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

Abstract

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.

Keywords

• circuit model of a three-phase transformer
• runge–kutta implicit methods
• stiff nonlinear ordinary differential equations