A new approximation method with a rational fraction for the parameters of a power transmission line by a genetic algorithm

In this paper a new automatic approximation method with low-order rational functions for the frequency-dependent characteristics of a high-voltage single-phase transmission line, i.e. characteristic impedance Z_C(jP) and transfer function A( jw ) = e ^{- g( jw )L} A\left( {j\omega } \right) = {\rm e}^{ - \gamma \left( {j\omega } \right)L} , by a genetic algorithm is presented. The results prove that this method is very likely to find the global optimum, that it is easy to use and has a high efficiency, especially for simulating power systems.