  The failure of overhead transmission lines in the United States can lead to
significant economic losses and widespread blackouts, affecting the lives of
millions. This study focuses on the reliability of transmission lines,
specifically examining the effects of wind, ambient temperature, and current
demands on lines, incorporating minimal and significant pre-existing damage. We
develop a Thermo-Electro-Mechanical Model to analyze the transmission line
failures across sensitive and affected states of the United States, integrating
historical data on wind and ambient temperature. By combining numerical
simulation with historical data analysis, our research assesses the impact of
varying environmental conditions on the reliability of transmission lines. Our
methodology begins with a deterministic approach to model temperature and
damage evolution, using phase-field modeling for fatigue and damage, coupled
with electrical and thermal models. Later, we adopt the Probability Collocation
Method to investigate the stochastic behavior of the system, enhancing our
understanding of uncertainties in model parameters, conducting sensitivity
analysis, and estimating the probability of failures over time. This approach
allows for a comprehensive analysis of factors affecting transmission line
reliability, contributing valuable insights into improving power line's
resilience against environmental conditions.
