Uncertainty Analysis for Overhead Powerlines by the Generalized Stochastic Perturbation Technique

Abstract

The main aim of this work is to investigate some design uncertainties on the static response of powerline cables. A cable diameter is treated in this study as the design input random parameter distributed according to a Gaussian distribution, and its impact is analyzed for various thicknesses of ice covers and different outdoor temperatures. The static response of the single bay cable is found in an analytical way for this purpose and then is used in the least-squares method approximations of polynomial responses connecting cable sag, normal force, and, separately, fundamental eigenfrequency with its diameter. A further randomization procedure has been completed using the iterative generalized stochastic perturbation technique of the tenth order utilized for the Gaussian distribution to determine the basic probabilistic characteristics of the cable responses, such as expectations, coefficients of variation, and skewness and kurtosis. These computations have been compared with the Monte-Carlo simulation and semiprobabilistic analysis to validate the proposed strategy. The entire numerical procedure has been programmed in the computer algebra system MAPLE 2019 and can be further linked with any finite-element method system for the reliability-based optimal design of cable structures. It can be extended next toward the correlated and/or uncorrelated randomization of characteristics wind speed, ice covers, external temperatures, some geometric parameters of the existing and designed powerlines, and some stochastic dynamic response of the cable.