Convergence of Newton’s Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems

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Abstract

Coupling single-carrier networks into multi-carrier energy systems (MESs) has recently become more important. Various formulations of the single-carrier load flow problem (LFP) are used. Moreover, different coupling models lead to different integrated systems of equations for the LFP of MESs. Both could affect the convergence of the Newton-Raphson method (NR) used to solve the nonlinear system of equations. This paper considers the steady-state LFP for example MESs of varying size, with various coupling models and topologies, and various formulations in the single-carrier parts. Based on numerical experiments, this paper compares the convergence behavior of NR for the various single- and multi-carrier systems. For these examples, NR of the steady-state LFP of the MESs is independent of the size of the network and of the coupling, and NR requires at most as many iterations as the slowest single-carrier network.
Original languageEnglish
Title of host publication2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)
Subtitle of host publicationProceedings
PublisherIEEE
Pages1084-1088
Number of pages5
ISBN (Electronic)978-1-7281-7100-5
ISBN (Print)978-1-7281-7101-2
DOIs
Publication statusPublished - 2020
Event10th IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2020 - Virtual/online event due to COVID-19, Delft, Netherlands
Duration: 26 Oct 202028 Oct 2020
Conference number: 10
https://ieee-isgt-europe.org/

Conference

Conference10th IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2020
Abbreviated titleISGT-Europe 2020
CountryNetherlands
CityDelft
Period26/10/2028/10/20
OtherVirtual/online event due to COVID-19
Internet address

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.

Keywords

  • Integrated energy systems
  • Load flow analysis
  • Multi-carrier energy networks
  • Numerical analysis
  • Power flow analysis

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