Optimal probabilistic energy management in a typical micro-grid based-on robust optimization and point estimate method

•Energy management is necessary in the active distribution network to reduce operation costs.•Uncertainty modeling is essential in energy management studies in active distribution networks.•Point estimate method is a suitable method for uncertainty modeling due to its lower computation time and acceptable accuracy.•In the absence of Probability Distribution Function (PDF) robust optimization has a good ability for uncertainty modeling.

Uncertainty can be defined as the probability of difference between the forecasted value and the real value. As this probability is small, the operation cost of the power system will be less. This purpose necessitates modeling of system random variables (such as the output power of renewable resources and the load demand) with appropriate and practicable methods. In this paper, an adequate procedure is proposed in order to do an optimal energy management on a typical micro-grid with regard to the relevant uncertainties. The point estimate method is applied for modeling the wind power and solar power uncertainties, and robust optimization technique is utilized to model load demand uncertainty. Finally, a comparison is done between deterministic and probabilistic management in different scenarios and their results are analyzed and evaluated.