CN115664260A - Magnetic suspension rotor static balance system and method based on magnetic bearing magnetomotive calculation - Google Patents

Magnetic suspension rotor static balance system and method based on magnetic bearing magnetomotive calculation Download PDF

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CN115664260A
CN115664260A CN202211215772.8A CN202211215772A CN115664260A CN 115664260 A CN115664260 A CN 115664260A CN 202211215772 A CN202211215772 A CN 202211215772A CN 115664260 A CN115664260 A CN 115664260A
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rotor
magnetic
winding
static
counterweight
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王英广
张鹏波
樊亚洪
张激扬
武登云
张强
卿涛
冯洪伟
齐明
罗睿智
姚锐
胡跃伟
赵维珩
宿诺
梁柱林
赵志新
肖晓
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Beijing Institute of Control Engineering
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Abstract

A magnetic suspension rotor static balance system and method based on magnetic bearing magnetomotive force comprises the following steps: the device comprises a magnetic suspension rotor system unit, a full-circle rotation control unit, a characteristic current extraction unit and a static balance weight resolving unit. The magnetic suspension rotor system unit suspends the unbalanced rotor, and the full-circle rotation control unit controls the unbalanced rotor to stably rotate around a geometric shaft of the unbalanced rotor. The characteristic current extraction unit extracts characteristic current from the winding current acquired by the magnetic suspension rotor system unit. And the static balance weight calculating unit calculates the weight mass and the weight angular position required by the static balance of the unbalanced rotor according to the characteristic current obtained by the characteristic current extracting unit.

Description

一种基于磁轴承磁力推算的磁悬浮转子静平衡系统及方法A Static Balancing System and Method for Magnetic Suspension Rotor Based on Magnetic Force Calculation of Magnetic Bearing

技术领域technical field

本发明涉及一种基于磁轴承磁力推算的磁悬浮转子静平衡系统及方法,适用于对磁悬浮转子系统进行在线静平衡。The invention relates to a static balancing system and method of a magnetic levitation rotor based on magnetic calculation of a magnetic bearing, which is suitable for online static balancing of a magnetic levitation rotor system.

背景技术Background technique

磁悬浮轴承支承相对于传统机械轴承支承具有无接触、无磨损、振动小、可主动控制等特点,在磁悬浮飞轮、磁悬浮控制力矩陀螺和磁悬浮旋转关节等航天精密机电产品中有广阔的应用前景。Compared with traditional mechanical bearings, magnetic suspension bearings have the characteristics of no contact, no wear, small vibration, and active control. They have broad application prospects in aerospace precision electromechanical products such as magnetic suspension flywheels, magnetic suspension control moment gyroscopes, and magnetic suspension rotary joints.

磁悬浮旋转关节旋转部分为非旋转体,并且上面安装有多种单机设备,其质量分布无法精确估计和测量。同时,虽然磁悬浮旋转关节旋转转速低,但转子部分质量及转动惯量都极大,以上均会导致磁悬浮旋转关节具有较大的残余不平衡。而为提高磁轴承线性度和去除位移负刚度,磁悬浮旋转关节采用洛伦兹力式磁轴承,其承载力较小。残余不平衡量导致磁悬浮旋转关节无法达到悬浮控制精度。较大的残余不平衡甚至会超过磁轴承的最大承载力,导致出现转子碰到保护轴承的现象。因此,必须对磁悬浮旋转关节旋转部分进行高精度静平衡。The rotating part of the magnetic levitation rotary joint is a non-rotating body, and a variety of stand-alone equipment is installed on it, and its mass distribution cannot be accurately estimated and measured. At the same time, although the rotating speed of the magnetic levitation rotary joint is low, the mass and moment of inertia of the rotor part are extremely large, all of which will lead to a large residual imbalance of the magnetic levitation rotary joint. In order to improve the linearity of the magnetic bearing and remove the negative stiffness of the displacement, the magnetic levitation rotary joint adopts the Lorentz force magnetic bearing, which has a small bearing capacity. The residual unbalance causes the magnetic levitation rotary joint to fail to achieve the levitation control accuracy. Larger residual imbalances can even exceed the maximum load-carrying capacity of the magnetic bearing, resulting in the phenomenon that the rotor hits the protective bearing. Therefore, high-precision static balancing must be performed on the rotating part of the magnetic levitation rotary joint.

现有静不平衡测量方法主要是平衡机和重力测试法,不管离线、在线的平衡机需要转子有较高转速,而磁悬浮旋转关节转速较低,无法满足平衡机转速门槛要求;重力测试法,是将转子水平放置,使用试凑法完成静平衡配重。旋转关节在地面上难以水平放置,因此无法使用传统重力测试法。The existing static unbalance measurement methods are mainly balancing machines and gravity testing methods. Regardless of offline or online balancing machines, the rotor needs to have a higher speed, while the speed of the magnetic levitation rotary joint is relatively low, which cannot meet the speed threshold requirements of the balancing machine; the gravity testing method, It is to place the rotor horizontally and use the trial and error method to complete the static balance counterweight. Rotary joints are difficult to place horizontally on the ground, so traditional gravity testing methods cannot be used.

综上所述,磁悬浮旋转关节静不平衡量较大,严重影响系统控制精度,现有静平衡方法无法应用在磁悬浮旋转关节这种低转速、无法水平放置的旋转体上。To sum up, the static unbalance of the maglev rotary joint is large, which seriously affects the control accuracy of the system. The existing static balance method cannot be applied to the low-speed rotating body of the maglev rotary joint, which cannot be placed horizontally.

发明内容Contents of the invention

本发明解决的技术问题是:克服现有技术的不足,提供了一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,对传感器和磁轴承均在转子上的磁悬浮系统进行在线静平衡,可高效、高精度地实现低转速、无法水平放置的磁悬浮转子的静平衡。The technical problem solved by the present invention is: to overcome the deficiencies of the prior art, and to provide a static balancing system for a magnetic levitation rotor based on the calculation of the magnetic force of the magnetic bearing, to carry out online static balancing of the magnetic levitation system in which the sensor and the magnetic bearing are both on the rotor, which can be efficiently , Realize the static balance of the magnetic levitation rotor with low speed and cannot be placed horizontally with high precision.

本发明的技术解决方案是:一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,包括:The technical solution of the present invention is: a static balancing system for a magnetic levitation rotor based on magnetic calculation of magnetic bearings, comprising:

磁悬浮转子系统单元,用于悬浮不平衡转子;以及a magnetic levitation rotor system unit for levitating an unbalanced rotor; and

整圈旋转控制单元,用于控制不平衡转子绕其几何轴稳定旋转;以及a full turn rotation control unit for controlling the stable rotation of the unbalanced rotor about its geometric axis; and

特征电流提取单元,用于从磁悬浮转子系统所获取的绕组电流中提取特征电流;以及A characteristic current extraction unit, configured to extract a characteristic current from the winding current obtained by the magnetic levitation rotor system; and

静平衡配重解算单元,用于根据特征电流解算不平衡转子静平衡所需配重质量和配重角位置。The static balance counterweight calculation unit is used to calculate the counterweight mass and counterweight angular position required by the static balance of the unbalanced rotor according to the characteristic current.

