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2007, Volume 3, Issue 3: 553-567. Doi: 10.3934/jimo.2007.3.553
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A semismooth Newton method for solving optimal power flow

  • 1.

    College of Electrical and Information Engineering, Changsha University of Science and Technology

  • 2.

    Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong

  • 3.

    Tsinghua University

  • 4.

    Shangsha Jiao Tong University

Received:  August 31, 2006
Revised:  March 31, 2007
Published:  June 2007
Abstract Related Papers Cited by
    Abstract
  • In this paper, we present some new optimization approaches to solve optimal power flow (OPF) problems. By using a so-called Nonlinear Complementarity Problem (NCP) function, the optimality condition (KKT system) of the original optimization problem is reformulated into a set of nonsmooth equations. The advantage of the new reformulation lies in that the inequality constraints are transformed into equations. The semismooth Newton-type method is applied to solve the reformulated equations. Moreover, we present a decoupled semismooth Newton method according to the inherent weak-coupling characteristics of power systems. The convergence of the new methods, especially for the decoupled method, are established. Numerical examples of both OPF and available transfer capability (ATC) problems demonstrate that the new algorithms are effective.
    Mathematics Subject Classification: Primary: 65K05, 65K10, 90C90.

    Citation:
    shu

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