以磁通等效实现磁悬浮轴承磁极容错控制

doi:10.16180/j.cnki.issn1007-7820.2023.02.006

摘要/Abstract

摘要：

针对8磁极电磁轴承容错控制问题,文中提出了一种基于磁通等效的电磁轴承容错控制方法。该方法首先通过仿真得到磁通的电流-磁通影响系数,利用线性代数理论计算得到电流分配矩阵。当某一个磁极回路发生故障时,利用电流分配矩阵计算重构电流,使8个磁极端面的磁通在故障前后保持不变,即磁通等效,从而实现容错运行。在ANSYS有限元仿真平台进行仿真,用磁通等效方法可以较好地还原故障前的端面磁通和磁力线分布,并计算得到了磁通误差(最大不超过3.2%,绝大部分小于0.5%)和力误差(最大不超过7%,绝大部分小于1.5%),证明了所提出磁通等效容错控制方法的有效性。

关键词: 电磁轴承, 电流-磁通影响系数矩阵, 容错控制, 磁极故障, 磁通等效, 电流分配矩阵, 重构电流, 等效误差

Abstract:

In view of the problem of fault-tolerant control of 8-pole electromagnetic bearings, a fault-tolerant control method of electromagnetic bearings based on flux equivalence is proposed in the present study. The method first obtains the current-flux influence coefficient of magnetic flux by simulation, and uses linear algebra theory to calculate the current distribution matrix. When a fault occurs in one pole circuit, the current distribution matrix is used to calculate the reconfiguration current so that the flux at the end surfaces of the eight poles remains the same before and after the fault, that is, the flux is equivalent, thus achieving fault-tolerant operation. The simulation is carried out in ANSYS finite element simulation platform, and the flux equivalent method can restore the flux and magnetic force line distribution at the end face before the failure, and the flux error (the maximum does not exceed 3.2%, and most of them are less than 0.5%) and force error (the maximum is not more than 7%, and most of them are less than 1.5%) are calculated, which proves the effectiveness of the proposed flux equivalent fault tolerance control method.

Key words: electromagnetic bearings, current-flux influence coefficient matrix, fault-tolerant control, pole fault, flux equivalence, current distribution matrix, reconfiguration current, equivalence error

中图分类号:

TP11

朱芳甫,陈亮亮,蒋科坚. 以磁通等效实现磁悬浮轴承磁极容错控制[J]. 电子科技, 2023, 36(2): 37-45.

ZHU Fangfu,CHEN Liangliang,JIANG Kejian. Flux Equivalence Based Magnetic Pole Fault Tolerant Operation in Active Magnetic Bearings[J]. Electronic Science and Technology, 2023, 36(2): 37-45.

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名称	参数
定子直径/mm	44.0
转子直径/mm	105.0
磁极宽度/mm	9.6
定子凹槽直径/mm	76.0
气隙/mm	0.4
磁极面宽度夹角/(°)	25
相邻磁极夹角/(°)	45
定子磁极横截面积/mm²	288
匝数	80

编号	故障前	磁通等效
1号磁极	3 A	0.000 0 A
2号磁极	3 A	5.980 7 A
3号磁极	3 A	0.020 1 A
4号磁极	3 A	5.979 7 A
5号磁极	3 A	0.020 4 A
6号磁极	3 A	5.979 7 A
7号磁极	3 A	0.020 1 A
8号磁极	3 A	5.980 7 A

编号	故障前	磁通等效
1号磁极	5 A	0.000 0 A
2号磁极	5 A	9.967 8 A
3号磁极	5 A	0.033 5 A
4号磁极	5 A	9.966 1 A
5号磁极	5 A	0.034 0 A
6号磁极	5 A	9.966 1 A
7号磁极	5 A	0.033 5 A
8号磁极	5 A	9.967 8 A

编号	故障前	磁通等效
1号磁极	8 A	0.000 0 A
2号磁极	8 A	15.948 5A
3号磁极	8 A	0.053 6 A
4号磁极	8 A	15.945 8 A
5号磁极	8 A	0.054 4 A
6号磁极	8 A	15.945 8 A
7号磁极	8 A	0.053 6 A
8号磁极	8 A	15.948 5 A

编号	故障前	磁通等效
1号磁极	10 A	0.000 0 A
2号磁极	10 A	19.935 6 A
3号磁极	10 A	0.067 0 A
4号磁极	10 A	19.932 2 A
5号磁极	10 A	0.068 0 A
6号磁极	10 A	19.932 2 A
7号磁极	10 A	0.067 0 A
8号磁极	10 A	19.935 6 A