进一步地,所述磁悬浮转子系统单元包括位移传感器、磁轴承驱动控制器、转子系统;Further, the magnetic levitation rotor system unit includes a displacement sensor, a magnetic bearing drive controller, and a rotor system;

所述磁轴承驱动控制器接收整圈旋转控制单元发送的起浮指令以及位移传感器的输出信号,计算控制量并进行功率放大,给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流;同时采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流ibv传送给特征电流提取单元;The magnetic bearing drive controller receives the floating command sent by the full-turn rotation control unit and the output signal of the displacement sensor, calculates the control amount and performs power amplification, and supplies the magnetic bearing winding Au, winding Av, winding Bu, and winding Bv of the rotor system Provide current; simultaneously collect magnetic bearing winding Au current i au , winding Av current i av , winding Bu current i bu , winding Bv current i bv and send them to the characteristic current extraction unit;

所述位移传感器,用于检测转子系统的不平衡转子位置,与参考位置做差送入磁轴承驱动控制器中;The displacement sensor is used to detect the unbalanced rotor position of the rotor system, and the difference from the reference position is sent to the magnetic bearing drive controller;

所述转子系统单元,包含不平衡转子、平衡盘A、磁轴承A、磁轴承B、平衡盘B;平衡盘A、磁轴承A、磁轴承B、平衡盘B固定在不平衡转子上,沿不平衡转子轴向放置;磁轴承A包含磁极Au、绕组Au、磁极Av、绕组Av,磁轴承B包含磁极Bu、绕组Bu、磁极Bv、绕组Bv;磁轴承A和磁轴承B产生电磁力施加于不平衡转子,使不平衡转子悬浮到参考位置;所述平衡盘A放置配重质量ma,所述平衡盘B放置配重质量mb,用以实现不平衡转子的静平衡配重。The rotor system unit includes an unbalanced rotor, a balance plate A, a magnetic bearing A, a magnetic bearing B, and a balance plate B; the balance plate A, the magnetic bearing A, the magnetic bearing B, and the balance plate B are fixed on the unbalanced rotor, along the The unbalanced rotor is placed axially; magnetic bearing A includes magnetic pole Au, winding Au, magnetic pole Av, and winding Av; magnetic bearing B includes magnetic pole Bu, winding Bu, magnetic pole Bv, and winding Bv; magnetic bearing A and magnetic bearing B generate electromagnetic force For the unbalanced rotor, the unbalanced rotor is suspended to a reference position; the balance plate A places the counterweight mass ma , and the balance plate B places the counterweight mass m b to realize the static balance counterweight of the unbalanced rotor.

进一步地,磁悬浮转子系统单元的静止坐标系O(x,y)和转子固连坐标系O(u,v)的确定如下:设不平衡转子几何中心轴为O,从O到磁极Au中心为转子固连坐标系Ou方向,从O到磁极Av中心为转子固连坐标系Ov方向,Ov方向为Ou方向逆时针旋转90°;旋转不平衡转子使其达到特征角位置,此时静止坐标系O(x,y)的Ox方向与转子固连坐标系O(u,v)的Ou方向重合,静止坐标系O(x,y)的Oy方向与转子固连坐标系O(u,v)的Ov方向重合。Further, the static coordinate system O(x,y) of the maglev rotor system unit and the fixed rotor coordinate system O(u,v) are determined as follows: Let the geometric center axis of the unbalanced rotor be O, and the distance from O to the center of the magnetic pole Au is The direction of the fixed rotor coordinate system Ou, from O to the center of the magnetic pole Av is the direction of the rotor fixed coordinate system Ov, and the Ov direction is the counterclockwise rotation of 90° in the direction of Ou; the unbalanced rotor is rotated to make it reach the characteristic angular position, and the stationary coordinate system at this time The Ox direction of O(x,y) coincides with the Ou direction of the rotor fixed coordinate system O(u,v), and the Oy direction of the stationary coordinate system O(x,y) coincides with the rotor fixed coordinate system O(u,v) The Ov direction coincides.

进一步地,磁轴承驱动控制器计算控制量,包括:Further, the magnetic bearing drive controller calculates the control quantity, including:

对控制误差进行积分处理得到积分控制量,用以消除静差,实现不平衡转子绕其几何轴旋转;Integrate the control error to obtain the integral control quantity, which is used to eliminate the static error and realize the rotation of the unbalanced rotor around its geometric axis;

对控制误差进行放大处理得到比例控制量,用以提供支承刚度;Amplify the control error to obtain the proportional control amount, which is used to provide the support stiffness;

对控制误差进行差分处理得到差分控制量,用以提供支承阻尼;Differential processing is performed on the control error to obtain the differential control value, which is used to provide support damping;

积分控制量、比例控制量和差分控制量加权相加即为磁轴承驱动控制器计算得到的控制量,经过功率放大给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流。The weighted addition of the integral control quantity, proportional control quantity and differential control quantity is the control quantity calculated by the magnetic bearing drive controller, which provides current to the magnetic bearing winding Au, winding Av, winding Bu and winding Bv of the rotor system through power amplification.

进一步地,所述整圈旋转控制单元,首先给磁悬浮转子系统单元发送起浮指令;然后控制磁悬浮转子系统单元中不平衡转子以转速ω稳速旋转;待转速稳定后,给特征电流提取单元发送静平衡计算起始指令,并在旋转t秒后发送静平衡计算结束指令;其中,t为不平衡转子旋转M圈整周期所需时间,t=2πM/ω。Further, the full-circle rotation control unit first sends a floating command to the maglev rotor system unit; then controls the unbalanced rotor in the maglev rotor system unit to rotate at a stable speed of speed ω; after the speed is stable, sends a command to the characteristic current extraction unit Static balance calculation start command, and send static balance calculation end command after t seconds of rotation; where, t is the time required for the unbalanced rotor to rotate M complete cycle, t=2πM/ω.

进一步地,所述特征电流提取单元,接收整圈旋转控制单元发送的静平衡计算起始指令,累加计数器n从零开始计数,采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流iav并进行累加运算;Further, the characteristic current extraction unit receives the initial static balance calculation instruction sent by the full-turn rotation control unit, and the accumulative counter n starts counting from zero to collect the current i au of the magnetic bearing winding Au, the current i av of the winding Av, and the current i av of the winding Bu Current i bu , winding Bv current i av and cumulative operation;

Figure BDA0003876020080000031
Figure BDA0003876020080000031

接收整圈旋转控制单元发送的静平衡计算结束指令,此时累加计数器n计数到N,计算各绕组电流在转子固连坐标系Ou、Ov方向上的分量,为:Receive the static balance calculation end command sent by the full-circle rotation control unit, at this time the accumulative counter n counts to N, and calculate the components of each winding current in the direction of the fixed rotor coordinate system Ou and Ov, which is:

Figure BDA0003876020080000041
Figure BDA0003876020080000041

其中,N=t/T为累加时长,T为伺服周期时间,t为不平衡转子旋转M圈整周期时间。Wherein, N=t/T is the accumulative duration, T is the servo cycle time, and t is the full cycle time of the unbalanced rotor rotating M circles.

