BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Error Bounds on Power Flow Linearizations: A Convex Relaxation Approach Molzahn, Daniel


The power flow equations model the relationship between the voltages phasors and power flows in an electric power system. The nonlinearity of the power flow equations results in algorithmic and theoretical challenges, including non-convex feasible spaces for optimization problems constrained by these equations. Accordingly, many practical approaches for solving power system optimization and control problems employ linearizations of the power flow equations. By leveraging developments in convex relaxation techniques, this presentation describes recent progress regarding a method for bounding the worst-case errors resulting from power flow linearizations. Specifically, with a focus on the DC power flow approximation, this presentation characterizes the worst-case error in the line flows over a specified range of operational conditions.

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