Small-signal stability analysis of neutral delay differential equations

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Title: Small-signal stability analysis of neutral delay differential equations
Authors: Liu, MuyangDassios, Ioannis K.Milano, Federico
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Date: 1-Nov-2017
Online since: 2019-05-27T07:44:04Z
Abstract: This paper focuses on the small-signal stability analysis of systems modeled as Neutral Delay Differential Equations (NDDEs). These systems include delays in both the state variables and their first time derivatives. The proposed approach consists in descriptor model transformation that constructs an equivalent set of Delay Differential Algebraic Equations (DDAEs) of the original NDDE. The resulting DDAE is a non-index-1 Hessenberg form, whose characteristic equation consists of a series of infinite terms corresponding to infinitely many delays. Then, the effect on small-signal stability analysis is evaluated numerically through a Chebyshev discretization of the characteristic equations. Numerical appraisals focus on a variety of physical systems, including a population-growth model, a partial element equivalent circuit and a neutral delayed neural network.
Funding Details: European Commission
Type of material: Conference Publication
Publisher: IEEE
Start page: 5644
End page: 5649
Series/Report no.: 2017-January
Copyright (published version): 2017 IEEE
Keywords: Stability analysisNumerical stabilityPower system stabilityEigenvalues and eigenfunctionsMathematical modelDelaysNumerical models
DOI: 10.1109/IECON.2017.8216978
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Language: en
Status of Item: Not peer reviewed
Is part of: Proceedings IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society
Conference Details: IECON 2017: 43rd Annual Conference of the IEEE Industrial Electronics Society, China National Convention Center, Beijing, China, 29 October - 1 November 2017
ISBN: 978-1-5386-1127-2
Appears in Collections:Electrical and Electronic Engineering Research Collection

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