进一步地,所述静平衡配重解算单元包括静平衡配重成分计算模块、静平衡配重质量计算模块和静平衡配重角位置计算模块;Further, the static balance counterweight calculation unit includes a static balance counterweight component calculation module, a static balance counterweight mass calculation module, and a static balance counterweight angular position calculation module;

静平衡配重成分计算模块根据特征电流提取单元所得结果解算静平衡配重在转子固连坐标系Ou、Ov方向上的分量,结果为:The static balance counterweight component calculation module calculates the components of the static balance counterweight in the Ou and Ov directions of the fixed rotor coordinate system according to the results obtained by the characteristic current extraction unit, and the result is:

Figure BDA0003876020080000042
Figure BDA0003876020080000042

其中,ma为平衡盘A所需校正质量,mb为平衡盘B所需校正质量,mau为ma在转子固连坐标系Ou方向上的分量,mav为ma在转子固连坐标系Ov方向上的分量,mbu为mb在转子固连坐标系Ou方向上的分量,mbv为mb在转子固连坐标系Ov方向上的分量;ra、rb为平衡盘A、B上的校正质量到转轴的距离,kia、kib分别为磁轴承A和磁轴承B的电流刚度;Lmta为ma到不平衡转子质心的轴向距离,Lmtb为mb到不平衡转子质心的轴向距离,L为平衡盘A到平衡盘B的轴向距离,L2为磁轴承A到磁轴承B的轴向距离,g为重力加速度常数;Among them, ma is the correction mass required by the balance plate A, m b is the correction mass required by the balance plate B, ma au is the component of ma a in the direction of the rotor fixed coordinate system Ou, and ma av is the component of ma a in the fixed rotor coordinate system The component in the Ov direction of the coordinate system, m bu is the component of m b in the Ou direction of the fixed rotor coordinate system, and m bv is the component of m b in the Ov direction of the rotor fixed coordinate system; r a and r b are the balance discs The distance from the calibration mass on A and B to the rotating shaft, k ia and k ib are the current stiffnesses of magnetic bearing A and magnetic bearing B respectively; L mta is the axial distance from ma to the center of mass of the unbalanced rotor, and L mtb is m b The axial distance to the center of mass of the unbalanced rotor, L is the axial distance from balance disk A to balance disk B, L2 is the axial distance from magnetic bearing A to magnetic bearing B, and g is the gravitational acceleration constant;

静平衡配重质量计算模块根据静平衡配重成分计算模块所得的结果计算平衡盘A所需配重质量ma、平衡盘B所需配重质量mb,分别为:The mass calculation module of the static balance counterweight calculates the mass ma of the counterweight required by the balance plate A and the mass m b of the counterweight required by the balance plate B according to the results obtained by the component calculation module of the static balance counterweight, respectively:

Figure BDA0003876020080000051
Figure BDA0003876020080000051

静平衡配重角位置计算模块根据静平衡配重成分计算模块所得的结果解算平衡盘A所需配重质量的角位置

Figure BDA0003876020080000052
平衡盘B所需配重质量的角位置
Figure BDA0003876020080000053
分别为:The static balance counterweight angular position calculation module calculates the angular position of the counterweight mass required by the balance plate A according to the results obtained by the static balance counterweight component calculation module
Figure BDA0003876020080000052
The angular position of the counterweight mass required for the balance plate B
Figure BDA0003876020080000053
They are:

Figure BDA0003876020080000054
Figure BDA0003876020080000054

根据所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统实现的磁悬浮转子静平衡方法,包括:According to the magnetic levitation rotor static balancing method realized by the magnetic levitation rotor static balancing system based on the magnetic force calculation of the magnetic bearing, it includes:

控制不平衡转子悬浮;Control unbalanced rotor suspension;

控制不平衡转子绕其几何轴稳定旋转;Control the unbalanced rotor to rotate stably around its geometric axis;

获取不平衡转子的绕组电流;Obtain the winding current of the unbalanced rotor;

从绕组电流中提取特征电流成分;Extract the characteristic current component from the winding current;

根据特征电流成分解算不平衡转子所需配重质量。According to the characteristic current components, the counterweight mass required by the unbalanced rotor is calculated.

一种计算机可读存储介质,所述的计算机可读存储介质存储有计算机程序,所述的计算机程序被处理器执行时实现所述一种基于磁轴承磁力推算的磁悬浮转子静平衡方法的步骤。A computer-readable storage medium, the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the static balancing method for a magnetic levitation rotor based on magnetic bearing magnetic calculation are implemented.

一种基于磁轴承磁力推算的磁悬浮转子静平衡设备,包括存储器、处理器以及存储在所述存储器中并可在所述处理器上运行的计算机程序,所述的处理器执行所述的计算机程序时实现所述一种基于磁轴承磁力推算的磁悬浮转子静平衡方法的步骤。A static balancing device for a magnetic levitation rotor based on magnetic calculation of magnetic bearings, comprising a memory, a processor, and a computer program stored in the memory and operable on the processor, and the processor executes the computer program The step of realizing the static balancing method of the magnetic levitation rotor based on the calculation of the magnetic force of the magnetic bearing.

本发明与现有技术相比的优点在于:The advantage of the present invention compared with prior art is:

(1)本发明在地面实验阶段无需旋转关节水平放置,对磁悬浮转子进行力/力矩平衡分析,使用径向磁轴承绕组电流高精度解算静平衡配重,提高了静平衡精度。(1) In the ground experiment stage, the present invention does not need to place the rotating joint horizontally, conducts force/torque balance analysis on the magnetic levitation rotor, uses the radial magnetic bearing winding current to solve the static balance counterweight with high precision, and improves the static balance accuracy.

(2)本发明使用磁悬浮旋转关节自身所带磁轴承/位置传感器作为静平衡配重解算装置,不需要布置额外的检测传感器,提高了工作效率。(2) The present invention uses the magnetic bearing/position sensor of the magnetic levitation rotary joint itself as the static balance counterweight calculation device, and does not need to arrange additional detection sensors, thereby improving work efficiency.

附图说明Description of drawings

图1为一种基于磁轴承磁力推算的磁悬浮转子静平衡系统框图;Fig. 1 is a block diagram of a static balancing system for a magnetic levitation rotor based on the calculation of the magnetic force of the magnetic bearing;

图2为磁悬浮转子系统结构图;Figure 2 is a structural diagram of the magnetic levitation rotor system;

图3为静止坐标系O(x,y)和转子固连坐标系O(u,v)的示意图;Fig. 3 is a schematic diagram of the stationary coordinate system O(x,y) and the fixed rotor coordinate system O(u,v);

图4为磁悬浮转子静不平衡及配重受力示意图;Figure 4 is a schematic diagram of the static unbalance of the magnetic levitation rotor and the force of the counterweight;

图5为特征电流提取单元框图;Fig. 5 is a block diagram of a characteristic current extraction unit;

图6为静平衡配重解算单元框图。Figure 6 is a block diagram of the static balance counterweight calculation unit.

具体实施方式Detailed ways

为了更好的理解上述技术方案,下面通过附图以及具体实施例对本申请技术方案做详细的说明,应当理解本申请实施例以及实施例中的具体特征是对本申请技术方案的详细的说明,而不是对本申请技术方案的限定,在不冲突的情况下,本申请实施例以及实施例中的技术特征可以相互组合。In order to better understand the above technical solutions, the technical solutions of the present application will be described in detail below through the accompanying drawings and specific examples. It should be understood that the embodiments of the present application and the specific features in the examples are detailed descriptions of the technical solutions of the present application, and It is not a limitation to the technical solutions of the present application, and the embodiments of the present application and the technical features in the embodiments can be combined without conflict.

以下结合说明书附图对本申请实施例所提供的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统做进一步详细的说明,具体实现方式可以包括(如图1~图6所示):磁悬浮转子系统单元,用于悬浮不平衡转子;以及整圈旋转控制单元,用于控制不平衡转子绕其几何轴稳定旋转;以及特征电流提取单元,用于从磁悬浮转子系统所获取的绕组电流中提取特征电流;以及静平衡配重解算单元,用于根据特征电流解算不平衡转子静平衡所需配重质量和配重角位置。The following is a further detailed description of a static balancing system for a magnetic levitation rotor based on magnetic calculation of magnetic bearings provided by the embodiment of the present application in conjunction with the drawings of the description. The specific implementation methods may include (as shown in Figures 1 to 6): The unit is used to suspend the unbalanced rotor; and the full-turn rotation control unit is used to control the unbalanced rotor to rotate stably around its geometric axis; and the characteristic current extraction unit is used to extract the characteristic current from the winding current obtained by the magnetic levitation rotor system ; and a static balance counterweight calculation unit, which is used to calculate the counterweight mass and counterweight angular position required by the static balance of the unbalanced rotor according to the characteristic current.

