Stability and synchronization in power networks

• Grant number: 15/25947-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2016
• End date: April 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Tiago Pereira da Silva
• Grantee: Jacob Eldering
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

Power-grids are formed by the complex interaction structure between generators and consumers. The power stations must keep a proper synchronisation to avoid energy supplydisturbances and blackouts. Because of the complex linking structure of the network predicting the stability of synchronisation and how the network structure affects the stability remains an open challenge. This project aims at understanding how the linking structure affects the overall synchronisation of the power generators. In particular, how blackouts can be avoided by manipulating the network structure. To this end, we study how the network affects the stability of the synchronised dynamics and its basin of attraction. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ELDERING, JAAP; KVALHEIM, MATTHEW; REVZEN, SHAI. Global linearization and fiber bundle structure of invariant manifolds. Nonlinearity, v. 31, n. 9, p. 4202-4245, SEP 2018. (15/25947-6)

ELDERING, JAAP; LAMB, JEROEN S. W.; PEREIRA, TIAGO; DOS SANTOS, EDMILSON ROQUE. Chimera states through invariant manifold theory. Nonlinearity, v. 34, n. 8, p. 5344-5374, AUG 2021. (18/10349-4, 15/25947-6, 13/07375-0)