The research work considers the simulation and analysis of transition processes in linear electrical circuits using the MatLab software package. The transition processes occurring in the following linear electrical circuits were analyzed: RL equivalent circuit in case of connecting the relay control winding to a DC voltage source; RC equivalent circuit in case of connecting a capacitor through a limiting resistor to a DC voltage source and disconnecting it from the source; RLC equivalent circuit in case of capacitor discharge to an inductor; this capacitor shall be pre-charged from a DC voltage source; a branched electrical circuit of the first order where its topology changes after switching. As a result of the research, the transition process graphs were obtained for which the simulated completion time of the transient process does not differ from the calculated values with an error of less than 2%. The analysis of transition processes revealed the following: the winding inductance effect on the time of relay switching; the effect of the additional resistance value on the charge (discharge) of the capacitor; the effect of the resistance value change when the capacitor is discharged in a circuit with two reactive elements; the effect of changes in the topology of the electrical circuit on the intensity of the transient process after switching.
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