Optimal control of gas pipelines via infinite-dimensional analysis
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol.22, no.9, pp.867-879, 1996 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 9
- Publication Date: 1996
- Doi Number: 10.1002/(sici)1097-0363(19960515)22:9<867::aid-fld383>3.0.co;2-#
- Journal Name: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.867-879
- Middle East Technical University Affiliated: Yes
Abstract
A general optimal control approach employing the principles of calculus of variations has been developed to determine the best operating strategies for keeping the outlet pressure of gas transmission pipelines around a predetermined value while achieving reasonable energy consumption. The method exploits analytical tools of optimal control theory. A set of partial differential equations characterizing the dynamics of gas flow through a pipeline is directly used The necessary conditions to minimize the specific performance index come from the infinite-dimensional model. The optimization scheme has been tested on a pipeline subject to stepwise change in demand.