Period-1 Motions and Bifurcations of a 3D Brushless DC Motor System with Voltage Disturbance
Source abstract
Abstract
In this paper, the nonlinear dynamic system of a brushless DC motor with voltage disturbance is studied analytically via a generalized harmonic balance method. A truncated Fourier series with time-varying coefficients is utilized to represent the analytical variations of nonlinear currents and voltages within this dynamic system. Bifurcations of periodic currents and voltages are obtained, and their stability is discussed through eigenvalue analysis. The frequency–amplitude characteristics of periodic currents and voltages exhibit complexity in the frequency domain. Comparative illustrations are provided to contrast the analytical solutions with numerical outcomes for periodic currents and voltages. These analytical findings can be effectively employed for controlling the brushless DC motors experiencing voltage disturbances.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Chaos control and synchronization · Nonlinear Dynamics and Pattern Formation · Magnetic Bearings and Levitation Dynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China
School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China
State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China
Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
Funding
National Nature Science Foundation of China · Fundamental Research Funds for the Central Universities · Key R&D and Transformation Plan Project of Qinghai Province
References (24)
Show source-provided references
1. Hemati, N. (1993, January 2–8). Dynamic analysis of brushless motors based on compact representations of the equations of motion. Proceedings of the Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting, Toronto, ON, Canada.
2. A continually online-trained neural network controller for brushless DC motor drives10.1109/28.833764 ↗
3. Combined strategy for tuning sensor-less brushless DC motor using SEPIC converter to reduce torque ripple10.1016/j.isatra.2022.06.045 ↗
4. Advanced Simulation Model for Brushless DC Motor Drives10.1080/15325000390227191 ↗
5. Modeling and numerical simulation of a brushless permanent-magnet dc motor in dynamic conditions by time-stepping technique10.1109/TIA.2004.827478 ↗
6. Direct torque control of brushless DC motor with nonideal trapezoidal back EMF10.1109/63.471301 ↗
7. Compensation of torque ripple in high performance BLDC motor drives10.1016/j.conengprac.2010.06.003 ↗
8. Hybrid Adaptive Observer for a Brushless DC Motor10.3182/20080706-5-KR-1001.01728 ↗
9. Sensorless speed and position control of permanent magnet BLDC motor using particle swarm optimization and ANFIS10.1016/j.measen.2023.100960 ↗
10. A comparative analysis of converters performance using various control techniques to minimize the torque ripple in BLDC drive system
11. Nonlinear state feedback control of chaos system of brushless DC motor10.1016/j.procs.2021.02.108 ↗
12. Chaos induced in Brushless DC Motor via current time-delayed feedback10.1016/j.ijleo.2014.06.033 ↗
13. Chaos synchronization and parameters identification of single time scale brushless DC motors10.1016/j.chaos.2003.10.005 ↗
14. Analysis of multistability, hidden chaos and transient chaos in brushless DC motor10.1016/j.chaos.2020.109606 ↗
15. Approximate solutions of periodic motions in nonlinear systems via a generalized harmonic balance10.1177/1077546311421053 ↗
16. Analytical dynamics of period-m flows and chaos in nonlinear systems10.1142/S0218127412500939 ↗
17. Analytical solutions for asymmetric periodic motions to chaos in a hardening Duffing oscillator10.1007/s11071-012-0725-3 ↗
18. Complex period-1 motions in a periodically forced, quadratic nonlinear oscillator10.1177/1077546313490525 ↗
19. Further analytic solutions for periodic motions in the Duffing oscillator10.1007/s40435-016-0263-9 ↗
20. Analytical solutions of periodic motions in 1-dimensional nonlinear systems10.1016/j.chaos.2017.02.003 ↗
21. Feedback control of unstable periodic motion for brushless motor with unsteady external torque10.1140/epjst/e2019-800223-1 ↗
22. Nonlinear behavior for periodically excited brushless motor10.1108/COMPEL-07-2018-0295 ↗
23. Equivalent circuit approach for acoustic MHD generator10.22364/mhd.56.1.1 ↗
24. Analytical Bifurcation Tree of Period-1 to Period-4 Motions in a 3-D Brushless DC Motor With Voltage Disturbance10.1109/ACCESS.2020.3009204 ↗