Quasi-harmonic self-oscillations in discrete time: analysis and synthesis of dynamic systems
| Autor: | Valery V. Zaitsev, Alexander V. Karlov |
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| Jazyk: | English<br />Russian |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Физика волновых процессов и радиотехнические системы, Vol 24, Iss 4, Pp 19-24 (2022) |
| Druh dokumentu: | article |
| ISSN: | 1810-3189 2782-294X |
| DOI: | 10.18469/1810-3189.2021.24.4.19-24 |
| Popis: | For sampling of time in a differential equation of movement of Thomson type oscillator (generator) it is offered to use a combination of the numerical method of finite differences and an asymptotic method of the slowl-changing amplitudes. The difference approximations of temporal derivatives are selected so that, first, to save conservatism and natural frequency of the linear circuit of self-oscillatory system in the discrete time. Secondly, coincidence of the difference shortened equation for the complex amplitude of self-oscillations in the discrete time with Euler’s approximation of the shortened equation for amplitude of self-oscillations in analog system prototype is required. It is shown that realization of such approach allows to create discrete mapping of the van der Pol oscillator and a number of mappings of Thomson type oscillators. The adequacy of discrete models to analog prototypes is confirmed with also numerical experiment. |
| Databáze: | Directory of Open Access Journals |
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