A method of forming algebraic-differential equations of a nonlinear pass-through active quadripole, which connect its independent pole currents and independent polar voltages, is proposed. The difficulty of the analysis lies in the fact that some of both internal and external unknowns may be under the symbol of differentiation. The common differential equations of the system of internal and external currents and voltages act as starting information for this formation. The method is demonstrated on two cases of the formation of corresponding algebraic-differential equations of systems as formed by nonlinear two-port elements. The analysis is significantly simplified in the case of internal D-degeneracies of the system or purely resistive circuits.
- B. I. Blazhkevich, Fundamentals of the theory of linear electric circuits. - K., 1964.
- Chua L. O., Peng-Ming-Ling. Machine analysis of electronic circuits (translated from English). - M.: Mir, 1980.
- V.Tchaban, Electromagnetic processes, Lviv: "Space M", 2017.
- V.Tchaban, Mathematical modeling in electmechanical engineering, Lviv: Publishing house T. Soroka, 2010.
- V.Tchaban, Fundamentals of the theory of transient processes of electric machine systems, Lviv: Higher School, 1980.
- V.Tchaban, „Differential equations of nonlinear multipolar elements“, Computational Problems of Electrical Engineering, vol. 12, no. 1, pp. 38-42, 2022.
https://doi.org/10.23939/jcpee2022.01.045