Combination of Nonlinear and Linear Optimization of Transient Gas Networks

• DOI: 10.1287/ijoc.1100.0429
• Publication Date: 2010-12-30T10:10:08Z
• Authors: Pia Domschke; Bjorn Geißler; Oliver Kolb; Jens Lang; Alexander Martin; Antonio Morsi
• Keywords: Linearization; Transient (computer programming); Sequential quadratic programming

In this paper, we study the problem of technical transient gas network optimization, which can be considered a minimum cost flow with nonlinear objective function and additional constraints on arcs. Applying an implicit box scheme to isothermal Euler equation, derive mixed-integer program. This is solved by means combination (i) novel linear programming approach based piecewise linearization (ii) classical sequential quadratic program applied for given combinatorial constraints. Numerical experiments show that better approximations optimal control obtained using solutions algorithm improve Moreover, iteratively applying these two techniques improves results even further.