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

被引：45

作者：

Milano, Federico ^{[1
]}

Dassios, Ioannis ^{[2
]}

机构：

[1] Univ Coll Dublin, Sch Elect & Elect Engn, Dublin 4, Ireland

[2] Univ Limerick, MACSI, Limerick V94 T9PX, Ireland

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2016年 / 63卷 / 09期

基金：

爱尔兰科学基金会;

关键词：

Chebyshev discretization; delay differential algebraic equations (DDAEs); long transmission line; small-signal stability; time delay; LOAD FREQUENCY CONTROL; TIME-DELAY; NUMERICAL-SOLUTION; CONSTANT; OBSERVABILITY; CONTROLLER; DESIGN;

D O I：

10.1109/TCSI.2016.2570944

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1521 / 1530

页数：10

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