Control of the Power Flows of a Stochastic Power System Article Swipe
Zhen Wang
,
Kaihua Xi
,
Aijie Cheng
,
Hai Xiang Lin
,
Jan H. van Schuppen
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2311.16282
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2311.16282
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.
Related Topics
Concepts
Electric power system
Power (physics)
Control theory (sociology)
Node (physics)
Power control
Function (biology)
Computer science
Transient (computer programming)
Stability (learning theory)
State (computer science)
Control (management)
Mathematics
Mathematical optimization
Engineering
Physics
Algorithm
Machine learning
Biology
Artificial intelligence
Structural engineering
Operating system
Evolutionary biology
Quantum mechanics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2311.16282
- https://arxiv.org/pdf/2311.16282
- OA Status
- green
- Cited By
- 2
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4389157408
All OpenAlex metadata
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https://openalex.org/W4389157408Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2311.16282Digital Object Identifier
- Title
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Control of the Power Flows of a Stochastic Power SystemWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-11-27Full publication date if available
- Authors
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Zhen Wang, Kaihua Xi, Aijie Cheng, Hai Xiang Lin, Jan H. van SchuppenList of authors in order
- Landing page
-
https://arxiv.org/abs/2311.16282Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2311.16282Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2311.16282Direct OA link when available
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Electric power system, Power (physics), Control theory (sociology), Node (physics), Power control, Function (biology), Computer science, Transient (computer programming), Stability (learning theory), State (computer science), Control (management), Mathematics, Mathematical optimization, Engineering, Physics, Algorithm, Machine learning, Biology, Artificial intelligence, Structural engineering, Operating system, Evolutionary biology, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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2Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.losing | 88 |
| abstract_inverted_index.motion | 63 |
| abstract_inverted_index.subset | 74 |
| abstract_inverted_index.system | 12, 47, 93 |
| abstract_inverted_index.vector | 4 |
| abstract_inverted_index.network | 39 |
| abstract_inverted_index.results | 102 |
| abstract_inverted_index.$(-π/2, | 78 |
| abstract_inverted_index.+π/2)$, | 80 |
| abstract_inverted_index.Brownian | 62 |
| abstract_inverted_index.academic | 105, 111 |
| abstract_inverted_index.affected | 59 |
| abstract_inverted_index.equation | 54 |
| abstract_inverted_index.examples | 106 |
| abstract_inverted_index.horizon, | 17 |
| abstract_inverted_index.improved | 96 |
| abstract_inverted_index.interval | 77 |
| abstract_inverted_index.modelled | 49 |
| abstract_inverted_index.network, | 112, 116 |
| abstract_inverted_index.network. | 120 |
| abstract_inverted_index.process. | 64 |
| abstract_inverted_index.selected | 70 |
| abstract_inverted_index.supplies | 7 |
| abstract_inverted_index.condition | 85 |
| abstract_inverted_index.determine | 2 |
| abstract_inverted_index.frequency | 57 |
| abstract_inverted_index.including | 107 |
| abstract_inverted_index.numerical | 101 |
| abstract_inverted_index.controlled | 92 |
| abstract_inverted_index.difference | 31 |
| abstract_inverted_index.eight-node | 110 |
| abstract_inverted_index.particular | 109 |
| abstract_inverted_index.stochastic | 10 |
| abstract_inverted_index.sufficient | 84 |
| abstract_inverted_index.performance | 97 |
| abstract_inverted_index.phase-angle | 30 |
| abstract_inverted_index.probability | 21 |
| abstract_inverted_index.twelve-node | 114 |
| abstract_inverted_index.differential | 53 |
| abstract_inverted_index.prespecified | 26 |
| abstract_inverted_index.Manhattan-grid | 119 |
| abstract_inverted_index.synchronization. | 89 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 5 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.6100000143051147 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile |