complex numbers

Mathematical Programming formulations for the Alternating Current Optimal Power Flow problem

  • Daniel Bienstock
  • Mauro Escobar
  • Claudio Gentile
  • Leo Liberti
    • Categories Energy, Global Optimization Applications, Quadratic Programming Tags , ,

    Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the cost of generating power. Current can either be direct or alternating: while the … Read more

    Plea for a semidefinite optimization solver in complex numbers

  • Jean Charles Gilbert
  • Cedric Josz
    • Categories Semi-definite Programming Tags , , ,

    Numerical optimization in complex numbers has drawn much less attention than in real numbers. A widespread opinion is that, since a complex number is a pair of real numbers, the best strategy to solve a complex optimization problem is to transform it into real numbers and to solve the latter by a real number solver. … Read more