Mixed Integer Programming models for planning maintenance at offshore wind farms under uncertainty

Abstract

We introduce the Stochastic Maintenance Fleet Transportation Problem for Offshore wind farms (SMFTPO), in which a maintenance provider determines an optimal, medium-term planning for maintaining multiple wind farms while controlling for uncertainty in the maintenance tasks and weather conditions. Since the maintenance provider is typically not the owner of a wind farm, it needs to adhere minimum service requirements that specify the required service. We consider three of such settings: 1) perform all maintenance tasks, 2) allow for a fraction of unscheduled tasks, and 3) incentivize to perform maintenance rather quickly. We provide a two-stage stochastic mixed integer programming model for the three SMFTPO settings, and solve it by means of Sample Average Approximation. In addition, we provide an overview of the, what we discovered, non-aligned modeling assumptions in the literature regarding operational decisions. By providing a series of special cases of the second-stage problem resembling the different modeling assumptions, we aim to establish a common consensus regarding the key modeling decisions to be taken in maintenance planning problems for offshore wind farms. We provide newly constructed, and publicly available, benchmark sets. We extensively compare the different SMFTPO settings and its special cases on those benchmark sets, and we show that the special case reformulations are very effective for solving the second-stage problems. In addition, we find that for particular cases, established modeling techniques result in overestimations and increased running times.

The Need for Ecosystem 4.0 to Support Maintenance 4.0: An Aviation Assembly Line Case

“…Shamsaei [10] mentioned that MIP is simpler, faster and more effective than other methodologies such as heuristics and meta-heuristics for industrial systems problems, like the proposed case study. This approach is also strengthened by Schrotenboer [18], who demonstrated that MIP could be successfully used to optimize maintenance equipment under operational uncertainties.…”

Maintenance cost minimization models for offshore wind farms: A systematic and critical review

“…Irawan et al 34 performed optimization for uncertainty reduction in routing for an OWF. Schrotenboer et al 35 Researchers also studied other processes directly or indirectly connected to OWF such as port suitability assessment, 87,88 selection of suitable maintenance strategy, 89 challenges of power integration, 90,91 and reviewed structures. 92,93 Some scholars worked on fault detection, 94,95 maintenance organization support model, 96 mixed-integer linear programming, 97 supply chain, 98,99 season-dependent CBM, 100 and three Echelon supply chain.…”

Green Hydrogen Plant: Optimal control strategies for integrated hydrogen storage and power generation with wind energy

“…In our experiments, we fitted daily wind speeds for each month of the year independently, similar as in Schrotenboer et al (2020). The fitted parameters are given in Table A…”