Two types of limit cycles of a resonant converter modelled by a three-dimensional system

被引:5
|
作者
Melin, Jan [1 ]
Hultgren, Anders [2 ]
Lindstrom, Torsten [1 ]
机构
[1] Univ Kalmar, Sch Pure & Appl Nat Sci, SE-39182 Kalmar, Sweden
[2] Blekinge Inst Technol, Sch Engn, Dept Signal Proc, SE-37225 Ronneby, Sweden
关键词
Piecewise linear system; Plane; Subspace; Limit cycle; Projection;
D O I
10.1016/j.nahs.2008.09.020
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the long-run dynamics of a resonant converter is studied. The modelling of the resonant converter can be done using various approximations and the long-run dynamics of the two dimensional cases were earlier analysed. In this paper, we discuss results that can be extended to the three dimensional case. It seems that limit cycles describe the long-run dynamics in important situations in the three dimensional case, too. Our objective is to relate the limit cycles found previously in the two-dimensional case to those found now in the three dimensional approximation. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1275 / 1286
页数:12
相关论文
共 50 条
  • [21] Three-Dimensional Limit Cycles Generated from Discontinuous Piecewise Differential Systems Separated by Two Intersecting Planes
    Baymout, Louiza
    Benterki, Rebiha
    Llibre, Jaume
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024,
  • [22] Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles
    Guo, Laigang
    Yu, Pei
    Chen, Yufu
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
  • [23] Limit cycles for the competitive three dimensional Lotka-Volterra system
    Xiao, DM
    Li, WX
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 164 (01) : 1 - 15
  • [24] On the number of limit cycles in perturbations of a two dimensional nonlinear differential system
    Hainzl J.
    aequationes mathematicae, 1997, 53 (1-2) : 254 - 274
  • [25] Mixing in the three-dimensional wake of an experimental modelled vehicle
    Gosse, K.
    Gonzalez, M.
    Paranthoen, P.
    ENVIRONMENTAL FLUID MECHANICS, 2011, 11 (06) : 573 - 589
  • [26] Mixing in the three-dimensional wake of an experimental modelled vehicle
    K. Gosse
    M. Gonzalez
    P. Paranthoën
    Environmental Fluid Mechanics, 2011, 11 : 573 - 589
  • [27] Three-Dimensional Dynamic Features of Two Arctic Oscillation Types
    施宁
    布和朝鲁
    AdvancesinAtmosphericSciences, 2013, 30 (04) : 1039 - 1052
  • [28] Three-dimensional dynamic features of two arctic oscillation types
    Shi Ning
    Bueh, Cholaw
    ADVANCES IN ATMOSPHERIC SCIENCES, 2013, 30 (04) : 1039 - 1052
  • [29] Three-dimensional dynamic features of two arctic oscillation types
    Ning Shi
    Cholaw Bueh
    Advances in Atmospheric Sciences, 2013, 30 : 1039 - 1052
  • [30] Limit cycles of resonant four-dimensional polynomial systems
    Llibre, Jaume
    Mereu, Ana Cristina
    Teixeira, Marco A.
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2010, 25 (02): : 145 - 158