Small-Signal Stability Analysis for Non-Index 1 Hessenberg Form Systems of Delay Differential-Algebraic Equations

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Title: Small-Signal Stability Analysis for Non-Index 1 Hessenberg Form Systems of Delay Differential-Algebraic Equations
Authors: Milano, Federico
Dassios, Ioannis K.
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Date: 11-Jul-2016
Online since: 2019-05-23T13:43:53Z
Abstract: This paper focuses on the small-signal stability analysis of systems modelled as differential-algebraic equations and with inclusions of delays in both differential equations and algebraic constraints. The paper considers the general case for which the characteristic equation of the system is a series of infinite terms corresponding to an infinite number of delays. The expression of such a series and the conditions for its convergence are first derived analytically. Then, the effect on small-signal stability analysis is evaluated numerically through a Chebyshev discretization of the characteristic equations. Numerical appraisals focus on hybrid control systems recast into delay algebraic-differential equations as well as a benchmark dynamic power system model with inclusion of long transmission lines.
Funding Details: European Commission
Type of material: Journal Article
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Journal: IEEE Transactions on Circuits and Systems I: Regular Papers
Volume: 63
Issue: 9
Start page: 1521
End page: 1530
Copyright (published version): 2016 IEEE
Keywords: Chebyshev discretizationDelay differential algebraic equations (DDAEs)Long transmission lineSmall-signal stabilityTime delay
DOI: 10.1109/TCSI.2016.2570944
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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