Investigation of dynamic processes in nonlinear resistive electric circuits using the Lagrange method

THE PURPOSE of this work is to study the dynamic processes in nonlinear resistive electrical circuits using the Lagrange method, to identify the features of their mathematical description and analysis of transient processes, as well as to improve the circuits of contactless switching devices. RESULTS. The article presents the results of a study of the dynamic process in a nonlinear resistive electrical circuit using the Lagrange method and describes the development of its mathematical model. In addition, based on the developed mathematical model, an analysis of the time-dependent variation of the voltage across the capacitance under different parameters was carried out. The results of the study indicate that by determining the exact value of the voltage across the capacitance, it is possible to effectively control both the control voltage of the thyristor and the charging-discharging process of the capacitor. Thus, it has been established that when the capacitor reaches the saturation point, a time delay is provided for contactless switching devices. CONCLUSION. As part of this study, a theoretical analysis and numerical calculations of dynamic processes in a nonlinear resistive electrical circuit were carried out. The application of the Lagrange method made it possible to obtain the solution of the differential equation of the electrical circuit, and this study, to a certain extent, contributes to the investigation of dynamic processes in nonlinear resistive circuits.

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