Robust Optimization for Island Partition of Distribution System Considering Load Forecasting Error

The increase in extreme weather affects the distribution system, leading to system collapse and interruption power supply to loads. Island partition is a resilient solution when major faults happen in the distribution system. This paper proposes an island partition model considering load forecasting error. Specifically, a two-stage robust optimization island partition program is formulated to restore as many loads as possible, while satisfying operation and topology constraints. Ellipsoidal uncertainty set is built to describe the uncertainty of load forecasting error and take the temporal correlation of it into account. The two-stage robust optimization problem is transformed into a mixed integer second order cone problem to make it computationally tractable. The formed island can be more reliable and avoid secondary collapse when facing loads fluctuation, and uncertainty budget is set to control the degree of conservatism of the robust optimization result. The numerical results based on IEEE 33-node distribution system demonstrate the effectiveness of the developed model.