A New Affine Arithmetic-based power flow analysis for Weakly Meshed Distribution Systems under Uncertainty

An affine arithmetic based load flow for weakly meshed distribution systems with uncertainty using optimized solution intervals is proposed in the present work. Uncertainty is considered in loads and Distributed Generation (DG) connected at buses. Affine Arithmetic (AA) is used to represent uncertainty in distribution load flow. Bus Injection to Branch Current (BIBC) and Branch Current to Bus Voltage (BCBV) matrices are used in the load flow. Noise intervals for the initial affine solution are optimised with respect to the specified uncertainty in power injections. The proposed method, existing AA and Monte Carlo simulations based power flow analyses are tested on weakly meshed 33 and 118 bus distribution systems.