CN105857647B - The production method for accelerating racemization magnetic field of low speed spin space unmagnetized metal fragment - Google Patents
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Abstract
Description
技术领域technical field
本发明属于空间碎片清理技术领域,涉及对空间非磁化金属碎片进行消旋的磁场技术,具体涉及一种低速自旋空间非磁化金属碎片的加速消旋磁场的产生方法。The invention belongs to the technical field of space debris cleaning, and relates to a magnetic field technology for derotating space non-magnetized metal fragments, in particular to a method for generating an accelerated derotation magnetic field of low-speed spin space non-magnetized metal fragments.
背景技术Background technique
“空间碎片”是指位于地球轨道上或者再入大气层的非功能性的人造物体,包括其碎片和部件。随着人类航天活动的日益频繁,空间碎片的数量呈级数增长趋势,且集中于高度为800-1000km的区域,受空间摄动力影响,这些碎片常处于高速自旋的运动状态。这给空间碎片的捕捉和清理工作带来了极大的困难。对空间碎片进行消旋是捕捉和清理的首要任务。目前主要有接触式消旋和非接触式消旋。基于磁场的空间碎片涡流消旋技术属于非接触式消旋,该项研究尚处于起始阶段,现有研究主要集中于恒定磁场下的消旋方法,没有考虑到恒定磁场与变化磁场相互配合的磁场设置方法。"Space debris" means non-functional man-made objects in Earth orbit or re-entering the atmosphere, including fragments and components thereof. With the increasing frequency of human spaceflight activities, the number of space debris is increasing exponentially, and they are concentrated in areas with an altitude of 800-1000km. Due to the influence of space perturbation, these debris are often in a state of high-speed spin motion. This has brought great difficulties to the capture and clean-up of space debris. Derotation of space debris is a top priority for capture and cleanup. At present, there are mainly contact racemization and non-contact racemization. The magnetic field-based eddy current derotation technology for space debris belongs to the non-contact derotation. This research is still in its infancy. Existing research mainly focuses on the derotation method under a constant magnetic field, without considering the interaction between a constant magnetic field and a changing magnetic field. Magnetic field setting method.
在《ACTA ASTRONAUTICA》2012年第76卷145-153页刊登的“Study on the eddycurrent damping of the spin dynamics of space debris from the Ariane launcherupper stages”一文(作者Praly,N.等),讨论了由阿丽亚娜火箭上面级产生的空间碎片在地球磁场作用下的涡流效应,得出在地磁场作用下,空间在碎片会逐渐停止自旋的结论。从理论上说明了恒定磁场会对空间碎片的旋转运动起到阻尼作用。这种被动的消旋方式时间较长,通常在半年左右。In the article "Study on the eddycurrent damping of the spin dynamics of space debris from the Ariane launcherupper stages" published in "ACTA ASTRONAUTICA" 2012, Volume 76, pages 145-153 (author Praly, N., etc.), discussed the The eddy current effect of the space debris produced by the upper stage of the Yana rocket under the action of the earth's magnetic field leads to the conclusion that the space debris will gradually stop spinning under the action of the earth's magnetic field. It is theoretically shown that a constant magnetic field will dampen the rotational motion of space debris. This passive racemization takes a long time, usually about half a year.
在《ACTA ASTRONAUTICA》2015年第114卷34-53页刊登的“Eddy currents appliedto de-tumbling of space debris:Analysis and validation of approximateproposed methods”一文(作者Gomez,Natalia Ortiz等),提出了通过线圈建立恒定磁场,利用涡流转矩的主动消旋技术。该方法通过主动构建定向磁场来实现空间碎片的消旋,研究了涡流转矩的大小和消旋的时间。该技术通过单组线圈建立恒定磁场,靠碎片运动切割磁力线产生涡流,生成消旋转矩。由于涡流的大小与碎片运动速度有关,碎片运动速度越快,涡流越大,消旋转矩越大,当碎片旋转的速度较慢时,消旋转矩也会比较小,在消旋的过程中,碎片的旋转速度会越来越小,消旋转矩也会变得越来越小,消旋所需时间较长。In the article "Eddy currents applied to de-tumbling of space debris: Analysis and validation of approximate proposed methods" (authors Gomez, Natalia Ortiz, etc.) published in "ACTA ASTRONAUTICA", Volume 114, pages 34-53, 2015, it is proposed to establish a constant Magnetic field, active derotation technology using eddy current torque. In this method, the derotation of space debris is achieved by actively constructing a directional magnetic field, and the magnitude of the eddy current torque and the derotation time are studied. This technology establishes a constant magnetic field through a single set of coils, and relies on the movement of fragments to cut the magnetic field lines to generate eddy currents and generate derotation torque. Since the size of the vortex is related to the velocity of the debris, the faster the velocity of the debris, the larger the vortex, and the greater the derotation torque. When the rotational speed of the debris is slower, the derotation torque will be smaller. The rotation speed of the fragments will become smaller and smaller, the derotation torque will also become smaller and smaller, and the time required for derotation will be longer.
