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Journal Nonlinear World №4 for 2016 г.
Article in number:
Parametric synthesis algorithms for matching to the stationary generation mode criterion integral four-terminal devices within self-excited oscillator feedback circuit
Keywords: parametrical synthesis oscillators optimum frequency characteristics optimum interrelations between elements of a matrix of transfer quasioptimum two-poles circuit engineering and mathematical modeling
Authors:
A.A. Golovkov - Honored Scientist of RF, Dr.Sc. (Eng.), Professor, Department of Aircraft Systems and Navigation and Radio Communication Systems, Military Training and Research Center, Air Force Academy n.a. prof. Zhukovsky and Y. Gagarin (Voronezh) V.A. Golovkov - Design Engineer, Voronezh Design Bureau of Antenna-Feeder Devices (Voronezh). E-mail: vladimir.golovkov@yandex.ru
Abstract:
Based on immitanse stability criterion, there were generally for the first time specified optimal relations between the elements within traditional transmission matrix of matching to the criterion of stationary generation mode integral four-terminal devices to be brought into the external feedback circuit. The resultant relations having the meaning of characteristic equations have been employed to determine frequency behavior of integral two-terminal devices of typical four-terminal device circuit and that of in-space initial data physical realizability domains for various types of feedback circuit (voltage-parallel, current-serial, voltage-serial and current-parallel). In the particular case (without regard to load characteristics and non-linear element), these relations transform into zero-equality for one of the elements of traditional transmission matrix of matching four-terminal device with=0. For example, when utilizing Pi-section reactive four-terminal device within voltage-parallel feedback circuit this result reduces to the known condition to provide stationary generation mode of three-point self-excited oscillators (Hartley and Colpitts oscillators) in the form of zero-equality of cumulative resistances of all two-terminal devices within this four-terminal one. It was demonstrated that physical realizability domain boundaries of stationary generation mode in the Smith chart represent hodograth curves similar to those obtained by him for the devices to match to the minimum return signal provision criterion. Results of the work can be used for synthesis of internal feedback self-excited oscillators.
Pages: 17-26
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