Probabilistic multi-objective optimization in Islanded microgrids considering Load and Wind uncertainties with wind site correlations

This paper proposes a new formulation for optimal operation in islanded microgrids with realistic goals considering uncertainties in load as well as wind generations; to evaluate the impact of wind site correlations on the optimal operation. The effect of uncertainties in the islanded microgrid environment is handled using probabilistic based 2m+1-point estimate method together with Nataf transformation for correlation. The objectives functions considered for optimization are total generation cost, total emission and total voltage deviations in voltage profile. The problem is formulated considering operational constraints of fixed capacity droop controlled generations and other islanded operational constraints along with uncertainties. Furthermore, the proposed probabilistic multi-objective problem is solved using the multi-objective version of ant lion optimization algorithm in finding the optimal droop parameters of generators in islanded microgrid. The performance of the proposed solution methodology is tested in 33-bus microgrid. The effectiveness of proposed method is highlighted by comparing with other algorithms, and the effect of wind site correlations on considered objective functions are discussed thoroughly.