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We propose a general methodology for identifying critical lines in thelong-distance transmission of power across large electrical networks. When thesystem is pushed to its limits of operation due to large power imbalances orcontingencies, the network may lose synchrony. We analyze the ContinentalEurope grid as a case study and find that instabilities emerge due totopological constraints by which the system loses its stable fixed point(synchronized state), causing the grid to split into two asynchronous zones. Wediscuss also how the modes of the system provide information on which areas aremore susceptible to lose synchrony.

Transmission grid stability with large scale power flows due to renewables