Modeling of small-signal stability margin constrained optimal power flow
Bibliographic record
Abstract
This paper presents a novel small-signal stability margin (SSSM) constrained optimal power flow model for generation dispatch to minimize the generation cost while retaining adequate SSSM. The SSSM constraint is described in terms of the total active load variation between an initial operating point and the critical point, which is located on the dynamic performance boundary of small-signal stability. From the existing SSSM model, where the steady-state equation and the small-signal stability equation are taken into account, a modified SSSM model is proposed to reduce the computational requirement. The sensitivity representation of SSSM with respect to operating parameters is newly derived, which makes it possible for the SSSM and steady-state optimization problems to be jointly solved. A joint solution approach is proposed to solve the small-signal stability margin constrained optimal power flow (SSSMC-OPF) model. Simulation results show that the proposed approach can effectively minimize the generation cost subject to retaining a certain level of SSSM. For an 8-machine 24-bus system and a modified practical 68-machine 2395-bus system, the generation costs of SSSMC-OPF are increased by 5.28% and 2.73%, respectively, but the SSSMs are improved by 45% and 14.41%, respectively, compared to the optimal power flow.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".