Asymptotic analysis of Emden–Fowler type equation with an application to power flow models

M.H.M. Christianen; A.J.E.M. Janssen; M. Vlasiou; B. Zwart

doi:10.1016/j.indag.2022.12.001

Asymptotic analysis of Emden–Fowler type equation with an application to power flow models

M.H.M. Christianen (Corresponding author), A.J.E.M. Janssen, M. Vlasiou, B. Zwart

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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Emden–Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific Emden–Fowler type equation that emerges in a queuing theory context as an approximation of voltages under a well-known power flow model. Thus, we place Emden–Fowler type equations in the context of electrical engineering. We derive properties of the continuous solution of this specific Emden–Fowler type equation and study the asymptotic behavior of its discrete analog. We conclude that the discrete analog has the same asymptotic behavior as the classical continuous Emden–Fowler type equation that we consider.

Originele taal-2	Engels
Pagina's (van-tot)	1146-1180
Aantal pagina's	35
Tijdschrift	Indagationes Mathematicae
Volume	34
Nummer van het tijdschrift	5
DOI's	https://doi.org/10.1016/j.indag.2022.12.001
Status	Gepubliceerd - sep. 2023

Bibliografische nota

Funding Information:
This research is supported by the Dutch Research Council through the TOP programme under contract number 613.001.801 .

Publisher Copyright:
© 2022 The Author(s)

Financiering

This research is supported by the Dutch Research Council through the TOP programme under contract number 613.001.801 .

Toegang tot document

10.1016/j.indag.2022.12.001

1-s2.0-S0019357722001021-mainDefinitieve gepubliceerde versie, 800 KBLicentie: CC BY

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1 Afgelopen

Stochastic processes driven by non-convex resource allocation problems
Vlasiou, M. (Project Manager) & Christianen, M. (Projectmedewerker)
1/03/19 → 17/05/24
Project: Second tier

Stochactic processes on interacting networks
Vlasiou, M. (Content manager)
Impact: Research Topic/Theme (at group level)

2 Citaties
1 Conferentiebijdrage
1 Tijdschriftartikel

Simulation study for the comparison of power flow models for a line distribution network with stochastic load demands
Christianen, M. H. M., Vlasiou, M. & Zwart, B., 19 feb. 2023, ICORES 2023 - Proceedings of the 12th International Conference on Operations Research and Enterprise Systems. Liberatore, F., Wesolkowski, S. & Parlier, G. H. (uitgave). blz. 167-174 8 blz.
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Asymptotic analysis of Emden-Fowler type equation with an application to power flow models
Christianen, M. H. M., Janssen, A. J. E. M., Vlasiou, M. & Zwart, B., 29 jun. 2022, In: arXiv. 2022, 33 blz., 2206.14653.
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Citeer dit

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abstract = "Emden–Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific Emden–Fowler type equation that emerges in a queuing theory context as an approximation of voltages under a well-known power flow model. Thus, we place Emden–Fowler type equations in the context of electrical engineering. We derive properties of the continuous solution of this specific Emden–Fowler type equation and study the asymptotic behavior of its discrete analog. We conclude that the discrete analog has the same asymptotic behavior as the classical continuous Emden–Fowler type equation that we consider.",

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AB - Emden–Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific Emden–Fowler type equation that emerges in a queuing theory context as an approximation of voltages under a well-known power flow model. Thus, we place Emden–Fowler type equations in the context of electrical engineering. We derive properties of the continuous solution of this specific Emden–Fowler type equation and study the asymptotic behavior of its discrete analog. We conclude that the discrete analog has the same asymptotic behavior as the classical continuous Emden–Fowler type equation that we consider.

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KW - Asymptotics

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Asymptotic analysis of Emden–Fowler type equation with an application to power flow models

Samenvatting

Bibliografische nota

Financiering

Toegang tot document

Andere bestanden en links

Vingerafdruk

Projecten

Stochastic processes driven by non-convex resource allocation problems

Impact

Stochactic processes on interacting networks

Onderzoekersoutput

Simulation study for the comparison of power flow models for a line distribution network with stochastic load demands

Asymptotic analysis of Emden-Fowler type equation with an application to power flow models

Citeer dit