Highly accurate computation of Carson formulas based on exponential approximation

In this paper, analytical expressions for a highly accurate computation of Carson formulas are developed. Highly accurate analytical expressions for per-unit-length (pul) self and mutual impedance corrections are now reduced to two linear combinations of 50 functions. Coefficients of these linear combinations are computed using exponential approximation of integrals' kernel function. Proposed algorithm has simplified computation in comparison with other highly accurate numerical algorithms. Results computed by proposed algorithm and by two approximation methods are compared with 7‐digit accurate results computed by piecewise quadratic approximation for large frequency range.