在本申请实施例所提供的方案中,一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,主要包括磁悬浮转子系统单元、整圈旋转控制单元、特征电流提取单元和静平衡配重解算单元。磁悬浮旋转关节的位置传感器和磁轴承均在转子上,传感器检测到的不平衡转子几何中心偏心值是直流量,磁轴承施加给不平衡转子的控制力也是直流量,在低转速下绕不平衡转子几何中心匀速旋转,由转子静不平衡(质心偏移)产生的重力力矩和磁轴承直流电磁力对转子的作用力矩形成力矩平衡。使用双平面法配平转子,由两端平衡面上的配重质量产生的重力力矩之和与磁轴承直流电磁力对转子的作用力矩形成力矩平衡,两端平衡面上的配重质量产生离心力矩也形成力矩平衡,根据如上用力/力矩平衡关系即可解静不平衡配重质量。In the solution provided by the embodiment of the present application, a static balance system of a magnetic levitation rotor based on the calculation of the magnetic force of the magnetic bearing mainly includes a magnetic levitation rotor system unit, a full-turn rotation control unit, a characteristic current extraction unit, and a static balance counterweight calculation unit . Both the position sensor and the magnetic bearing of the magnetic levitation rotary joint are on the rotor. The eccentric value of the geometric center of the unbalanced rotor detected by the sensor is a DC flow, and the control force applied by the magnetic bearing to the unbalanced rotor is also a DC flow. The geometric center of the rotor rotates at a constant speed, and the gravitational moment generated by the static unbalance of the rotor (center of mass offset) and the DC electromagnetic force of the magnetic bearing on the rotor form a rectangular torque balance. Using the double-plane method to balance the rotor, the sum of the gravitational moment generated by the counterweights on the balance surfaces at both ends and the DC electromagnetic force of the magnetic bearing on the rotor form a torque balance, and the centrifugal moment generated by the counterweights on the balance surfaces at both ends is also To form a moment balance, according to the force/torque balance relationship above, the mass of the static unbalanced counterweight can be resolved.

1、一种基于磁轴承磁力推算的磁悬浮转子静平衡系统1. A static balancing system for a magnetic levitation rotor based on magnetic calculation of magnetic bearings

如图1所示,本发明主要包括磁悬浮转子系统单元1、整圈旋转控制单元2、特征电流提取单元3、静平衡配重解算单元4;其中,磁悬浮转子系统单元1悬浮不平衡转子,整圈旋转控制单元2控制不平衡转子其几何轴稳定旋转。特征电流提取单元3从磁悬浮转子系统单元2所获取的绕组电流中提取特征电流。静平衡配重解算单元4根据特征电流提取单元所得特性电流解算磁悬浮转子静平衡所需配重质量和配重角位置。As shown in Figure 1, the present invention mainly includes a magnetic levitation rotor system unit 1, a complete rotation control unit 2, a characteristic current extraction unit 3, and a static balance counterweight calculation unit 4; wherein, the magnetic levitation rotor system unit 1 suspends an unbalanced rotor, The full turn rotation control unit 2 controls the geometric axis of the unbalanced rotor to rotate stably. The characteristic current extraction unit 3 extracts the characteristic current from the winding current obtained by the maglev rotor system unit 2 . The static balance counterweight calculating unit 4 calculates the mass and angular position of the counterweight required by the static balance of the magnetic levitation rotor according to the characteristic current obtained by the characteristic current extraction unit.

2、磁悬浮转子系统单元2. Magnetic levitation rotor system unit

磁悬浮转子系统单元包括位移传感器、磁轴承驱动控制器、转子系统;所述磁轴承驱动控制器接收整圈旋转控制单元发送的起浮指令以及位移传感器的输出信号,计算控制量并进行功率放大,给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流;同时采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流ibv传送给特征电流提取单元;所述位移传感器,用于检测转子系统的不平衡转子位置,与参考位置做差送入磁轴承驱动控制器中;所述转子系统单元,包含不平衡转子、平衡盘A、磁轴承A、磁轴承B、平衡盘B;平衡盘A、磁轴承A、磁轴承B、平衡盘B固定在不平衡转子上,沿不平衡转子轴向放置;磁轴承A包含磁极Au、绕组Au、磁极Av、绕组Av,磁轴承B包含磁极Bu、绕组Bu、磁极Bv、绕组Bv;磁轴承A和磁轴承B产生电磁力施加于不平衡转子,使不平衡转子悬浮到参考位置;所述平衡盘A放置配重质量ma,所述平衡盘B放置配重质量mb,用以实现不平衡转子的静平衡配重。The magnetic levitation rotor system unit includes a displacement sensor, a magnetic bearing drive controller, and a rotor system; the magnetic bearing drive controller receives the floating command sent by the full-circle rotation control unit and the output signal of the displacement sensor, calculates the control amount and performs power amplification, Provide current to the magnetic bearing winding Au, winding Av, winding Bu, winding Bv of the rotor system; at the same time collect the magnetic bearing winding Au current i au , winding Av current i av , winding Bu current i bu , winding Bv current i bv and send them to the characteristic The current extraction unit; the displacement sensor is used to detect the unbalanced rotor position of the rotor system, and the difference from the reference position is sent to the magnetic bearing drive controller; the rotor system unit includes an unbalanced rotor, a balance disk A, a magnetic Bearing A, magnetic bearing B, and balance disc B; balance disc A, magnetic bearing A, magnetic bearing B, and balance disc B are fixed on the unbalanced rotor and placed along the axial direction of the unbalanced rotor; magnetic bearing A includes magnetic poles Au and windings Au , magnetic pole Av, winding Av, magnetic bearing B includes magnetic pole Bu, winding Bu, magnetic pole Bv, and winding Bv; magnetic bearing A and magnetic bearing B generate electromagnetic force and apply it to the unbalanced rotor, so that the unbalanced rotor is suspended to the reference position; The balance plate A places the counterweight mass ma , and the balance plate B places the counterweight mass m b to realize the static balance counterweight of the unbalanced rotor.

具体的,如图2所示,为本发明所述磁悬浮转子系统单元,包含:位移传感器、磁轴承驱动控制器、转子系统,磁轴承驱动控制器接收整圈旋转控制单元发送起浮指令,位移传感器检测转子系统的不平衡转子位置,与参考位置做差送入磁轴承驱动控制器中,计算得到控制量并进行功率放大,给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流。转子系统的磁轴承A和磁轴承B产生电磁力施加于不平衡转子,使不平衡转子悬浮到参考位置。磁轴承驱动控制器采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流ibv传送给特征电流提取单元。Specifically, as shown in Figure 2, it is the magnetic levitation rotor system unit of the present invention, including: a displacement sensor, a magnetic bearing drive controller, and a rotor system. The sensor detects the unbalanced rotor position of the rotor system, and the difference from the reference position is sent to the magnetic bearing drive controller, and the control value is calculated and amplified to provide the magnetic bearing winding Au, winding Av, winding Bu, and winding Bv of the rotor system supply current. The magnetic bearing A and magnetic bearing B of the rotor system generate electromagnetic force to apply to the unbalanced rotor, so that the unbalanced rotor is suspended to the reference position. The magnetic bearing drive controller collects the current i au of the magnetic bearing winding Au, the current i av of the winding Av, the current i bu of the winding Bu , and the current i bv of the winding Bv, and transmits them to the characteristic current extraction unit.

