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A Hamiltonian Surface-Shaping Approach for Control System Analysis and the Design of Nonlinear Wave Energy Converters

Journal Article · · Journal of Marine Science and Engineering
DOI:https://doi.org/10.3390/jmse7020048· OSTI ID:1524204
 [1];  [1];  [1];  [2]
  1. Michigan Technological Univ., Houghton, MI (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
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The dynamic model of Wave Energy Converters (WECs) may have nonlinearities due to several reasons such as a nonuniform buoy shape and/or nonlinear power takeoff units. This paper introduces the Hamiltonian Surface-Shaping (HSS) approach as a tool for the analysis and design of nonlinear control of WECs. The Hamiltonian represents the stored energy in the system and can be constructed as a function of the WEC’s system states, its position, and velocity. The Hamiltonian surface is defined by the energy storage, while the system trajectories are constrained to this surface and determined by the power flows of the applied non-conservative forces. The HSS approach presented in this paper can be used as a tool for the design of nonlinear control systems that are guaranteed to be stable. The optimality of the obtained solutions is not addressed in this paper. The case studies displayed here cover regular and irregular waves and demonstrate that a nonlinear control system can result in a multiple fold increase in the harvested energy.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1524204
Report Number(s):
SAND--2019-5912J; 675843
Journal Information:
Journal of Marine Science and Engineering, Journal Name: Journal of Marine Science and Engineering Journal Issue: 2 Vol. 7; ISSN 2077-1312
Publisher:
MDPICopyright Statement
Country of Publication:
United States
Language:
English

References (5)

Nonlinear control of flap-type wave energy converter with a non-ideal power take-off system journal January 2015
A review of wave-energy extraction journal October 2007
Optimization of nonlinear wave energy converters journal August 2018
What is a limit cycle? journal December 2008
Nonlinear hydrodynamic and real fluid effects on wave energy converters journal March 2015

Cited By (1)

Extending Complex Conjugate Control to Nonlinear Wave Energy Converters journal January 2020

Figures / Tables (25)

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Related Subjects

16 TIDAL AND WAVE POWER
Hamiltonian surface shaping
nonlinear control
wave energy conversion