The efficient use of energy is a problem that is currently being given general attention. In this paper, the motion of the oscillator and float are analyzed from the perspectives of statics, dynamics, and hydrodynamics, respectively, and the force analysis of the wave energy device is performed to obtain the equations of motion of the oscillator and float. The maximum output power problem of wave energy is discussed using mathematical modelling, mainly using differential equation theory to study the motion of wave energy device floats and oscillators, damping coefficients and output power, and solved using the Runge-Kutta method, and finally obtained that when the scale factor of damping coefficient is 97975 and the power index n is 0.4437, the maximum average output power of 162.2131w exists
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