A global optimization method for mixed integer nonlinear nonconvex problems related to power systems analysis

    Student thesis: Doc typesDoctor of Sciences

    Abstract

    This work is concerned with the development and the implementation of a global optimization method for solving nonlinear nonconvex problems with continuous or mixed integer variables, related to power systems analysis. The proposed method relaxes the problem under study into a linear outer approximation problem by using the concept of special ordered sets. The obtained problem is then successively refined by a branch-and-bound strategy. In this way, the convergence to a global optimum is guaranteed, provided the discrete variables or those appearing nonlinearly in the original problem are bounded. Our method, conceived to solve a specific kind of problem, has been developed in a general framework in such a way that it can be easily extended to solve a large class of problems. We first derive the method theoretically and next present numerical results, fixing some choices inherent to the method to make it as optimal as possible.
    Date of Award6 Dec 2007
    Original languageEnglish
    Awarding Institution
    • University of Namur
    SupervisorAnnick Sartenaer (Supervisor), Jean-Jacques Strodiot (Jury), Philippe Toint (Jury), Sven Leyffer (Jury) & Christian Merckx (Jury)

    Cite this

    A global optimization method for mixed integer nonlinear nonconvex problems related to power systems analysis
    Wanufelle, E. (Author). 6 Dec 2007

    Student thesis: Doc typesDoctor of Sciences