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Spiking oscillations and multistability in nonsmooth‐air‐gap brushless direct current motor: Analysis, circuit validation and chaos control
International Transactions on Electrical Energy Systems ( IF 2.3 ) Pub Date : 2020-10-03 , DOI: 10.1002/2050-7038.12575
Sifeu Takougang Kingni 1 , Andre Cheukem 2 , Alex Stephane Kemnang Tsafack 3 , Romanic Kengne 3 , Justin Roger Mboupda Pone 2 , Zhouchao Wei 4
Affiliation  

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.

中文翻译:

非平滑气隙无刷直流电动机的尖峰振荡和多重稳定性:分析,电路验证和混沌控制

本文研究了无负载条件下非光滑气隙无刷直流电动机(BLDCM)的分析,电子验证和混沌控制。非光滑气隙BLDCM由三维自主方程组描述。研究发现的平衡点的稳定性。使用数值方法(例如二维最大李雅普诺夫指数(LLEs)和与两个参数相关的等值图)揭示了非光滑气隙BLDCM的不同动力学行为,包括周期性和混沌尖峰振荡,单稳态和双稳态双涡卷混沌吸引子和共存吸引子。非光滑气隙的BLDCM。此外,在OrCAD‐PSpice软件中设计并实现了一个模拟电路,以在数值模拟过程中确认非平滑气隙BLDCM中发现的动力学行为。最后,设计了一个简单且单一的控制器,并将其添加到混沌的非平滑气隙BLDCM中,以抑制混沌行为。数值仿真说明了所提出的简单和单个控制器的性能。
更新日期:2020-10-03
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