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.
|Permanent link:||http://hdl.handle.net/10197/10645||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 discretization; Delay differential algebraic equations (DDAEs); Long transmission line; Small-signal stability; Time 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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