Development of a novel nonlinear system identification scheme for the pressure fluctuation inside an oscillating water column-wave energy converter Part I: Theoretical background and harmonic excitation case

Ocean Engineering

Volumn 80, Issue , 2014, Pages 84-99

  Gkikas, G D ^a   Athanassoulis, G A ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Frequency amplitude domain; Oscillating water column; System identification; Volterra series; Wiener Hammerstein cascade

Indexed keywords

HARMONIC ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; RELIGIOUS BUILDINGS; WAVE POWER;

FREQUENCY-AMPLITUDE DOMAIN; MONOCHROMATIC EXCITATION; NON-LINEAR SYSTEM IDENTIFICATION; NONLINEAR CHARACTERISTICS; OSCILLATING WATER COLUMN; SECOND AND THIRD HARMONICS; VOLTERRA SERIES; WIENER-HAMMERSTEIN;

WAVE ENERGY CONVERSION;

AMPLITUDE; NONLINEARITY; NUMERICAL MODEL; OSCILLATION; THEORETICAL STUDY; WATER COLUMN; WAVE ENERGY;

EID: 84897970617     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.oceaneng.2013.05.028     Document Type: Article

References (46)

1. J.F. Barrett The use of functionals in the analysis of nonlinear physical systems J. Electron. Control 15 1963 567 615
2. A. Bejan Advanced Engineering Thermodynamics 1997 Wiley New York
3. J.L. Black, C.C. Mei, and M.C.G. Bray Radiation and scattering of water waves by rigid bodies J. Fluid Mech. 46 1971 151 164
4. N.K. Bose Digital Filters: Theory and Applications 1985 Elsevier New York
5. S. Boyd, and L.O. Chua Fading memory and the problem of approximating nonlinear operators with Volterra series IEEE Trans. Circuits Syst. 11 1985 1150 1161
6. S. Boyd, L.O. Chua, and C.A. Desoer Analytical foundations of Volterra series IMA J. Math. Control Inf. 1 1984 243 282
7. S. Boyd, Y.S. Tang, and L.O. Chua Measuring Volterra kernels IEEE Trans. Circuits Syst. 30 1983 571 577
8. R.W. Brockett Volterra series and geometric control theory Automatica 12 1976 167 176
9. A. Chatterjee, and N.S. Vyas Non-linear parameter estimation through Volterra series using the method of recursive iteration through harmonic probing J. Sound Vib. 268 2003 657 678
10. A. Chatterjee, and N.S. Vyas Non-linear parameter estimation in multi-degree-of-freedom systems using multi-input Volterra series Mech. Syst. Sig. Process. 18 2004 457 489
11. Y.M.C. Delaure, and A. Lewis 3D hydrodynamic modeling of fixed oscillating water column wave power plant by a boundary element methods Ocean Eng. 30 2003 309 330
12. F.J. Doyle, R.K. Pearson, and B.A. Ogunnaike Identification and Control using Volterra models 2002 Springer London
13. D.V. Evans Wave power absorption by systems of oscillating surface pressure distributions J. Fluid Mech. 114 1982 481 499
14. A.F. de O. Falcão, and P.A.P. Justino OWC wave energy devices with air flow control Ocean Eng. 26 1275-1295 1999
15. J. Falnes Ocean Waves and Oscillating Systems, Linear Interactions Including Wave-Energy Extraction 2002 Cambridge University Press Cambridge
16. L.M.C. Gato, V. Warfield, and A. Thakker Performance of a high-solidity Wells turbine for an OWC wave power plant Trans. ASME J. Energy Res. Technol. 118 1996 263 268
17. R. Gervelas, F. Trarieux, and M. Patel A time-domain simulator for an oscillating water column in irregular waves at model scale Ocean Eng. 38 2011 1007 1013
18. F. Giri, and E. Bai Block-Oriented Nonlinear System Identification. Lecture Notes in Control and Information Sciences 2010 Springer-Verlag Berlin
19. Gkikas, G.D., Xiros, N.I., Athanassoulis, G.A. Belibassakis, K.A., 2006. A nonlinear model for Oscillating Water Column analysis, design and control. In: 16th Annu. Int. Offshore and Polar Conf. and Exhib. ISOPE 2006, San Francisco USA.
