Open AccessSpiking oscillations and multistability in nonsmooth‐air‐gap brushless direct current motor: Analysis, circuit validation and chaos control
Author(s) -
Takougang Kingni Sifeu,
Cheukem Andre,
Kemnang Tsafack Alex Stephane,
Kengne Romanic,
Mboupda Pone Justin Roger,
Wei Zhouchao
Publication year - 2021
Publication title -
international transactions on electrical energy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.428
H-Index - 42
ISSN - 2050-7038
DOI - 10.1002/2050-7038.12575
Subject(s) - multistability , control theory (sociology) , dc motor , chaos (operating system) , current (fluid) , direct current , physics , computer science , control (management) , engineering , electrical engineering , artificial intelligence , nonlinear system , voltage , computer security , quantum mechanics
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.