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

• Published in: International transactions on electrical energy systems Vol. 31; no. 1
• Main Authors: Takougang Kingni, Sifeu, Cheukem, Andre, Kemnang Tsafack, Alex Stephane, Kengne, Romanic, Mboupda Pone, Justin Roger, Wei, Zhouchao
• Format: Journal Article
• Language: English
• Published: Hoboken Hindawi Limited 01.01.2021
• 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
• ISSN: 2050-7038; 2050-7038
• DOI: 10.1002/2050-7038.12575

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.