Print Email Facebook Twitter Globalized Newton–Krylov–Schwarz AC Load Flow Methods for Future Power Systems Title Globalized Newton–Krylov–Schwarz AC Load Flow Methods for Future Power Systems Author Lahaye, D.J.P. (TU Delft Mathematical Physics) Vuik, Cornelis (TU Delft Numerical Analysis) Contributor Palensky, Peter (editor) Cvetković, Miloš (editor) Keviczky, Tamás (editor) Date 2019 Abstract The load flow equations express the balance of power in an electrical power system. The power generated must equal the power consumed. In the AC time-harmonic case, the load flow equations are non-linear in the voltage phasors associated with the nodes in the network. The development of future power systems urgently requires new, highly efficient and robust load flow solvers. In this contribution we aim at making the following three scientific contributions. We first show that the use of a globalization procedure is required to ensure the convergence of a Newton load flow simulation of a stressed network. Such operational conditions are more likely to occur in the future. We subsequently show that the use of an inexact Newton–Krylov method results in faster computations. We employ Quotient Minimal Degree (QMD) as a matrix reordering method, incomplete LU factorization (ILU) as a preconditioner, Generalized Minimal Residual (GMRES) as a Krylov acceleration, and the Dembo-Steihaus strategy to defined the accuracy of the linear solver at each Newton iteration. We finally show the results of iterative solution algorithms that allow to exploit the decomposition of a network into subnetworks. Decompositions with and without overlapping nodes are tested. To reference this document use: http://resolver.tudelft.nl/uuid:8db98efa-0b73-4537-8575-e4edd1727ead DOI https://doi.org/10.1007/978-3-030-00057-8_4 Publisher Springer, Cham, Switzerland Embargo date 2020-07-01 ISBN 978-3-030-00056-1 Source Intelligent Integrated Energy Systems: The PowerWeb Program at TU Delft Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type book chapter Rights © 2019 D.J.P. Lahaye, Cornelis Vuik Files PDF Lahaye_Vuik2019_Chapter_G ... hwarzA.pdf 552.3 KB Close viewer /islandora/object/uuid:8db98efa-0b73-4537-8575-e4edd1727ead/datastream/OBJ/view