2013年申请的国家发明专利《一种清除空间碎片的方法和装置》,专利申请公布号CN103434658A,发明人:李怡勇等,提出了通过电场力、磁场力或电磁场力相结合,改变空间碎片的运动速度和运动方向,使碎片偏离固定轨道的一种清除空间碎片的方法。该技术未谈及碎片的旋转运动及消旋问题。The national invention patent "A Method and Device for Removing Space Debris" applied in 2013, patent application publication number CN103434658A, inventor: Li Yiyong, etc., proposed to change the movement of space debris through the combination of electric field force, magnetic field force or electromagnetic field force Speed and direction of motion, a method of removing space debris that deviates debris from a fixed orbit. This technique does not address the rotational motion and racemization of the fragments.
现有技术分析了涡流转矩产生机理和实现方法,所采用的磁场均为恒定磁场,仅依靠碎片自身的旋转运动产生的涡流转矩进行消旋。由于涡流的大小与碎片运动速度有关,碎片运动速度越快,涡流越大,消旋转矩越大;当碎片旋转的速度较慢时,消旋转矩也会比较小。在消旋的过程中,碎片的旋转速度会越来越小,消旋转矩也会变得越来越小,消旋所需时间则会更长。The prior art analyzes the generation mechanism and realization method of the eddy current torque. The magnetic field used is a constant magnetic field, and the derotation is performed only by the eddy current torque generated by the rotational motion of the debris itself. Since the size of the vortex is related to the moving speed of the fragments, the faster the moving speed of the fragments, the larger the vortex, and the greater the derotation torque; when the rotational speed of the fragments is slower, the derotation torque will be smaller. During the derotation process, the rotational speed of the fragments will become smaller and smaller, the derotation torque will also become smaller and smaller, and the time required for derotation will be longer.
发明内容Contents of the invention
要解决的技术问题technical problem to be solved
为了避免现有技术的不足之处,本发明提出一种低速自旋空间非磁化金属碎片的加速消旋磁场的产生方法,利用变化磁场在非磁化金属碎片上产生涡流,与碎片运动在磁场中产生的涡流共同作用,形成涡流转矩的变化磁场,增强涡流转矩,加速消旋过程,提高消旋效率。In order to avoid the deficiencies of the prior art, the present invention proposes a method for generating an accelerated derotation magnetic field for non-magnetized metal fragments in low-speed spin space, using a changing magnetic field to generate eddy currents on the non-magnetized metal fragments, and moving with the fragments in the magnetic field The generated eddy currents work together to form a changing magnetic field of eddy current torque, enhance the eddy current torque, accelerate the de-rotation process, and improve the de-rotation efficiency.
