CN102088237B - Trapezoid coil-type permanent-magnetic coreless linear motor - Google Patents
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Abstract
梯形线圈型永磁无铁直线电机包括定子基体、定子绕组、动子基体、海尔贝克永磁阵列。动子位于定子正上方并留有气隙,在定子基体上缠绕有定子绕组,定子绕组由梯形线圈互连构成,梯形线圈是两条元件边截面均为梯形的线圈,在动子基体下表面安装海尔贝克永磁阵列,定子基体和动子基体由铝合金材料制成。采用梯形线圈替代现有海尔贝克永磁无铁直线电机的薄层线圈后,可以大幅降低采用薄层线圈时电机产生的5次、9次脉动力,进而提高了电机的出力平滑性,在半导体加工产业等超高精度伺服领域中具有广阔的应用前景。
The trapezoidal coil type permanent magnet ironless linear motor includes a stator base, a stator winding, a mover base, and a Halbach permanent magnet array. The mover is located directly above the stator with an air gap. The stator winding is wound on the stator base. The stator winding is composed of trapezoidal coils interconnected. The Halbach permanent magnet array is installed, and the stator base and mover base are made of aluminum alloy. After the trapezoidal coil is used to replace the thin-layer coil of the existing Halbach permanent magnet iron-free linear motor, the 5th and 9th pulse power generated by the motor can be greatly reduced when the thin-layer coil is used, thereby improving the output smoothness of the motor. It has broad application prospects in ultra-high precision servo fields such as processing industry.
Description
技术领域 technical field
本发明是一种可以应用于高精度伺服领域的永磁无铁直线电机,特别涉及一种采用梯形线圈的永磁无铁直线电机。 The invention is a permanent magnet ironless linear motor that can be applied to the high-precision servo field, and particularly relates to a permanent magnet ironless linear motor using a trapezoidal coil.
背景技术 Background technique
直线电机直接驱动不存在传动机构的齿隙、不确定的滚珠运动、粉尘、润滑等影响定位精度的难题,不存在传动机构的附加质量,响应更快。和旋转电机类似,直线电机主要分为变磁阻型、永磁同步型、感应型3大类,其中永磁同步型在结构设计和控制精度等方面具有明显优势。本发明涉及的永磁无铁直线电机指的是具有以下特点的永磁同步型直线电机:永磁阵列无背铁,绕组芯采用非铁磁材料制成。永磁无铁直线电机虽然出力密度比有铁电机要低,但完全消除了永磁体对定子铁芯的磁吸力和齿槽力,从而进一步提高了高精度定位能力,其定位精度和重复定位精度可达到亚微米级,甚至纳米级,在半导体加工产业等超高精度伺服领域中具有广阔的应用前景。 The direct drive of the linear motor does not have the backlash of the transmission mechanism, uncertain ball movement, dust, lubrication and other problems that affect the positioning accuracy, there is no additional mass of the transmission mechanism, and the response is faster. Similar to rotary motors, linear motors are mainly divided into three categories: variable reluctance type, permanent magnet synchronous type, and induction type. Among them, the permanent magnet synchronous type has obvious advantages in structural design and control accuracy. The permanent magnet ironless linear motor involved in the present invention refers to a permanent magnet synchronous linear motor with the following characteristics: the permanent magnet array has no back iron, and the winding core is made of non-ferromagnetic materials. Although the output density of the permanent magnet ironless linear motor is lower than that of the iron motor, it completely eliminates the magnetic attraction and cogging force of the permanent magnet on the stator core, thereby further improving the high-precision positioning capability, its positioning accuracy and repeat positioning accuracy It can reach sub-micron level or even nanometer level, and has broad application prospects in ultra-high-precision servo fields such as semiconductor processing industry.
根据麦克斯韦应力张量法可知:在无铁直线电机中,只有当永磁阵列和绕组磁场的第n次谐波分量都存在时,力的n次谐波分量才存在,且力的该次分量的幅值与磁场的该次分量的幅值成正比。可知,如果想要消除高次脉动力,则应该尽可能消除永磁阵列和绕组产生的磁场的高次谐波分量。 According to Maxwell's stress tensor method, it can be known that in ironless linear motors, the nth harmonic component of force exists only when both the permanent magnet array and the nth harmonic component of the winding magnetic field exist, and the amplitude of this component of force The value is proportional to the magnitude of this subcomponent of the magnetic field. It can be seen that if you want to eliminate the high-order pulsation force, you should eliminate the high-order harmonic components of the magnetic field generated by the permanent magnet array and winding as much as possible.
