Mathematical Modelling of a Wave-Energy Converter

  • William Lee
  • Michael Castle
  • Patrick Walsh
  • Patrick Kelly
  • Cian Murtagh
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


We report progress towards developing a mathematical model that can be used to optimise the design of a novel power take off unit for a wave energy generator. We show that the power take off unit can be considered as a non-smooth, dissipative dynamical system. We derive equations of motion using the Lagrangian framework, incorporating a Rayleigh dissipation function and discuss a procedure for generating approximate analytical solutions.



WTL acknowledges the support of MACSI, the Mathematics Applications Consortium for Science and Industry (, funded by the Science Foundation Ireland Investigator Award 12/IA/1683. MC acknowledges the funding support from the London Mathematical Society, via its Undergraduate Research Bursaries in Mathematics Scheme, that has contributed to this publication. PW, PK and CM acknowledges the support of Enterprise Ireland via the Innovation Voucher scheme.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • William Lee
    • 1
    • 2
  • Michael Castle
    • 3
  • Patrick Walsh
    • 4
  • Patrick Kelly
    • 4
  • Cian Murtagh
    • 5
  1. 1.MACSI, Department of Mathematics and StatisticsUniversity of LimerickLimerickIreland
  2. 2.Department of MathematicsUniversity of PortsmouthPortsmouthUK
  3. 3.Department of MathematicsUniversity of PortsmouthPortsmouthUK
  4. 4.Limerick WaveLimerickIreland
  5. 5.Seapower, Unit 3EnniscroneIreland

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