PaToPaEM: A Data-Driven Parameter and Topology Joint Estimation Framework for Time Varying System in Distribution Grids Article Swipe
Jiafan Yu
,
Yang Weng
,
Ram Rajagopal
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1812.06619
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1812.06619
Grid topology and line parameters are essential for grid operation and planning, which may be missing or inaccurate in distribution grids. Existing data-driven approaches for recovering such information usually suffer from ignoring 1) input measurement errors and 2) possible state changes among historical measurements. While using the errors-in-variables (EIV) model and letting the parameter and topology estimation interact with each other (PaToPa) can address input and output measurement error modeling, it only works when all measurements are from a single system state. To solve the two challenges simultaneously, we propose the PaToPaEM framework for joint line parameter and topology estimation with historical measurements from different unknown states. We improve the static framework that only works when measurements are from one single state, by further treating state changes in historical measurements as an unobserved latent variable. We then systematically analyze the new mathematical modeling, decouple the optimization problem, and incorporate the expectation-maximization (EM) algorithm to recover different hidden states in measurements. Combining these, PaToPaEM framework enables joint topology and line parameter estimation using noisy measurements from multiple system states. It lays a solid foundation for data-driven system identification in distribution grids. Superior numerical results validate the practicability of the PaToPaEM framework.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1812.06619
- https://arxiv.org/pdf/1812.06619
- OA Status
- green
- References
- 24
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2950441013
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2950441013Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1812.06619Digital Object Identifier
- Title
-
PaToPaEM: A Data-Driven Parameter and Topology Joint Estimation Framework for Time Varying System in Distribution GridsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2018Year of publication
- Publication date
-
2018-12-17Full publication date if available
- Authors
-
Jiafan Yu, Yang Weng, Ram RajagopalList of authors in order
- Landing page
-
https://arxiv.org/abs/1812.06619Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/1812.06619Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/1812.06619Direct OA link when available
- Concepts
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Computer science, Grid, Topology (electrical circuits), Maximization, Line (geometry), Estimation theory, Joint probability distribution, Identification (biology), Mathematical optimization, Algorithm, Mathematics, Geometry, Biology, Combinatorics, Botany, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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24Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.other | 60 |
| abstract_inverted_index.solid | 181 |
| abstract_inverted_index.solve | 83 |
| abstract_inverted_index.state | 39, 125 |
| abstract_inverted_index.using | 45, 171 |
| abstract_inverted_index.which | 12 |
| abstract_inverted_index.works | 72, 114 |
| abstract_inverted_index.errors | 35 |
| abstract_inverted_index.grids. | 20, 189 |
| abstract_inverted_index.hidden | 156 |
| abstract_inverted_index.latent | 133 |
| abstract_inverted_index.output | 66 |
| abstract_inverted_index.single | 79, 120 |
| abstract_inverted_index.state, | 121 |
| abstract_inverted_index.state. | 81 |
| abstract_inverted_index.states | 157 |
| abstract_inverted_index.static | 110 |
| abstract_inverted_index.suffer | 29 |
| abstract_inverted_index.system | 80, 176, 185 |
| abstract_inverted_index.these, | 161 |
| abstract_inverted_index.address | 63 |
| abstract_inverted_index.analyze | 138 |
| abstract_inverted_index.changes | 40, 126 |
| abstract_inverted_index.enables | 164 |
| abstract_inverted_index.further | 123 |
| abstract_inverted_index.improve | 108 |
| abstract_inverted_index.letting | 51 |
| abstract_inverted_index.missing | 15 |
| abstract_inverted_index.propose | 89 |
| abstract_inverted_index.recover | 154 |
| abstract_inverted_index.results | 192 |
| abstract_inverted_index.states. | 106, 177 |
| abstract_inverted_index.unknown | 105 |
| abstract_inverted_index.usually | 28 |
| abstract_inverted_index.(PaToPa) | 61 |
| abstract_inverted_index.Existing | 21 |
| abstract_inverted_index.PaToPaEM | 91, 162, 198 |
| abstract_inverted_index.Superior | 190 |
| abstract_inverted_index.decouple | 143 |
| abstract_inverted_index.ignoring | 31 |
| abstract_inverted_index.interact | 57 |
| abstract_inverted_index.multiple | 175 |
| abstract_inverted_index.possible | 38 |
| abstract_inverted_index.problem, | 146 |
| abstract_inverted_index.topology | 1, 55, 98, 166 |
| abstract_inverted_index.treating | 124 |
| abstract_inverted_index.validate | 193 |
| abstract_inverted_index.Combining | 160 |
| abstract_inverted_index.algorithm | 152 |
| abstract_inverted_index.different | 104, 155 |
| abstract_inverted_index.essential | 6 |
| abstract_inverted_index.framework | 92, 111, 163 |
| abstract_inverted_index.modeling, | 69, 142 |
| abstract_inverted_index.numerical | 191 |
| abstract_inverted_index.operation | 9 |
| abstract_inverted_index.parameter | 53, 96, 169 |
| abstract_inverted_index.planning, | 11 |
| abstract_inverted_index.variable. | 134 |
| abstract_inverted_index.approaches | 23 |
| abstract_inverted_index.challenges | 86 |
| abstract_inverted_index.estimation | 56, 99, 170 |
| abstract_inverted_index.foundation | 182 |
| abstract_inverted_index.framework. | 199 |
| abstract_inverted_index.historical | 42, 101, 128 |
| abstract_inverted_index.inaccurate | 17 |
| abstract_inverted_index.parameters | 4 |
| abstract_inverted_index.recovering | 25 |
| abstract_inverted_index.unobserved | 132 |
| abstract_inverted_index.data-driven | 22, 184 |
| abstract_inverted_index.incorporate | 148 |
| abstract_inverted_index.information | 27 |
| abstract_inverted_index.measurement | 34, 67 |
| abstract_inverted_index.distribution | 19, 188 |
| abstract_inverted_index.mathematical | 141 |
| abstract_inverted_index.measurements | 75, 102, 116, 129, 173 |
| abstract_inverted_index.optimization | 145 |
| abstract_inverted_index.measurements. | 43, 159 |
| abstract_inverted_index.identification | 186 |
| abstract_inverted_index.practicability | 195 |
| abstract_inverted_index.systematically | 137 |
| abstract_inverted_index.simultaneously, | 87 |
| abstract_inverted_index.errors-in-variables | 47 |
| abstract_inverted_index.expectation-maximization | 150 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/11 |
| sustainable_development_goals[0].score | 0.6899999976158142 |
| sustainable_development_goals[0].display_name | Sustainable cities and communities |
| citation_normalized_percentile |