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Power system planning and operation offers multitudinous opportunities for optimization methods. In practice, these problems are generally large-scale, non-linear, subject to uncertainties, and combine both continuous and discrete variables. In the recent years, a number of complementary theoretical advances in addressing such problems have been obtained in the field of applied mathematics. The paper introduces a selection of these advances in the fields of non-convex optimization, indoi:10.1109/pscc.2014.7038504 dblp:conf/pscc/PanciaticiCGLMS14 fatcat:w6lh2n4cpvhl5fbcomdmnwvwye