技术方案Technical solutions
一种低速自旋空间非磁化金属碎片的加速消旋磁场的产生方法,其特征在于:在恒定磁场的正交方向施加一个交变磁场,在碎片导体内部共同产生涡流,增强涡流转矩,加速消旋过程,具体步骤如下:A method for generating an accelerated derotation magnetic field of non-magnetized metal fragments in a low-speed spin space, characterized in that: an alternating magnetic field is applied in the orthogonal direction of a constant magnetic field, and eddy currents are jointly generated inside the fragment conductors to enhance eddy current torque and accelerate The racemization process, the specific steps are as follows:
步骤1:在与非磁化金属碎片的旋转主轴垂直的平面内,以碎片主轴通过点为原点,选择两个任意相互垂直的方向为x轴和y轴,在两个轴向方向施加磁场M和磁场N;磁场M的正方向为y轴负方向,磁场N的正方向的为x轴正方向;Step 1: In a plane perpendicular to the main axis of rotation of the non-magnetized metal fragments, with the passing point of the main axis of the fragments as the origin, select two arbitrary mutually perpendicular directions as the x-axis and the y-axis, and apply a magnetic field M and Magnetic field N; the positive direction of the magnetic field M is the negative direction of the y-axis, and the positive direction of the magnetic field N is the positive direction of the x-axis;
步骤2:确定产生消旋转矩的条件:Step 2: Determine the conditions that produce derotation torque:
1、当磁场M为具有恒定的磁场强度H1时,磁场N为变化的磁场强度H2:1. When the magnetic field M has a constant magnetic field strength H 1 , the magnetic field N is a changing magnetic field strength H 2 :
情况1:当碎片逆时针旋转时:Case 1: When the pieces rotate counterclockwise:
若磁场M恒定的磁场强度H1>0,磁场N施加变化的磁场强度H2沿x轴正方向减小,为 If the constant magnetic field strength H 1 of the magnetic field M > 0, the magnetic field N applies a changing magnetic field strength H 2 to decrease along the positive direction of the x-axis, as
若磁场M恒定的的磁场强度H1<0,磁场N施加变化的磁场强度H2沿x轴正方向增加,为 If the magnetic field M has a constant magnetic field strength H 1 <0, the magnetic field N applies a changing magnetic field strength H 2 to increase along the positive direction of the x-axis, as
情况2:当碎片顺时针旋转时:Case 2: When the pieces rotate clockwise:
若磁场M恒定的磁场强度H1>0,磁场N施加变化的磁场强度H2沿x轴正方向增加,为 If the constant magnetic field strength H 1 of the magnetic field M > 0, the magnetic field N applies a changing magnetic field strength H 2 to increase along the positive direction of the x-axis, as
若磁场M恒定的磁场强度H1<0,磁场N施加变化的磁场强度H2沿x轴正方向减小,为 If the magnetic field M with a constant magnetic field strength H 1 <0, the magnetic field N applied with a changing magnetic field strength H 2 decreases along the positive direction of the x-axis, as
2、磁场M具有变化的磁场强度H1,磁场N具有恒定的磁场强度H2;2. The magnetic field M has a variable magnetic field strength H 1 , and the magnetic field N has a constant magnetic field strength H 2 ;
情况1:当碎片逆时针旋转时:Case 1: When the pieces rotate counterclockwise:
若磁场N恒定的磁场强度H2>0,磁场M施加变化的磁场强度H1沿y轴负方向增加,为 If the constant magnetic field strength H 2 of the magnetic field N > 0, the magnetic field M applies a changing magnetic field strength H 1 to increase along the negative direction of the y-axis, as
若磁场N恒定的磁场强度H2<0,磁场M施加变化的磁场强度H1沿y轴负方向减小,为 If the constant magnetic field strength H 2 of the magnetic field N <0, the magnetic field M applies a changing magnetic field strength H 1 and decreases along the negative direction of the y-axis, as
情况2:当碎片顺时针旋转时:Case 2: When the pieces rotate clockwise:
若磁场N恒定的磁场强度H2>0,磁场M施加变化的磁场强度H1沿y轴负方向减小,为 If the constant magnetic field strength H 2 of the magnetic field N > 0, the magnetic field M applies a changing magnetic field strength H 1 to decrease along the negative direction of the y-axis, as
若磁场N恒定的磁场强度H2<0,磁场M施加变化的磁场强度H1沿y轴负方向增加,为 If the constant magnetic field strength H 2 of the magnetic field N <0, the magnetic field M applies a changing magnetic field strength H 1 to increase along the negative direction of the y-axis, as
所述施加的交变磁场为方波、三角波、锯齿波或梯形波。The applied alternating magnetic field is square wave, triangular wave, sawtooth wave or trapezoidal wave.
有益效果Beneficial effect
本发明提出的一种低速自旋空间非磁化金属碎片的加速消旋磁场的产生方法,利用在与恒定消旋磁场相正交的方向上施加变化磁场,从而在碎片导体内部产生涡流,与在恒定磁场作用下碎片旋转运动产生的涡流共同作用,以增强低速旋转碎片内部的涡流效应,提高恒定磁场作用下的消旋转矩,缩短碎片消旋时间的一种磁场设置方法。The invention proposes a method for generating the accelerated derotation magnetic field of non-magnetized metal fragments in low-speed spin space, which uses a changing magnetic field in a direction perpendicular to the constant derotation magnetic field to generate eddy currents inside the fragment conductors, which is the same as that in the fragment conductors. The eddy currents generated by the rotational movement of fragments under the action of a constant magnetic field work together to enhance the eddy current effect inside the low-speed rotating fragments, increase the derotation torque under the action of a constant magnetic field, and shorten the derotation time of the fragments. A magnetic field setting method.
