Spiking oscillations and multistability in nonsmooth‐air‐gap brushless direct current motor: Analysis, circuit validation and chaos control

Summary The analysis, electronic validation and chaos control of nonsmooth‐air‐gap brushless direct current motor (BLDCM) running under no loading conditions are investigated in this article. The nonsmooth‐air‐gap BLDCM is described by a system of three‐dimensional autonomous equations. The stabilit...

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Bibliographic Details
Published in:International transactions on electrical energy systems 2021-01, Vol.31 (1), p.n/a
Main Authors: Takougang Kingni, Sifeu, Cheukem, Andre, Kemnang Tsafack, Alex Stephane, Kengne, Romanic, Mboupda Pone, Justin Roger, Wei, Zhouchao
Format: Article
Language:English
Subjects:
Analog circuits
brushless direct current motor
Brushless motors
chaos control
Chaos theory
Circuit design
circuit implementation
Circuits
coexisting attractors
Control systems design
Controllers
Dimensional stability
Direct current
Dynamic stability
Liapunov exponents
monostable and bistable double‐scroll chaotic attractor
Numerical methods
Oscillations
Spiking
spiking oscillations
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Summary:Summary The analysis, electronic validation and chaos control of nonsmooth‐air‐gap brushless direct current motor (BLDCM) running under no loading conditions are investigated in this article. The nonsmooth‐air‐gap BLDCM is described by a system of three‐dimensional autonomous equations. The stability of equilibrium points found is studied. Different dynamical behaviors of nonsmooth‐air‐gap BLDCM including periodic and chaotic spiking oscillations, monostable and bistable double‐scroll chaotic attractors and coexisting attractors are revealed using numerical methods such as two dimensional largest Lyapunov exponents (LLEs) and isospike graphs associated with two parameters of nonsmooth‐air‐gap BLDCM. Moreover, an analog circuit is designed and implemented in OrCAD‐PSpice software to confirm the dynamical behaviors found in nonsmooth‐air‐gap BLDCM during the numerical simulations. Finally, a simple and single controller is designed and added to the chaotic nonsmooth‐air‐gap BLDCM in order to suppress chaotic behavior. The performance of the proposed simple and single controller is illustrated by numerical simulations. The analysis, electronic validation and chaos control of nonsmooth‐air‐gap brushless direct current motor (BLDCM) running under no loading conditions are investigated in this article. The stability of equilibrium points found is studied. Different dynamical behaviors of nonsmooth‐air‐gap BLDCM including periodic and chaotic spiking oscillations, monostable and bistable double‐scroll chaotic attractors and coexisting attractors are revealed using numerical methods such as two‐dimensional largest Lyapunov exponents (LLEs) and isospike graphs associated with two parameters of nonsmooth‐air‐gap BLDCM. Moreover, an analog circuit is designed and implemented in OrCAD‐PSpice software to confirm the dynamical behaviors found in nonsmooth‐air‐gap BLDCM during the numerical simulations. Finally, a simple and single controller is designed and added to the chaotic nonsmooth‐air‐gap BLDCM in order to suppress chaotic behavior.
ISSN:2050-7038
2050-7038
DOI:10.1002/2050-7038.12575