Closed-loop two-stage stochastic optimization of offshore wind farm collection system

A two-stage stochastic optimization model for the design of the closed-loop cable layout of an
Offshore Wind Farm (OWF) is presented. The model consists on a Mixed Integer Linear Program (MILP)
with scenario numeration incorporation to account for both wind power and cable failure stochasticity.
The objective function supports simultaneous optimization of: (i) Initial investment (network topology and
cable sizing), (ii) Total electrical power losses costs, and (iii) Reliability costs due to energy curtailment
from cables failures. The mathematical optimization program is embedded in an iterative framework
called PCI (Progressive Contingency Incorporation), in order to simplify the full problem while still
including its global optimum. The applicability of the method is demonstrated by application to a realworld
instance. The results show the functionality of the model in quantifying the economic profitability
when applying stochastic optimization compared to a deterministic approach, given certain values of cables
failure parameters.