海尔贝克永磁阵列的磁场呈现单边性,可在没有背铁的情况下产生较大的磁场,而且其强侧的磁场具有优良的正弦性能,只含有基波、5次、9次等谐波分量,以上特点使得海尔贝克永磁阵列被广泛应用于无铁直线电机领域。现有的海尔贝克永磁无铁直线电机多采用薄层线圈构成的绕组,薄层线圈元件边的截面为矩形(在旋转电机中,元件边指的是线圈安放在槽中的部分;在无铁直线电机中,元件边指的是线圈产生有效电磁力的部分),具有容易使用模具加工和安装简单的特点,这种线圈产生的磁场包含基波、5次、9次等谐波分量。综上所述,如果采用海尔贝克永磁阵列和薄层线圈结构,则该无铁直线电机含有5次、9次等脉动力分量。 The magnetic field of the Halbach permanent magnet array is unilateral, which can generate a large magnetic field without a back iron, and the magnetic field on the strong side has excellent sinusoidal performance, and only contains fundamental waves, 5th and 9th harmonics Wave component, the above characteristics make Halbach permanent magnet arrays widely used in the field of ironless linear motors. The existing Halbeck permanent magnet ironless linear motors mostly use thin-layer coil windings, and the cross-section of the thin-layer coil element side is rectangular (in a rotating electrical machine, the element side refers to the part where the coil is placed in the slot; In the iron linear motor, the component side refers to the part where the coil generates effective electromagnetic force), which has the characteristics of easy mold processing and simple installation. The magnetic field generated by this coil contains fundamental, 5th, 9th and other harmonic components. To sum up, if the Halbach permanent magnet array and thin-layer coil structure are used, the ironless linear motor contains 5th and 9th order pulse force components.
发明内容Contents of the invention
技术问题:本发明提供一种采用梯形线圈和海尔贝克永磁阵列的无铁直线电机,该直线电机具有高次脉动力极小的特点。 Technical problem: The present invention provides an iron-free linear motor using a trapezoidal coil and a Halbach permanent magnet array. The linear motor has the characteristics of extremely small high-order pulse force.
技术方案:本发明的梯形线圈型永磁无铁直线电机包括定子基体、定子绕组、动子基体、海尔贝克永磁阵列。动子位于定子正上方并留有气隙,在定子基体上缠绕有定子绕组,定子绕组由梯形线圈互连构成,梯形线圈是两条元件边的截面均为梯形的线圈,在动子基体下表面安装海尔贝克永磁阵列,定子基体和动子基体由铝合金材料制成。 Technical solution: The trapezoidal coil type permanent magnet ironless linear motor of the present invention includes a stator base, a stator winding, a mover base, and a Halbach permanent magnet array. The mover is located directly above the stator with an air gap, and the stator winding is wound on the stator base. The stator winding is composed of trapezoidal coils interconnected. The Halbach permanent magnet array is mounted on the surface, and the stator base and mover base are made of aluminum alloy.
所述的定子基体在一个周期内从左至右分别由第一线圈芯、第二线圈芯、第三线圈芯、第四线圈芯组成;定子绕组在一个周期内由第一梯形线圈~第八梯形线圈构成,其中,第一梯形线圈套装在第一线圈芯的上下两侧,第二梯形线圈套装在第二线圈芯的左右两侧,第三梯形线圈套装在第三线圈芯的上下两侧,第四梯形线圈套装在第四线圈芯的左右两侧,第五梯形线圈套装在第一线圈芯的左右两侧,第六梯形线圈套装在第二线圈芯的上下两侧,第七梯形线圈套装在第三线圈芯的左右两侧,第八梯形线圈套装在第四线圈芯的上下两侧;第一梯形线圈、第二梯形线圈、第三梯形线圈、第四梯形线圈互连构成A相定子绕组,其中第一梯形线圈的上侧元件边与第二梯形线圈的右侧元件边互连,第二梯形线圈的左侧元件边与第三梯形线圈的上侧元件边互连,第三梯形线圈的下侧元件边与第四梯形线圈的左侧元件边互连,第四梯形线圈的右侧元件边与下一周期的第一梯形线圈的下侧元件边互连;第五梯形线圈、第六梯形线圈、第七梯形线圈、第八梯形线圈互连构成B相定子绕组,其中第五梯形线圈的右侧元件边与第六梯形线圈的下侧元件边互连,第六梯形线圈的上侧元件边与第七梯形线圈的右侧元件边互连,第七梯形线圈的左侧元件边与第八梯形线圈的上侧元件边互连,第八梯形线圈的下侧元件边与下一周期的第五梯形线圈的左侧元件边互连。A相定子绕组所通电流相位超前B相定子绕组所通电流90度,用于形成定子行波磁场。 The stator base is composed of the first coil core, the second coil core, the third coil core and the fourth coil core from left to right in one cycle; the stator winding is composed of the first trapezoidal coil to the eighth coil core in one cycle. Composed of trapezoidal coils, the first trapezoidal coil is set on the upper and lower sides of the first coil core, the second trapezoidal coil is set on the left and right sides of the second coil core, and the third trapezoidal coil is set on the upper and lower sides of the third coil core , the fourth trapezoidal coil is set on the left and right sides of the fourth coil core, the fifth trapezoidal coil is set on the left