IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v48y2012icp392-403.html
   My bibliography  Save this article

Wave energy converter control by wave prediction and dynamic programming

Author

Listed:
  • Li, Guang
  • Weiss, George
  • Mueller, Markus
  • Townley, Stuart
  • Belmont, Mike R.

Abstract

We demonstrate that deterministic sea wave prediction (DSWP) combined with constrained optimal control can dramatically improve the efficiency of sea wave energy converters (WECs), while maintaining their safe operation. We focus on a point absorber WEC employing a hydraulic/electric power take-off system. Maximizing energy take-off while minimizing the risk of damage is formulated as an optimal control problem with a disturbance input (the sea elevation) and with both state and input constraints. This optimal control problem is non-convex, which prevents us from using quadratic programming algorithms for the optimal solution. We demonstrate that the optimum can be achieved by bang–bang control. This paves the way to adopt a dynamic programming (DP) algorithm to resolve the on-line optimization problem efficiently. Simulation results show that this approach is very effective, yielding at least a two-fold increase in energy output as compared with control schemes which do not exploit DSWP. This level of improvement is possible even using relatively low precision DSWP over short time horizons. A key finding is that only about 1 second of prediction horizon is required, however, the technical difficulties involved in obtaining good estimates necessitate a DSWP system capable of prediction over tens of seconds.

