This study analyzes the vulnerabilities of critical power infrastructure under extreme weather and proposes strategies to enhance resilience through comparative case analysis. As climate change accelerates, extreme events are becoming the “new normal,” triggering cascading failures that disrupt electricity supply and destabilize interdependent systems. Focusing on the 2021 Texas winter storm and the 2020 California heatwave, the research examines how extreme cold and heat stressed power systems differently but led to similar outcomes: severe supply-demand imbalances and socio-economic disruption. Through theoretical discussion, literature review, and case analysis, the study identifies controllable vulnerabilities (aging infrastructure, inadequate reserves, governance gaps) and uncontrollable risks (extreme weather, renewable volatility, cyber threats), along with shared weaknesses such as limited storage and fragile reserve margins. It concludes by proposing integrated strategies, energy diversification, smart grids, equipment upgrades, forecasting, coordinated governance, and climate-resilient planning, to strengthen electricity security and societal stability amid cascading climate risks.