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Risk of Phase Incoherence in Wide Area Control of Synchronous Power Networks

Systems and Control · Submitted 29 Dec 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that in the presence of time-delay and noise, a fundamental trade-off between the best achievable performance (via tuning feedback gains) and value-at-risk emerges.

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arXiv ID2112.14675 (version 1)
Pith IDDBEXRB5U, Pith's permanent record of this paper and its review
CitationChristoforos Somarakis, Guangyi Liu, Nader Motee. "Risk of Phase Incoherence in Wide Area Control of Synchronous Power Networks." arXiv:2112.14675 (2021). https://pith.science/paper/DBEXRB5U
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,290 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.39 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.07 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We develop a framework to quantify systemic risk measures in a class of Wide-Area-Control (WAC) laws in power networks in the presence of noisy and time-delayed sensory data. A closed-form calculation of the risk of phase incoherence in interconnected power networks is presented, and the effect of network parameters, information flow in WAC architecture, statistics of noise, and time-delays are characterized. We show that in the presence of time-delay and noise, a fundamental trade-off between the best achievable performance (via tuning feedback gains) and value-at-risk emerges. The significance of our results is that they provide a guideline for developing algorithmic design tools to enhance the coherency and robustness of closed-loop power networks simultaneously. Finally, we validate our theoretical findings through extensive simulation examples.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We develop a framework to quantify systemic risk measures in a class of Wide-Area-Control (WAC) laws in power networks in the presence of noisy and time-delayed sensory data. contribution 0.98 0.95 0.05 asserted 1.00
s1 A closed-form calculation of the risk of phase incoherence in interconnected power networks is presented, and the effect of network parameters, information flow in WAC architecture, statistics of noise, and time-delays are characterized. contribution 0.83 0.94 0.21 asserted 1.00
s2 We show that in the presence of time-delay and noise, a fundamental trade-off between the best achievable performance (via tuning feedback gains) and value-at-risk emerges. result 0.98 0.95 0.51 asserted 1.00
s3 The significance of our results is that they provide a guideline for developing algorithmic design tools to enhance the coherency and robustness of closed-loop power networks simultaneously. interpretation 0.99 0.60 0.62 asserted 0.98
s4 Finally, we validate our theoretical findings through extensive simulation examples. method 0.75 0.95 0.05 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.83.

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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We develop a framework to quantify systemic risk measures in a class of Wide-Area-Control (WAC) laws in power networks in the presence of noisy and time-delayed sensory data. A closed-form calculation of the risk of phase incoherence in interconnected power networks is presented, and the effect of network parameters, information flow in WAC architecture, statistics of noise, and time-delays are characterized. We show that in the presence of time-delay and noise, a fundamental trade-off between the best achievable performance (via tuning feedback gains) and value-at-risk emerges. The significance of our results is that they provide a guideline for developing algorithmic design tools to enhance the coherency and robustness of closed-loop power networks simultaneously. Finally, we validate our theoretical findings through extensive simulation examples.

Human review
How the literature uses it

1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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