Suggested Citation

  • Li, Guang & Weiss, George & Mueller, Markus & Townley, Stuart & Belmont, Mike R., 2012. "Wave energy converter control by wave prediction and dynamic programming," Renewable Energy, Elsevier, vol. 48(C), pages 392-403.
    • Handle: RePEc:eee:renene:v:48:y:2012:i:c:p:392-403
    DOI: 10.1016/j.renene.2012.05.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148112003163
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2012.05.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    2. Belmont, M.R., 2010. "Increases in the average power output of wave energy converters using quiescent period predictive control," Renewable Energy, Elsevier, vol. 35(12), pages 2812-2820.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ji, Xueyu & Shami, Elie Al & Monty, Jason & Wang, Xu, 2020. "Modelling of linear and non-linear two-body wave energy converters under regular and irregular wave conditions," Renewable Energy, Elsevier, vol. 147(P1), pages 487-501.
    2. Yetkin, Mertcan & Kalidoss, Sudharsan & Curtis, Frank E. & Snyder, Lawrence V. & Banerjee, Arindam, 2021. "Practical optimal control of a wave-energy converter in regular wave environments," Renewable Energy, Elsevier, vol. 171(C), pages 1382-1394.
    3. Zou, Shangyan & Song, Jiajun & Abdelkhalik, Ossama, 2023. "A sliding mode control for wave energy converters in presence of unknown noise and nonlinearities," Renewable Energy, Elsevier, vol. 202(C), pages 432-441.
    4. Li, Guang & Belmont, Mike R., 2014. "Model predictive control of sea wave energy converters – Part II: The case of an array of devices," Renewable Energy, Elsevier, vol. 68(C), pages 540-549.
    5. Tunde Aderinto & Hua Li, 2020. "Conceptual Design and Simulation of a Self-Adjustable Heaving Point Absorber Based Wave Energy Converter," Energies, MDPI, vol. 13(8), pages 1-15, April.
    6. Zou, Shangyan & Abdelkhalik, Ossama & Robinett, Rush & Bacelli, Giorgio & Wilson, David, 2017. "Optimal control of wave energy converters," Renewable Energy, Elsevier, vol. 103(C), pages 217-225.
    7. Zhang, Jincheng & Zhao, Xiaowei & Jin, Siya & Greaves, Deborah, 2022. "Phase-resolved real-time ocean wave prediction with quantified uncertainty based on variational Bayesian machine learning," Applied Energy, Elsevier, vol. 324(C).
    8. Li, Liang & Gao, Yan, 2023. "Development of a real-time wave energy control with consideration of control latency," Energy, Elsevier, vol. 277(C).
    9. Coe, Ryan G. & Bacelli, Giorgio & Forbush, Dominic, 2021. "A practical approach to wave energy modeling and control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 142(C).
    10. Ekström, Rickard & Ekergård, Boel & Leijon, Mats, 2015. "Electrical damping of linear generators for wave energy converters—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 42(C), pages 116-128.
    11. Li, Liang & Yuan, Zhiming & Gao, Yan, 2018. "Maximization of energy absorption for a wave energy converter using the deep machine learning," Energy, Elsevier, vol. 165(PA), pages 340-349.
    12. Yu, Shiwei & Gao, Siwei & sun, Han, 2016. "A dynamic programming model for environmental investment decision-making in coal mining," Applied Energy, Elsevier, vol. 166(C), pages 273-281.
    13. Liu, Ye & Wu, Xiaogang & Du, Jiuyu & Song, Ziyou & Wu, Guoliang, 2020. "Optimal sizing of a wind-energy storage system considering battery life," Renewable Energy, Elsevier, vol. 147(P1), pages 2470-2483.
    14. Shabara, Mohamed A. & Abdelkhalik, Ossama, 2023. "Dynamic modeling of the motions of variable-shape wave energy converters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).
    15. Chang, Grace & Jones, Craig A. & Roberts, Jesse D. & Neary, Vincent S., 2018. "A comprehensive evaluation of factors affecting the levelized cost of wave energy conversion projects," Renewable Energy, Elsevier, vol. 127(C), pages 344-354.
    16. 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.
    17. Ashton, I. & Van-Nieuwkoop-McCall, J.C.C. & Smith, H.C.M. & Johanning, L., 2014. "Spatial variability of waves within a marine energy site using in-situ measurements and a high resolution spectral wave model," Energy, Elsevier, vol. 66(C), pages 699-710.
    18. Burgaç, Alper & Yavuz, Hakan, 2019. "Fuzzy Logic based hybrid type control implementation of a heaving wave energy converter," Energy, Elsevier, vol. 170(C), pages 1202-1214.
    19. Hancheol Cho & Giorgio Bacelli & Ryan G. Coe, 2019. "Model Predictive Control Tuning by Inverse Matching for a Wave Energy Converter," Energies, MDPI, vol. 12(21), pages 1-18, October.
    20. Li, Guang & Belmont, Michael R., 2014. "Model predictive control of sea wave energy converters – Part I: A convex approach for the case of a single device," Renewable Energy, Elsevier, vol. 69(C), pages 453-463.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Voelkel, Michael A. & Sachs, Anna-Lena & Thonemann, Ulrich W., 2020. "An aggregation-based approximate dynamic programming approach for the periodic review model with random yield," European Journal of Operational Research, Elsevier, vol. 281(2), pages 286-298.
    2. Tan, Madeleine Sui-Lay, 2016. "Policy coordination among the ASEAN-5: A global VAR analysis," Journal of Asian Economics, Elsevier, vol. 44(C), pages 20-40.
    3. D. W. K. Yeung, 2008. "Dynamically Consistent Solution For A Pollution Management Game In Collaborative Abatement With Uncertain Future Payoffs," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 517-538.
    4. Hanafi, Said & Freville, Arnaud, 1998. "An efficient tabu search approach for the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 659-675, April.
    5. Renato Cordeiro Amorim, 2016. "A Survey on Feature Weighting Based K-Means Algorithms," Journal of Classification, Springer;The Classification Society, vol. 33(2), pages 210-242, July.
    6. Dmitri Blueschke & Ivan Savin, 2015. "No such thing like perfect hammer: comparing different objective function specifications for optimal control," Jena Economics Research Papers 2015-005, Friedrich-Schiller-University Jena.
    7. Changming Ji & Chuangang Li & Boquan Wang & Minghao Liu & Liping Wang, 2017. "Multi-Stage Dynamic Programming Method for Short-Term Cascade Reservoirs Optimal Operation with Flow Attenuation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(14), pages 4571-4586, November.
    8. Ghassan, Hassan B. & Al-Jefri, Essam H., 2015. "الحساب الجاري في المدى البعيد عبر نموذج داخلي الزمن [The Current Account in the Long Run through the Intertemporal Model]," MPRA Paper 66527, University Library of Munich, Germany.
    9. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.
    10. Mercedes Esteban-Bravo & Jose M. Vidal-Sanz & Gökhan Yildirim, 2014. "Valuing Customer Portfolios with Endogenous Mass and Direct Marketing Interventions Using a Stochastic Dynamic Programming Decomposition," Marketing Science, INFORMS, vol. 33(5), pages 621-640, September.
    11. Ohno, Katsuhisa & Boh, Toshitaka & Nakade, Koichi & Tamura, Takayoshi, 2016. "New approximate dynamic programming algorithms for large-scale undiscounted Markov decision processes and their application to optimize a production and distribution system," European Journal of Operational Research, Elsevier, vol. 249(1), pages 22-31.
    12. Oleg Malafeyev & Achal Awasthi, 2015. "A Dynamic Model of Functioning of a Bank," Papers 1511.01529, arXiv.org.
    13. Bellemare, Charles, 2007. "A life-cycle model of outmigration and economic assimilation of immigrants in Germany," European Economic Review, Elsevier, vol. 51(3), pages 553-576, April.
    14. Daniel Adelman & George L. Nemhauser & Mario Padron & Robert Stubbs & Ram Pandit, 1999. "Allocating Fibers in Cable Manufacturing," Manufacturing & Service Operations Management, INFORMS, vol. 1(1), pages 21-35.
    15. Fosgerau, Mogens & Frejinger, Emma & Karlstrom, Anders, 2013. "A link based network route choice model with unrestricted choice set," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 70-80.
    16. Alipanah, A. & Razzaghi, M. & Dehghan, M., 2007. "Nonclassical pseudospectral method for the solution of brachistochrone problem," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1622-1628.
    17. M Batty, 1971. "Exploratory Calibration of a Retail Location Model Using Search by Golden Section," Environment and Planning A, , vol. 3(4), pages 411-432, December.
    18. Li, Haitao & Womer, Norman K., 2015. "Solving stochastic resource-constrained project scheduling problems by closed-loop approximate dynamic programming," European Journal of Operational Research, Elsevier, vol. 246(1), pages 20-33.
    19. Jih-Jeng Huang, 2016. "Resource decision making for vertical and horizontal integration problems in an enterprise," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(11), pages 1363-1372, November.
    20. Mauro Boianovsky, 2002. "Simonsen and the early history of the cash\in-advance approach," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 9(1), pages 57-71.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:48:y:2012:i:c:p:392-403. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.