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arXiv · 2206.14653

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
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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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M. H. M. Christianen, A. J. E. M. Janssen, M. Vlasiou, B. Zwart. 2022-06-29. Asymptotic analysis of Emden-Fowler type equation with an application to power flow models. https://arxiv.org/abs/2206.14653

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