Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element
Combining the stochastic averaging method and generalized harmonic function, we propose a procedure to investigate the fractional-order energy harvesting system. First, we can obtain the approximately equivalent system by means of the generalized harmonic transformation; Second, the stochastic avera...
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9047919/ |
| _version_ | 1818444420469489664 |
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| author | Ya-Hui Sun Yong-Ge Yang |
| author_facet | Ya-Hui Sun Yong-Ge Yang |
| author_sort | Ya-Hui Sun |
| collection | DOAJ |
| description | Combining the stochastic averaging method and generalized harmonic function, we propose a procedure to investigate the fractional-order energy harvesting system. First, we can obtain the approximately equivalent system by means of the generalized harmonic transformation; Second, the stochastic averaging method is utilized to get the approximate stationary solutions of the simplified system. Finally, In order to illustrate the accuracy of the developed scheme, two examples are carried out. The results show that the developed procedure has a satisfactory reliability. The influences of the intensity of noise excitation, the fractional order, the fractional coefficient and the nonlinear restoring force on the mean-square voltage (MSV) and mean output power (MOP) are also investigated. |
| first_indexed | 2024-12-14T19:15:39Z |
| format | Article |
| id | doaj.art-7880bd71331e466f9e16c391bdcad665 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T19:15:39Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-7880bd71331e466f9e16c391bdcad6652022-12-21T22:50:37ZengIEEEIEEE Access2169-35362020-01-018598835989010.1109/ACCESS.2020.29835409047919Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative ElementYa-Hui Sun0Yong-Ge Yang1https://orcid.org/0000-0001-7791-583XSchool of Applied Mathematics, Guangdong University of Technology, Guangzhou, ChinaSchool of Applied Mathematics, Guangdong University of Technology, Guangzhou, ChinaCombining the stochastic averaging method and generalized harmonic function, we propose a procedure to investigate the fractional-order energy harvesting system. First, we can obtain the approximately equivalent system by means of the generalized harmonic transformation; Second, the stochastic averaging method is utilized to get the approximate stationary solutions of the simplified system. Finally, In order to illustrate the accuracy of the developed scheme, two examples are carried out. The results show that the developed procedure has a satisfactory reliability. The influences of the intensity of noise excitation, the fractional order, the fractional coefficient and the nonlinear restoring force on the mean-square voltage (MSV) and mean output power (MOP) are also investigated.https://ieeexplore.ieee.org/document/9047919/Energy harvestingfractional calculusGaussian noise |
| spellingShingle | Ya-Hui Sun Yong-Ge Yang Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element IEEE Access Energy harvesting fractional calculus Gaussian noise |
| title | Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element |
| title_full | Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element |
| title_fullStr | Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element |
| title_full_unstemmed | Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element |
| title_short | Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element |
| title_sort | stochastic averaging for the piezoelectric energy harvesting system with fractional derivative element |
| topic | Energy harvesting fractional calculus Gaussian noise |
| url | https://ieeexplore.ieee.org/document/9047919/ |
| work_keys_str_mv | AT yahuisun stochasticaveragingforthepiezoelectricenergyharvestingsystemwithfractionalderivativeelement AT yonggeyang stochasticaveragingforthepiezoelectricenergyharvestingsystemwithfractionalderivativeelement |