Efficient state estimation for gas pipeline networks via low-rank approximations

ARGESIM Report 20 (ISBN 978-3-901608-97-1), p 163-170, DOI: 10.11128/arep.20.a2029

Abstract

In this paper we investigate the performance of projection-based low-rank approximations in Kalman filtering. For large-scale gas pipeline networks structure-preserving model order reduction has turned out to be an advantageous way to compute accurate solutions with much less computational effort. For state estimation we propose to combine these low-rank models with Kalman filtering and show the advantages of this procedure to established low-rank Kalman filters in terms of efficiency and quality of the estimate.