and right sides of the first coil core, the sixth trapezoidal coil is set on the upper and lower sides of the second coil core, and the seventh trapezoidal coil Set on the left and right sides of the third coil core, and the eighth trapezoidal coil on the upper and lower sides of the fourth coil core; the first trapezoidal coil, the second trapezoidal coil, the third trapezoidal coil, and the fourth trapezoidal coil are interconnected to form A phase The stator winding, wherein the upper side element side of the first trapezoidal coil is interconnected with the right side element side of the second trapezoidal coil, the left side element side of the second trapezoidal coil is interconnected with the upper side element side of the third trapezoidal coil, and the third The lower side element side of the trapezoidal coil is interconnected with the left side element side of the fourth trapezoidal coil, and the right side element side of the fourth trapezoidal coil is interconnected with the lower side element side of the first trapezoidal coil of the next period; the fifth trapezoidal coil , the sixth trapezoidal coil, the seventh trapezoidal coil, and the eighth trapezoidal coil are interconnected to form the B-phase stator winding, wherein the right element side of the fifth trapezoidal coil is interconnected with the lower side element side of the sixth trapezoidal coil, and the sixth trapezoidal coil The upper side element side of the seventh trapezoidal coil is interconnected with the right side element side of the seventh trapezoidal coil, the left side element side of the seventh trapezoidal coil is interconnected with the upper side element side of the eighth trapezoidal coil, and the lower side element side of the eighth trapezoidal coil is connected with The left element side of the fifth ladder coil of the next cycle is interconnected. The phase of the current passing through the A-phase stator winding is 90 degrees ahead of the current passing through the B-phase stator winding, which is used to form the stator traveling wave magnetic field.
有益效果:与现有技术相比,本发明具有如下优点: Beneficial effect: compared with the prior art, the present invention has the following advantages:
根据麦克斯韦应力张量法可知:在无铁直线电机中,只有当永磁阵列和绕组磁场的第n次谐波分量都存在时,力的n次谐波分量才存在,且力的该次分量的幅值与磁场的该次分量的幅值成正比。可知,如果想要消除高次脉动力,则应该尽可能消除永磁阵列和绕组产生的磁场的高次谐波分量。 According to Maxwell's stress tensor method, it can be known that in ironless linear motors, the nth harmonic component of force exists only when both the permanent magnet array and the nth harmonic component of the winding magnetic field exist, and the amplitude of this component of force The value is proportional to the magnitude of this subcomponent of the magnetic field. It can be seen that if you want to eliminate the high-order pulsation force, you should eliminate the high-order harmonic components of the magnetic field generated by the permanent magnet array and winding as much as possible.
现有的海尔贝克永磁无铁直线电机多采用薄层线圈构成的绕组,其中,海尔贝克永磁阵列的强侧磁场含有基波、5次、9次等谐波分量,薄层线圈元件边的截面为矩形,这种线圈产生的磁场包含基波、5次、9次等谐波分量。可见,如果无铁直线电机采用海尔贝克永磁阵列和薄层线圈结构,则该电机含有5次、9次等脉动力分量。 Existing Halbach permanent magnet ironless linear motors mostly use windings composed of thin-layer coils. Among them, the strong side magnetic field of Halbach permanent magnet array contains harmonic components such as fundamental wave, 5th order, and 9th order. The section of the coil is rectangular, and the magnetic field generated by this coil contains fundamental, 5th, 9th and other harmonic components. It can be seen that if the ironless linear motor adopts Halbach permanent magnet array and thin-layer coil structure, the motor contains 5th and 9th order pulse force components.
