Changing climate conditions and extreme weather, combined with a growing dependence on electricity through the clean energy transition, makes power sector climate resiliency and adaptation a societal imperative. In this report, we present a novel methodology for climate resilience analysis developed at EPRI to evaluate the transmission network effects of a range of climate-related hazards. In Section Two, we summarize the potential climate impacts and vulnerabilities of the transmission system. In Section Three, we describe the methodology for analyzing localized climate projection data and hazard information to identify, define, and characterize contingency events for transmission resilience analysis using the RSIF (Resilient System Investment Framework). Finally, in Section Four we demonstrate this methodological approach by presenting illustrative examples of three specific climate hazards: extreme heat, coastal flooding, and wildfire risk. This research methodology to integrate future climate change threats into the quantitative assessment of transmission network effects will help evaluate vulnerability, and inform investments and strategic planning for climate resilience.