Stationary statistical properties of nonlinear energy harvesting system under high-pass filter

Abstract

In the present paper, we investigate stationary statistical properties of a nonlinear energy harvesting system under the high-pass filter and give the stationary probability distribution function Pst(x, y) of the nonlinear energy harvesting system. We discuss effects of the system parameters on the probability distribution function Pst(x, y) and the mean of the square of the output electrical voltage 〈V2〉 of the nonlinear energy harvesting system under the high-pass filter. When the exponent of the potential function variable is odd numbers, the probability distribution function Pst(x, y) is insignificant. When the exponent of the potential function variable is even numbers, the probability distribution Pst(x, y) shows two-maximum structure, and the peak value of the probability distribution decreases as the even exponent increases. The noise strength attenuates the peak value of the probability distribution Pst(x, y), which reduces the stability of the system output. The noise strength makes the mean of the square of the output electrical voltage 〈V2〉 exhibit one-minimum structure, which is ant-coherence resonance induced by noise. The mean of the square the output voltage 〈V2〉 decreases as the even exponent increases.