Optimal preventive maintenance for wind turbines considering the effects of wind speed

Abstract

This paper presents a preventive maintenance policy for wind turbines considering three effects of wind speed: accelerating hazard rate, restricting maintenance implementation, and affecting downtime cost. The effect on the hazard rate is described by a proportional hazards model. The restriction on maintenance actions results in the elongation of maintenance duration. The downtime cost is evaluated based on the power output curve model. Three failure types (i.e., catastrophic failure, critical failure, and minor failure) and multiple maintenance actions (i.e., preventive and corrective replacements, preventive and corrective general repairs, and minimal repair) are integrated into the policy. The objective is to determine the optimal maintenance policy that minimizes the long-run average cost rate. The optimization problem is formulated and solved in the semi-Markov decision process (SMDP) framework. A practical example is provided to illustrate the proposed method. The comparison with other policies shows the superiority of the proposed policy as well as the significance of the three effects of wind speed in maintenance decision-making.

Optimal preventive maintenance scheduling for wind turbines under condition monitoring

“…The Cox regression parameter β mentioned in ( 3) is estimated from the training data set (2) assuming that the data is labeled in such a way that the failure times are sorted in the ascending order…”

“…The recent literature on wind turbine preventive maintenance planning extends the modelling scope by paying special attention to particular performance factors for the wind power systems. Paper [2] looks into the effects of the varying wind speed on the wind turbine maintenance planning. Paper [3] singles out the converter as a crucial component of the wind turbine and builds an optimization model to find the optimal replacement times for the converters.…”

Statistics and probability theory in renewable energy: Teaching and research

“…Markov chains (or Markov processes) have been found to be useful for modeling dependence that exists in sequential data and have been used in wind speed modeling as well (see, e.g., Sahin and Sen, 15 Ettoumi et al, 16 Shamshad et al, 17 Tang et al, 18 Zheng et al 19 ). If a sequence {v n } n≥1 follows a rth order Markov chain, then it holds…”

Layout optimisation algorithms and reliability assessment of wind farm for microgrid integration: A comprehensive review

“…where, V d l kab is the velocity deficit in the wind speed due to WT at (a,b), is the efficiency of WT, is the air density, A is the cross-sectional area. The wind velocity is replaced by the velocity deficit in (19). The goal is to maximise the power and minimise the cost T C by using (20) and ( 21) by locating WTs T N (= n) at (l, k) positions.…”

“…The applications of various optimisation techniques including Pseudo number random generation and binary artificial algae algorithm (BAAA) are discussed and explained mathematically. Further, the reliability and economical models are considered in the WF design assessment, and reliability assessment with its improvement methods are also discussed for WF-integrated EPS [19].…”