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Comparison of Linear and Conic Power Flow Formulations for Unbalanced Low Voltage Network Optimization

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The electrification of transport and heating systems brings new challenges for the low voltage distribution networks, which in the future might be more prone to congestion. This calls for methods to perform optimization and control actions, to ensure their correct operation. Their large extension and non-negligible degree of voltage unbalance make low voltage systems difficult to analyze. This paper features a comparison of three unbalanced formulations for power flow and OPF analyses: the full nonlinear, non-convex AC formulation, a second-order cone relaxation and a linear approximation. Accuracies and computational efforts are evaluated for different problem types, to assess whether the conic and linear formulation are suitable to perform low voltage systems calculations.

Author(s):

Marta Vanin    
KU Leuven
Belgium

Hakan Ergun    
KU Leuven
Belgium

Reinhilde D'hulst    
VITO
Belgium

Dirk Van Hertem    
KU Leuven
Belgium

 

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