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The present paper describes a numerical method for calculation of transients in electric circuits,using astep by step approach.For a small interval of time △t=const,for each branch j of circuit one calculatesα_j=R_j+L_j/△t+△t/C_j,β_j=R_j+△t/C_j and θ=△t/C_j.After that,for each interval △t the currentincrements △i_(jk),the currents i_(jk)=i_(jk-1)+△i_(jk)and the capacitor’s voltage u_(cjk)=u_(cjk-1)+Au_(cjk)arecalculated.The values of △i_(jk)are the roots of a system of simultaneous linear equations.The results of numericalcalculation of transients by the proposed method do not differ from those obtained by analytical ones.Theproposed method can be applied to a large number of problems in electrical engineering.A similar approachcan be used for the calculation of transients in non-linear electric circuits and in other engineeringdisciplines(mechanics,thermodynamics,hydraulics etc.).Several numerical examples show how the pro-posed method can be applied.
The present paper describes a numerical method for calculating the transients in electric circuits, using astep by step approach. For a small interval of time Δt = const, for each branch j of circuit one calculates α_j = R_j + L_j / Δt + Δt / C_j, β_j = R_j + Δt / C_j and θ = Δt / C_j. After that, for each interval Δt the current contributions Δ i - jk, the currents i_jk = i_jk - 1 + Δ i_ jk) and the capacitor’s voltage u_ (cjk) = u_ (cjk-1) + Au_ (cjk) arecalculated.The values of Δ i_ (jk) are the roots of a system of simultaneous linear equations. These results of numericalcalculation of transients by the proposed method do not differ from those obtained by analytical ones. Proposed method can be applied to a large number of problems in electrical engineering. A similar approach be used for the calculation of transients in non-linear electric circuits and in other engineering disciplines (mechanics , thermodynamics, hydraulics etc.). Several numerical examples show how the pro-posed method can be applied.