具体的,磁轴承驱动控制器计算控制量,包括:Specifically, the magnetic bearing drive controller calculates the control quantity, including:

对控制误差进行积分处理得到积分控制量,用以消除静差,实现不平衡转子绕其几何轴旋转;Integrate the control error to obtain the integral control quantity, which is used to eliminate the static error and realize the rotation of the unbalanced rotor around its geometric axis;

对控制误差进行放大处理得到比例控制量,用以提供支承刚度;Amplify the control error to obtain the proportional control amount, which is used to provide the support stiffness;

对控制误差进行差分处理得到差分控制量,用以提供支承阻尼;Differential processing is performed on the control error to obtain the differential control value, which is used to provide support damping;

积分控制量、比例控制量和差分控制量加权相加即为磁轴承驱动控制器计算得到的控制量,经过功率放大给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流。The weighted addition of the integral control quantity, proportional control quantity and differential control quantity is the control quantity calculated by the magnetic bearing drive controller, which provides current to the magnetic bearing winding Au, winding Av, winding Bu and winding Bv of the rotor system through power amplification.

3、静止坐标系O(x,y)和转子固连坐标系O(u,v)定义3. Definition of stationary coordinate system O(x,y) and fixed rotor coordinate system O(u,v)

本发明所述转子系统单元,包含不平衡转子、平衡盘A、磁轴承A、磁轴承B、平衡盘B,磁轴承A包含磁极Au、绕组Au、磁极Av、绕组Av,磁轴承B包含磁极Bu、绕组Bu、磁极Bv、绕组Bv。The rotor system unit of the present invention includes an unbalanced rotor, a balance disk A, a magnetic bearing A, a magnetic bearing B, and a balance disk B. The magnetic bearing A includes a magnetic pole Au, a winding Au, a magnetic pole Av, and a winding Av, and the magnetic bearing B includes a magnetic pole. Bu, winding Bu, magnetic pole Bv, winding Bv.

如图3所示,为本发明所述的基于磁轴承磁力推算的磁悬浮转子静平衡系统的静止坐标系O(x,y)和转子固连坐标系O(u,v)的示意图。转子系统的静止坐标系O(x,y)和转子固连坐标系O(u,v)的确定如下:设转子几何中心轴为O,从O到磁极Au中心为转子固连坐标系Ou方向,从O到磁极Av中心为转子固连坐标系Ov方向,Ov方向为Ou方向逆时针旋转90°;旋转不平衡转子使其达到特征角位置(角位置传感器输出为零的角位置),此时静止坐标系O(x,y)的Ox方向与转子固连坐标系O(u,v)的Ou方向重合,静止坐标系O(x,y)的Oy方向与转子固连坐标系O(u,v)的Ov方向重合。As shown in FIG. 3 , it is a schematic diagram of the static coordinate system O(x, y) and the fixed rotor coordinate system O(u,v) of the static balance system of the magnetic levitation rotor based on the magnetic calculation of the magnetic bearing according to the present invention. The static coordinate system O(x, y) and the fixed rotor coordinate system O(u, v) of the rotor system are determined as follows: Let the geometric center axis of the rotor be O, and the direction from O to the center of the magnetic pole Au is the fixed rotor coordinate system Ou , from O to the center of the magnetic pole Av is the Ov direction of the fixed rotor coordinate system, and the Ov direction is the counterclockwise rotation of 90° in the Ou direction; rotate the unbalanced rotor to make it reach the characteristic angular position (the angular position at which the angular position sensor output is zero), this When the Ox direction of the stationary coordinate system O(x,y) coincides with the Ou direction of the rotor fixed coordinate system O(u,v), the Oy direction of the static coordinate system O(x,y) coincides with the rotor fixed coordinate system O( The Ov direction of u, v) coincides.

4、磁悬浮转子静不平衡及配重受力示意图4. Schematic diagram of the static unbalance of the maglev rotor and the force of the counterweight

如图4所示,为本发明所述的磁悬浮转子静不平衡及配重受力示意图。平衡盘A、磁轴承A、平衡盘B、磁轴承B之间的轴向距离为:L1、L2、L3,L1+L2+L3=L。平衡盘A、平衡盘B到质心的轴向距离分别为Lmta、Lmtb。磁轴承A、磁轴承B到质心的轴向距离分别为Lma、Lmb。平衡盘A、平衡盘B上的配重质量ma、mb到转轴的轴向距离分别为ra、rb。不平衡转子质心偏心距为em。转子系统的重力为Gm。平衡盘A上的配重质量ma的重力为Gma,平衡盘B上的配重质量mb的重力为GmbAs shown in FIG. 4 , it is a schematic diagram of static unbalance and counterweight force of the magnetic levitation rotor according to the present invention. The axial distance between the balance plate A, the magnetic bearing A, the balance plate B, and the magnetic bearing B is: L 1 , L 2 , L 3 , where L 1 +L 2 +L 3 =L. The axial distances from balance disk A and balance disk B to the centroid are L mta and L mtb respectively. The axial distances from the magnetic bearing A, the magnetic bearing B to the centroid are L ma and L mb respectively. The axial distances from the counterweight masses ma and m b on the balance disc A and the balance disc B to the rotating shaft are r a and r b respectively. The eccentricity of the center of mass of the unbalanced rotor is e m . The gravity of the rotor system is G m . The gravity of the counterweight mass ma on the balance plate A is G ma , and the gravity of the counterweight mass m b on the balance plate B is G mb .

A、B端磁轴承磁力力平衡方程为:The balance equation of the magnetic force of the A and B-side magnetic bearings is:

Fma+Fmb=0F ma +F mb =0

A、B端磁轴承磁力Fma、Fmb对不平衡转子的作用力矩和重力Gm质心偏心力矩的平衡方程为:The balance equation of the acting torque of the magnetic bearings F ma and F mb on the unbalanced rotor and the gravity G m of the magnetic bearings at the A and B ends is:

Fma×Lma-Fmb×Lmb=Gm×em F ma ×L ma -F mb ×L mb = G m ×e m

A、B端磁轴承磁力Fma、Fmb对转子的作用力矩和A、B端配重质量ma、mb重力力矩的平衡方程为:The balance equations of the moment acting on the rotor by the magnetic force F ma and F mb of the magnetic bearing at the A and B ends and the counterweight mass ma and m b of the A and B ends are:

Fma×Lma-Fmb×Lmb=ma×g×ra-mb×g×rb F ma ×L ma -F mb ×L mb =m a ×g×r a -m b ×g×r b

A、B端配重质量ma、mb的离心力矩的平衡方程为:The equilibrium equation of the centrifugal moment of the counterweight masses ma and m b at the ends of A and B is:

ma×ra×Lmta+mb×rb×Lmtb=0m a ×r a ×L mta +m b ×r b ×L mtb =0

A、B端平衡盘到不平衡转子质心的轴向距离之和满足The sum of the axial distances from the balance discs at A and B ends to the center of mass of the unbalanced rotor satisfies

Lmta+Lmtb=LL mta +L mtb = L

A、B端磁轴承到不平衡转子质心的轴向距离之和满足The sum of the axial distances from the A and B-side magnetic bearings to the center of mass of the unbalanced rotor satisfies

Lma+Lmb=L2 L ma +L mb =L 2

A、B端磁轴承磁力Fma、Fmb满足如下方程The magnetic forces F ma and F mb of the magnetic bearings at the A and B ends satisfy the following equations

Fma=kiaiau+kiaiav F ma =k ia i au +k ia i av

Fmb=kibibu+kibibv F mb =k ib i bu +k ib i bv

其中,kia、kib分别为磁轴承A和磁轴承B的电流刚度,iau为磁轴承绕组Au电流、iav为磁轴承绕组Av电流、ibu为磁轴承绕组Bu电流、iav为磁轴承绕组Bv电流。Among them, k ia and k ib are the current stiffnesses of magnetic bearing A and magnetic bearing B respectively, i au is the Au current of the magnetic bearing winding, i av is the Av current of the magnetic bearing winding, i bu is the Bu current of the magnetic bearing winding, and i av is Magnetic bearing winding Bv current.

