Wind Power Performance Optimization Considering Redundancy and Opportunistic Maintenance

  • Hadi Abdollahzadeh Sangroudi
Keywords: Weighted k-out-of-n system, Redundancy, Economic dependence, Opportunistic maintenance


In This paper the redundancy and imperfect opportunistic maintenance optimization of a multi-state weighted k-out-of-n system is formulated. The objective is to determine the k-out-of-n system redundancy level and the maintenance strategy which will minimize the wind farm life cycle cost subject to an availability constraint. A new condition based opportunistic maintenance approach is developed. Different component health state thresholds are introduced for imperfect maintenance of failed subsystems and working subsystems and preventive dispatching of maintenance teams. In addition, a simulation method is developed to evaluate the performance measures of the system considering different types of subsystems, maintenance activation delays and durations, limited number of maintenance teams, and discrete inspection of the system. Also, a multi-seed tabu search heuristic algorithm is also proposed to solve the formulated problem. An application to the optimal design of a wind farm is provided to illustrate the proposed approach.


Kulturel-Konak, S., Smith, A. E., Coit, D. W.: Efficiently solving the redundancy allocation problem using tabu search. IIE transactions, 35 (6), 515-526 (2003).

Amari, S. V., Pham, H.:A novel approach for optimal cost-effective design of complex repairable systems. Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on, 37 (3), 406-415 (2007).

Xie, W., Liao, H., Jin, T.: Maximizing system availability through joint decision on component redundancy and spares inventory. European Journal of Operational Research. 237 (1), 164-176 (2014).

Moghaddass, R., Zuo, M. J., Pandey, M.: Optimal design and maintenance of a repairable multi-state system with standby components. Journal of Statistical Planning and Inference. 142 (8), 2409-2420 (2012).

Fawzi, B., Hawkes, A. G.: Availability of an R-out-of-N system with spares and repairs. Journal of applied probability, 397-408 (1991).

Wang, K.-H.: An approach to cost analysis of the machine repair problem with two types of spares and service rates. Microelectronics Reliability 35 (11), 1433-1436 (1995).

Gurov, S. V., Utkin, L. V., Shubinsky, I. B.: Optimal reliability allocation of redundant units and repair facilities by arbitrary failure and repair distributions. Microelectronics Reliability 35 (12), 1451-1460 (1995).

Khatab, A., Nahas, N., Nourelfath, M.: Availability of K-out-of-N: G systems with non-identical components subject to repair priorities. Reliability Engineering & System Safety 94 (2), 142-151 (2009).

Yuan, L.: Reliability analysis for a k-out-of-n: G system with redundant dependency and repairmen having multiple vacations. Applied Mathematics and Computation 218 (24), 11959-11969 (2012).

Ruiz-Castro, J. E., Li, Q.-L.: Algorithm for a general discrete k-out-of-n: G system subject to several types of failure with an indefinite number of repairpersons. European Journal of Operational Research 211 (1), 97-111 (2011).

Nicolai, R. P., Dekker, R.: Optimal maintenance of multi-component systems: a review. Springer, (2008).

Pham, H., Wang, H.: Optimal (τ, T) opportunistic maintenance of ak‐out‐of‐n: G system with imperfect PM and partial failure. Naval Research Logistics (NRL) 47 (3), 223-239 (2000).

Krishnamoorthy, A., Ushakumari, P.: k-out-of-n: G system with repair: the D-policy. Computers & Operations Research 28 (10), 973-981 (2001).

Krishnamoorthy, A., Ushakumari, P., Lakshmy, B.: K-out-of-n-system with repair: The N-policy. Asia-Pacific Journal of Operational Research 19 (1), 47 (2002).

Krishnamoorthy, A., Rekha, A.: k-out-of-n-system with repair: T-policy. Korean Journal of Computational & Applied Mathematics 8 (1), 199-212 (2001).

Ushakumari, P., Krishnamoorthy, A.: k-out-of- n system with repair: the max (N, T) policy. Performance Evaluation 57 (2), 221-234 (2004).

Qi, X., Zhang, Z., Zuo, D., Yang, X.: Optimal Maintenance Policy for High Reliability Load-Sharing Computer Systems with k-out-of-n: G Redundant Structure. Appl. Math 8 (1L), 341-347 (2014).

Ding, F., Tian, Z.: Opportunistic maintenance for wind farms considering multi-level imperfect maintenance thresholds. Renewable Energy 45, 175-182 (2012).

Abdollahzadeh, H., Atashgar, K., Abbasi, M.: Multi-objective opportunistic maintenance optimization of a wind farm considering limited number of maintenance groups. Renewable Energy 88, 247-261 (2016).

Tian, Z., Jin, T., Wu, B., Ding, F.: Condition based maintenance optimization for wind power generation systems under continuous monitoring. Renewable Energy 36 (5), 1502-1509 (2011).

Gürler, Ü., Kaya, A.: A maintenance policy for a system with multi-state components: an approximate solution. Reliability Engineering & System Safety 76 (2), 117-127 (2002).

de Smidt-Destombes, K. S., van der Heijden, M. C., van Harten, A.: Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems. International Journal of Production Economics 118 (1), 260-268 (2009).

Nourelfath, M., Châtelet, E., Nahas, N.: Joint redundancy and imperfect preventive maintenance optimization for series–parallel multi-state degraded systems. Reliability Engineering & System Safety 103, 51-60 (2012).

Liu, Y., Huang, H.-Z., Wang, Z., Li, Y., Yang, Y.: A joint redundancy and imperfect maintenance strategy optimization for multi-state systems. Reliability, IEEE Transactions on 62 (2), 368-378 (2013).

Xiao, H., Peng, R.: Optimal allocation and maintenance of multi-state elements in series–parallel systems with common bus performance sharing. Computers & Industrial Engineering 72, 143-151 (2014).

Atashgar, k., Abdollahzadeh, H.: Reliability optimization of wind farms considering redundancy and opportunistic maintenance strategy. Energy Conversion and Management 112, 445–458 (2016).

Costa, A., Alfieri, A., Matta, A., Fichera, S.: A parallel tabu search for solving the primal buffer allocation problem in serial production systems. Computers & Operations Research 64, 97-112 (2015).

Blum, C., Roli, A.: Metaheuristics in combinatorial optimization: Overview and conceptual comparison. ACM Computing Surveys (CSUR) 35 (3), 268-308 (2003).

Abdollahzadeh, H., Varela, L., Atashgar, K., Putnik, G. D.: Condition Based Maintenance Optimization for MultiState Wind Power Generation Systems under Periodic Inspection. FME Transactions 43, 319-327 (2015).

How to Cite
Sangroudi, H. 2018. Wind Power Performance Optimization Considering Redundancy and Opportunistic Maintenance. MENDEL. 24, 1 (Jun. 2018), 55-62. DOI:
Research articles