Extended Critical Damping Adjustment Method for Electromagnetic Transients Simulation in Power Systems

Numerical oscillation is a common phenomenon in the current electromagnetic transient digital simulation in power systems. From the origin of the numerical oscillation, we proposed an extended critical damping adjustment method (ECDA) to solve the numerical oscillation problem in this paper, after inspired by the critical damping adjustment method (CDA). ECDA was composed of a class of new low-order, L-stable linear multistep and implicit trapezoidal integration methods. ECDA used two-half-step, three-step or four-steps linear multistep method to perform numerical integrations when experienced with sudden changes, and the implicit trapezoidal integration method was still used under normal conditions. The numerical simulation results of the typical electromagnetic transient examples show that the ECDA could completely eliminate the numerical oscillation, and it had higher computational accuracy than the CDA.