D.V. Shushpanov1

1 Bonch-Bruevich Saint Petersburg State University of Telecommunications (St. Petersburg, Russia)
1 dimasf@inbox.ru

Modern developments in pulse amplification methods make the consideration of nonlinear electrical circuits as piecewise linear, i.e., circuits containing nonlinear elements whose volt-ampere characteristics are piecewise linear, relevant, since the use of such circuits simplifies, increases the accuracy, and accelerates the calculation of transient processes in nonlinear electrical circuits. Calculating transient processes in a piecewise linear electrical circuit containing reactive elements reduces to solving a linear complementarity system. This issue has not been addressed in the domestic literature. The purpose of this article is to consider various methods for solving a linear complementarity system. This paper describes the three most commonly used methods in the international literature for calculating transient processes in piecewise linear electrical circuits as solutions to a linear complementarity system. The advantages and disadvantages of each method are presented. The potential for using analytical and numerical-analytical approaches in each method is demonstrated. An operator-based method for calculating transient processes in piecewise linear electrical circuits is proposed, with determination of the switching moments of ideal diodes. An example of application is provided for the two most interesting methods for calculating transient processes in piecewise linear electrical circuits, using numerical-analytical calculations.

Shushpanov D.V. Numerical and numerical-analytical methods for calculation of piecewise linear electric circuits with reactive elements // Achievements of modern radioelectronics. 2026. V. 80. № 6. P. 5–18. DOI: https://doi.org/10.18127/j20700784-202606-01

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