5、特征电流提取单元5. Feature current extraction unit

如图5所示,为本发明所述的特征电流提取单元4的流程图,所述特征电流提取单元,接收整圈旋转控制单元发送的静平衡计算起始指令,计数器n从零开始累加,采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流iav并进行累加运算。As shown in FIG. 5 , it is a flow chart of the characteristic current extraction unit 4 according to the present invention. The characteristic current extraction unit receives the static balance calculation initial instruction sent by the full-circle rotation control unit, and the counter n starts to accumulate from zero. The magnetic bearing winding Au current i au , winding Av current i av , winding Bu current i bu , and winding Bv current i av are collected and accumulated.

Figure BDA0003876020080000101
Figure BDA0003876020080000101

接收整圈旋转控制单元发送的静平衡计算结束指令,计数器n计数到N(N=t/T为累加时长,T为伺服周期时间,t为转子旋转M圈整周期时间),计算绕组电流在转子固连坐标系Ou、Ov方向上的分量,为:Receive the static balance calculation end instruction sent by the full-turn rotation control unit, the counter n counts to N (N=t/T is the accumulation time, T is the servo cycle time, t is the entire cycle time of the rotor rotation M circles), and the winding current is calculated. The components in the direction of Ou and Ov of the fixed rotor coordinate system are:

Figure BDA0003876020080000102
Figure BDA0003876020080000102

6、静平衡配重解算单元6. Calculation unit of static balance counterweight

如图6所示,为本发明所述的静平衡配重解算单元4的结构框图,静平衡配重解算单元,包括静平衡配重成分计算模块41、静平衡配重质量计算模块42和静平衡配重角位置计算模块43。As shown in Figure 6, it is a structural block diagram of the static balance counterweight calculation unit 4 according to the present invention. The static balance counterweight calculation unit includes a static balance counterweight component calculation module 41 and a static balance counterweight mass calculation module 42. And static balance counterweight angular position calculation module 43.

静平衡配重成分计算模块41根据特征电流提取单元3所得结果解算静平衡配重在转子固连坐标系Ou、Ov方向上的分量,结果为:The static balance counterweight component calculation module 41 solves the components of the static balance counterweight in the direction of Ou and Ov of the fixed rotor coordinate system according to the result obtained by the characteristic current extraction unit 3, and the result is:

Figure BDA0003876020080000111
Figure BDA0003876020080000111

其中,ma为平衡盘A所需校正质量,mb为平衡盘B所需校正质量,mau为ma在转子固连坐标系Ou方向上的分量,mav为ma在转子固连坐标系Ov方向上的分量,mbu为mb在转子固连坐标系Ou方向上的分量,mbv为mb在转子固连坐标系Ov方向上的分量;ra、rb为平衡盘A、B上的校正质量到转轴的距离,kia、kib分别为磁轴承A和磁轴承B的电流刚度。Lmta、Lmtb分别为ma和mb到不平衡转子质心的轴向距离,L为平衡盘A到平衡盘B的轴向距离,L2磁轴承A到磁轴承B的轴向距离,g为重力加速度常数。Among them, ma is the correction mass required by the balance plate A, m b is the correction mass required by the balance plate B, ma au is the component of ma a in the direction of the rotor fixed coordinate system Ou, and ma av is the component of ma a in the fixed rotor coordinate system The component in the Ov direction of the coordinate system, m bu is the component of m b in the Ou direction of the fixed rotor coordinate system, and m bv is the component of m b in the Ov direction of the rotor fixed coordinate system; r a and r b are the balance discs The distances from the calibration mass on A and B to the rotating shaft, k ia and k ib are the current stiffnesses of magnetic bearing A and magnetic bearing B respectively. L mta and L mtb are the axial distances from ma and m b to the center of mass of the unbalanced rotor respectively, L is the axial distance from balance disk A to balance disk B, L 2 is the axial distance from magnetic bearing A to magnetic bearing B, g is the gravitational acceleration constant.

静平衡配重质量计算模块42根据静平衡配重成分计算模块41所得的结果计算平衡盘A所需配重质量ma、平衡盘B所需配重质量mb,分别为:The static balance counterweight mass calculation module 42 calculates the counterweight mass ma required by the balance disc A and the counterweight mass m b required by the balance disc B according to the results obtained by the static balance counterweight component calculation module 41, which are respectively:

Figure BDA0003876020080000112
Figure BDA0003876020080000112

静平衡配重角位置计算模块43根据静平衡配重成分计算模块41所得的结果解算平衡盘A所需配重质量的角位置

Figure BDA0003876020080000113
平衡盘B所需配重质量的角位置
Figure BDA0003876020080000114
分别为:The static balance counterweight angular position calculation module 43 calculates the angular position of the counterweight mass required by the balance plate A according to the results obtained by the static balance counterweight component calculation module 41
Figure BDA0003876020080000113
The angular position of the counterweight mass required for the balance plate B
Figure BDA0003876020080000114
They are:

Figure BDA0003876020080000115
Figure BDA0003876020080000115

整圈旋转控制单元,首先给磁悬浮转子系统单元发送起浮指令;然后控制磁悬浮转子系统单元中不平衡转子以转速ω稳速旋转;待转速稳定后,给特征电流提取单元发送静平衡计算起始指令,并在旋转t秒后发送静平衡计算结束指令;其中,t为不平衡转子旋转M圈整周期所需时间,t=2πM/ω。The full-circle rotation control unit first sends a floating command to the maglev rotor system unit; then controls the unbalanced rotor in the maglev rotor system unit to rotate at a steady speed of speed ω; after the speed is stable, it sends the static balance calculation start to the characteristic current extraction unit command, and send the command to end the static balance calculation after rotating for t seconds; where, t is the time required for the unbalanced rotor to rotate M circles, t=2πM/ω.

基于与图1相同的发明构思,本发明还提供一种根据所述的基于磁轴承磁力推算的磁悬浮转子静平衡系统实现的磁悬浮转子静平衡方法,包括:Based on the same inventive concept as that in Fig. 1, the present invention also provides a static balancing method for a magnetically suspended rotor based on the static balancing system of the magnetically suspended rotor based on the calculation of the magnetic force of the magnetic bearing, including:

控制不平衡转子悬浮;Control unbalanced rotor suspension;

控制不平衡转子绕其几何轴稳定旋转;Control the unbalanced rotor to rotate stably around its geometric axis;

获取不平衡转子的绕组电流;Obtain the winding current of the unbalanced rotor;

从绕组电流中提取特征电流成分;Extract the characteristic current component from the winding current;

根据特征电流成分解算不平衡转子所需配重质量。According to the characteristic current components, the counterweight mass required by the unbalanced rotor is calculated.

