Abstract
In this paper, a new stochastic structure is described to model the uncertainty effect of the active and reactive loads in the DSTATCOM allocation and sizing problem. The proposed technique has 2m+1 point estimate method (PEM) to trap the uncertainty associated with the expected error of the loads. The objectives are minimization of the total active power losses which diminish the voltage deviation of the buses. Other than that, a new optimization algorithm based on the bat algorithm (BA) is presented to search the problem space globally. Also, the idea of interactive fuzzy satisfying method is applied in the multi-objective formulation to provide a proper balance between the optimization of the objective functions. In the end, the proposed method is tested on the 69-bus IEEE distribution system to validate its feasibility and effective performance.