Báo Cáo Higher-order fdtd, fe and meshfree methods for selected emc problems in power systems: Part i – calc

Higher-order fdtd, fe and meshfree methods for selected emc problems in power systems: Part i – calculating lightning-induced voltages on transmision lines
ABSTRACT

​The Finite-Difference Time-Domain (FDTD) solutions of lightning-induced voltages due to
nearby lightning return stroke on overhead power lines are proposed by Agrawal et al. [9] and Paolone
et al. [10]. In this paper, we develop above FDTD method using the higher-order FDTD scheme with
second-order accuracy in the time and 18[SUP]th[/SUP]-order in the space. In particular, 18[SUP]th[/SUP]-order Finite Element
Method (FEM) and a kind of Meshfree Methods, Smooth Particle Hydrodynamics (SPH) method, are
also presented and used successfully in this problem. Finally, three numerical methods are applied to
calculate lightning-induced voltages on multiconductor distribution lines by solving Field-totransmission
line coupling equations. The solutions of various numerical methods are illustrated and
compared by means of graphs. Obtained results are shown that the influences of the phase-conductor
position, ground wires and the higher-order FDTD, FE schemes on the peak value of total induced
voltages at the first few microseconds are considerable. These algorithms are very suitable for solving
telegraphy or EM coupling equations of transmission lines in EMC problems with more accuracy