Stability Analysis of DC-DC Converters Applying Lie Algebra

被引：0
|
作者：
Bhattacharyya, Debanjana [1 ]
Pati, Kishor Chandra [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Rourkela, Odisha, India
来源：
IETE JOURNAL OF RESEARCH | 2022年 / 68卷 / 04期
关键词：
Lie Algebra; DC-DC converter; switched linear system; asymptotic stability; exponential stability; decay coefficient; decay rate; SWITCHED SYSTEMS; POWER ELECTRONICS; BOOST CONVERTER; VOLTAGE; DESIGN;
D O I：
10.1080/03772063.2020.1754931
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：
Stability analysis of switched DC-DC converters is necessary because instability enhances current ripple and causes converter operation at unwanted voltage/current level. In the present study, stability analysis of switched converters using Lie Algebra has been performed considering the switched linear model of DC-DC converters. The switched linear system is asymptotically stable if the Lie bracket formed by the state matrices of the system is commutative. The Lie Algebra is generated and its derived series is also computed. The Lie Algebra is found to be solvable, consequently the switched system is exponentially stable under arbitrary switching. The effect of duty cycle variation and load resistance of DC-DC converters, working in continuous conduction mode (CCM) on the decay constant and decay coefficient, has also been studied. The decay coefficient and decay rate of this exponentially stable system are observed to increase with an increase in the duty cycle for a specific load resistance.
引用
收藏
页码：3130 / 3140
页数：11
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