Synchronization dynamics on the EU and US power grids Article Swipe
Géza Ódor
,
Shengfeng Deng
,
B. Hartmann
,
Jeffrey Kelling
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2205.13472
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2205.13472
Dynamical simulation of the cascade failures on the EU and USA high-voltage power grids has been done via solving the second-order Kuramoto equation. We show that synchronization transition happens by increasing the global coupling parameter $K$ with metasatble states depending on the initial conditions so that hysteresis loops occur. We provide analytic results for the time dependence of frequency spread in the large $K$ approximation and by comparing it with numerics of $d=2,3$ lattices, we find agreement in the case of ordered initial conditions. However, different power-law (PL) tails occur, when the fluctuations are strong. After thermalizing the systems we allow a single line cut failure and follow the subsequent overloads with respect to threshold values $T$. The PDFs $p(N_f)$ of the cascade failures exhibit PL tails near the synchronization transition point $K_c$. Near $K_c$ the exponents of the PL-s for the US power grid vary with $T$ as $1.4 \le τ\le 2.1$, in agreement with the empirical blackout statistics, while on the EU power grid we find somewhat steeper PL-s characterized by $1.4 \le τ\le 2.4$. Below $K_c$ we find signatures of $T$-dependent PL-s, caused by frustrated synchronization, reminiscent of Griffiths effects. Here we also observe stability growth following the blackout cascades, similar to intentional islanding, but for $K > K_c$ this does not happen. For $T < T_c$, bumps appear in the PDFs with large mean values, known as "dragon king" blackout events. We also analyze the delaying/stabilizing effects of instantaneous feedback or increased dissipation and show how local synchronization behaves on geographic maps.
Related Topics
Concepts
Blackout
Islanding
Physics
Statistical physics
Cascade
Synchronization (alternating current)
Transition point
Power law
Stability (learning theory)
Coupling (piping)
Power (physics)
Mathematics
Topology (electrical circuits)
Quantum mechanics
Computer science
Combinatorics
Statistics
Electric power system
Materials science
Thermodynamics
Chromatography
Machine learning
Chemistry
Metallurgy
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.48550/arxiv.2205.13472
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4282008160
All OpenAlex metadata
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https://openalex.org/W4282008160Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2205.13472Digital Object Identifier
- Title
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Synchronization dynamics on the EU and US power gridsWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-05-26Full publication date if available
- Authors
-
Géza Ódor, Shengfeng Deng, B. Hartmann, Jeffrey KellingList of authors in order
- Landing page
-
https://doi.org/10.48550/arxiv.2205.13472Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://doi.org/10.48550/arxiv.2205.13472Direct OA link when available
- Concepts
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Blackout, Islanding, Physics, Statistical physics, Cascade, Synchronization (alternating current), Transition point, Power law, Stability (learning theory), Coupling (piping), Power (physics), Mathematics, Topology (electrical circuits), Quantum mechanics, Computer science, Combinatorics, Statistics, Electric power system, Materials science, Thermodynamics, Chromatography, Machine learning, Chemistry, MetallurgyTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.Near | 133 |
| abstract_inverted_index.PDFs | 118, 224 |
| abstract_inverted_index.PL-s | 139, 170 |
| abstract_inverted_index.also | 195, 236 |
| abstract_inverted_index.been | 15 |
| abstract_inverted_index.case | 79 |
| abstract_inverted_index.does | 213 |
| abstract_inverted_index.done | 16 |
| abstract_inverted_index.find | 75, 167, 180 |
| abstract_inverted_index.grid | 144, 165 |
| abstract_inverted_index.line | 103 |
| abstract_inverted_index.mean | 227 |
| abstract_inverted_index.near | 127 |
| abstract_inverted_index.show | 24, 248 |
| abstract_inverted_index.that | 25, 45 |
| abstract_inverted_index.this | 212 |
| abstract_inverted_index.time | 55 |
| abstract_inverted_index.vary | 145 |
| abstract_inverted_index.when | 90 |
| abstract_inverted_index.with | 36, 69, 111, 146, 155, 225 |
| abstract_inverted_index.$K_c$ | 134, 178 |
| abstract_inverted_index.2.1$, | 152 |
| abstract_inverted_index.2.4$. | 176 |
| abstract_inverted_index.After | 95 |
| abstract_inverted_index.Below | 177 |
| abstract_inverted_index.PL-s, | 184 |
| abstract_inverted_index.T_c$, | 219 |
