Modeling and Parameter Analysis of the OC3-Hywind Floating Wind Turbine with a Tuned Mass Damper in Nacelle

Table 2

Term descriptions in the model of OC3-Hywind surge-heave-pitch motion.

Terms	Descriptions
sg	DOF of platform surge motion
hv	DOF of platform have motion
𝑝	DOF of platform pitch motion
tmd	DOF of TMD motion
𝑡	DOF of tower fore-aft bending
𝜃𝑖	Rotation angle of DOF 𝑖
𝑥𝑖	Displacement of DOF 𝑖
𝑀^𝑗𝑖	Generalized mass for DOF 𝑖 with regard to DOF 𝑗
𝐼^𝑗𝑖	Generalized inertia tensor for DOF 𝑖 with regard to DOF 𝑗
𝐹^𝑗𝑖	Generalized force for DOF 𝑖 due to effect or DOF 𝑗
𝜏^𝑗𝑖	Generalized torque for DOF 𝑖 due to effect or DOF 𝑗
gr	Gravitational effect
hdr	Hydro effect
ctr	Centripetal effect
moor	Mooring lines effect
spr.damp	Spring and damping effect of TMD
𝐴^𝑗𝑖	Generalized added mass for DOF 𝑖 with regard to DOF 𝑗
𝐽^𝑋𝑢	Inertia tensor for 𝑢 with regard to point 𝑋
𝐿𝑢	Length of part 𝑢
𝑚𝑢	Mass of part 𝑢
ptfm	Platform
twr	Tower
rna	Rotor nacelle assembly (RNA)
𝑑	Misalignment between RNA mass center and tower centerline
jot	Joint between platform and tower
𝐷^𝑗𝑖	Equivalent damping coefficient for DOF 𝑖 with regard to DOF 𝑗
𝐾^𝑗𝑖	Equivalent spring coefficient for DOF 𝑖 with regard to DOF 𝑗
𝑔	Gravitational acceleration
CB	Center of buoyancy
CG𝑢	Gravity center of part 𝑢