Mathematical Modelling and Simulation of Tidal Energy

Year 2021, Volume: 5 Issue: 1, 38 - 46, 31.03.2021

Oniyeburutan Ebakumo

Abstract

This paper presents a mathematical model to explain the phenomenon of tidal energy and the creation of a Matlab/Simulink to illustrate how the tidal current energy system works which is essential in power generation. A thorough explanation of tidal energy, including the science of tidal power, as well as the different operating mode has been discussed in this paper. Various literatures has been reviewed, the method used in this work were adopted from Sir Isaac Newton Famous Law of Gravitation. The derived model were applied in Matlab/Simulink, an output result were analyzed. Based on these result it was argued that tidal current has huge amount of energy that can be extracted and converted to a usable form.

Keywords

Renewable Energy, Mathematical Modelling, Tidal Energy, Phenomenon

Supporting Institution

University of Port Harcourt, Rivers State Nigeria

Project Number

823343

Thanks

Thank you for your patience and time

References

• [1] M.Z ,Zainol , Z. Ismail and I. Nuraihan “A Review on the Status of Tidal Energy Technology Worldwide” Sci.Int.(Lahore),29(3),659-667,2017 ISSN 1013-5316;CODEN: SINTE 8,2017. https://www.researchgate.net/publication/317617074
• [2] A. Khaligh, “Energy Harvesting”, Illinois Institute of Technology. 2008
• [3] NOAA, ―Types and causes of tidal cycle‖ National Ocean and Atmospheric Administration, National Ocean Service, U.S Govt.
• [4] R. H., Clark, “Elements of tidal-electric engineering”, John Wiley and Sons, 2007
• [5] Yun Seng. Lim and Siong Lee. Koh .” Marine Tidal Current Electric Power Generation”, State of Art and Current Status. 2009
• [6] R. N, Trine and E.S, Linn, “A Profit Maximisation Model for Operation of a Tidal Lagoon Power Plant” Norwegian University of Science and Technology, pp 1, 2016.
• [7] T. J. Hammons , “Tidal Power”. Proc. IEEE, Vol 8, pp 419-433, 1993.
• [8] M. Bjarni M, ”Harnesting tidal energy in the westfjords” M.sc Thesis, faculty of business and science, University of Akureyri, 2010.
• [9] A. J. Clarke, “Regulating the output characteristics of tidal current power stations to facilitate better base load matching over the lunar cycle”. Renewable Energy, Vol 31, no 2, pp 173-180, 2006.
• [10] L. S. Blunden and A. S. Bahaj A. S., Initial evaluation of tidal stream energy resources at Portland bill, UK journal of renewable energy volume 31, pp 121-132, 2006.
• [11] A. Irena A., Tidal energy technology brief 3 International Renewable Energy Agency, 2014
• [12] Md, Shaikh., Rubayiat Tousif, Md Shaiyek and Buland Taslin, Tidal power: An effective method of generating power, International journal of scientific & engineering research volume 2 issue 5, 2011.
• [13] A. M., Gorlov A. M., Tidal energy Northeastern University, Boston Massachusetts U.S.A. pp 2955 – 2960, 2001
• [14] V. Black V., Tidal stream energy resource and technology summary report, carbon trust, 2005
• [15]C. Frost, C.E. Morris, A. Mason-jones, D.M.O, Doherty, and T, O, Doherty, The effect of tidal flow directionality on tidal turbine performance characteristics, renewable energy volume 78, pp 609 – 620, 2015.
• [16] I. G. Bryden and G. T. Melville, Choosing and evaluating site for tidal current development, proceedings of the institution of mechanical engineers part A journal of power and energy, 2004.
• [17] I. G. Bryden and J.C., Scott. How much energy can be extracted from moving water with a free surface: A question of importance in the field of tidal current energy?. Journal of renewable energy, volume 32 pp 1961 – 1966, 2007.
• [18] M. Vikas, R. Subba and K. S. Jaya, Tidal energy. A review, proceeding of international conference on hydraulic, water resources and coastal engineering (Hydro 2016), CWPRS pune, India, 2016.
• [19] I. Newton ,”Philosophiae Naturalis Principia Mathematica”, London. 1687
• [20] M.W., Anyakoha M.W,”New School Physics” Africana First Publishers Plc, Fourth edition, pp 370-72, 2012.
• [21] M. Marwa, H. Faten., A. Abd El-shafy and A. Gaber, “Modelling and simulation of tidal current turbine with permanent magnet synchronous generator”, TELKOMNIKA Journal of electrical engineering, Vol 13, No. 1, pp 57 – 64, 2015.