| abstract_inverted_index.allow | 100 |
| abstract_inverted_index.bumps | 220 |
| abstract_inverted_index.grids | 13 |
| abstract_inverted_index.king" | 232 |
| abstract_inverted_index.known | 229 |
| abstract_inverted_index.large | 62, 226 |
| abstract_inverted_index.local | 250 |
| abstract_inverted_index.loops | 47 |
| abstract_inverted_index.maps. | 255 |
| abstract_inverted_index.point | 131 |
| abstract_inverted_index.power | 12, 143, 164 |
| abstract_inverted_index.tails | 88, 126 |
| abstract_inverted_index.while | 160 |
| abstract_inverted_index.τ\le | 151, 175 |
| abstract_inverted_index.$K_c$. | 132 |
| abstract_inverted_index.appear | 221 |
| abstract_inverted_index.caused | 185 |
| abstract_inverted_index.follow | 107 |
| abstract_inverted_index.global | 32 |
| abstract_inverted_index.growth | 198 |
| abstract_inverted_index.occur, | 89 |
| abstract_inverted_index.occur. | 48 |
| abstract_inverted_index.single | 102 |
| abstract_inverted_index.spread | 59 |
| abstract_inverted_index.states | 38 |
| abstract_inverted_index.values | 115 |
| abstract_inverted_index."dragon | 231 |
| abstract_inverted_index.$d=2,3$ | 72 |
| abstract_inverted_index.analyze | 237 |
| abstract_inverted_index.behaves | 252 |
| abstract_inverted_index.cascade | 4, 122 |
| abstract_inverted_index.effects | 240 |
| abstract_inverted_index.events. | 234 |
| abstract_inverted_index.exhibit | 124 |
| abstract_inverted_index.failure | 105 |
| abstract_inverted_index.happen. | 215 |
| abstract_inverted_index.happens | 28 |
| abstract_inverted_index.initial | 42, 82 |
| abstract_inverted_index.observe | 196 |
| abstract_inverted_index.ordered | 81 |
| abstract_inverted_index.provide | 50 |
| abstract_inverted_index.respect | 112 |
| abstract_inverted_index.results | 52 |
| abstract_inverted_index.similar | 203 |
| abstract_inverted_index.solving | 18 |
| abstract_inverted_index.steeper | 169 |
| abstract_inverted_index.strong. | 94 |
| abstract_inverted_index.systems | 98 |
| abstract_inverted_index.values, | 228 |
| abstract_inverted_index.$p(N_f)$ | 119 |
| abstract_inverted_index.However, | 84 |
| abstract_inverted_index.Kuramoto | 21 |
| abstract_inverted_index.analytic | 51 |
| abstract_inverted_index.blackout | 158, 201, 233 |
| abstract_inverted_index.coupling | 33 |
| abstract_inverted_index.effects. | 192 |
| abstract_inverted_index.failures | 5, 123 |
| abstract_inverted_index.feedback | 243 |
| abstract_inverted_index.numerics | 70 |
| abstract_inverted_index.somewhat | 168 |
| abstract_inverted_index.Dynamical | 0 |
| abstract_inverted_index.Griffiths | 191 |
| abstract_inverted_index.agreement | 76, 154 |
| abstract_inverted_index.cascades, | 202 |
| abstract_inverted_index.comparing | 67 |
| abstract_inverted_index.depending | 39 |
| abstract_inverted_index.different | 85 |
| abstract_inverted_index.empirical | 157 |
| abstract_inverted_index.equation. | 22 |
| abstract_inverted_index.exponents | 136 |
| abstract_inverted_index.following | 199 |
| abstract_inverted_index.frequency | 58 |
| abstract_inverted_index.increased | 245 |
| abstract_inverted_index.lattices, | 73 |
| abstract_inverted_index.overloads | 110 |
| abstract_inverted_index.parameter | 34 |
| abstract_inverted_index.power-law | 86 |
| abstract_inverted_index.stability | 197 |
| abstract_inverted_index.threshold | 114 |
| abstract_inverted_index.conditions | 43 |
| abstract_inverted_index.dependence | 56 |
| abstract_inverted_index.frustrated | 187 |
| abstract_inverted_index.geographic | 254 |
| abstract_inverted_index.hysteresis | 46 |
| abstract_inverted_index.increasing | 30 |
| abstract_inverted_index.islanding, | 206 |
| abstract_inverted_index.metasatble | 37 |
| abstract_inverted_index.signatures | 181 |
| abstract_inverted_index.simulation | 1 |
| abstract_inverted_index.subsequent | 109 |
| abstract_inverted_index.transition | 27, 130 |
| abstract_inverted_index.conditions. | 83 |
| abstract_inverted_index.dissipation | 246 |
| abstract_inverted_index.intentional | 205 |
| abstract_inverted_index.reminiscent | 189 |
| abstract_inverted_index.statistics, | 159 |
| abstract_inverted_index.fluctuations | 92 |
| abstract_inverted_index.high-voltage | 11 |
| abstract_inverted_index.second-order | 20 |
| abstract_inverted_index.thermalizing | 96 |
| abstract_inverted_index.$T$-dependent | 183 |
| abstract_inverted_index.approximation | 64 |
| abstract_inverted_index.characterized | 171 |
| abstract_inverted_index.instantaneous | 242 |
| abstract_inverted_index.synchronization | 26, 129, 251 |
| abstract_inverted_index.synchronization, | 188 |
| abstract_inverted_index.delaying/stabilizing | 239 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.2401571 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |