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A Bi-Level Interval Robust Optimization Model for Service Restoration in Flexible Distribution Networks

Wenxia Liu, Mengdi Fu, Mengyao Yang, Yanhui Yang, Lingfeng Wang, Rongjie Wang, Tianyang Zhao

2020IEEE Transactions on Power Systems60 citationsDOI

Abstract

Soft normally open points (SNOPs) connected to distribution networks are instrumental in maintaining uninterrupted power supply and improving power quality during the fault period. In order to achieve the optimal service restoration scheme, a novel bi-level service restoration model based on the robust optimization method is proposed in this paper. The upper level of the proposed model aims at minimizing the risk of load loss. The switch statuses and range of power transmitted by SNOP terminals can be obtained. In the lower level of the model, the interval robust optimization method is adopted to cope with the uncertainties of DGs and loads. If there are no optimal solutions, the upper level model needs to be solved once more to adjust the network topology. Finally, a test system is established to verify the effectiveness of the proposed model and solution method. The effects of forecasting errors, the DG penetration, and the ratio of single terminal capacity of SNOP to line capacity on the optimization results are analyzed.

Topics & Concepts

Interval (graph theory)Mathematical optimizationReliability engineeringElectric power systemRange (aeronautics)Fault (geology)Computer scienceNetwork topologyUpper and lower boundsPower (physics)EngineeringControl theory (sociology)MathematicsPhysicsQuantum mechanicsGeologyArtificial intelligenceSeismologyMathematical analysisAerospace engineeringControl (management)Operating systemCombinatoricsOptimal Power Flow DistributionPower System Optimization and StabilityElectric Power System Optimization