Academic Journal of Mathematical Sciences, 2023, 4(1); doi: 10.25236/AJMS.2023.040104.

## Study of optimal damping coefficients for devices based on a single-objective optimization model—Considering two types of damping coefficients

Author(s)

Yihang Li

Corresponding Author:
Yihang Li
Affiliation(s)

Changwang School of Honors, Nanjing University of Information Science & Technology, Nanjing, China, 210044

### Abstract

Wave energy is an important marine renewable energy source, and one of the key issues in its utilization is to improve the energy conversion of wave energy devices efficiency. In this paper, we consider the pendulum motion of the float in the wave, firstly, we establish the coordinate system for the float system and analyze the forces on the float and the oscillator, establish the initial value system model of the second-order coupled ordinary differential equation system about the displacement function of the float and the oscillator, and then calculate the displacement and velocity of the float and the oscillator under the constant damping coefficient by reducing the order and finite difference. Finally, a single-objective optimization model with the output power of the PTO system as the objective function is established, and the damping coefficients in the cases of constant damping coefficient and variable damping coefficient are found out respectively, so as to maximize the power.

### Keywords

Mechanical analysis, finite differences, coupled systems of ordinary differential equations, wave energy devices

### Cite This Paper

Yihang Li. Study of optimal damping coefficients for devices based on a single-objective optimization model—Considering two types of damping coefficients. Academic Journal of Mathematical Sciences (2023) Vol. 4, Issue 1: 19-26. https://doi.org/10.25236/AJMS.2023.040104.

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