新型的由梯形线圈构成的绕组结构被提出并应用于海尔贝克无铁直线电机。分析和仿真表明,梯形线圈型绕组产生的磁场正弦性极好,高次谐波几乎可以完全忽略,进而可以大幅降低采用薄层线圈所产生的5次、9次脉动力。本发明在半导体加工产业等超高精度伺服领域中具有广阔的应用前景。 A new winding structure composed of trapezoidal coils was proposed and applied to Halbach ironless linear motors. Analysis and simulation show that the magnetic field generated by the trapezoidal coil winding is extremely sinusoidal, and the high-order harmonics can be almost completely ignored, which can greatly reduce the 5th and 9th pulsation forces generated by thin-layer coils. The invention has broad application prospects in ultra-high-precision servo fields such as the semiconductor processing industry.
附图说明 Description of drawings
图1是本发明的结构简图 Fig. 1 is a simplified structural diagram of the present invention
图2是现有的海尔贝克永磁无铁直线电机采用的薄层线圈型绕组结构,其中,图2a是2相薄层线圈型绕组结构,图2b是3相薄层线圈型绕组结构。 Figure 2 is the thin-layer coil winding structure adopted by the existing Halbach permanent magnet ironless linear motor, in which Figure 2a is a 2-phase thin-layer coil winding structure, and Figure 2b is a 3-phase thin-layer coil winding structure.
图3是本发明的定子绕组的结构示意图。 Fig. 3 is a structural schematic diagram of the stator winding of the present invention.
图4是本发明的梯形线圈拓扑结构和绕组磁场基波比例的关系图。 Fig. 4 is a relationship diagram between the topological structure of the trapezoidal coil and the ratio of the fundamental wave of the winding magnetic field in the present invention.
图5是本发明的磁场谐波分析结果,其中,图5a是海尔贝克永磁阵列的磁场谐波分析结果,图5b是梯形线圈型2相绕组的磁场谐波分析结果,图5c是体积与梯形线圈型绕组相同的薄层线圈型2相绕组的磁场谐波分析结果,图5d是体积与梯形线圈型绕组相同的薄层线圈型3相绕组的磁场谐波分析结果。 Fig. 5 is the magnetic field harmonic analysis result of the present invention, wherein, Fig. 5 a is the magnetic field harmonic analysis result of Halbach permanent magnet array, Fig. 5 b is the magnetic field harmonic analysis result of trapezoidal coil type 2-phase winding, Fig. 5 c is volume and The magnetic field harmonic analysis results of the thin-layer coil type 2-phase winding with the same volume as the trapezoidal coil type winding, Fig. 5d is the magnetic field harmonic analysis result of the thin-layer coil type 3-phase winding with the same volume as the trapezoidal coil type winding.
附图中的主要标号有:定子基体1、定子绕组2、动子基体3、海尔贝克永磁阵列4、第一线圈芯11~第四线圈芯14、第一梯形线圈21~第八梯形线圈28、直线电机一个周期的长度L,半线圈芯长度h c,绕组层厚度为H c。
The main symbols in the drawings are: stator base 1,
具体实施方式 Detailed ways
下面结合附图对本发明做详细说明。 The present invention will be described in detail below in conjunction with the accompanying drawings.
参见图1,一种梯形线圈型永磁无铁直线电机,该电机包括定子基体1、定子绕组2、动子基体3、海尔贝克永磁阵列4。动子位于定子正上方并留有气隙,在定子基体1上缠绕有定子绕组2,定子绕组2由梯形线圈互连构成,梯形线圈是两条元件边的截面均为梯形的线圈,在动子基体3下表面安装海尔贝克永磁阵列4,定子基体1和动子基体3由铝合金材料制成。海尔贝克永磁阵列4中的“箭头”代表永磁体磁化方向;定子绕组2中的“点”符号代表电流方向为正x轴方向,“叉”符号代表电流方向为负x轴方向。
Referring to FIG. 1 , a trapezoidal coil type permanent magnet ironless linear motor includes a stator base 1 , a
另外,电机的边端效应可以通过以下措施来减小:将永磁阵列的深度(图1的x轴方向)尺寸设计得比绕组电流层的深度尺寸小,并在x轴方向上将永磁阵列放置在绕组电流层的正中央;通过将产生边端效应的线圈切除(即y轴方向上位于永磁阵列边缘的线圈不通电流)。涉及边端效应的研究文献包括《Magnetically levitated planar actuator with moving magnets: Electromechanical analysis and design》。 In addition, the edge effect of the motor can be reduced by the following measures: the depth of the permanent magnet array (the x-axis direction in Figure 1) is designed to be smaller than the depth of the winding current layer, and the permanent magnet array is designed in the x-axis direction The array is placed in the center of the current layer of the winding; by cutting off the coil that produces the edge effect (that is, the coil located at the edge of the permanent magnet array in the y-axis direction does not pass current). Research literature involving edge effects includes "Magnetically levitated planar actuator with moving magnets: Electromechanical analysis and design".
