  Due to the increasing share of renewable energy resources and the emergence
of couplings of different energy carrier grids, which may support the
electricity networks by providing additional flexibility, conducting research
on the properties of multi-energy systems is necessary. Primarily to keep
stable grid operation and provide efficient planning, the resilience of such
systems against low-probability, high-impact events is central. Previous
steady-state resilience studies of electricity grids also involved
investigating the topological attributes from a complex network theory
perspective. However, this work aims to determine the influence of complex
topological attributes on the resilience of coupled energy grids. To achieve
this, we set up a Monte Carlo simulation to calculate the load-shedding
performance indicator for the grids when affected by high-impact events. This
indicator is used to calculate resilience metrics, which express the influence
of the grids on each other. The metrics are the base to search for correlations
between centrality/vitality metrics and the resilience impact metric. We apply
our method to a case study based on a benchmark electricity grid. Our results
show that, first, our impact metric is feasible for determining the influences
of the network on each other. Second, we show that increasing coupling
densities can lead to lower resilience in single-carrier grids. Third, it is
apparent that centrality influences the impact of the grid components'
resilience.
