Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
New Overlapping Coordination Methodology by Nonfeasible Decomposition Method : 2 Level Method
Takashi SHIMA
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1991 Volume 4 Issue 3 Pages 118-125

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Abstract

New overlapping coordination method by nonfeasible decomposition has recently been developed. In this paper, we will further extend the ideas introduced there and propose new coordination procedure which has 2 level structures.
In this proposed method, the upper level sends the values of Kuhn-Tucker (or Lagrange) multipliers of the common coupling constraints of different decompositions to the lower level. In the lower level, different overlapped decompositions solve the problem by exchanging the values of Kuhn-Tucker (or Lagrange) multipliers of constraints with each other which are coupling only in each decomposition. The lower level sends the obtained solution back to the upper level. The upper level modifies the values of multipliers and sends them to the lower level, again. This procedure is repeated until the convergence is achieved.
The proposed method seems very promising and attractive for the future application research of overlapping coordination.

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