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

Durgut İ., Leblebicioglu K.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, cilt.24, sa.2, ss.233-245, 1997 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 1997
  • Dergi Adı: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.233-245
  • Anahtar Kelimeler: observers, gas pipelines, optimal control
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.