Uncertainty quantification analysis of random field coupling to transmission lines based on polynomial chaos expansion method

Normally, transmission lines' uncertainty quantification analysis based on Monte Carlo (MC) method need very large number of samples. This paper chooses the polynomial chaos expansion (PCE) method to analyse the uncertainty quantification of random field coupling to transmission lines. In the case where input uncertain parameters are of non-typical distributions, the corresponding orthogonal polynomial basis is constructed and the telegraph equation by PCE method is expanded. Finally, the statistical information of far end current is computed in the case of random field with two uncertain parameters coupling to transmission lines. It is proved that the PCE method is valid and more efficient compared with MC method.