本申请提供一种计算机可读存储介质,所述计算机可读存储介质存储有计算机指令,当所述计算机指令在计算机上运行时,使得计算机执行图1所述的方法。The present application provides a computer-readable storage medium, the computer-readable storage medium stores computer instructions, and when the computer instructions are run on a computer, the computer is made to execute the method described in FIG. 1 .

本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器和光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage and optical storage, etc.) having computer-usable program code embodied therein.

本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to flowcharts and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the present application. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.

这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.

这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.

显然,本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样,倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the application without departing from the spirit and scope of the application. In this way, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these modifications and variations.

本发明说明书中未作详细描述的内容属本领域技术人员的公知技术。The content that is not described in detail in the description of the present invention belongs to the well-known technology of those skilled in the art.

Claims (10)

1.一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,包括:1. A magnetic levitation rotor static balancing system based on magnetic calculation of magnetic bearings, characterized in that it comprises: 磁悬浮转子系统单元,用于悬浮不平衡转子;以及a magnetic levitation rotor system unit for levitating an unbalanced rotor; and 整圈旋转控制单元,用于控制不平衡转子绕其几何轴稳定旋转;以及a full turn rotation control unit for controlling the stable rotation of the unbalanced rotor about its geometric axis; and 特征电流提取单元,用于从磁悬浮转子系统所获取的绕组电流中提取特征电流;以及A characteristic current extraction unit, configured to extract a characteristic current from the winding current obtained by the magnetic levitation rotor system; and 静平衡配重解算单元,用于根据特征电流解算不平衡转子静平衡所需配重质量和配重角位置。The static balance counterweight calculation unit is used to calculate the counterweight mass and counterweight angular position required by the static balance of the unbalanced rotor according to the characteristic current. 2.根据权利要求1所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,所述磁悬浮转子系统单元包括位移传感器、磁轴承驱动控制器、转子系统;2. A magnetic levitation rotor static balancing system based on magnetic bearing magnetic calculation according to claim 1, wherein the magnetic levitation rotor system unit includes a displacement sensor, a magnetic bearing drive controller, and a rotor system; 所述磁轴承驱动控制器接收整圈旋转控制单元发送的起浮指令以及位移传感器的输出信号,计算控制量并进行功率放大,给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流;同时采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流ibv传送给特征电流提取单元;The magnetic bearing drive controller receives the floating command sent by the full-turn rotation control unit and the output signal of the displacement sensor, calculates the control amount and performs power amplification, and supplies the magnetic bearing winding Au, winding Av, winding Bu, and winding Bv of the rotor system Provide current; simultaneously collect magnetic bearing winding Au current i au , winding Av current i av , winding Bu current i bu , winding Bv current i bv and send them to the characteristic current extraction unit; 所述位移传感器,用于检测转子系统的不平衡转子位置,与参考位置做差送入磁轴承驱动控制器中;The displacement sensor is used to detect the unbalanced rotor position of the rotor system, and the difference from the reference position is sent to the magnetic bearing drive controller; 所述转子系统单元,包含不平衡转子、平衡盘A、磁轴承A、磁轴承B、平衡盘B;平衡盘A、磁轴承A、磁轴承B、平衡盘B固定在不平衡转子上,沿不平衡转子轴向放置;磁轴承A包含磁极Au、绕组Au、磁极Av、绕组Av,磁轴承B包含磁极Bu、绕组Bu、磁极Bv、绕组Bv;磁轴承A和磁轴承B产生电磁力施加于不平衡转子,使不平衡转子悬浮到参考位置;所述平衡盘A放置配重质量ma,所述平衡盘B放置配重质量mb,用以实现不平衡转子的静平衡配重。The rotor system unit includes an unbalanced rotor, a balance plate A, a magnetic bearing A, a magnetic bearing B, and a balance plate B; the balance plate A, the magnetic bearing A, the magnetic bearing B, and the balance plate B are fixed on the unbalanced rotor, along the The unbalanced rotor is placed axially; magnetic bearing A includes magnetic pole Au, winding Au, magnetic pole Av, and winding Av; magnetic bearing B includes magnetic pole Bu, winding Bu, magnetic pole Bv, and winding Bv; magnetic bearing A and magnetic bearing B generate electromagnetic force For the unbalanced rotor, the unbalanced rotor is suspended to a reference position; the balance plate A places the counterweight mass ma , and the balance plate B places the counterweight mass m b to realize the static balance counterweight of the unbalanced rotor. 3.根据权利要求2所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,磁悬浮转子系统单元的静止坐标系O(x,y)和转子固连坐标系O(u,v)的确定如下:设不平衡转子几何中心轴为O,从O到磁极Au中心为转子固连坐标系Ou方向,从O到磁极Av中心为转子固连坐标系Ov方向,Ov方向为Ou方向逆时针旋转90°;旋转不平衡转子使其达到特征角位置,此时静止坐标系O(x,y)的Ox方向与转子固连坐标系O(u,v)的Ou方向重合,静止坐标系O(x,y)的Oy方向与转子固连坐标系O(u,v)的Ov方向重合。3. A static balancing system for a magnetic levitation rotor based on magnetic calculation of magnetic bearings according to claim 2, wherein the static coordinate system O(x, y) of the magnetic levitation rotor system unit and the fixed rotor coordinate system O(u , v) is determined as follows: Let the geometric center axis of the unbalanced rotor be O, the direction from O to the center of the magnetic pole Au is the Ou direction of the rotor fixed coordinate system, and the direction from O to the center of the magnetic pole Av is the Ov direction of the rotor fixed coordinate system, and the Ov direction is Rotate 90° counterclockwise in the Ou direction; rotate the unbalanced rotor to reach the characteristic angular position, at this time the Ox direction of the stationary coordinate system O(x,y) coincides with the Ou direction of the rotor fixed coordinate system O(u,v), The Oy direction of the stationary coordinate system O(x,y) coincides with the Ov direction of the fixed rotor coordinate system O(u,v). 4.根据权利要求2所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,磁轴承驱动控制器计算控制量,包括:4. A static balancing system for a magnetic levitation rotor based on magnetic calculation of magnetic bearings according to claim 2, wherein the magnetic bearing drive controller calculates the control amount, including: 对控制误差进行积分处理得到积分控制量,用以消除静差,实现不平衡转子绕其几何轴旋转;Integrate the control error to obtain the integral control quantity, which is used to eliminate the static error and realize the rotation of the unbalanced rotor around its geometric axis; 对控制误差进行放大处理得到比例控制量,用以提供支承刚度;Amplify the control error to obtain the proportional control amount, which is used to provide the support stiffness; 对控制误差进行差分处理得到差分控制量,用以提供支承阻尼;Differential processing is performed on the control error to obtain the differential control value, which is used to provide support damping; 积分控制量、比例控制量和差分控制量加权相加即为磁轴承驱动控制器计算得到的控制量,经过功率放大给转子系统的磁轴承绕组Au、绕组Av、绕组Bu、绕组Bv提供电流。The weighted addition of the integral control quantity, proportional control quantity and differential control quantity is the control quantity calculated by the magnetic bearing drive controller, which provides current to the magnetic bearing winding Au, winding Av, winding Bu and winding Bv of the rotor system through power amplification. 5.