Computation of Carson formulas using piecewise approximation of kernel function
Computation of Carson formulas using piecewise approximation of kernel function is a scholarly work, published in 2018 in ''International Journal for Engineering Modelling''. The main subjects of the publication include kernel, inverse problem, mathematical optimization, biological function, computation, piecewise function, applied mathematics, and mathematics. Novel approach for the high-accurate computation of Carson formulas is presented.Carson formulas are used for computation of per-unit length (pul) self and mutual impedances of infinitely long parallel conductors.Numerical algorithm described in this paper uses a piecewise approximation of the kernel function which appears in the Carson formula corrections.Approximated kernel function is multiplied by the rest of the integrands in the impedance correction expressions and analytically integrated.By using the proposed algorithm, highaccurate results with the desired computed n-digit accuracy can easily be obtained.Results computed by the proposed algorithm are compared with the two most commonly used approximation methods for large frequency range.