Control of the Power Flows of a Stochastic Power System
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909252736516096 |
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| author | Wang, Zhen Xi, Kaihua Cheng, Aijie Lin, Hai Xiang van Schuppen, Jan H. |
| author_facet | Wang, Zhen Xi, Kaihua Cheng, Aijie Lin, Hai Xiang van Schuppen, Jan H. |
| contents | How to determine the vector of power supplies of a stochastic power system for the next short horizon, such that the probability is less than a prespecified value that any phase-angle difference of a power line of the power network exits from a safe set? The power system is modelled such that the differential equation of each frequency is affected by a Brownian motion process. A safe set can be selected to be any subset of the interval $(-π/2, ~ +π/2)$, which is a sufficient condition for not losing synchronization. That the controlled system has an improved performance is shown by numerical results of three academic examples including a particular eight-node academic network, a twelve-node ring network, and a Manhattan-grid network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16282 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Control of the Power Flows of a Stochastic Power System Wang, Zhen Xi, Kaihua Cheng, Aijie Lin, Hai Xiang van Schuppen, Jan H. Systems and Control How to determine the vector of power supplies of a stochastic power system for the next short horizon, such that the probability is less than a prespecified value that any phase-angle difference of a power line of the power network exits from a safe set? The power system is modelled such that the differential equation of each frequency is affected by a Brownian motion process. A safe set can be selected to be any subset of the interval $(-π/2, ~ +π/2)$, which is a sufficient condition for not losing synchronization. That the controlled system has an improved performance is shown by numerical results of three academic examples including a particular eight-node academic network, a twelve-node ring network, and a Manhattan-grid network. |
| title | Control of the Power Flows of a Stochastic Power System |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2311.16282 |