Small-signal stability analysis of neutral delay differential equations
|Title:||Small-signal stability analysis of neutral delay differential equations||Authors:||Liu, Muyang; Dassios, Ioannis K.; Milano, Federico||Permanent link:||http://hdl.handle.net/10197/10652||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 analysis; Numerical stability; Power system stability; Eigenvalues and eigenfunctions; Mathematical model; Delays; Numerical models||DOI:||10.1109/IECON.2017.8216978||Other versions:||http://iecon2017.csp.escience.cn/dct/page/1||Language:||en||Status of Item:||Not peer reviewed||Is part of:||Proceedings IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society||Conference Details:||IECON 2017: 43rd Annual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|
Show full item record
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.