A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads
Wind turbines (WTs) are exposed to a dynamic/cyclic load environment, and are subjected to 1P/3P loads under operational conditions. Recent studies introduced the Sommerfeld Effect to explain the dynamic response amplification induced by 1P/3P loads. This study establishes a theoretical model to ana...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/15/16/5787 |
| _version_ | 1797410571010703360 |
|---|---|
| author | Jijian Lian Huan Zhou Xiaofeng Dong |
| author_facet | Jijian Lian Huan Zhou Xiaofeng Dong |
| author_sort | Jijian Lian |
| collection | DOAJ |
| description | Wind turbines (WTs) are exposed to a dynamic/cyclic load environment, and are subjected to 1P/3P loads under operational conditions. Recent studies introduced the Sommerfeld Effect to explain the dynamic response amplification induced by 1P/3P loads. This study establishes a theoretical model to analyze the resonance of WTs under 1P/3P loads. Sensitiveness analysis was conducted for parameters <i>b</i>, <i>c</i>, <i>S</i>, <i>F</i>, and <i>T</i> to explore their influence on the dynamic response. The resonance phenomenon induced by 1P/3P frequency passing the natural frequency is discussed. The results show that there is no Sommerfeld Effect in soft–stiff WTs. Only if the imbalance reaches a much higher value (19200 kg·m in this study) should the Sommerfeld Effect be considered for soft WTs; otherwise, it can be ignored. The 3P resonance appeared when the 3P frequency approached the natural frequency, but it was not the Sommerfeld Effect. |
| first_indexed | 2024-03-09T04:32:07Z |
| format | Article |
| id | doaj.art-91eebaf008384c2dbecd83844f11416c |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T04:32:07Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-91eebaf008384c2dbecd83844f11416c2023-12-03T13:34:55ZengMDPI AGEnergies1996-10732022-08-011516578710.3390/en15165787A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P LoadsJijian Lian0Huan Zhou1Xiaofeng Dong2State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, ChinaState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, ChinaState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, ChinaWind turbines (WTs) are exposed to a dynamic/cyclic load environment, and are subjected to 1P/3P loads under operational conditions. Recent studies introduced the Sommerfeld Effect to explain the dynamic response amplification induced by 1P/3P loads. This study establishes a theoretical model to analyze the resonance of WTs under 1P/3P loads. Sensitiveness analysis was conducted for parameters <i>b</i>, <i>c</i>, <i>S</i>, <i>F</i>, and <i>T</i> to explore their influence on the dynamic response. The resonance phenomenon induced by 1P/3P frequency passing the natural frequency is discussed. The results show that there is no Sommerfeld Effect in soft–stiff WTs. Only if the imbalance reaches a much higher value (19200 kg·m in this study) should the Sommerfeld Effect be considered for soft WTs; otherwise, it can be ignored. The 3P resonance appeared when the 3P frequency approached the natural frequency, but it was not the Sommerfeld Effect.https://www.mdpi.com/1996-1073/15/16/5787resonance1P/3P loadsimbalance massthe Sommerfeld Effect3P resonancerotational frequency |
| spellingShingle | Jijian Lian Huan Zhou Xiaofeng Dong A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads Energies resonance 1P/3P loads imbalance mass the Sommerfeld Effect 3P resonance rotational frequency |
| title | A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads |
| title_full | A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads |
| title_fullStr | A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads |
| title_full_unstemmed | A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads |
| title_short | A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads |
| title_sort | theoretical approach for resonance analysis of wind turbines under 1p 3p loads |
| topic | resonance 1P/3P loads imbalance mass the Sommerfeld Effect 3P resonance rotational frequency |
| url | https://www.mdpi.com/1996-1073/15/16/5787 |
| work_keys_str_mv | AT jijianlian atheoreticalapproachforresonanceanalysisofwindturbinesunder1p3ploads AT huanzhou atheoreticalapproachforresonanceanalysisofwindturbinesunder1p3ploads AT xiaofengdong atheoreticalapproachforresonanceanalysisofwindturbinesunder1p3ploads AT jijianlian theoreticalapproachforresonanceanalysisofwindturbinesunder1p3ploads AT huanzhou theoreticalapproachforresonanceanalysisofwindturbinesunder1p3ploads AT xiaofengdong theoreticalapproachforresonanceanalysisofwindturbinesunder1p3ploads |