Improving time integration scheme for FEM analysis of MTL problems

SUMMARY This paper presents improved algorithm for electromagnetic transient calculations on multiconductor transmission line (MTL) achieved by improvement of the time integration when forming a local system of equations for a finite element. Improvement of accuracy was obtained by using Heun's method. Previously developed local system of equations of MTL has been obtained using the generalized trapezoidal rule (ϑ‐method). The use of the generalized trapezoidal rule for the time integration sometimes causes numerical oscillations or numerical diffusion of numerical solutions. Numerical solutions obtained using Heun's method and using the generalized trapezoidal rule for different values of a time integration parameter are compared with analytical solution. It has been shown that Heun's method yields the results with much higher accuracy comparing to results obtained by generalized trapezoidal rule. Improvement of the finite element method algorithm for electromagnetic transient analysis on multiconductor transmission line has be achieved by improving the time integration when forming a local system of equations for a finite element. Improvement of accuracy was obtained by using Heun's method. It has been shown that Heun's method yields the results with much higher accuracy comparing to results obtained by generalized trapezoidal rule (ϑ‐method).