The Nonlinear Dynamical Analysis Of A Wave Genrator

More and more people put their attention on the wave anergy which is regardedas a renewable energy. Use the nonlinear system, the wave energy harness deviceswill resist the desturb of the random wave and realise stable and efficient powergeneretion.Considering the SD oscillator and the fundamental principle of wave energyharness, this paper presents a new type of oscillating wave energy harness devicemodel. This device consist of a spring oscillating system and a circuit system. Thetwo part coupled with the movement in the magnetic field of the coil. The springoscillating system is a nonlinear system with strong nonlinear properties. And thecircuits system is a second order linear oscillating circuit. In this paper, thenonlinear dynamic characters of the wave energy haness device is discussed, and thepossibility of the system generate electricity smoothly is estimated. This parper isorganized as following:The model of the wave energy harness device is introduced, and discribed theprinciple of generate electricity. Suppose the model of wave is sine function. Finallyestablished the system’s equation.The spring oscillating system is separate analysis. According the dynamicequation, qalitative analysis is proceed. Under the condition of different paramenters,the changes of the system’s equilibrium is got. And analysis the restoring force,potention energy, phase diagram of the system. Use the software MATLAB, thenumerical simulation has carried out for the system. And got the existence conditionof the periodic solution while the paramenters is changed.Applying the method of average, the amplitude-frequency relations of thecoupling system under primary resonance condition is obtained. According to thechanges of the amplitude-frequency characteristic curve while the paramenterschanges, the system paramenters on the influence of the steady-state response isdiscussed. Through the stability analysis, the system may have unstable periodicresponse. While the system’s working frequency is located in the upper of theamlitude-frequency characteristic curve, the system is working on the large periodicorbits. from the result of the numerical simulation, the system has large amplitudeperiodic response in the certain paramenter conditions.