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Offshore wind farms (OWFs) have emerged as a vital component in the transition to renewable energy, especially for countries like the United Kingdom with abundant shallow coastal waters suitable for wind energy exploitation. As net-zero emissions targets propel investments in renewables, OWFs present unique engineering challenges, particularly in the design of cost-effective and efficient infrastructural networks such as layout and electrical system optimization. Diverging from the previous approaches in electrical system optimization for OWFs, this paper introduces network robustness as a pivotal metric in design evaluations, differing from traditional reliability evaluation focused studies. By designing approximate solutions to the capacitated minimum spanning tree (CMST) using an approach grounded in a radial space partitioning strategy, the application of the Non-dominated Sorting Genetic Algorithm II …