Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge
In this paper, the Greitzer surge model was systematically analysed with the model compressor duct length L<sub>c</sub> as the tuning parameter. The surge phenomenon is known to induce a serious risk to centrifugal compressor operation. The two-dimensional Greitzer model is a well-establ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/13/22/6072 |
| _version_ | 1827701870709178368 |
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| author | Filip Grapow Grzegorz Liśkiewicz |
| author_facet | Filip Grapow Grzegorz Liśkiewicz |
| author_sort | Filip Grapow |
| collection | DOAJ |
| description | In this paper, the Greitzer surge model was systematically analysed with the model compressor duct length L<sub>c</sub> as the tuning parameter. The surge phenomenon is known to induce a serious risk to centrifugal compressor operation. The two-dimensional Greitzer model is a well-established way of modelling this dangerous instability, but the determination and changes of the model parameters are still being discussed. In this paper an automated procedure determines the L<sub>c</sub> value providing the best fit with the experimental data has been presented. The algorithm was tested on five valve positions and revealed that the best fit was obtained for different L<sub>c</sub> values following a linear trend against the mass flow rate. The study has also shown that the Greitzer model has two solutions for a given pressure oscillation amplitude: one similar to the deep surge (low L<sub>c</sub>) and one similar to the mild surge (low L<sub>c</sub>). This suggests that this model can be used to simulate both types of the phenomenon known from the experimental analyses. The study proposes the dimensionless average pressure as the parameter allowing to distinguish which surge cycle was observed at a given instance. Past papers were analysed to observe the surge type that appeared in different experiments. It was found that most researchers obtained low L<sub>c</sub> surge. The results show that both deep and mild surge could be simulated with the Greitzer model. It also revealed that the L<sub>c</sub> should not be treated as a constant value for a given machine and that it changes with the mass flow rate. |
| first_indexed | 2024-03-10T14:43:28Z |
| format | Article |
| id | doaj.art-fcf28a4ee3374b9ca7adf733eea313bf |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T14:43:28Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-fcf28a4ee3374b9ca7adf733eea313bf2023-11-20T21:38:50ZengMDPI AGEnergies1996-10732020-11-011322607210.3390/en13226072Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of SurgeFilip Grapow0Grzegorz Liśkiewicz1Institute of Turbomachinery, Faculty of Mechanical Engineering, Łódź University of Technology, ul. Wólczańska 219/223, 90-924 Łódź, PolandInstitute of Turbomachinery, Faculty of Mechanical Engineering, Łódź University of Technology, ul. Wólczańska 219/223, 90-924 Łódź, PolandIn this paper, the Greitzer surge model was systematically analysed with the model compressor duct length L<sub>c</sub> as the tuning parameter. The surge phenomenon is known to induce a serious risk to centrifugal compressor operation. The two-dimensional Greitzer model is a well-established way of modelling this dangerous instability, but the determination and changes of the model parameters are still being discussed. In this paper an automated procedure determines the L<sub>c</sub> value providing the best fit with the experimental data has been presented. The algorithm was tested on five valve positions and revealed that the best fit was obtained for different L<sub>c</sub> values following a linear trend against the mass flow rate. The study has also shown that the Greitzer model has two solutions for a given pressure oscillation amplitude: one similar to the deep surge (low L<sub>c</sub>) and one similar to the mild surge (low L<sub>c</sub>). This suggests that this model can be used to simulate both types of the phenomenon known from the experimental analyses. The study proposes the dimensionless average pressure as the parameter allowing to distinguish which surge cycle was observed at a given instance. Past papers were analysed to observe the surge type that appeared in different experiments. It was found that most researchers obtained low L<sub>c</sub> surge. The results show that both deep and mild surge could be simulated with the Greitzer model. It also revealed that the L<sub>c</sub> should not be treated as a constant value for a given machine and that it changes with the mass flow rate.https://www.mdpi.com/1996-1073/13/22/6072Greitzer modelcentrifugal compressorradial compressorsurgeflow instabilitycompressor modelling |
| spellingShingle | Filip Grapow Grzegorz Liśkiewicz Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge Energies Greitzer model centrifugal compressor radial compressor surge flow instability compressor modelling |
| title | Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge |
| title_full | Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge |
| title_fullStr | Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge |
| title_full_unstemmed | Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge |
| title_short | Study of the Greitzer Model for Centrifugal Compressors: Variable L<sub>c</sub> Parameter and Two Types of Surge |
| title_sort | study of the greitzer model for centrifugal compressors variable l sub c sub parameter and two types of surge |
| topic | Greitzer model centrifugal compressor radial compressor surge flow instability compressor modelling |
| url | https://www.mdpi.com/1996-1073/13/22/6072 |
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