参见图2,现有的海尔贝克永磁无铁直线电机多采用薄层线圈构成的绕组,薄层线圈元件边的截面为矩形,其中,A和A′是用于构成A相绕组的薄层线圈的两条元件边,B和B′是用于构成B相绕组的薄层线圈的两条元件边,C和C′是用于构成C相绕组的薄层线圈的两条元件边。薄型线圈具有容易使用模具加工和安装简单的特点。涉及薄层线圈的研究文献包括《Comparison of Two Types of PM Linear Synchronous Servo and Miniature Motor With Air-Cored Film Coil》和《Analytical Force Calculations for High-Precision Planar Actuator With Halbach Magnet Array》。 Referring to Figure 2, the existing Halbach permanent magnet ironless linear motors mostly use windings composed of thin-layer coils, and the cross-section of the side of the thin-layer coil elements is rectangular, where A and A' are the thin layers used to form the A-phase winding The two element sides of the coil, B and B' are the two element sides of the thin-layer coil used to form the B-phase winding, and C and C' are the two element sides of the thin-layer coil used to form the C-phase winding. Thin coils feature easy mold processing and simple installation. Research literature involving thin-layer coils includes "Comparison of Two Types of PM Linear Synchronous Servo and Miniature Motor With Air-Cored Film Coil" and "Analytical Force Calculations for High-Precision Planar Actuator With Halbach Magnet Array".
参见图3,本发明的定子基体1在一个周期内从左至右分别由第一线圈芯11、第二线圈芯12、第三线圈芯13、第四线圈芯14组成;定子绕组2在一个周期内由第一梯形线圈21~第八梯形线圈28构成,其中,第一梯形线圈21套装在第一线圈芯11的上下两侧,第二梯形线圈22套装在第二线圈芯12的左右两侧,第三梯形线圈23套装在第三线圈芯13的上下两侧,第四梯形线圈24套装在第四线圈芯14的左右两侧,第五梯形线圈25套装在第一线圈芯11的左右两侧,第六梯形线圈26套装在第二线圈芯12的上下两侧,第七梯形线圈27套装在第三线圈芯13的左右两侧,第八梯形线圈28套装在第四线圈芯14的上下两侧;第一梯形线圈21、第二梯形线圈22、第三梯形线圈23、第四梯形线圈24互连构成A相定子绕组,其中第一梯形线圈21的上侧元件边与第二梯形线圈22的右侧元件边互连,第二梯形线圈22的左侧元件边与第三梯形线圈23的上侧元件边互连,第三梯形线圈23的下侧元件边与第四梯形线圈24的左侧元件边互连,第四梯形线圈24的右侧元件边与下一周期的第一梯形线圈21的下侧元件边互连;第五梯形线圈25、第六梯形线圈26、第七梯形线圈27、第八梯形线圈28互连构成B相定子绕组,其中第五梯形线圈25的右侧元件边与第六梯形线圈26的下侧元件边互连,第六梯形线圈26的上侧元件边与第七梯形线圈27的右侧元件边互连,第七梯形线圈27的左侧元件边与第八梯形线圈28的上侧元件边互连,第八梯形线圈28的下侧元件边与下一周期的第五梯形线圈25的左侧元件边互连。A相定子绕组所通电流相位超前B相定子绕组所通电流90度,用于形成定子行波磁场。
Referring to Fig. 3, the stator base 1 of the present invention is composed of a
参见图4,本发明的梯形线圈型绕组可以产生正弦性极好的气隙磁场,高次谐波几乎可以完全忽略,进而可以大幅降低采用薄层线圈所产生的5次、9次脉动力。举例来说,当梯形线圈长底边长度等于0.25倍直线电机一对磁极的长度L(即直线电机一个周期的长度),绕组层厚度H c接近0.25倍直线电机一对磁极长度L,半线圈芯长度h c接近0的时候,基波比例高达99.9%。采用电磁场专业仿真软件Ansys建模并获取计算结果,再用专业数学工具Matlab对计算结果进行谐波分析,最后得到图4所示的分析结果。 Referring to Fig. 4, the trapezoidal coil winding of the present invention can generate an air-gap magnetic field with excellent sine, and high harmonics can be almost completely ignored, thereby greatly reducing the 5th and 9th pulsation forces generated by thin-layer coils. For example, when the length of the long base of the trapezoidal coil is equal to 0.25 times the length L of a pair of magnetic poles of the linear motor (that is, the length of one cycle of the linear motor), the thickness of the winding layer H c is close to 0.25 times the length L of a pair of magnetic poles of the linear motor, half the coil When the core length h c is close to 0, the fundamental wave ratio is as high as 99.9%. The electromagnetic field professional simulation software Ansys is used to model and obtain the calculation results, and then the professional mathematical tool Matlab is used to conduct harmonic analysis on the calculation results, and finally the analysis results shown in Figure 4 are obtained.
