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Optimal control of wave energy converters with non-integer order performance indices: A dynamic programming approach

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  • Mahmoodi, Kumars
  • Razminia, Abolhassan
  • Ghassemi, Hassan

Abstract

In this paper, a fundamental theoretical framework of a control strategy is presented for wave energy converters (WECs) in a closed-loop configuration. The problem is translated to the optimal control, based on the Hamilton-Jacobi-Bellman (HJB) theory that some generalized semi-quadratic value functions are used as the stage cost within the performance index. The performance index is introduced as much as possible in the general quadratic form based on a non-integer order integral of the Riemann-Liouville form whose kernel plays as a tuning factor of the resultant optimal controller. Optimizing several compromising requirements in the presence of penalty on the final situation of the WEC is our main effort during which, based on the optimal control theory, a set of rigorous mathematical conditions have been derived for the optimal control law. Moreover, exploiting the capability of the non-integer order integrals, a time-dependent kernel has been involved in the stage cost which can be considered as a natural forgetting factor. A one-body and a two-body heaving point absorber WECs connected to a power take-off (PTO) are considered in order to validate the control strategy in irregular waves. Moreover, the performance of considered one-body WEC with and without the presence of the proposed optimal control strategy is assessed at eight hot spot locations of the Persian Gulf, based on the approximately 20-year (January 2000–May 2019) of the ERA5 reanalysis wave data set.

Suggested Citation

  • Mahmoodi, Kumars & Razminia, Abolhassan & Ghassemi, Hassan, 2021. "Optimal control of wave energy converters with non-integer order performance indices: A dynamic programming approach," Renewable Energy, Elsevier, vol. 177(C), pages 1212-1233.
    • Handle: RePEc:eee:renene:v:177:y:2021:i:c:p:1212-1233
    DOI: 10.1016/j.renene.2021.06.045
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    References listed on IDEAS

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    1. Mahmoodi, Kumars & Ghassemi, Hassan & Razminia, Abolhassan, 2019. "Temporal and spatial characteristics of wave energy in the Persian Gulf based on the ERA5 reanalysis dataset," Energy, Elsevier, vol. 187(C).
    2. Çelik, Anıl & Altunkaynak, Abdüsselam, 2019. "Experimental investigations on the performance of a fixed-oscillating water column type wave energy converter," Energy, Elsevier, vol. 188(C).
    3. Sangi, Roozbeh & Müller, Dirk, 2019. "Application of the second law of thermodynamics to control: A review," Energy, Elsevier, vol. 174(C), pages 938-953.
    4. Mahmoodi, Kumars & Ghassemi, Hassan & Razminia, Abolhassan, 2020. "Performance assessment of a two-body wave energy converter based on the Persian Gulf wave climate," Renewable Energy, Elsevier, vol. 159(C), pages 519-537.
    5. Wang, Liguo & Isberg, Jan & Tedeschi, Elisabetta, 2018. "Review of control strategies for wave energy conversion systems and their validation: the wave-to-wire approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 366-379.
    6. Li, Xiaofan & Liang, Changwei & Chen, Chien-An & Xiong, Qiuchi & Parker, Robert G. & Zuo, Lei, 2020. "Optimum power analysis of a self-reactive wave energy point absorber with mechanically-driven power take-offs," Energy, Elsevier, vol. 195(C).
    7. Ozkop, Emre & Altas, Ismail H., 2017. "Control, power and electrical components in wave energy conversion systems: A review of the technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 106-115.
    8. Sheng, Wanan, 2019. "Wave energy conversion and hydrodynamics modelling technologies: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 109(C), pages 482-498.
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    1. Gong, Haoxiang & Cao, Feifei & Han, Zhi & Liu, Shangze & Shi, Hongda, 2022. "Study on the wave energy capture spectrum based on wave height take-off," Energy, Elsevier, vol. 250(C).

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