Iterative linear cuts strenghtening the second-order cone relaxation of the distribution system optimal power flow problem

Seddik Yassine Abdelouadoud (1) , Robin Girard (1) , François-Pascal Neirac (1) , Thierry Guiot (2)

1 PERSEE - Centre Procédés, Énergies Renouvelables, Systèmes Énergétiques
2 CSTB - Centre Scientifique et Technique du Bâtiment

We present a novel iterative algorithm to solve the distribution system optimal power flow problem over a radial network. Our methodology makes use of a widely studied second order cone relaxation applied to the branch flow model of a radial network. Several types of conditions have been established under which this relaxation is exact and we focus here on the situations where this is not the case. To overcome this difficulty, we propose to add increasingly tight linear cuts to the second-order cone problem until a physically meaningful solution is obtained. We apply this technique to a sample system taken from the literature and compare the results with a traditional nonlinear solver.

Mots clés: Distributed power generation; power system planning; smart grids

Domaines: Sciences de l'ingénieur [physics]; Energie électrique

Seddik Yassine Abdelouadoud, Robin Girard, François-Pascal Neirac, Thierry Guiot. Iterative linear cuts strenghtening the second-order cone relaxation of the distribution system optimal power flow problem. 2014 IEEE PES T&D Conference, Apr 2014, Chicago, IL, United States. 4 p., ⟨10.1109/TDC.2014.6863544⟩. ⟨hal-01055444⟩