Mathematical Model of a Cogeneration System composed of a Floating Wind Turbine and Two Marine Current Turbines

This paper develops the mathematical model of a cogeneration system composed of a floating wind turbine –type "OC3-Hywind"– and two marine current turbines with the aim of increasing the energy generated by the floating installation and, at the same time, offering the possibility of using those turbines as actuators, being the later useful for the stabilization of the platform in hard weather conditions.The mathematical model for this system has been developed using Matlab. In this tool, several tests have been carried out on the structural stability of the system considering the interactive phase of the acting forces.We have used Matlab to freely design the mechanical system and thus, achieve the desired model, which are a wind turbine type OC3-Hywind and two current turbines.The capacity of Matlab offers the possibility of evaluating the cogeneration system with different geometries, aerodynamic airfoils and external meteorological conditions; and also including or eliminating certain elements, etc. This versatility will be useful in future studies aimed to evaluate this system and maximize the production of energy.In this paper, the first version of the tool is introduced using the "one-dimensional momentum theory" to compute the thrust of the turbines. This theory allows the obtainment of a good approximation to know which will be the behavior that the steady state response system will have. The operational capacity of the tool has been validated by comparing the results with the certificated test of the OC3-Hywind calculated in FAST 8.

[1]  R. Scattolini,et al.  Modeling and control of a floating wind turbine with spar buoy platform , 2012, 2012 IEEE International Energy Conference and Exhibition (ENERGYCON).

[2]  J. Jonkman,et al.  Offshore Code Comparison Collaboration (OC3) for IEA Wind Task 23 Offshore Wind Technology and Deployment , 2010 .

[3]  E. García,et al.  Recursos y sistemas energéticos renovables del entorno marino y sus requerimientos de control , 2016 .

[4]  Jason Jonkman,et al.  Dynamics Modeling and Loads Analysis of an Offshore Floating Wind Turbine , 2007 .

[5]  E. García,et al.  Mechanical Augmentation Channel Design for Turbine Current Generators , 2014 .

[6]  Ye Li,et al.  Development and Verification of a Computational Fluid Dynamics Model of a Horizontal-Axis Tidal Current Turbine , 2011 .

[7]  Jason Jonkman,et al.  Dynamics of offshore floating wind turbines—model development and verification , 2009 .

[8]  Gunjit Bir,et al.  Structural Design of a Horizontal-Axis Tidal Current Turbine Composite Blade , 2011 .

[9]  F. Morant,et al.  Hydro-wind kinetics integrated module for the renewable energy generation , 2012, 2012 Oceans - Yeosu.

[10]  Jason Jonkman,et al.  The effect of second-order hydrodynamics on floating offshore wind turbines , 2013 .

[11]  Jason Jonkman,et al.  Quantitative Comparison of the Responses of Three Floating Platforms , 2010 .

[12]  J. M. Jonkman,et al.  Modeling of the UAE Wind Turbine for Refinement of FAST{_}AD , 2003 .

[13]  Jason Jonkman,et al.  Definition of the Floating System for Phase IV of OC3 , 2010 .

[14]  C. Lindenburg,et al.  Aero-elastic modelling of the DOWEC 6 MW pre-design in PHATAS , 2003 .

[15]  J. Jonkman,et al.  Definition of a 5-MW Reference Wind Turbine for Offshore System Development , 2009 .