Fast electromagnetic transient simulation for over‐voltages of transmission line by high order Radau method and V ‐transformation

Abstract

To improve the computational efficiency of electromagnetic transient (EMT) simulation in power system, as well as avoid the numerical oscillation, the high order Radau method is proposed for EMT simulation in this study. For solving the differential equation in EMT simulation effectively, the high order Radau method uses its weighting coefficient matrix satisfying the important V -transformation feature to make the relevant high dimension linear algebraic equation decoupled into blocks in time domain, then forms the multi-stage block recursive method. Because of this technology, in every integration step, the variable value at each different internal point can be calculated simultaneously. On this basis, bigger integration step can be selected to improve the computational speed when carrying out EMT simulation since the high order Radau method is of high computational accuracy. Besides, because this method is both L-stable and B-stable, it can be free of numerical oscillation in EMT simulation effectively. Finally, the validity of this high order Radau method has been demonstrated compared with critical damping adjustment by implementing EMT simulation of transmission line.