Journal Article

FZJ-2022-03221

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Inferring topology of networks with hidden dynamic variablesnet

Schmidt, R. (Corresponding author) ; Haehne, H. ; Hillmann, L. ; Casadiego, J. ; Witthaut, D.FZJ* ; Schafer, B. ; Timme, M.

2022
IEEE New York, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/31793  doi:10.1109/ACCESS.2022.3191665

Abstract: Inferring the network topology from the dynamics of interacting units constitutes a topical challenge that drives research on its theory and applications across physics, mathematics, biology, and engineering. Most current inference methods rely on time series data recorded from all dynamical variables in the system. In applications, often only some of these time series are accessible, while other units or variables of all units are hidden, i.e. inaccessible or unobserved. For instance, in AC power grids, frequency measurements often are easily available whereas determining the phase relations among the oscillatory units requires much more effort. Here, we propose a network inference method that allows to reconstruct the full network topology even if all units exhibit hidden variables. We illustrate the approach in terms of a basic AC power grid model with two variables per node, the local phase angle and the local instantaneous frequency. Based solely on frequency measurements, we infer the underlying network topology as well as the relative phases that are inaccessible to measurement. The presented method may be enhanced to include systems with more complex coupling functions and additional parameters such as losses in power grid models. These results may thus contribute towards developing and applying novel network inference approaches in engineering, biology and beyond.

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Contributing Institute(s):

1. Systemforschung und Technologische Entwicklung (IEK-STE)

Research Program(s):

1. 1112 - Societally Feasible Transformation Pathways (POF4-111) (POF4-111)
2. CoNDyNet 2 - Kollektive Nichtlineare Dynamik Komplexer Stromnetze (BMBF-03EK3055B) (BMBF-03EK3055B)
3. Verbundvorhaben CoNDyNet: Systemanalytische Bewertung von Energiesicherheit im Stromnetz (03SF0472B) (03SF0472B)

Appears in the scientific report 2022

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