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

Anne S. Markensteijn; Kees Vuik

doi:10.1109/ISGT-Europe47291.2020.9248959

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

Numerical Analysis

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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 language	English
Title of host publication	2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)
Subtitle of host publication	Proceedings
Publisher	IEEE
Pages	1084-1088
Number of pages	5
ISBN (Electronic)	978-1-7281-7100-5
ISBN (Print)	978-1-7281-7101-2
DOIs	https://doi.org/10.1109/ISGT-Europe47291.2020.9248959
Publication status	Published - 2020
Event	2020 IEEE PES Innovative Smart Grid Technologies - The Hague/Virtual, Netherlands Duration: 26 Oct 2020 → 28 Oct 2020 https://ieee-isgt-europe.org/

Conference

Conference	2020 IEEE PES Innovative Smart Grid Technologies
Abbreviated title	ISGT Europe 2020
Country	Netherlands
City	The Hague/Virtual
Period	26/10/20 → 28/10/20
Internet address	https://ieee-isgt-europe.org/

Keywords

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

Access to Document

10.1109/ISGT-Europe47291.2020.9248959

Link to publication in Scopus

Embargoed Document

09248959
Final published version, 391 KB
Embargo ends: 10/05/21

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Cite this

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title = "Convergence of Newton{\textquoteright}s Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems",

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.",

keywords = "Integrated energy systems, Load flow analysis, Multi-carrier energy networks, Numerical analysis, Power flow analysis",

author = "Markensteijn, {Anne S.} and Kees Vuik",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – 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.; 2020 IEEE PES Innovative Smart Grid Technologies, ISGT Europe 2020 ; Conference date: 26-10-2020 Through 28-10-2020",

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Markensteijn, AS & Vuik, K 2020, Convergence of Newton’s Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems. in 2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe): Proceedings., 9248959, IEEE, pp. 1084-1088, 2020 IEEE PES Innovative Smart Grid Technologies, The Hague/Virtual, Netherlands, 26/10/20. https://doi.org/10.1109/ISGT-Europe47291.2020.9248959

Convergence of Newton’s Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems. / Markensteijn, Anne S.; Vuik, Kees.

2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe): Proceedings. IEEE, 2020. p. 1084-1088 9248959.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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N1 - 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.

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N2 - 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.

AB - 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.

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