Research of Periodic Orbits and Chaos in Current Controlled Boost Converter
Jayant J. Mane1, K. Vadirajacharya2
1Jayant J. Mane, Department of Electrical Engineering, DBATU, Lonere (Maharashtra), India.
2K.Vadirajacharya, Department of Electrical Engineering, DBATU, Lonere (Maharashtra), India.
Manuscript received on 28 September 2019 | Revised Manuscript received on 10 November 2019 | Manuscript Published on 22 November 2019 | PP: 1308-1314 | Volume-8 Issue-6S3 September 2019 | Retrieval Number: F12280986S319/19©BEIESP | DOI: 10.35940/ijeat.F1228.0986S319
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Abstract: This paper investigates the periodic orbits and produced chaos produced in a current controlled boost converter using theory of one-dimensional piecewise-smooth maps, simulation and hardware. Initially the one-dimensional linear piecewise-smooth map with suitable parameters which can be used to represent the boost converter is derived. To achieve simulation results the converter is mathematically modelled such that the multi-dimensional system is converted into single-dimensional non-linear. The inductor current is taken as a sate variable. Therefore, the effect of parameter change has to observed and the qualitative change has to be observed and investigated. In this paper we choose to change current reference. The periodic orbits produced in the current are shown with the help of MATLAB Simulink model and the phase portrait is also plotted. Further the same results are validated with the help of hardware.
Keywords: Border Collision Bifurcation, Discontinuous Map, Periodic Orbits.
Scope of the Article: Operational Research