A-stable numerical integration method for transmission system transients

This paper presents an algorithm for the calculation of electromagnetic transients using the semi-implicit Runge-Kutta method. It is shown that this absolutely stable (A-Stable) integration method is a noniterative technique and therefore advantageous for nonlinear problems. Digital simulation results of switching surges for single-phase and three-phase transformer terminated lines are given in cemparison with field test results. A general discussion of numerical stability of integration methods is also included.