本发明方法同现有技术相比具有以下优点:利用变化磁场产生涡流,与非磁化金属碎片旋转运动在磁场中产生的涡流叠加,产生消旋转矩,提高了能量传递的效率,增大了消旋转矩,减小了消旋时间。Compared with the prior art, the method of the present invention has the following advantages: the eddy current generated by the changing magnetic field is superimposed with the eddy current generated by the rotational motion of the non-magnetized metal fragments in the magnetic field to generate a derotation torque, which improves the efficiency of energy transfer and increases the energy consumption. rotational torque, reducing the derotation time.
附图说明Description of drawings
图1:磁场作用方式示意图Figure 1: Schematic diagram of the magnetic field action mode
图2:M为恒定磁场,N为变化磁场时感应电流示意图Figure 2: M is a constant magnetic field, and N is a schematic diagram of the induced current when the magnetic field is changing
图3:M为恒定磁场,N为变化磁场时磁场设置示意图Figure 3: M is a constant magnetic field, and N is a schematic diagram of the magnetic field setting when the magnetic field is changing
图4:N为恒定磁场,M为变化磁场时感应电流示意图Figure 4: N is a constant magnetic field, and M is a schematic diagram of the induced current when the magnetic field is changing
图5:N为恒定磁场,M为变化磁场时磁场设置示意图Figure 5: N is a constant magnetic field, and M is a schematic diagram of the magnetic field setting when the magnetic field is changing
图6:交替作用时磁场设置示意图Figure 6: Schematic diagram of magnetic field setup during alternating action
具体实施方式Detailed ways
现结合实施例、附图对本发明作进一步描述:Now in conjunction with embodiment, accompanying drawing, the present invention will be further described:
本发明是一种利用变化磁场在非磁化金属碎片上产生涡流,与碎片运动在磁场中产生的涡流共同作用,形成涡流转矩的变化磁场技术,其技术特征在于它含有以下内容:The present invention is a kind of changing magnetic field technology that utilizes changing magnetic field to generate eddy current on non-magnetized metal fragments, and interacts with eddy current generated in the magnetic field by fragment movement to form eddy current torque. Its technical feature is that it contains the following contents:
(1)磁场的作用形式(1) The action form of the magnetic field
在与非磁化金属碎片的旋转主轴垂直的平面内,任意选择两个相互垂直的方向,以碎片主轴通过点为原点,两个垂直方向分别记为x轴和y轴。分别在两个轴向方向施加磁场M和磁场N。为讨论方便,规定碎片旋转方向为逆时针时为正,磁场M的正方向为y轴负方向,磁场N的正方向的为x轴正方向;In the plane perpendicular to the main axis of rotation of the non-magnetized metal fragments, two mutually perpendicular directions are arbitrarily selected, with the passing point of the main axis of the fragments as the origin, and the two perpendicular directions are respectively marked as x-axis and y-axis. A magnetic field M and a magnetic field N are applied in two axial directions, respectively. For the convenience of discussion, it is stipulated that when the rotation direction of the debris is counterclockwise, it is positive, the positive direction of the magnetic field M is the negative direction of the y-axis, and the positive direction of the magnetic field N is the positive direction of the x-axis;
(2)当磁场M具有恒定的磁场强度H1,磁场N具有变化的磁场强度H2时,产生消旋转矩的条件(2) When the magnetic field M has a constant magnetic field strength H 1 and the magnetic field N has a variable magnetic field strength H 2 , the conditions for derotation torque
碎片逆时针旋转时,当磁场M具有恒定的磁场强度H1且沿y轴负方向时,记为H1>0,此时产生的涡流方向为x轴上侧导体中电流流出纸面,x轴下侧导体中电流流入纸面。此时涡流转矩的方向与转速相反,属于消旋转矩。为产生同样方向的消旋转矩,要求在x轴方向的磁场N在导体中感应出来的涡流方向应该与磁场M单独作用时的涡流方向相同,即感应磁场的方向应该沿着x轴正方向,根据楞次定律,感应电流的磁场要阻碍原磁通的变化。