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Line-Wise Power Flow and Voltage Collapse

2020· article· en· W3115667531 on OpenAlex

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affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldEngineering
TopicOptimal Power Flow Distribution
Canadian institutionsToronto Metropolitan University
Fundersnot available
KeywordsJacobian matrix and determinantElectric power systemSlack busAC powerPower-flow studyPower BalanceControl theory (sociology)VoltageComputationPower (physics)Computer scienceNewton's methodAlgorithmMathematicsEngineeringApplied mathematicsElectrical engineeringPhysicsNonlinear system

Abstract

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Voltage collapse is a phenomenon where voltage collapses at one or more busses due to lack of reactive power characterized by a decrease in voltage with increase in reactive power injection and voltage drop in connected lines due to large power flows. Bus-wise power balance equations, solved using the Newton- Raphson (NR) technique, are widely used to analyze power systems for VC. While bus-wise power balance equations succinctly model a power system, it and its Jacobian do not readily point out the most critical set of lines without additional analysis. In this paper, first, a line-wise set of equations for modeling a power system and its solution method using the NR technique for power flow analysis are proposed. Study results on 6-, 14-, 57-, and 118-bus IEEE systems, a 582-bus real system, 2383-bus Polish power system, and 9241-bus PEGASE system show that the proposed method is accurate, provides monotonic convergence, scales well of large systems, and is consistently faster up to twice the speed of the bus-wise NR method, while using sparse matrices. Second, a line-wise VC index is derived and shown to be directly present in the Jacobian of the line-wise NR method, identifying the susceptible set of lines without additional computation. Usefulness of VC index as an online VC assessment tool is demonstrated for a critical loading condition on test systems.

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Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.765
Threshold uncertainty score0.432

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.009
GPT teacher head0.195
Teacher spread0.186 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

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Citations2
Published2020
Admission routes1
Has abstractyes

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