Evidence map›Paper›PMID 41951827›Full record

ArticleScientific reports2026

Hybrid mechanism-data-driven modeling for power system frequency response.

Yanlin Yi, Yongji Cao, Changgang Li, Xiaoyang Li, Jie Dong

Abstract read
In one paragraph

Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Yanlin YiSchool of Integrated Circuits, Shandong University, Jinan, 250101, China.
Yongji CaoAcademy of Intelligent Innovation, Shandong University, Jinan, 250101, China. yongji@sdu.edu.cn.
Changgang LiKey Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, 250101, China.
Xiaoyang LiSchool of Integrated Circuits, Shandong University, Jinan, 250101, China.
Jie DongSchool of Integrated Circuits, Shandong University, Jinan, 250101, China.

Funding

Key Research and Development Program of Shandong Province 2025TSGCCZZB0081National Major Science and Technology Project on Smart Grid 2024ZD0801100
6 · The paper itself

Abstract

The integration of large-scale renewable energy into power systems has led to a significant reduction in equivalent inertia and primary frequency regulation capability, posing severe challenges to frequency stability. To accurately analyze the frequency dynamic response trajectory of power systems, a hybrid mechanism-data-driven modeling scheme is proposed. First, an extended system frequency response model that accounts for boiler thermodynamics is developed. Using this model, the time-varying characteristics of different parameters are analyzed, leading to the establishment of a hybrid modeling framework. Then, the auto-regressive moving average with exogenous inputs model is utilized to describe the input–output relationship between active power disturbance and system frequency dynamics, with parameters identified via the forgetting factor recursive least squares method. Moreover, the gated recurrent unit network integrated with an attention mechanism is employed to estimate the thermal state, thereby enabling the calculation of frequency regulation capability. Finally, case study results demonstrate that the proposed scheme can reduce the modeling error and improve the analysis accuracy of frequency dynamics, which verifies its effectiveness.

Indexed as

Frequency regulation capabilityHybrid mechanism-data-drivenParameter identificationSystem frequency response modelThermal dynamic

Identifiers

PMID41951827
PMCPMC13219578

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.