The power take-off (PTO) damping mechanism is very important to the motion
and power conversion for the wave energy converters. Based upon the
potential flow theory, the series expression with unknown Fourier
coefficients of velocity potential function of the basin where the
cylindrical floating buoy is located is obtained by using the eigenfunction
expansion method. According to the characteristics of the PTO damper, the
motion and wave energy conversion characteristics of the float under the
linear and non-linear PTO damping are studied, respectively, and the
over-damping problem under the linear PTO damping is emphatically explored.
The results show that the influence of PTO system with low velocity index on
the motion of the device is mainly reflected in the PTO damping coefficient.
With the increase of damping coefficient, the resonance frequency of the
wave energy device decreases gradually, but the decrease amplitude is very
small. The non-linear characteristics of PTO system cannot change the
optimal capture width ratio of the float, but the large velocity index can
effectively improve the damping capacity of PTO system. At lower and higher
frequencies, the optimal PTO damping obtained by the analytic algorithm will
make the device in an over-damped state. The highest frequency in the low
frequency part and the lowest frequency in the high frequency part which
need to be modified will gradually decrease with the increase of radius and
draught.