Evidence map›Paper›PMID 35937641›Full record

ArticleIEEE access : practical innovations, open solutions2022

Supermodal Decomposition of the Linear Swing Equation for Multilayer Networks.

Kshitij Bhatta, Amirhossein Nazerian, Francesco Sorrentino

Abstract read
In one paragraph

Article in IEEE access : practical innovations, open solutions, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing 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

1 citing paper in PubMed.

  1. Article
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

3 authors.

Kshitij BhattaDepartment of Mechanical and Aerospace Engineering, Univeristy of Virginia, Charlottesvile, VA 22903, USA.ORCID 0000-0002-7884-9667
Amirhossein NazerianMechanical Engineering Department, University of New Mexico, Albuquerque, NM 87131, USA.ORCID 0000-0003-1280-2353
Francesco SorrentinoMechanical Engineering Department, University of New Mexico, Albuquerque, NM 87131, USA.ORCID 0000-0001-8899-1176

Funding

A Closed Loop Control System with Live Cells in the LoopR21EB028489 · NIBIB · UNIVERSITY OF NEW MEXICO · PI SORRENTINO, FRANCESCO · 2020 to 2022
$577k
NIBIB NIH HHS R21 EB028489
6 · The paper itself

Abstract

We study the swing equation in the case of a multilayer network in which generators and motors are modeled differently; namely, the model for each generator is given by second order dynamics and the model for each motor is given by first order dynamics. We also remove the commonly used assumption of equal damping coefficients in the second order dynamics. Under these general conditions, we are able to obtain a decomposition of the linear swing equation into independent modes describing the propagation of small perturbations. In the process, we identify symmetries affecting the structure and dynamics of the multilayer network and derive an essential model based on a 'quotient network.' We then compare the dynamics of the full network and that of the quotient network and obtain a modal decomposition of the error dynamics. We also provide a method to quantify the steady-state error and the maximum overshoot error. Two case studies are presented to illustrate application of our method.

Indexed as

Modal decompositionmulti-layer networksquadratic eigenvalue problemswing equation

Identifiers

PMID35937641
PMCPMC9354730

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

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.