Abstract
The distributed prescribed finite time consensus schemes for economic dispatch (ED) of smart grids with and without the valve point effect are researched in this paper. First, the optimization problem is transformed into a consensus of multiagent system problem, where both with and without the valve point effect are considered. Second, for the directed balance network, a prescribed finite time method has been arranged to solve the ED problem with and without the valve point effect. Third, with considering the constraints of generation units, the prescribed finite time result is also achieved. Finally, from the simulations, the efficiency of the proposed algorithms is validated.
Highlights
The research about the economic dispatch (ED) problem has attracted tremendous attentions, which is important in the smart grid. e aim of the ED problem is to find the optimization of the minimum total generation cost
When there are certain practical constraints, the aim of the ED problem is to find the optimal outputs to minimum total generation cost while meeting the power demand. e traditional ways of solving the ED problem are centralized methods
Many research results focus on the distributed approach to resolve the ED problem [8,9,10,11,12,13,14,15,16,17], where the generation units only get the neighbor’s information. e low communication cost, easy implementation and maintenance, and strong robustness against communication uncertainties are the benefits of distributed ED algorithms [8]
Summary
The research about the ED problem has attracted tremendous attentions, which is important in the smart grid. e aim of the ED problem is to find the optimization of the minimum total generation cost. A distributed prescribed finite time method for the ED problem was proposed [25]. Another important topic is about the valve point effect [28,29,30,31,32,33,34,35,36,37,38,39,40,41]. (2) e prescribed finite time method was derived for solving the ED problem with considering the valve point effect in this paper.
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