Alternating Direction Explicit-Latency Insertion Method (ADE-LIM) for the Fast Transient Simulation of Transmission Lines

Abstract

This paper describes the alternating direction explicit-latency insertion method (ADE-LIM) for the fast simulations of transmission lines. LIM is one of the fast transient analysis techniques for large networks. However, because this method is based on an explicit finite-difference method, it has a limitation of the time step size for the numerical stability condition similar to the finite-difference time-domain technique. On the other hand, the ADE method is one of the finite-difference methods and has advantages of less computational complexity and numerical stability. In this paper, we propose ADE-LIM as an improved method of LIM. This method can circumvent the above time step limitation problem because the method is based on the ADE algorithm. Numerical results show that ADE-LIM is about 3-3.5 times faster than LIM in the transmission line analyses with appropriate accuracy.