B.K. Sivyakov – Dr.Sc.(Eng), Professor, 

Department «Electrical Engineering and Electronics », Yuri Gagarin State Technical University of Saratov E-mail: sibokon@rambler.ru

D.B. Sivyakov – Ph.D.(Eng), Associate Professor, 

Department «Electrical Engineering and Electronics », Yuri Gagarin State Technical University of Saratov E-mail: SivyakovDB@gmail.com

Engineering methods for solving of many practically important problems in the calculation of electrodynamic devices and systems are based on the use of equivalent circuits. As a result, there is a transition from the consideration of fields to integral characteristics: currents and voltages using a more simple and visual mathematical apparatus of the theory of electric circuits and long lines. Often equivalent schemes are presents themselves an expression of phenomenological physical representations of the researcher about the structure and processes in the object under study. This may serve a cause of the appearance of a certain proportion of subjectivity and, therefore, errors in the results of mathematical modeling of the object. However, there are possibilities of objective and strict determination of the structure and parameters of the equivalent circuit based on the results of electrodynamic analysis of the object under study. At the same time, the results of electrodynamic examination acquire a new, more visual and convenient form for engineering analysis. Based on the theory of excitation of the waveguide electrodynamic system by intensive electronic fluxes with preliminary selection from the full fields in the system of own fields of the electron flow, equivalent circuits of the waveguide system with an intense electronic beam are constructed for the case of selection of one of the most intensive own potential electric field of the electronic flow. This is take place in the theory of traveling wave tube. Equivalent circuits are based on an electrodynamically substantiated physical picture of the excitation of a waveguide system (a decelerating system in a traveling wave tube), as well as equations for currents in a waveguide system with an intensive electronic beam and a continuity equation for the induced current formulated for this case. Equivalent circuits of the waveguide line with an electronic flow for the cases of a third-party and self-consistent electronic beam, as well as an equivalent representation of the traveling wave tube are presented. All parameters of equivalent schemes are determined. The further development of this approach for intensive electronic fluxes in a waveguide system is consists in taking into account the subsequent on intensity of the own fields of the electronic flow, for example, the own magnetic field of the electronic beam, which is described by the Poisson vector equation and cannot propagate without it. The given equivalent schemes are presents themselves a complete mathematical models at the macro level of the description of the objects under consideration. The completeness of the macromodels is provided by their accordance with the field electrodynamic models of the micro level.

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