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Convex relaxations and linear approximation for optimal power flow in multiphase radial networks

Convex relaxations and linear approximation for optimal power flow in multiphase radial networks

Distribution networks are usually multiphase and radial. To facilitate power flow computation and optimization, two semidefinite programming (SDP) relaxations of the optimal power flow problem and a linear approximation of the power flow are proposed. We prove that the first SDP relaxation is exact if and only if the second …