The Expected Values of Self- and Mutual Impedances of Overhead Lines and Impacts of on Sags and Phase Conductor Imbalances: Part 2

• Published in: IEEE access Vol. 9; pp. 122274 - 122283
• Main Author: Kim, Insu
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Carson’s integral; closed-form solution; Closed-form solutions; Conductivity; Conductors; Expected values; Finite element analysis; Finite element method; Impedance; Monte Carlo simulation; Power lines; Random sampling; self- and mutual impedances; Transmission line matrix methods; Transmission lines; Uncertainty
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2021.3107575

This paper presents a method that finds the expected values of self- and mutual impedances of overhead lines with the uncertainties such as the ground resistivity, conductor characteristics, and transmission line structures. For this purpose, this study designs a stochastic random sampling method that removes the uncertainties. A finite element analysis method that includes a single logarithmic closed-form solution to Carson's improper integral is adopted. The impact of an increase in sags and an imbalance in phase conductors on self- and mutual impedances is examined. As a result, the expected values of the self- and mutual impedances of an overhead line are evaluated. It is also shown that as the sag ratio increases, the self- and mutual impedances decrease.