Fast Sensitivity Analysis of Electric Potential Distribution of Transmission Lines by Using Adjoint Method

In this article, a new methodology for sensitivity analysis evaluation of electric potential distribution near transmission lines (TLs) is proposed. The potential is modeled by the finite element method, and the sensitivity related to cable positions is obtained using the adjoint method, and thus the objective function’s sensitivity is adopted during the optimization process using a multiple cuts’ ellipsoid method to get new geometries with high surge impedance loading (SIL). The sensitivities of a large number of conductors by phase are obtained with high precision and very low computational cost, using adjoint sensitivities, which are not dependent on the number of design variables. The approximation using central finite differences (CFDs) to calculate the sensitivity is used for comparisons and validation. Therefore, with this methodology, the finite element method (FEM) model of TLs can be used during the optimization process without compromising the required computational processing time.