JOR Iterative Method for the Modeling of MTLs Excited by EMP

In recent years, the distributed analytical representation and iterative technique (DARIT) based on the Jacobi iteration method (Jacobi-DARIT-field) and the Gauss-Seidel iteration method (Seidel-DARIT-field) were proposed to handle the transient electromagnetic field or the electromagnetic pulse (EMP) radiated field coupling to multiconductor transmission lines (MTLs). Compared to the Seidel-DARIT-field method, the Jacobi-DARIT-field method has a higher computational efficiency but a lower convergence rate. In order to improve its convergence rate, this letter extended the Jacobi-DARIT-field method with the Jacobi over relaxation (JOR) iteration algorithm and proposed a JOR-DARIT-field method. The performances of the JOR-DARIT-field method and the Jacobi-DARIT-field method were compared through the MTL modeling examples. It could be concluded that both methods have a high computational efficiency when computing the EMP coupling to MTLs. However, the JOR-DARIT-field method has a higher convergence rate than the Jacobi-DARIT-field method with a proper relaxation factor (RF).