Scaling of transmission capacities in coarse-grained renewable electricity networks
Mirko Sch\"afer, Simon Bugge Siggaard, Kun Zhu, Chris Risager Poulsen,, and Martin Greiner

TL;DR
This paper derives analytical scaling laws for transmission capacity and cost in coarse-grained renewable electricity networks, showing weak cost scaling and validating results with a detailed European system model.
Contribution
It introduces analytical scaling laws for transmission measures in coarse-grained renewable networks, bridging simplified models and detailed system data.
Findings
Weak scaling of transmission costs with spatial resolution
Analytical laws accurately describe infrastructure scaling
Validated with a detailed European renewable system model
Abstract
Network models of large-scale electricity systems feature only a limited spatial resolution, either due to lack of data or in order to reduce the complexity of the problem with respect to numerical calculations. In such cases, both the network topology, the load and the generation patterns below a given spatial scale are aggregated into representative nodes. This coarse-graining affects power flows and thus the resulting transmission needs of the system. We derive analytical scaling laws for measures of network transmission capacity and cost in coarse-grained renewable electricity networks. For the cost measure only a very weak scaling with the spatial resolution of the system is found. The analytical results are shown to describe the scaling of the transmission infrastructure measures for a simplified, but data-driven and spatially detailed model of the European electricity system with…
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