Abstract
A new random alternating direction method of multipliers (ADMM) was designed to solve convex economic dispatch problems in power systems. The convergence of the random ADMM was analyzed. Under some mild assumptions, the random ADMM, according to the cycle update rule and the random selection update rule, was proved to converge to an optimal solution of the convex economic dispatch problem. The numerical experimental results show that, the proposed method is effective to solve convex economic dispatch problems.
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