The interval sensitivity analysis and optimization of the distribution network parameters considering the load uncertainty

This paper proposes an advanced approach to optimize the line and transformer parameters for the distribution system. The approach first adopts a novel set of interval sensitivity models, based on which an interval forward-backward power flow algorithm and an interval analysis method are further developed. In order to improve computational speed, this approach uses a simplified set models to calculate power system loss interval sensitivity with respect to the admittance of lines and transformers. An interval objective function is formulated and the optimization problem is solved with a discrete bacterial colony chemotaxis algorithm. The applicability and effectiveness of the proposed approach is demonstrated on two real distribution systems.