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Three-Phase Modes of the Frequency-Regulated Asynchronous Electric Drive for Pulse-Width Modulation with Carrier Frequency in the Determined Chaos Mode
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Relevance of the research is defined by the necessity to increase the efficiency of converters for the needs of renewable energy. The strict and conflicting requirements are often imposed to the control algorithms of DC voltage converters used in solar and wind power. The theory of deterministic chaos may be one of the ways of solving the problem of improving the algorithms. The aim of the research is to study and develop the control systems for DC-DC converters which allows working both in periodic mode and in deterministic chaos mode; to develop a physical model of DC-DC converter including the control system operating in deterministic chaos mode; make the voltage feedback circuit for stabilizing the output voltage at the given level. Research method: a review of patent and literature on the topic. The mathematical and experimental methods of investigation of the DC-DC converters were used. The method of mathematical modeling is based on preparation of electrical systems equations solution. The method of experimental research is based on the study of the output graphs, taken from the physical model of the DC-DC converters. Results. The authors have developed the physical model of the DC-DC converter with the control system operating in the deterministic chaos mode. The results show that the method of controlling the DC-DC converters with the help of deterministic chaos reduces electromagnetic interference, and improves significantly energy efficiency. The results obtained in the study can be used both at the stage of designing the power supplies in this class, and for further research and development of new control systems, including the control by deterministic chaos.
In general, DC-DC converter is a highly nonlinear system. More than one decade ago, many researchers have approved that DC-DC converters are experiencing bifurcation and chaotic oscillations. In this paper, both DC-DC Buck and Boost converters are been studied and analyzed. The study showed that such DC-DC converters are experiencing a nonlinear behavior (chaotic behavior) under certain operation conditions. In this paper, we studied the bifurcation and chaos in the DC-DC buck converter with changing different control parameters. In addition, the bifurcation theory will be applied to DC-DC Boost converter. Bifurcation diagrams and state-space diagrams have been shown for changing some control parameters.
We examine the interplay between complexity and unstable periodic orbits in high-dimensional chaotic systems. Argument and numerical evidence are presented suggesting that complexity can arise when the system is severely nonhyperbolic in the sense that periodic orbits with a distinct number of unstable directions coexist and are densely mixed. A quantitative measure is introduced to characterize this unstable dimension variability.
The authors prove three key inequalities stated in the paper by
L.O. Chua, M. Komouro, and T. Matsumoto (see ibid., vol. CAS-33, p.
1072-1118, 1986) by giving verifiable error bounds to the quantities
involved in the inequalities with an assistance of a computer. This
provides another rigorous proof that the so-called double scroll circuit
is chaotic in the sense of Shilnikov. Since a computer is used,
everything must be transparent; there should be no black box. To provide
a rigorous computer-base free from roundoff errors, it is shown that all
the computations are reduced to four logic operations: AND, OR, NOT, and
XOR. Based on this, the computer performs internal analysis, which is a
method of computing intervals containing the true values. This is
important for two reasons: first, the double scroll circuit then
becomes, the first real, physical system in which chaos is (i) observed
in the laboratory, (ii) confirmed by computer simulation, and (iii)
proven mathematically. Second, the author's approach can easily be
modified to apply to other problems, providing a powerful tool for a
large class of problems
Non linear behavior of a Z source DC/DC converter based on dual loop control
- chen