20. P. Gyftopoulos, and G.P. Beretta Thermodynamics: Foundations and Applications 1991 McMillan New York
21. R. Haber, and H. Unbehauen Structure identification of nonlinear dynamic systems - a survey on input/output approaches Automatica 26 1990 651 677
22. I.W. Hunter, and M.J. Korenberg The identification of nonlinear biological systems: Wiener and Hammerstein cascade models Biol. Cybern. 55 1986 135 144
23. L.B. Jackson Digital Filters and Signal Processing third ed. 1996 Kluwer Boston
24. M.J. Korenberg, and I.W. Hunter The identification of nonlinear biological systems: LNL cascade models Biol. Cybern. 55 1986 125 134
25. Z.Q. Lang, and S.A. Billings Output frequencies of nonlinear systems Int. J. Control 67 1997 713 730
26. R. Mann On the identification of separable kernel systems Biol. Cybern. 35 1979 197 204
27. H. Martins-rivas, and C.C. Mei Wave power extraction from an oscillating water column along a straight coast Ocean Eng. 36 2009 426 433
28. H. Martins-rivas, and C.C. Mei Wave power extraction from an oscillating water column at the tip of a breakwater J. Fluid Mech. 626 2009 395 414
29. C.C. Mei, and J.L. Black Scattering of surface waves by rectangular obstacles in water of finite depth J. Fluid Mech. 33 1969 499 511
30. S.K. Mitra Digital Signal Processing: A Computer Based Approach first ed. 1998 McGraw-Hill New York
31. J-R. Nader, S-P. Zhu, P. Cooper, and B. Stappenbelt A finite-element study of the efficiency of arrays of oscillating water column wave energy converters Ocean Eng. 43 2012 72 81
32. E. Ngoya, C. Quindroit, and J.M. Nebus On the continuous-time model for nonlinear-memory modeling of RF power amplifiers. IEEE Trans. Microwave Theory Tech. 57 2009 3278 3292
33. T. Ogunfumi Adaptive Nonlinear System Identification The Volterra and Wiener Model Approaches 2007 Springer New York
34. G. Palm On the representation and approximation of nonlinear systems Biol. Cybern. 31 1978 119 124
35. G. Palm, and T. Poggio The Volterra representation and the wiener expansion: validity and pitfalls SIAM J. Appl. Math. 33 1977 195 216
36. R. Porter, and D.V. Evans Complementary approximations to wave scattering by vertical barriers J. Fluid Mech. 294 1995 155 180
37. W.J. Rugh Nonlinear System Theory; the Volterra/Wiener approach 1981 The John Hopkins University Press Baltimore and London
38. I.W. Sandberg, and L. Xu Approximation of myopic systems whose inputs need not be continuous Multidimension. Syst. Signal Process. 9 1998 207 224
39. I.W. Sandberg Series expansions for nonlinear systems Circuits Syst. Signal Process 2 1983 77 87
40. I.W. Sandberg A perspective on system theory IEEE Trans. Circuits Syst. 31 1984 88 103
41. M. Schetzen The Volterra and Wiener Theories of Nonlinear Systems 1980 Wiley New York
42. Storer, D.M., 1991. Dynamic Analysis of Nonlinear Structures Using Higher Order Frequency Response Functions, Ph.D. Thesis, Department of Engineering, University of Manchester, Manchester.
43. V. Volterra Theory of Functional of Integral and Integro-Differential Equations 1959/2005 Dover New York
44. D.J. Wang, M. Katory, and Y.S. Li Analytical and experimental investigation on the hydrodynamic performance of onshore wave-power devices Ocean Eng. 29 2002 871 885
45. A. Watanabe, and L. Stark Kernel method for nonlinear analysis: identification of a biological control system Math. Biosci. 27 1975 99 108
46. N. Wiener Nonlinear Problems in Random Theory 1958 M.I.T. Press and Wiley New York