirovanija nelinejjnykh analogovykh ustrojjstv na osnove strukturnykh metodov (obzor) // Izvestija VUZov. Ser. Radioehlektronika. 1985. T. 28. № 6. S. 42−49.
  8. Bukashkin S.A. Matematicheskoe makromodelirovanie nelinejjnykh dinamicheskikh ehlektrony skhem // Izvestija VUZov. Ser. Radioehlektronika. 1988. T. 31. № 6. S. 59−64.
  9. Volterra V. Teorija funkcionalov, integralnykh integro-differencialnykh uravnenijj. M.: Nauka. 1982. 304 s.
  10. Danilov L.V., Soloveva E.B. Makromodelirovanie sushhestvenno nelinejjnykh ehlektricheskikh cepejj na osnove funkcionalnykh polinomov // Izvestija VUZov. Ser. Radioehlektronika. 1990. T.ZZ. № 6. S. 3−7.
  11. Ilin V.N., ZHigalov I.E., Lancov V.N. Metody avtomatizirovannogo skhemotekhnicheskogo proektirovanija nelinejjnykh radiotekhnicheskikh cepejj // Izvestija VUZov SSSR. Radioehlektronika. 1985. T. 28. № 6. S. 7−17.

 

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio