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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.

References

[1] Chen Xinhui, He Hongzhou, Sun Pengyuan. Design and optimization of twin-screw in-rotor wave energy generation device[J]. Journal of Guangzhou Maritime Academy, 2022, 30(03):45-51. 

[2] Xu Lei, Deng Shengzhong, Xiong Bikang, Chen Qichuan. Research on hydrodynamic performance of active resonant buoyant pendulum wave energy generation device[J]. Journal of Marine Technology, 2022, 41(03):90-96. 

[3] Hainan Xia, Xiangnan Wang, Qiang Li, Ning Jia, Hao Chang, Zhikun Zhao. Analysis of wave parameters in field testing of wave energy generation devices [J]. Journal of Solar Energy, 2022, 43(06):251-255. DOI:10. 19912/j. 0254-0096. tynxb. 2021-1081. 

[4] Ji Xianzhang, Duan Yuanyi, Liu Jiabo. Design of floating wave energy generation device based on cantilever structure [J]. Science and Technology Innovation and Productivity, 2022(06):116-119. 

[5] Zhao JF, Huang Xiaoyun, Chen L. Wave energy generation technology and research status [J]. Hunan Water Conservancy and Hydropower, 2022(03):7-11. DOI:10. 16052/j. cnki. hnslsd. 2022. 03. 030. 

[6] Xue Gang, Liu Yanjun, Xue Yifan, Liu Dahui. Dynamics of built-in eccentric rotor type wave energy generation device[J]. Journal of Tianjin University (Natural Science and Engineering Technology Edition), 2022, 55(02):191-198. 

[7] Wang Denshai, Liu Yanjun, Wang Yuanzhi, Fang Zhijie. Energy capture characteristics of micro-array wave energy generation device [J]. Journal of Shandong University (Engineering Edition), 2021, 51(06):17-25. 

[8] Meng Zhongliang. Research on the mechanism of broadband energy capture in horizontal rotor wave energy generation device [D]. Shandong University, 2021. DOI:10. 27272/d. cnki. gshdu. 2021. 000649. 

[9] Liu Yanjun, Wang Wei, Chen Zhi, Wang Donghai, Wang Dengshuai, Xue Gang. Effect of wave energy generation device floating body shape parameters on energy capture performance [J]. Journal of Shandong University (Engineering Edition), 2020, 50(06):1-8+16. 

[10] Tang Zecheng. Research and optimization of hydrodynamic performance of point absorption wave energy generation device [D]. Zhejiang University, 2019. DOI:10. 27461/d. cnki. gzjdx. 2019. 000282.