The Pulse Energy Converters in the Systems of Ignition, Electrical Supply and Electric Car Accessories

The results of bifurcation analysis seem to be used somehow or other as the basis of any method in nonlinear dynamics forecasting. The peculiarity of the problem setting in the paper is related to the fact that dynamics forecasting supposes the recognition of a bifurcation phenomenon before its beginning. In particular, this problem setting is important from the viewpoint of practical application of pulse energy converters (PEC). So, the necessity of real-time estimation of the direction of transient convergence appears. The complexity of such estimation is stipulated by the information on transients that is not mapped in bifurcation diagrams, and also time series do not contain preliminary information on a nonlinear dynamics picture. Moreover, PEC operation under parameter uncertainties leads to information on a bifurcation boundary location becomes fuzzy. The symbolic description of dynamical processes over time is offered with the purpose of the problem solution. This description is provided by the use of fractal regularities in the geometrical structures of phase trajectories, which are stipulated by the physical essence of both PWM process and transient convergence towards a limit cycle.

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A Practice-Oriented Bifurcation Analysis for Pulse Energy Converters. Part 5: A View Towards the Future

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127421501066 ◽

2021 ◽

Vol 31 (07) ◽

pp. 2150106

Author(s):

Yury Kolokolov ◽

Anna Monovskaya

Keyword(s):

Pulse Energy ◽

Signal Design ◽

The Novel ◽

Bifurcation Diagrams ◽

Local Climate ◽

Evolutionary Changes ◽

Computer Based ◽

Desirable Behavior ◽

Qualitative And Quantitative Characteristics ◽

Energy Converters

The paper concludes the series of the research works on the interdisciplinary analytical approach (the so-called bifurcation-fractal analytics) to forecast the dynamics of pulse systems on the basis of modified bifurcation diagrams. These diagrams are intended to integrate incompatible-in-traditional-spaces images (mainly transients from the phase space and evolution pictures from the parametric space) in order to analyze whether the running transient converges towards the domain of a desirable behavior taking into account its qualitative and quantitative characteristics. The interdisciplinary context of the analytics appears because the novel mathematical images need physical meaning and further this research should be continued for proposing the expedient engineering decision. Here, the advantages to forecast the evolutionary tendencies in different scales of the modified bifurcation diagrams are illustrated by computer-based simulations. Translations of the mathematical images into their physical implementations follow the principle of the bifurcation poker and the principle of the spatial nonuniformity. The experimental results to verify these principles are presented. Variants of engineering proposals are commented in comparison with traditional abilities of the small-signal design. The results systematized in the paper confirm that fundamental obstacles to forecast abnormal evolutionary changes in the dynamics of pulse energy converters are absent. Prospects of the outcome from the experience accumulated in engineering to similar problem statements independently of a pulse system nature are finally discussed. And the regulatory hypothesis on local climate dynamics is considered in this connection. This discussion is quite suitable here because a local climate system can be described as a converter of the solar energy under a specific pulse control realized by the astronomic forcing and there are circumstances, in which electrotechnical simulations can remain a unique way to accelerate the research on prerequisites and sequels of the forthcoming climate changes. Then the bifurcation-fractal analytics provides an initial theoretical foundation to this research.

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