caa a22 4500 528785710 20190713030954.0 cr unu---uuuuu 180924s2016 xx s 000 0 eng 10.3929/ethz-b-000113968 doi 10.1038/ncomms10790 doi (ETHRESEARCH)oai:www.research-collection.ethz.ch:20.500.11850/113968 Simpson-Porco John W. Voltage collapse in complex power grids [Elektronische Daten] [John W. Simpson-Porco, Florian; id_orcid 0000-0002-9649-5305 Dörfler, Francesco Bullo] Nat Commun Open access ethresearch A large-scale power grid's ability to transfer energy from producers to consumers is constrained by both the network structure and the nonlinear physics of power flow. Violations of these constraints have been observed to result in voltage collapse blackouts, where nodal voltages slowly decline before precipitously falling. However, methods to test for voltage collapse are dominantly simulation-based, offering little theoretical insight into how grid structure influences stability margins. For a simplified power flow model, here we derive a closed-form condition under which a power network is safe from voltage collapse. The condition combines the complex structure of the network with the reactive power demands of loads to produce a node-by-node measure of grid stress, a prediction of the largest nodal voltage deviation, and an estimate of the distance to collapse. We extensively test our predictions on large-scale systems, highlighting how our condition can be leveraged to increase grid stability margins. Creative Commons Attribution 4.0 International http://creativecommons.org/licenses/by/4.0 ethresearch Dörfler Florian; id_orcid 0000-0002-9649-5305 joint author Bullo Francesco joint author Nature Communications London : Nature Publishing Group 7, p. 10790 2041-1723 http://hdl.handle.net/20.500.11850/113968 text/html WWW-Backlink auf das Repository (Open access) 1 Journal Article ethresearch ETHRESEARCH 856 40 http://hdl.handle.net/20.500.11850/113968 text/html WWW-Backlink auf das Repository (Open access) ETHRESEARCH 100 1- Simpson-Porco John W. ETHRESEARCH 700 1- Dörfler Florian; id_orcid 0000-0002-9649-5305 joint author ETHRESEARCH 700 1- Bullo Francesco joint author ETHRESEARCH 773 0- Nature Communications London : Nature Publishing Group 7, p. 10790 2041-1723 BK010053 XK010053 XK010000 ETHRESEARCH ETHRESEARCH ETHRESEARCH Journal Article Open access