optimization-based bound tightening

Tightening Quadratic Convex Relaxations for the AC Optimal Transmission Switching Problem

  • Cheng Guo
  • Harsha Nagarajan
  • Merve Bodur
    • Categories (Mixed) Integer Nonlinear Programming Tags , , ,

    The Alternating Current Optimal Transmission Switching (ACOTS) problem incorporates line switching decisions into the fundamental AC optimal power flow (ACOPF) problem. The advantages of the ACOTS problem are well-known in terms of reducing the operational cost and improving system reliability. ACOTS optimization models contain discrete variables and nonlinear, non-convex structures, which make it difficult to … Read more

    Three Enhancements for Optimization-Based Bound Tightening

  • Timo Berthold
  • Ambros Gleixner
  • Benjamin Müller
  • Stefan Weltge
    • Categories (Mixed) Integer Nonlinear Programming, Global Optimization, Nonlinear Optimization Tags , , , , ,

    Optimization-based bound tightening (OBBT) is one of the most effective procedures to reduce variable domains of nonconvex mixed-integer nonlinear programs (MINLPs). At the same time it is one of the most expensive bound tightening procedures, since it solves auxiliary linear programs (LPs)—up to twice the number of variables many. The main goal of this paper … Read more