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  Resilience basins of complex systems: An application to prosumer impacts on power grids

Bien, S., Schultz, P., Heitzig, J., Donges, J. F. (2023): Resilience basins of complex systems: An application to prosumer impacts on power grids. - Chaos, 33, 063148.
https://doi.org/10.1063/5.0120891

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 Creators:
Bien, Samuel1, Author              
Schultz, Paul2, Author
Heitzig, Jobst1, Author              
Donges, Jonathan Friedemann1, Author              
Affiliations:
1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

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 Abstract: Comparable to the traditional notion of stability in system dynamics, resilience is typically measured in a way that assesses the quality of a system’s response, for example, the speed of its recovery. We present a broadly applicable complementary measurement framework that quantifies resilience similarly to basin stability by estimating a resilience basin, which reflects the extent of adverse influences that the system can recover from in a sufficient manner. In contrast to basin stability, the adverse influences considered here are not necessarily displacements in state space, but arbitrarily complex impacts to the system, quantified by adequate parameters. As a proof of concept, we present two applications: (i) the well-studied single-node power system as an easy-to-follow example and (ii) a stochastic model of a low-voltage DC power grid undergoing an unregulated energy transition consisting in the random appearance of prosumers. These act as decentral suppliers of photovoltaic power and alter the flow patterns while the grid topology remains unchanged. The resilience measurement framework is applied to evaluate the effect and efficiency of two response options: (i) upgrading the capacity of existing power lines and (ii) installing batteries in the prosumer households. The framework demonstrates that line upgrades can provide potentially unlimited resilience against energy decentralization, while household batteries are inherently limited (achieving ≤70% of the resilience of line upgrades). Further, the framework aids in optimizing budget efficiency by pointing toward threshold budget values as well as budget-dependent ideal strategies for the allocation of line upgrades and for the battery charging algorithm.

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Language(s): eng - English
 Dates: 2023-06-232023-06-232023-06-23
 Publication Status: Finally published
 Pages: 19
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: PIKDOMAIN: RD1 - Earth System Analysis
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: FutureLab - Earth Resilience in the Anthropocene
Organisational keyword: RD4 - Complexity Science
DOI: 10.1063/5.0120891
MDB-ID: yes - 3470
Research topic keyword: Adaptation
Research topic keyword: Complex Networks
Research topic keyword: Energy
Research topic keyword: Nonlinear Dynamics
Model / method: Agent-based Models
Model / method: Quantitative Methods
 Degree: -

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Title: Chaos
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 33 Sequence Number: 063148 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/180808
Publisher: American Institute of Physics (AIP)