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  • 1. Hultgren, Anders
    et al.
    Melin, Jan
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Ranstad, Per
    Asymmetric Limit Cycles in an Industrially Applied Controlled Resonant Converter2009In: Proceedings from IFAC conference, September 16-18. Elsevier. / [ed] A. Giua, C. Mahulea, M. Silva and J. Zaytoon., Zaragoza, Spain, 2009Conference paper (Refereed)
  • 2.
    Hultgren, Anders
    et al.
    Blekinge Tekniska Högskola.
    Melin, Jan
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Ranstad, Per
    Alstom Powers, Växjö.
    Limit Cycle Control of an Industrially Applied Resonant Converter Modelled as a Hybrid System2011In: 2011 IEEE International Symposium on Circuits and Systems (ISCAS), IEEE Press, 2011, p. 1916-1919Conference paper (Refereed)
    Abstract [en]

    Limit cycle control of an industrially applied high power, high voltage resonant power converter is modelled as a hybrid system. It is found that the hybrid system with three continuous states and one logic state given a parameter set up and different initial conditions has a rich solution set indicating possible problems in the industrial application. The solution set are one central closed trajectory and two asymmetric types of limit cycles.

  • 3.
    Hultgren, Anders
    et al.
    Blekinge Tekniska Högskola.
    Melin, Jan
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Ranstad, Per
    Alstom Power.
    Limit Cycles in an Industrially Applied Hybrid System2010In: 2010 11th International Workshop on 11th IEEE Workshop on Variable Structure Systems, Mexico City: IEEE Press, 2010, p. 277-282Conference paper (Refereed)
    Abstract [en]

    An Industrially applied LCC power converter is modelled as a hybrid system. It is found that the hybrid system with three continuous states and one logic state given a parameter set up and different initial conditions has among other solutions one central closed trajectory and two types of limit cycles, on the left and the right side. The other solutions are indicated.

  • 4.
    Melin, Jan
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Does distribution theory contain means for extending Poincare-Bendixson theory2005In: Journal of mathematical analysis and applications, Vol. 303 (1), p. 81-89Article in journal (Refereed)
  • 5.
    Melin, Jan
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Review of the paper by Peter Kukucka, "Jumps of the fundamental solution matrix in discontinuous systems and applications" Nonlinear Analysis 66 (2007) 2529-2546, Elsevier.2007In: Zentralblatt MATHArticle, review/survey (Other academic)
  • 6.
    Melin, Jan
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Some examples describing the need of modifying the Bendixson criterion for piecewise C-1-systems2005In: Nonlinear analysis : theory, methods & applications, Vol. 62 (8), p. 1516-1526Article in journal (Refereed)
  • 7.
    Melin, Jan
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Upper bounds for the number of limit cycles of switched systems through distribution theory.2003In: International journal of hybrid systems., Vol. 3, p. 331-340Article in journal (Refereed)
  • 8.
    Melin, Jan
    et al.
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Hultgren, Anders
    University of Kalmar, Department of Technology.
    A Limit Cycle Of A Resonant Converter2003In: Elsevier pp 169-174, 2003Conference paper (Refereed)
  • 9.
    Melin, Jan
    et al.
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Hultgren, Anders
    University of Kalmar, Department of Technology.
    On conditions for regularity of solutions for a piecewise linear system2006In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 65, no 12, p. 2277-2301Article in journal (Refereed)
  • 10.
    Melin, Jan
    et al.
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Hultgren, Anders
    University of Kalmar, Department of Technology.
    Lindström, Torsten
    University of Kalmar, School of Pure and Applied Natural Sciences.
    Two types of Limit Cycles of a Resonant Converter modelled by a three-dimensional system2008In: Nonlinear Analysis: Hybrid Systems, ISSN 1751-570X, Vol. 2, no 4, p. 1275-1286Article in journal (Refereed)
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