A Primal-Dual Interior Point Method for Optimal Power Flow Dispatching

By Rabih A. Jabr, A. Coonick, B. Cory. IEEE Power Engineering Review, 2002

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Strong SOCP Relaxations for the Optimal Power Flow Problem (2015, methodology): “In order to solve the OPF problem, the academic literature has focused on improving non-linear optimization methods such as the interior point methods (IPM) to compute local optimal solutions, see e.g. (Wu et al. 1994, Torres and Quintana 1998, Jabr et al. 2002, Wang et al. 2007).”
On Computational Issues of Market-Based Optimal Power Flow (2007, methodology): “As indicted in [12], DPOB originates from separable programming [23].”
Zero Duality Gap in Optimal Power Flow Problem (2012, background): “other papers too (see [34] and the references given therein).”
Convexity of the set of feasible injections and revenue adequacy in FTR markets (2005, background): “THE ISSUE OF convexity of power flow solutions arises on occasion, particularly in relation to optimization problems such as economic dispatch [1], [2].”
Physics of power networks makes hard optimization problems easy to solve (2012, background): “Note that allowing load over-satisfaction means that the power balance equations are expressed as inequality constraints rather than equality constraints [8], [17], [14].”