参见图5,一种梯形线圈型永磁无铁直线电机,海尔贝克永磁阵列的强侧磁场含有基波、5次、9次等谐波分量,薄层线圈型2相绕组产生的磁场包含基波、3次、5次、7次、9次等谐波分量,薄层线圈型3相绕组产生的磁场包括基波、5次、7次、11次等谐波分量。根据麦克斯韦应力张量法和图5的分析结果可知,采用梯形线圈替代现有海尔贝克永磁无铁直线电机的薄层线圈后,可以大幅降低采用薄层线圈时电机产生的5次、9次脉动力,进而提高电机的高精度定位能力。 See Figure 5, a trapezoidal coil type permanent magnet ironless linear motor. The strong side magnetic field of the Halbach permanent magnet array contains fundamental, 5th, and 9th harmonic components, and the magnetic field generated by the thin-layer coil type 2-phase winding contains Fundamental wave, 3rd, 5th, 7th, 9th and other harmonic components, the magnetic field generated by thin-layer coil type 3-phase winding includes fundamental wave, 5th, 7th, 11th and other harmonic components. According to Maxwell's stress tensor method and the analysis results in Figure 5, it can be seen that the use of trapezoidal coils to replace the thin-layer coils of the existing Halbach permanent magnet ironless linear motor can greatly reduce the 5th and 9th pulsation forces generated by the motor when thin-layer coils are used , thereby improving the high-precision positioning capability of the motor.
计算所用样机的主要参数包括:直线电机一个周期的长度L=25.4mm、永磁体高度=6.35mm、永磁体深度=91mm、永磁体剩磁=1.3T、相对磁导率=1、线圈最大电流密度=1.5 ′ 106 A′m-2、绕组层厚度H c=6.35mm、半线圈芯长度h c=0mm。采用电磁场专业仿真软件Ansys建模并获取计算结果,再用专业数学工具Matlab对计算结果进行谐波分析,最后得到图5所示的磁场谐波分析结果。 The main parameters of the prototype used in the calculation include: the length of one cycle of the linear motor L = 25.4mm, the height of the permanent magnet = 6.35mm, the depth of the permanent magnet = 91mm, the residual magnetism of the permanent magnet = 1.3T, the relative permeability = 1, the maximum current of the coil Density = 1.5 ′ 10 6 A′m -2 , winding layer thickness H c =6.35mm, half coil core length h c =0mm. The electromagnetic field professional simulation software Ansys is used to model and obtain the calculation results, and then the professional mathematical tool Matlab is used to conduct harmonic analysis on the calculation results, and finally the magnetic field harmonic analysis results shown in Figure 5 are obtained.
另外,从图5可以看出,梯形线圈型绕组产生的基波磁场只有相同体积的薄层线圈型绕组的50%左右,根据麦克斯韦应力张量法可知,梯形线圈型电机的电磁力的基波分量也只有相同体积的薄层线圈型电机的50%左右,也就是说,梯形线圈型直线电机特别适用于对力能密度要求不高,但对力的平滑性要求很高的一些高精度伺服领域,例如半导体加工产业等。 In addition, it can be seen from Figure 5 that the fundamental magnetic field generated by the trapezoidal coil winding is only about 50% of that of the thin-layer coil winding of the same volume. According to the Maxwell stress tensor method, the fundamental wave component of the electromagnetic force of the trapezoidal coil motor is also Only about 50% of the thin-layer coil type motor with the same volume, that is to say, the trapezoidal coil type linear motor is especially suitable for some high-precision servo fields that do not require high force-energy density but require high force smoothness. For example, the semiconductor processing industry, etc.
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