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Solution of nonlinear stiff differential equations for a three-phase no-load transformer using a Runge–Kutta implicit method

Baron Bernard, Kolasińska-Płuska Joanna, Łukaniszyn Marian, Spałek Dariusz, Kraszewski Tomasz

Archives of Electrical Engineering

2022

Vol. 71, nr 4

1081--1106

The paper presents an approach to differential equation solutions for the stiff problem. The method of using the classic transformer model to study nonlinear steady states and to determine the current pulses appearing when the transformer is turned on is given. Moreover, the stiffness of nonlinear ordinary differential state equations has to be considered. This paper compares Runge–Kutta implicit methods for the solution of this stiff problem.