IEEE Transactions on Control of Network Systems · 2014 · 504 citations · 40 references
Natural SciencesElectrical EngineeringMathematicsDesign OptimizationEnergy SystemsOptimizationCombinatorial OptimizationConvex AnalysisConvex OptimizationNetwork Flow AlgorithmsOptimization TheoryPower OptimizationConvex RelaxationsNetwork Flow ModelsNetwork Flow ProblemsPower Flow AnalysisPower Network OptimizationPower System Optimization
This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations in each model, and proves equivalence relations among them. Part II presents sufficient conditions under which the convex relaxations are exact.
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