Decompositions of injection patterns for nodal flow allocation in renewable electricity networks Mirko Schäfer, Bo Tranberg, Sabrina Hempel, Stefan Schramm and Martin Greiner Eur. Phys. J. B, 90 8 (2017) 144 Published online: 02 August 2017 DOI: 10.1140/epjb/e2017-80200-y