此时,消旋转矩产生的条件是:磁场N的磁场强度H2沿x轴正方向是减小的,记为同理,当H1<0时,消旋转矩产生的条件是:磁场N的磁场强度H2沿x轴正方向是增加的,记为 When the fragments rotate counterclockwise, when the magnetic field M has a constant magnetic field strength H 1 and is along the negative direction of the y-axis, it is recorded as H 1 >0, and the direction of the eddy current generated at this time is that the current in the conductor on the upper side of the x-axis flows out of the paper, x The current in the conductor on the underside of the shaft flows into the paper. At this time, the direction of the eddy current torque is opposite to the rotational speed, which belongs to the derotation torque. In order to generate the derotation torque in the same direction, it is required that the direction of the eddy current induced by the magnetic field N in the x-axis direction in the conductor should be the same as the direction of the eddy current when the magnetic field M acts alone, that is, the direction of the induced magnetic field should be along the positive direction of the x-axis, According to Lenz's law, the magnetic field of the induced current should hinder the change of the original magnetic flux. At this time, the condition for the generation of derotation torque is: the magnetic field strength H 2 of the magnetic field N decreases along the positive direction of the x-axis, which is denoted as Similarly, when H 1 <0, the condition for derotation torque is: the magnetic field strength H 2 of the magnetic field N increases along the positive direction of the x-axis, denoted as
碎片顺时针旋转时,与之类似。这里仅给出结论。即消旋转矩产生的条件是:当H1<0时,磁场N的磁场强度H2沿x轴正方向是减小的,记为当H1>0时,磁场N的磁场强度H2沿x轴正方向是增加的,记为 It's similar when the fragments rotate clockwise. Only conclusions are given here. That is, the condition for the generation of derotation torque is: when H 1 <0, the magnetic field strength H 2 of the magnetic field N decreases along the positive direction of the x-axis, denoted as When H 1 >0, the magnetic field strength H 2 of the magnetic field N increases along the positive direction of the x-axis, denoted as
(3)磁场M具有变化的磁场强度H1,磁场N具有恒定的磁场强度H2,产生消旋转矩的条件(3) The magnetic field M has a changing magnetic field strength H 1 , the magnetic field N has a constant magnetic field strength H 2 , and the conditions for producing derotation torque
碎片逆时针旋转时,当磁场N具有恒定的磁场强度H2且沿x轴正方向时,即H2>0时,此时产生的涡流方向为y轴左侧导体中电流流出纸面,y轴右侧导体中电流流入纸面。此时涡流转矩的方向与转速相反,属于消旋转矩。为产生同样方向的消旋转矩,要求在y轴方向的磁场,在导体中感应出来的涡流方向应该与N磁场单独作用时的涡流方向相同,即感应磁场的方向应该沿着y轴正方向,根据楞次定律,感应电流的磁场要阻碍原磁通的变化。此时,消旋转矩产生的条件是:磁场M的磁场强度H1沿y轴负方向是增加的,记为同理,当H2<0时,消旋转矩产生的条件是:磁场M的磁场强度H1沿y轴负方向是减小的,记为 When the fragments rotate counterclockwise, when the magnetic field N has a constant magnetic field strength H 2 and is along the positive direction of the x-axis, that is, when H 2 >0, the direction of the eddy current generated at this time is that the current in the conductor on the left side of the y-axis flows out of the paper, y The current in the conductor on the right side of the shaft flows into the paper. At this time, the direction of the eddy current torque is opposite to the rotational speed, which belongs to the derotation torque. In order to generate the derotation torque in the same direction, the magnetic field in the y-axis direction is required. The direction of the eddy current induced in the conductor should be the same as that of the N magnetic field acting alone, that is, the direction of the induced magnetic field should be along the positive direction of the y-axis. According to Lenz's law, the magnetic field of the induced current should hinder the change of the original magnetic flux. At this time, the condition for the generation of derotation torque is: the magnetic field strength H 1 of the magnetic field M increases along the negative direction of the y-axis, which is denoted as Similarly, when H 2 <0, the condition for the generation of derotation torque is: the magnetic field strength H 1 of the magnetic field M decreases along the negative direction of the y-axis, which is denoted as
碎片顺时针旋转时,与之类似。所以消旋转矩产生的条件是:当H2<0时,磁场M的磁场强度H1沿y轴负方向是增加的,记为当H2>0时,磁场M的磁场强度H1沿y轴负方向是减小的,记为 It's similar when the fragments rotate clockwise. Therefore, the condition for the derotation torque is: when H 2 <0, the magnetic field strength H 1 of the magnetic field M increases along the negative direction of the y-axis, which is recorded as When H 2 >0, the magnetic field strength H 1 of the magnetic field M decreases along the negative direction of the y-axis, which is denoted as
