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A new decomposition method applied to optimization problems arising in power systems: Local and global behavior

Antonio J. Conejo, Francisco J. Nogales and Francisco J. Prieto

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

Abstract: In this report a new decomposition methodology for optimization problems is presented. The proposed procedure is general, simple and efficient. It avoids most disadvantages of other common decomposition techniques, such as Lagrangian Relaxation or Augmented Lagrangian Relaxation. The new methodology is applied to a problem coming from interconnected power systems. The application of the new method to this problem allows the computation of an optimal coordinated but decentralized solution. Local and global convergence properties of the proposed decomposition algorithm are described. Numerical results show that the new decentralized methodology has a lower computational cost than other decomposition techniques, and in large-scale cases even lower than a centralized approach.

Keywords: Nonlinear; programing; decomposition; methods; decentralized; coordination (search for similar items in EconPapers)
Date: 1999-06
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