Kalman-filter-based observer design around optimal control policy for gas pipelines


Durgut İ., Leblebicioglu K.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol.24, no.2, pp.233-245, 1997 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 2
  • Publication Date: 1997
  • Journal Name: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.233-245
  • Keywords: observers, gas pipelines, optimal control

Abstract

Seeking the optimal operating policy by an off-line controller for pipelines carrying natural gas has an inherent state estimation problem associated with deviations from demand forecast. This paper presents a Kalman-filter-based observer for the real-time estimation of deviations from the states previously obtained by an off-line controller optimally, around an expected demand function. The observer is based on the linearized form of the non-linear partial differential equations which are the state space representation of isothermal and unidirectional gas flow through a pipeline. Data for the observer are produced by a dynamic simulator. The simulator and linearized observer equations are solved using an implicit finite element method. The observer has been tested on a pipeline subject to certain deviations from demand forecast. It converges in a short span of time.