Rare desynchronization events in power grids: on data implementation and dimensional reductions
We discuss the frequency of desynchronization events in power grids for realistic data input. We focus on the role of time correlations in the fluctuating power production and propose a new method for implementing colored noise that reproduces non-Gaussian data by means of cumulants of data incremen...
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IOP Publishing
2022-01-01
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| Series: | Journal of Physics: Complexity |
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| Online Access: | https://doi.org/10.1088/2632-072X/aca739 |
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| author | Tim Ritmeester Hildegard Meyer-Ortmanns |
| author_facet | Tim Ritmeester Hildegard Meyer-Ortmanns |
| author_sort | Tim Ritmeester |
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| description | We discuss the frequency of desynchronization events in power grids for realistic data input. We focus on the role of time correlations in the fluctuating power production and propose a new method for implementing colored noise that reproduces non-Gaussian data by means of cumulants of data increment distributions. Our desynchronization events are caused by overloads. We extend known and propose different methods of dimensional reduction to considerably reduce the high-dimensional phase space and to predict the rare desynchronization events with reasonable computational costs. The first method splits the system into two areas, connected by heavily loaded lines, and treats each area as a single node. The second method considers a separation of the timescales of power fluctuations and phase angle dynamics and completely disregards the latter. The fact that this separation turns out to be justified, albeit only to exponential accuracy in the strength of fluctuations, means that the number of rare events does not sensitively depend on inertia or damping for realistic heterogeneous parameters and long correlation times. Neither does the number of desynchronization events automatically increase with non-Gaussian fluctuations in the power production as one might have expected. On the other hand, the analytical expressions for the average time to desynchronization depend sensitively on the finite correlation time of the fluctuating power input. |
| format | Article |
| id | doaj-art-27aa604097c34aad9aaf90be66e76c2e |
| institution | Kabale University |
| issn | 2632-072X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics: Complexity |
| spelling | doaj-art-27aa604097c34aad9aaf90be66e76c2e2024-12-11T11:11:52ZengIOP PublishingJournal of Physics: Complexity2632-072X2022-01-013404501010.1088/2632-072X/aca739Rare desynchronization events in power grids: on data implementation and dimensional reductionsTim Ritmeester0Hildegard Meyer-Ortmanns1https://orcid.org/0000-0001-9882-6529School of Science, Jacobs University Bremen , Campus Ring 1, 28759 Bremen, GermanySchool of Science, Jacobs University Bremen , Campus Ring 1, 28759 Bremen, GermanyWe discuss the frequency of desynchronization events in power grids for realistic data input. We focus on the role of time correlations in the fluctuating power production and propose a new method for implementing colored noise that reproduces non-Gaussian data by means of cumulants of data increment distributions. Our desynchronization events are caused by overloads. We extend known and propose different methods of dimensional reduction to considerably reduce the high-dimensional phase space and to predict the rare desynchronization events with reasonable computational costs. The first method splits the system into two areas, connected by heavily loaded lines, and treats each area as a single node. The second method considers a separation of the timescales of power fluctuations and phase angle dynamics and completely disregards the latter. The fact that this separation turns out to be justified, albeit only to exponential accuracy in the strength of fluctuations, means that the number of rare events does not sensitively depend on inertia or damping for realistic heterogeneous parameters and long correlation times. Neither does the number of desynchronization events automatically increase with non-Gaussian fluctuations in the power production as one might have expected. On the other hand, the analytical expressions for the average time to desynchronization depend sensitively on the finite correlation time of the fluctuating power input.https://doi.org/10.1088/2632-072X/aca739power gridblackoutsdesynchronizationcolored noiseWKB-approachdimensional reduction |
| spellingShingle | Tim Ritmeester Hildegard Meyer-Ortmanns Rare desynchronization events in power grids: on data implementation and dimensional reductions Journal of Physics: Complexity power grid blackouts desynchronization colored noise WKB-approach dimensional reduction |
| title | Rare desynchronization events in power grids: on data implementation and dimensional reductions |
| title_full | Rare desynchronization events in power grids: on data implementation and dimensional reductions |
| title_fullStr | Rare desynchronization events in power grids: on data implementation and dimensional reductions |
| title_full_unstemmed | Rare desynchronization events in power grids: on data implementation and dimensional reductions |
| title_short | Rare desynchronization events in power grids: on data implementation and dimensional reductions |
| title_sort | rare desynchronization events in power grids on data implementation and dimensional reductions |
| topic | power grid blackouts desynchronization colored noise WKB-approach dimensional reduction |
| url | https://doi.org/10.1088/2632-072X/aca739 |
| work_keys_str_mv | AT timritmeester raredesynchronizationeventsinpowergridsondataimplementationanddimensionalreductions AT hildegardmeyerortmanns raredesynchronizationeventsinpowergridsondataimplementationanddimensionalreductions |