根据权利要求2所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,所述整圈旋转控制单元,首先给磁悬浮转子系统单元发送起浮指令;然后控制磁悬浮转子系统单元中不平衡转子以转速ω稳速旋转;待转速稳定后,给特征电流提取单元发送静平衡计算起始指令,并在旋转t秒后发送静平衡计算结束指令;其中,t为不平衡转子旋转M圈整周期所需时间,t=2πM/ω。5. A static balancing system for a magnetic levitation rotor based on magnetic calculations of magnetic bearings according to claim 2, wherein the full-circle rotation control unit first sends a levitation instruction to the system unit of the magnetic levitation rotor; then controls the magnetic levitation rotor The unbalanced rotor in the system unit rotates at a steady speed of speed ω; after the speed is stable, the static balance calculation start command is sent to the characteristic current extraction unit, and the static balance calculation end command is sent after rotating for t seconds; where t is unbalanced The time required for the rotor to rotate M full cycle, t=2πM/ω. 6.根据权利要求2所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,所述特征电流提取单元,接收整圈旋转控制单元发送的静平衡计算起始指令,累加计数器n从零开始计数,采集磁轴承绕组Au电流iau、绕组Av电流iav、绕组Bu电流ibu、绕组Bv电流iav并进行累加运算;6. The static balancing system of a magnetic levitation rotor based on magnetic calculation of magnetic bearings according to claim 2, wherein the characteristic current extraction unit receives the static balance calculation initial command sent by the full-circle rotation control unit, and accumulates The counter n counts from zero, collects the current i au of the magnetic bearing winding Au, the current i av of the winding Av, the current i bu of the winding Bu, and the current i av of the winding Bv, and performs accumulation operation;
Figure FDA0003876020070000031
Figure FDA0003876020070000031
接收整圈旋转控制单元发送的静平衡计算结束指令,此时累加计数器n计数到N,计算各绕组电流在转子固连坐标系Ou、Ov方向上的分量,为:Receive the static balance calculation end command sent by the full-circle rotation control unit, at this time the accumulative counter n counts to N, and calculate the components of each winding current in the direction of the fixed rotor coordinate system Ou and Ov, which is:
Figure FDA0003876020070000032
Figure FDA0003876020070000032
其中,N=t/T为累加时长,T为伺服周期时间,t为不平衡转子旋转M圈整周期时间。Wherein, N=t/T is the accumulative duration, T is the servo cycle time, and t is the full cycle time of the unbalanced rotor rotating M circles.
7.根据权利要求2所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统,其特征在于,所述静平衡配重解算单元包括静平衡配重成分计算模块、静平衡配重质量计算模块和静平衡配重角位置计算模块;7. The static balancing system of a magnetic levitation rotor based on magnetic calculation of magnetic bearings according to claim 2, wherein the static balancing counterweight calculating unit includes a static balancing counterweight component calculation module, a static balancing counterweight mass Calculation module and static balance counterweight angular position calculation module; 静平衡配重成分计算模块根据特征电流提取单元所得结果解算静平衡配重在转子固连坐标系Ou、Ov方向上的分量,结果为:The static balance counterweight component calculation module calculates the components of the static balance counterweight in the Ou and Ov directions of the fixed rotor coordinate system according to the results obtained by the characteristic current extraction unit, and the result is:
Figure FDA0003876020070000033
Figure FDA0003876020070000033
其中,ma为平衡盘A所需校正质量,mb为平衡盘B所需校正质量,mau为ma在转子固连坐标系Ou方向上的分量,mav为ma在转子固连坐标系Ov方向上的分量,mbu为mb在转子固连坐标系Ou方向上的分量,mbv为mb在转子固连坐标系Ov方向上的分量;ra、rb为平衡盘A、B上的校正质量到转轴的距离,kia、kib分别为磁轴承A和磁轴承B的电流刚度;Lmta为ma到不平衡转子质心的轴向距离,Lmtb为mb到不平衡转子质心的轴向距离,L为平衡盘A到平衡盘B的轴向距离,L2为磁轴承A到磁轴承B的轴向距离,g为重力加速度常数;Among them, ma is the correction mass required by the balance plate A, m b is the correction mass required by the balance plate B, ma au is the component of ma a in the direction of the rotor fixed coordinate system Ou, and ma av is the component of ma a in the fixed rotor coordinate system The component in the Ov direction of the coordinate system, m bu is the component of m b in the Ou direction of the fixed rotor coordinate system, and m bv is the component of m b in the Ov direction of the rotor fixed coordinate system; r a and r b are the balance discs The distance from the calibration mass on A and B to the rotating shaft, k ia and k ib are the current stiffnesses of magnetic bearing A and magnetic bearing B respectively; L mta is the axial distance from ma to the center of mass of the unbalanced rotor, and L mtb is m b The axial distance to the center of mass of the unbalanced rotor, L is the axial distance from balance disk A to balance disk B, L2 is the axial distance from magnetic bearing A to magnetic bearing B, and g is the gravitational acceleration constant; 静平衡配重质量计算模块根据静平衡配重成分计算模块所得的结果计算平衡盘A所需配重质量ma、平衡盘B所需配重质量mb,分别为:The mass calculation module of the static balance counterweight calculates the mass ma of the counterweight required by the balance plate A and the mass m b of the counterweight required by the balance plate B according to the results obtained by the component calculation module of the static balance counterweight, respectively:
Figure FDA0003876020070000041
Figure FDA0003876020070000041
静平衡配重角位置计算模块根据静平衡配重成分计算模块所得的结果解算平衡盘A所需配重质量的角位置
Figure FDA0003876020070000042
平衡盘B所需配重质量的角位置
Figure FDA0003876020070000043
分别为:
The static balance counterweight angular position calculation module calculates the angular position of the counterweight mass required by the balance plate A according to the results obtained by the static balance counterweight component calculation module
Figure FDA0003876020070000042
The angular position of the counterweight mass required for the balance plate B
Figure FDA0003876020070000043
They are:
Figure FDA0003876020070000044
Figure FDA0003876020070000044
8.根据权利要求1所述的一种基于磁轴承磁力推算的磁悬浮转子静平衡系统实现的磁悬浮转子静平衡方法,其特征在于,包括:8. A static balancing method for a magnetic levitation rotor realized by a static balancing system of a magnetic levitation rotor based on magnetic bearing magnetic calculation according to claim 1, characterized in that it comprises: 控制不平衡转子悬浮;Control unbalanced rotor suspension; 控制不平衡转子绕其几何轴稳定旋转;Control the unbalanced rotor to rotate stably around its geometric axis; 获取不平衡转子的绕组电流;Obtain the winding current of the unbalanced rotor; 从绕组电流中提取特征电流成分;Extract the characteristic current component from the winding current; 根据特征电流成分解算不平衡转子所需配重质量。According to the characteristic current components, the counterweight mass required by the unbalanced rotor is calculated. 9.一种计算机可读存储介质,所述的计算机可读存储介质存储有计算机程序,其特征在于,所述的计算机程序被处理器执行时实现如权利要求1所述方法的步骤。9. A computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, wherein when the computer program is executed by a processor, the steps of the method according to claim 1 are realized. 10.一种基于磁轴承磁力推算的磁悬浮转子静平衡设备,包括存储器、处理器以及存储在所述存储器中并可在所述处理器上运行的计算机程序,其特征在于:所述的处理器执行所述的计算机程序时实现如权利要求1所述方法的步骤。10. A static balancing device for a magnetic levitation rotor based on magnetic calculation of magnetic bearings, comprising a memory, a processor, and a computer program stored in the memory and operable on the processor, characterized in that: the processor The steps of the method as claimed in claim 1 are realized when the computer program is executed.
CN202211215772.8A 2022-09-30 2022-09-30 Magnetic suspension rotor static balance system and method based on magnetic bearing magnetomotive calculation Pending CN115664260A (en)

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