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北京林业大学 工学院 北京,100083
收稿日期:2015-10-11,
修回日期:2015-11-20,
纸质出版日期:2016-04-25
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徐向波, 陈劭, 张亚楠. 基于复数相移陷波的磁悬浮转子系统自平衡控制[J]. 光学精密工程, 2016,24(4): 764-770
XU Xiang-bo, CHEN Shao, ZHANG Ya-nan. Autobalancing control of magnetically suspended motor systems based on plural phase-shift notch filter[J]. Editorial Office of Optics and Precision Engineering, 2016,24(4): 764-770
徐向波, 陈劭, 张亚楠. 基于复数相移陷波的磁悬浮转子系统自平衡控制[J]. 光学精密工程, 2016,24(4): 764-770 DOI: 10.3788/OPE.20162404.0764.
XU Xiang-bo, CHEN Shao, ZHANG Ya-nan. Autobalancing control of magnetically suspended motor systems based on plural phase-shift notch filter[J]. Editorial Office of Optics and Precision Engineering, 2016,24(4): 764-770 DOI: 10.3788/OPE.20162404.0764.
为抑制磁悬浮转子系统的不平衡振动力
提出了一种基于复数相移陷波器和前馈控制的自平衡控制算法。介绍了磁悬浮转子系统的结构和工作原理
给出了含转子不平衡的磁悬浮转子系统动力学模型
分析了不平衡振动力的电气特性。推导了不平衡振动力的抑制条件
指出功率放大器引起的幅值和相位误差是影响不平衡振动抑制效果的主要因素。将磁悬浮转子两自由度平动方程转换为单自由度复数方程
设计了复数相移陷波器
建立数学方程并讨论了中心频率的幅值和相位特性。最后以磁悬浮控制力矩陀螺为测试平台
对提出的控制算法进行了实验验证。结果表明:采用该算法后不平衡振动力减小了94.1%
验证了该算法的有效性。此外本算法还具有动态过程平滑、计算量少等优点。
To suppress the imbalance force in magnetically suspended rotor systems
an autobalancing control strategy based on a plural phase-shift notch filter and feedforward control method was proposed. The structure and working principle of a suspended rotor system were introduce
and a model of the magnetically suspended rotor system with rotor imbalance was described. The electrical characteristic of the imbalance force was analyzed. Then
the condition to suppress the imbalance force was calculated and the result shows that the suppression errors are mainly caused by the amplitude error and phase error from power amplifiers. By transforming the two degrees-of-freedom translational motions into a single degree-of-freedom plural equation
a plural phase-shift notch filter was proposed. Its math equations were formulated
and the notch features of the amplitude and phase were discussed. Finally
the proposed strategy was tested and verified on a magnetically suspended control moment gyro test platform. The experimental results indicate that the imbalance force has been suppressed by 94.2% with the proposed strategy
which verifies the effectiveness of the proposed control strategy. Moreover
the proposed control strategy is characterized by smooth dynamic processing and a light computational load.
崔培玲, 潘智平, 李海涛. 基于α阶逆系统的两自由度主被动磁悬浮转子解耦控制[J]. 光学精密工程, 2014, 22(10):2747-2756. CUI P L, PAN ZH P, LI H T. Decoupling control of 2-DOF passive and active hybrid magnetically suspended rotor based on α-order system[J]. Opt. Precision Eng., 2014, 22(10):2747-2756. (in Chinese)
FANG J CH, XU X B, TANG J Q, et al.. Adaptive complete suppression of imbalance vibration in AMB systems using gain phase modifier[J]. Journal of Sound and Vibration, 2013, 332(24):6203-6215.
谢进进, 刘刚, 文通. 双框架磁悬浮控制力矩陀螺磁轴承负载力矩符合补偿的控制[J]. 光学精密工程, 2015, 23(8):2211-2219. XIE J J, LIU G, WEN T. Composite compensation for load torque of active magnetic bearing in DGMSCMG[J]. Opt. Precision Eng., 2015, 23(8):2211-2219. (in Chinese)
王英广, 房建成, 郑世强, 等. 磁悬浮电机的高效高精度在线动平衡[J]. 光学精密工程, 2013, 21(11):2884-2892. WANG Y G, FANG J CH, ZHENG SH Q, et al.. Field balancing of magnetically levitated motor in high-efficiency and high-accuracy[J]. Opt. Precision Eng., 2013, 21(11):2884-2892. (in Chinese)
LUM K Y, COPPOLA V T, BERNSTEIN D S. Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance[J]. IEEE Transactions on Control Systems Technology, 1996, 4(5):587-597.
RAOUL H, PHILIPP B, CONRAD G, et al.. Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings[J]. IEEE Transactions on Control Systems Technology, 1996, 4(5):580-586.
刘超, 刘刚, 赵光再. 主被动磁悬浮高速转子系统的自动平衡控制[J]. 光学精密工程, 2015, 23(3):714-722. LIU CH, LIU G, ZHAO G Z. Aotobalancing control of high-speed suspended by active-passive magnetic bearings[J]. Opt. Precision Eng., 2015, 23(3):714-722. (in Chinese)
CHEN Q, LIU G, ZHENG SH Q. Suppression of imbalance vibration for AMBs controlled driveline system using double-loop structure[J]. Journal of Sound and Vibration, 2015, 337:1-13.
XIANG M, WEI T. Autobalancing of high-speed rotors suspended by magnetic bearings using LMS adaptive feedforward compensation[J]. Journal of Vibration and Control, 2014, 20(9):1428-1436.
崔培玲, 盖玉欢, 房建成, 等. 主被动磁悬浮高速转子的不平衡振动自适应控制[J]. 光学精密工程, 2015, 23(1):122-131. CUI P L, GE Y H, FANG J CH, et al..Adaptive control for unbalance vibration of active-passive hybrid magnetically suspended rotor[J]. Opt. Precision Eng., 2015, 23(1):122-131. (in Chinese)
ZENG SH Q, HAN B CH, FENG R, et al.. Vibration suppression control for AMB-supported motor driveline system using synchronous rotating frame transformation[J]. IEEE Transactions on Industrial Electronics, 2015, 62(9):5700-5708.
XU X B, FANG J CH, LI H T, et al.. Active suppression of imbalance vibration in the magnetically suspended control moment gyro[J]. Journal of Vibration and Control, 2015, 21(5):989-1003.
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