Three-Time-Scale Singular Perturbation Stability Analysis of Three-Phase Power Converters

This paper analyzes the stability of the well‐known three‐phase two‐level power converter. Focusing on the rectifier operating mode, the dynamics of the system, when the instantaneous power and dc‐link voltage controllers are included, are described by a set of complex equations that results in a no...

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Bibliographic Details
Published in:Asian journal of control Vol. 16; no. 5; pp. 1361 - 1372
Main Authors: Umbría, Francisco, Aracil, Javier, Gordillo, Francisco, Salas, Francisco, Sánchez, Juan Antonio
Format: Journal Article
Language:English
Published: Hoboken Blackwell Publishing Ltd 01.09.2014
Wiley Subscription Services, Inc
Subjects:
Closed loop systems
Control systems
singular perturbations
Stability analysis
three-phase two-level power converter
three-time-scale approach
ISSN:1561-8625, 1934-6093
Online Access:Get full text
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Summary:This paper analyzes the stability of the well‐known three‐phase two‐level power converter. Focusing on the rectifier operating mode, the dynamics of the system, when the instantaneous power and dc‐link voltage controllers are included, are described by a set of complex equations that results in a nonlinear autonomous singularly perturbed system. Hence, the closed‐loop system can be studied under the assumption of separate time scales. The analysis proposed in this work follows a novel three‐time‐scale approach, where the fast time scale corresponds with the instantaneous power dynamics, the mid‐range time scale is related to the dc‐link voltage dynamics, and the slow time scale is associated with the dc‐link voltage regulator dynamics. In this way, the analysis leads to the decomposition of the closed‐loop system into three simpler subsystems: fast, medium, and slow subsystems. These subsystems approximate the closed‐loop system behavior over the three different time scales. Finally, since the equilibrium point of each subsystem is exponentially stable and some other conditions are satisfied, it is shown that the equilibrium point of the closed‐loop system also presents exponential stability. Experimental results for a synchronous three‐phase power rectifier prototype are included to corroborate the analysis carried out.
Bibliography:ark:/67375/WNG-5T5C15RV-Q
ArticleID:ASJC818
Junta de Andalucía P07-TIC-02991
istex:7AD19FDDF3C22708CC969BF2A40EDA8B482A034D
MICINN-FEDER DPI2009-09661
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.818