本实施例是关于产生消旋转矩的磁场条件,碎片的结构形式对磁场条件不构成影响,为方便起见,选取碎片形状为空心圆柱体,旋转主轴位于圆柱体中心线,按逆时针方向旋转。选取垂直于圆柱体的截面建立如图1的所示的直角坐标系,原点即为剖面圆的圆心,取任意两个垂直方向建立x轴和y轴,沿x轴方向和y轴方向分别施加M和N磁场,磁场强度分别为H1和H2,图示方向为正方向。This embodiment is about the magnetic field conditions that generate the derotation torque. The structure of the fragments does not affect the magnetic field conditions. For convenience, the shape of the fragments is selected as a hollow cylinder. The main axis of rotation is located at the centerline of the cylinder and rotates counterclockwise. Select a section perpendicular to the cylinder to establish a Cartesian coordinate system as shown in Figure 1. The origin is the center of the section circle. Take any two perpendicular directions to establish the x-axis and y-axis, and apply them along the x-axis and y-axis respectively. M and N magnetic fields, the magnetic field strengths are H 1 and H 2 respectively, and the direction shown in the figure is the positive direction.
如图2所示,碎片逆时针旋转时,当磁场M具有恒定的磁场强度H1且沿y轴负方向时,记为H1>0,此时产生的涡流方向为x轴上侧导体中电流流出纸面,x轴下侧导体中电流流入纸面。此时涡流转矩的方向与转速相反,属于消旋转矩。为产生同样方向的消旋转矩,要求在x轴方向的磁场N在导体中感应出来的涡流方向应该与磁场M单独作用时的涡流方向相同,即感应磁场的方向应该沿着x轴正方向,根据楞次定律,感应电流的磁场要阻碍原磁通的变化。此时,消旋转矩产生的条件是:磁场N的磁场强度H2沿x轴正方向是减小的,记为同理,当H1<0时,消旋转矩产生的条件是:磁场N的磁场强度H2沿x轴正方向是增加的,记为 As shown in Figure 2, when the debris rotates counterclockwise, when the magnetic field M has a constant magnetic field strength H 1 and is along the negative direction of the y-axis, it is recorded as H 1 >0, and the direction of the eddy current generated at this time is in the conductor on the upper side of the x-axis The current flows out of the paper, and the current in the conductor on the lower side of the x-axis flows into the paper. At this time, the direction of the eddy current torque is opposite to the rotational speed, which belongs to the derotation torque. In order to generate the derotation torque in the same direction, it is required that the direction of the eddy current induced by the magnetic field N in the x-axis direction in the conductor should be the same as the direction of the eddy current when the magnetic field M acts alone, that is, the direction of the induced magnetic field should be along the positive direction of the x-axis, According to Lenz's law, the magnetic field of the induced current should hinder the change of the original magnetic flux. At this time, the condition for the generation of derotation torque is: the magnetic field strength H 2 of the magnetic field N decreases along the positive direction of the x-axis, which is denoted as Similarly, when H 1 <0, the condition for derotation torque is: the magnetic field strength H 2 of the magnetic field N increases along the positive direction of the x-axis, denoted as
此时,满足产生消旋转矩的磁场设置条件的M和N磁场可以设置成图3所示,但不局限于图3所示的类型。从图3中可以看出,在0-t1段,M磁场磁场强度H1为正,N磁场磁场强度H2的变化率在t1-t2段,M磁场磁场强度H2为负,N磁场的变化率下一个周期重复上述过程,此时所产生的转矩与碎片的运动方向相反,为消旋转矩。At this time, the M and N magnetic fields satisfying the magnetic field setting conditions for generating derotation torque can be set as shown in FIG. 3 , but are not limited to the type shown in FIG. 3 . It can be seen from Figure 3 that in the 0-t1 section, the magnetic field strength H 1 of the M magnetic field is positive, and the rate of change of the magnetic field strength H 2 of the N magnetic field In the t1-t2 period, the M magnetic field strength H2 is negative, and the rate of change of the N magnetic field The above process is repeated in the next cycle, and the torque generated at this time is opposite to the movement direction of the debris, which is an anti-rotation torque.
