Abstract: A resilience assessment approach tailored for typhoon-perturbed transmission systems is introduced to address the limitations of traditional resilience assessment methods, which inadequately consider aging effects and cascading failures. This method incorporates the aging and cascading failure phenomena of transmission lines. Initially, a dual-time dimension fault evolution model for transmission systems is developed, accounting for line aging, wind-induced failure rates, and safe overload capacity. This model integrates the temporal dimensions of typhoon duration and cascading failures. Subsequently, two time-resolved resilience metrics for transmission grids, namely the system vulnerability and recovery rates, are formulated based on the system performance trajectory during typhoon events. Additionally, resilience indicators tailored for transmission systems with varying service lives are proposed, leveraging the correlation between system performance and aging. The overarching framework and assessment process for transmission system resilience are delineated by leveraging the evolutionary characteristics of transmission system performance under typhoon disturbances. Finally, a simulation study on the IEEE 39-bus system demonstrates that the proposed method effectively evaluates the resilience of transmission grids with diverse service lifetimes.