A Bivariate Chance Constraint of Wind Sources for Multi-Objective Dispatching

DOI: 10.4236/sgre.2013.44039   PDF   HTML     3,325 Downloads   4,732 Views   Citations


The economic emission dispatch (EED) problem minimizes two competing objective functions, fuel cost and emission, while satisfying several equality and inequality constraints. Since the availability of wind power (WP) is highly dependent on the weather conditions, the inclusion of a significant amount of WP into EED will result in additional constraints to accommodate the intermittent nature of the output. In this paper, a new correlated bivariate Weibull probability distribution model is proposed to analytically remove the assumption that the total WP is characterized by a single random variable. This probability distribution is used as chance constraint. The inclusion of the probability distribution of stochastic WP in the EED problem is defined as the here-and-now strategy. Non-dominated sorting genetic algorithm built in MATLAB is used to handle the EED problem as a multi-objective optimization problem. A 69-bus ten-unit test system with non-smooth cost function is used to test the effectiveness of the proposed model.

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M. Elshahed, H. Zeineldin and M. Elmarsfawy, "A Bivariate Chance Constraint of Wind Sources for Multi-Objective Dispatching," Smart Grid and Renewable Energy, Vol. 4 No. 4, 2013, pp. 325-332. doi: 10.4236/sgre.2013.44039.

Conflicts of Interest

The authors declare no conflicts of interest.


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