Flow with Nonlinear Potential in General Networks -- Simulation, Optimization, Control, Risk and Stability Analysis

TL;DR

This paper surveys models and methods for optimizing and analyzing flow with nonlinear potential in general networks, focusing on simulation, optimization, sensitivity, and stability, with applications to industrial gas networks.

Contribution

It introduces specific models and solution methods for nonlinear, non-convex network flow problems with mixed variables, developed by the authors.

Findings

Effective simulation and optimization techniques for nonlinear network flows.

Methods for sensitivity and stability analysis of nonlinear network models.

Industrial applications demonstrated in gas network optimization.

Abstract

The aim of this paper is a short survey of models and methods that developed by the authors. These models and methods are used to optimize general networks with nonlinear non-convex restrictions and objectives possessing mixed continuous-discrete optimization variables. There are discussed the problem formulations and solution methods for simulation, optimization, sensitivity and stability analysis for flow with nonlinear potential in general networks. These problems and the developed methods and programs have industrial application e.g. by gas networks.