如图4所示,当磁场N具有恒定的磁场强度H2且沿x轴正方向时,即H2>0时,此时产生的涡流方向为y轴左侧导体中电流流出纸面,y轴右侧导体中电流流入纸面。此时涡流转矩的方向与转速相反,属于消旋转矩。为产生同样方向的消旋转矩,要求在y轴方向的磁场,在导体中感应出来的涡流方向应该与N磁场单独作用时的涡流方向相同,即感应磁场的方向应该沿着y轴正方向,根据楞次定律,感应电流的磁场要阻碍原磁通的变化。此时,消旋转矩产生的条件是:磁场M的磁场强度H1沿y轴负方向是增加的,记为同理,当H2<0时,消旋转矩产生的条件是:磁场M的磁场强度H1沿y轴负方向是减小的,记为 As shown in Figure 4, when the magnetic field N has a constant magnetic field strength H 2 and is along the positive direction of the x-axis, that is, when H 2 >0, the direction of the eddy current generated at this time is that the current in the conductor on the left side of the y-axis flows out of the paper, y The current in the conductor on the right side of the shaft flows into the paper. At this time, the direction of the eddy current torque is opposite to the rotational speed, which belongs to the derotation torque. In order to generate the derotation torque in the same direction, the magnetic field in the y-axis direction is required. The direction of the eddy current induced in the conductor should be the same as that of the N magnetic field acting alone, that is, the direction of the induced magnetic field should be along the positive direction of the y-axis. According to Lenz's law, the magnetic field of the induced current should hinder the change of the original magnetic flux. At this time, the condition for the generation of derotation torque is: the magnetic field strength H 1 of the magnetic field M increases along the negative direction of the y-axis, which is denoted as Similarly, when H 2 <0, the condition for the generation of derotation torque is: the magnetic field strength H 1 of the magnetic field M decreases along the negative direction of the y-axis, which is denoted as
此时,满足产生消旋转矩的磁场设置条件的M和N磁场可以设置成图3所示,但不局限于图3所示的类型。从图3中可以看出,在0-t1段,N磁场磁场强度H2为正,M磁场磁场强度H1的变化率在t1-t2段,N磁场磁场强度H2为负,M磁场的磁场强度H1变化率下一个周期重复上述过程,此时所产生的转矩与碎片的运动方向相反,为消旋转矩。At this time, the M and N magnetic fields satisfying the magnetic field setting conditions for generating derotation torque can be set as shown in FIG. 3 , but are not limited to the type shown in FIG. 3 . It can be seen from Figure 3 that in the 0-t1 section, the N magnetic field strength H2 is positive, and the rate of change of the M magnetic field strength H1 In the t1-t2 section, the magnetic field strength H 2 of the N magnetic field is negative, and the change rate of the magnetic field strength H 1 of the M magnetic field The above process is repeated in the next cycle, and the torque generated at this time is opposite to the movement direction of the debris, which is an anti-rotation torque.
综合以上两种情况,同时考虑到恒定磁场由正向变到负向要有一个变化过程,可以将两种磁场设置成图4方式。但不局限于图中所示方式。如图所示,在0-t1段,M为恒定磁场,且H1>0,N为变化磁场,且在t1-t2段,N为恒定磁场,且H2<0,H1为变化磁场,且在t2-t3段,M为恒定磁场,且H1<0,N为变化磁场,且在t3-t4段,N为恒定磁场,且H2>0,M为变化磁场,且下一周期重复上述过程。此时,产生的转矩方向与碎片旋转方向相反,为消旋转矩。Combining the above two situations, and considering that there must be a change process for the constant magnetic field to change from positive to negative, the two magnetic fields can be set as shown in Figure 4. But it is not limited to the way shown in the figure. As shown in the figure, in the 0-t1 period, M is a constant magnetic field, and H 1 >0, N is a changing magnetic field, and In the t1-t2 period, N is a constant magnetic field, and H 2 <0, H 1 is a changing magnetic field, and In the t2-t3 period, M is a constant magnetic field, and H 1 <0, N is a changing magnetic field, and In the period t3-t4, N is a constant magnetic field, and H 2 >0, M is a changing magnetic field, and Repeat the above process in the next cycle. At this time, the direction of the generated torque is opposite to the rotation direction of the debris, which is an anti-rotation torque.
对于碎片按照顺时针旋转的情况,技术方案中已给出详细的条件,这里不再举例说明。For the case where the fragments rotate clockwise, the detailed conditions have been given in the technical proposal, and no examples are given here.
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