针对机电系统动力学响应与电参数变化的相互作用机制问题，将时变啮合刚度及太阳轮处时变轴承刚度表示为转角的函数，建立了适用于不同转速工况的电机-齿轮机电耦合模型。使用dq轴坐标变换法推导了机械系统动态特性与电机定子电流的作用关系。基于精细的机电耦合模型，计算得出了振动响应及电机定子电流响应的频率特性，揭示了啮合频率与轴承频率在定子电流中的映射规律。研究结果表明：定子电流频率会受到机械部分频率调制作用从而产生相应边频，该边频成分可用于判断机械系统运行情况；啮合频率及其倍频直接与电流频率发生调制体现在电流频谱中，轴承频率先与啮合频率卷积再与电流频率发生调制才体现在电流频谱上；在不同转速下工况下，齿轮以及轴承特征频率偏移也能体现在电流频域上。
Abstract
Aiming at the interaction mechanism between the dynamic response of electromechanical system and the change of electrical parameters, the time-varying meshing and bearing stiffness at the sun wheel were expressed as the function of rotation angle, and a motor-gear electromechanical coupling model suitable for different speed conditions is established. The relationship between dynamic characteristics of mechanical system and stator current of motor is deduced by using dq-axis transformation method. Based on the precise electromechanical coupling model, the frequency characteristics of vibration response and stator current response were calculated, and the mapping rule of meshing frequency and bearing frequency in stator current was revealed. The results show that the stator current frequency is modulated by the frequency of the mechanical part to generate the corresponding side frequency, which can be used to judge the operation of the mechanical system. The meshing frequency and its doubling frequency are directly modulated with the current frequency and reflected in the current spectrum. The bearing frequency is first convolved with the meshing frequency and then modulated with the current frequency. Under different speeds, the characteristic frequency deviation of gears and bearings can also be reflected in the current frequency domain.
Key words: motor-gear system; electromechanical coupling; dynamic characteristics; stator current feature analysis
关键词
电机-齿轮系统 /
机电耦合 /
动力学特性 /
定子电流特征分析
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Key words
motor-gear system /
electromechanical coupling /
dynamic characteristics /
stator current feature analysis
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参考文献
[1] Khabou M T, Bouchaala N, Chaari F, et al. Study of a spur gear dynamic behavior in transient regime[J]. Mechanical Systems and Signal Processing, 2011, 25(8): 3089-3101.
[2] Girsang I P, Dhupia J S, Muljadi E, et al. Gearbox and drivetrain models to study dynamic effects of modern wind turbines[J]. IEEE Transactions on Industry Applications, 2014,50(6): 3777-3786.
[3] Chen K, Hu J, Peng Z. Analysis of torsional vibration in an electromechanical transmission system[J]. Advances in Mechanical Engineering, 2016, 8(6): 1687814016650582.
[4] Bai W, Qin D, Wang Y, et al. Dynamic characteristics of motor-gear system under load saltations and voltage transients[J]. Mechanical Systems and Signal Processing, 2018, 100: 1-16.
[5] 刘长钊,秦大同,廖映华.采煤机截割部机电传动系统动力学特性分析[J].机械工程学报,2016,52(07):14-22.
LIU Changzhao，Qin Datong，Liao Yinghua. Dynamic Analysis for the Cutting Electromechanical Transmission System in the Long-wall Shearer [J]. Journal of Mechanical Engineering,2016,52(07):14-22.
[6] 霍军周,吴瀚洋,朱冬,等.TBM机电耦合建模与同步控制策略对比分析[J].机械工程学报,2018,54(01):120-126.
HUO Junzhou，WU Hanyang，ZHU Dong，et al. TBM Electromechanical Coupling Modeling and Comparative Analysis of Synchronous Drive Control Strategy [J]. Journal of Mechanical Engineering, 2018,54(01):120-126.
[7] 于蓬,陈霏霏,章桐,等.集中驱动式电动车动力总成系统振动特性分析[J].振动与冲击,2015,34(01):44-48+57.
YU Peng，CHEN Feifei，ZHANG Tong，et al. Vibration characteristics analysis of a central-driven electric vehicle powertrain[J]. Journal of Vibration and Shock,2015,34(01):44-48+57.
[8] 易园园,秦大同,刘长钊.冲击载荷下电机-多级齿轮系统动态特性研究[J].振动与冲击,2019,38(19):253-260.
YI Yuanyuan，QIN Datong，LIU Changzhao. Dynamic characteristics of a motor-driven multistage gear system under impact load[J]. Journal of Vibration and Shock, 2019,38(19):253-260.
[9] 赵心颖,杨中平,林飞,等.高速列车牵引传动系统机电耦合振动及其影响因素分析[J].铁道学报,2019,41(10):38-46.
ZHAO Xinying，YANG Zhongping，LIN Feil，et al. Study on Electromechanical Coupling Vibration of Traction DriveSystem of Highr-speed Train and Its Influence Factor [J]. Journal of the China railway society, 2019,41(10):38-46.
[10] 朱海燕,尹必超,胡华涛,等.谐波转矩对高速列车齿轮箱体与牵引电机振动特性的影响[J].交通运输工程学报,2019,19(06):65-76.
ZHU Haiyan，YIN Bichao，HU Huatao，et al. Effects of harmonic torque on vibration characteristics of gear box housing and traction motor of high-speed train [J]. Journal of traffic and transportation engineering,2019,19(06):65-76.
[11] Kahraman A, Singh R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system[J]. Journal of Sound and Vibration, 1991,146(1):135-156.
[12] Lin J, Parker R G. Analytical characterization of the unique properties of planetary gear free vibration[J]. Journal of Vibration and Acoustics,1999,121(3).
[13] Krause P C, Wasynczuk O, Sudhoff S D, et al. Analysis of electric machinery and drive systems[M]. New York: IEEE press, 2002.
[14] 马辉,逄旭,宋溶泽,等.基于改进能量法的直齿轮时变啮合刚度计算[J].东北大学学报(自然科学版),2014,35(06):863-866+884.
MA Hui，PANG Xu，SONG Rongze，et al. Time-Varying Mesh Stiffness Calculation of Spur Gears Based on Improved Energy Method[J]. Journal of Northeastern University (Natural Science), 2014,35(06):863-866+884.
[15] Lim T C, Singh R. Vibration transmission through rolling element bearings, part I: bearing stiffness formulation[J]. Journal of sound and vibration, 1990, 139(2): 179-199.
[16] 杨军. 风力发电机行星齿轮传动系统变载荷激励动力学特性研究[D].重庆:重庆大学,2012.
Yang Jun. Study on Dynamics Characteristics of Planetary Gear Transmission System of Wind Turbine under Varying Loads [D]. Chongqing : Chongqing University, 2012.
[17] 张江松. 电力牵引异步电机变频调速系统的研究[D].武汉:华中科技大学,2009.
Zhang Jiangsong. A Thesis Submitted in Partial Fulfillment of the Requirements For the Degree of Master of Science[D]. Wuhan: Huazhong University of Science and Technology,2009.
[18] 曹金鑫. 含太阳轮裂纹故障行星齿轮动力学特性及故障机理研究[D].昆明:昆明理工大学,2019.
Cao Jinxin. Study on Dynamic Characteristics and Fault Mechanism of Planetary Gears with Sun Gear Crack Faults[D]. Kunming: Kunming University of Science and Technology,2019.
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