Period-1 Motions and Bifurcations of a 3D Brushless DC Motor System with Voltage Disturbance-Reference-Cited by-同舟云学术

Period-1 Motions and Bifurcations of a 3D Brushless DC Motor System with Voltage Disturbance

Published:2024-06-02 Issue:11 Volume:14 Page:4820
ISSN:2076-3417
Container-title:Applied Sciences
language:en
Short-container-title:Applied Sciences

Author:

Chen Bin¹^ORCID,Xu Yeyin²³,Jiao Yinghou⁴,Chen Zhaobo⁴

Affiliation:

1. College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China

2. School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China

3. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China

4. Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China

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.

Funder

National Nature Science Foundation of China

Fundamental Research Funds for the Central Universities

Key R&D and Transformation Plan Project of Qinghai Province

Publisher

MDPI AG

Link

https://www.mdpi.com/2076-3417/14/11/4820/pdf

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