Optimising energy system models are often used to derive roadmaps for redesigning energy systems from climate targets. When considering large-scale, i.e. national or continental systems, these models usually focus on the minimisation of economic costs. As a result of the ongoing transformation, energy systems are increasingly characterised by the extensive and decentralised use of renewable energies, far-reaching digitalisation and the integration of the previously mostly separate sub-systems of electricity, heat and fuel supply. The associated structural changes also have an impact on the resilience requirements of the corresponding energy systems. This chapter addresses the effects of the transformation on the resilience of future energy systems. In doing so, it evaluates the possibilities and requirements for a structured resilience analysis with optimising energy system models. Based on this, it derives a modelling procedure for a systematic stress test analysis. Furthermore, this chapter discusses the limitations in the usage of such models in resilience analysis arising from structural as well as data-related aspects.