On Implementing Cummins Equation to Represent Accurate Wave Radiation Forces in Modelica

Menon, A.; Haider, A.; Bubbar, K. (2023). On Implementing Cummins Equation to Represent Accurate Wave Radiation Forces in Modelica. Paper presented at 42nd International Conference on Ocean, Offshore & Arctic Engineering (OMAE 2023), Melbourne, Australia. https://doi.org/10.1115/OMAE2023-103996

@conference{Menon-2023-22721,
author = {Menon, A and Haider, A and Bubbar, K},
title = {On Implementing Cummins Equation to Represent Accurate Wave Radiation Forces in Modelica},
year = {2023},
month = {sep},
series = {42nd International Conference on Ocean, Offshore & Arctic Engineering (OMAE 2023)},
pages = {9},
address = {Melbourne, Australia},
publisher = {ASME},
doi = {10.1115/OMAE2023-103996},
url = {https://asmedigitalcollection.asme.org/OMAE/proceedings-abstract/OMAE2023/86908/1167424},
keywords = {Wave, Point Absorber, Modeling, Hydrodynamics},
}

Export Citation to BibTex

TY - CONF
TI - On Implementing Cummins Equation to Represent Accurate Wave Radiation Forces in Modelica
AU - Menon, A
AU - Haider, A
AU - Bubbar, K
T2 - 42nd International Conference on Ocean, Offshore & Arctic Engineering (OMAE 2023)
C1 - Melbourne, Australia
AB - This work explores the development of a Modelica™ compliant Ocean Engineering Toolbox (OET). Focusing on a symbolic solution to the Cummins equation for a floating, heaving body subject to polychromatic wave excitation forces, three formulations of the radiation convolution (symbolic, numerical, and state-space) are investigated and validated using the benchmark WEC-Sim. The presented formulation is tested using the model parameters of the Reference Model-3 (RM3) heaving point absorber Wave Energy Converter (WEC). For a preset excitation force, a 300-second simulation of the OET yields accurate results when compared to WEC-Sim. Computational speed measurements also indicate significant improvements in simulation efficiency compared to solving the radiation convolution integral numerically.
DA - 2023/09//
PY - 2023
SP - 9
PB - ASME
UR - https://asmedigitalcollection.asme.org/OMAE/proceedings-abstract/OMAE2023/86908/1167424
DO - 10.1115/OMAE2023-103996
LA - English
KW - Wave
KW - Point Absorber
KW - Modeling
KW - Hydrodynamics
ER -

Export Citation to RIS

Abstract

This work explores the development of a Modelica™ compliant Ocean Engineering Toolbox (OET). Focusing on a symbolic solution to the Cummins equation for a floating, heaving body subject to polychromatic wave excitation forces, three formulations of the radiation convolution (symbolic, numerical, and state-space) are investigated and validated using the benchmark WEC-Sim. The presented formulation is tested using the model parameters of the Reference Model-3 (RM3) heaving point absorber Wave Energy Converter (WEC). For a preset excitation force, a 300-second simulation of the OET yields accurate results when compared to WEC-Sim. Computational speed measurements also indicate significant improvements in simulation efficiency compared to solving the radiation convolution integral numerically.