Volume 42 Issue 9
Sep.  2021
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CHEN Weijun, LUO Honglin, PENG Jianwen. The Random ADMM and Its Application to Convex Economic Dispatch Problems of Power Systems[J]. Applied Mathematics and Mechanics, 2021, 42(9): 979-988. doi: 10.21656/1000-0887.420040
Citation: CHEN Weijun, LUO Honglin, PENG Jianwen. The Random ADMM and Its Application to Convex Economic Dispatch Problems of Power Systems[J]. Applied Mathematics and Mechanics, 2021, 42(9): 979-988. doi: 10.21656/1000-0887.420040

The Random ADMM and Its Application to Convex Economic Dispatch Problems of Power Systems

doi: 10.21656/1000-0887.420040
Funds:

The National Natural Science Foundation of China(11991024

11771064)

  • Received Date: 2021-02-04
  • Rev Recd Date: 2021-06-16
  • Available Online: 2021-09-29
  • 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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