# Wave Energy Absorption in Irregular Waves by Feedforward Control System

• Shigeru Naito
• Shoichi Nakamura
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

## Summary

A number of theoretical and experimental papers on ocean wave energy absorption have been presented over the past few years [1]. Many of them are concerned with the characteristics of absorbed wave energy and the condition of optimum control in regular waves. Practically this is not sufficient, and more interest must be focused on the problem in irregular waves. Absorbed wave energy in irregular waves obtained by a generating system which is composed of a floating body and external mechanism has two components, one is a steady component and the other is a fluctuating one. In this paper, some problems about the two components mentioned above are studied. One is the theory of optimum control to obtain the maximum mean energy of irregular waves related to the steady part, and the other is the formulation of the spectrum about absorbed wave energy related to the fluctuating part. The optimum conditions for complete absorption of wave energy in regular waves are well known. However, to establish the system of wave energy absorption in irregular waves, it is necessary to consider the problem on the basis of the time domain analysis, because the optimum conditions depend on wave frequency and irregular waves contain many component waves having different frequencies. A system, in which the incident irregular waves are measured at a certain distance in front of the floating body with the external mechanism, is controlled instantaneously to improve the efficiency by using the measured wave data, called “Feedforward Control System for Wave Energy Absorption” is proposed. Furthermore, the law of causation in the characteristics of wave propagation is discussed from the view point of practical approach, because the kernel function of wave propagation, which is used in this system, does not usually satisfy the law of causation.

From a practical point of view, the fluctuating component is not desirable for using the absorbed wave energy, so it is necessary to devise the method of smoothing it. The formula of the spectrum for gathering absorbed wave energy by the multifloating bodies is obtained, in which the effect of the array on the fluctuation of absorbed wave energy is shown, and using the results, a suitable method to array the multifloating bodies to reduce the fluctuation of the absorbed wave energy is proposed. Some digital simulations with a two dimensional model of floating type wave absorber in irregular waves are carried out to confirm the validity of this formulations.

## Keywords

Wave Energy Regular Wave Ship Motion Time Domain Analysis Irregular Wave
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## Reference

1. 1).
Proc. 1st Symp. and 2nd Symp. on Wave Energy Utilization, Gothenburg,1979; Trondheim,1982Google Scholar
2. 2).
Bessho,M.,: Feasibility Study of a Floating Type Wave Absorbr:, 34th JTTC, (Japan Patent No.S. 48–65359),1973Google Scholar
3. 3).
Cummins, W.E.: The Impulse Response Function and Ship Motions, Shiffstechnik, Bd.9, Heft 47, 1962Google Scholar
4. 4).
Ogilvie, T.F.: Recent Progress Toward the Understanding and Prediction of Ship Motions, Proc. 5th Symp. on Naval Hydrodynamics, Bergen, 1964Google Scholar
5. 5).
Count, B.M. and Jefferys, E.R.: Wave Power, The Primary Interface, Proc. 13th Symp. on Naval Hydrodynamics, Tokyo, 1980Google Scholar
6. 6).
Falnes,J. and Budal, K.: Wave-Power Conversion by Point Absorber“, Norwegian Maritime Research, Vol. 6, No. 4, 1978Google Scholar
7. 7).
Milgram, J.H.: Active Water-Wave Absorbers, J.F.M., Vol. 42, 1970Google Scholar
8. 8).
Thomas, G.P. and Evans,D.V.: Arrays of three-dimensional wave-energy absorbers, J.F.M., Vol. 108, 1981Google Scholar
9. 9).
Maeda H., Kinoshita T., Kato S. and F.Suzuki: Fundamental Research on Absorbing Energy from Ocean Waves(3rd Report), Jour.of Soc. of Naval Arch. of Japan, Vol. 150, 1981Google Scholar