CN104052180B - A kind of multiple symmetric winding flux switch motor and design of Windings method thereof - Google Patents
A kind of multiple symmetric winding flux switch motor and design of Windings method thereof Download PDFInfo
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Abstract
本发明公开了一种多重对称绕组磁通切换电机及其绕组设计方法,该方法在发挥磁通切换电机绕组互补性的基础上,以每相感应电势最大化为原则,并通过优选相邻两套对称绕组之间的相位差,依次获得一相绕组的线圈构成、一套对称绕组的线圈组成以及所有相绕组的线圈连接形式。本发明的绕组设计方法思路明确,操作简单,本发明的多重对称绕组磁通切换电机具有空载感应电势正弦度高、绕组利用率高、转矩出力大和电磁转矩脉动小的特点,体现出优越的电机性能。
The invention discloses a magnetic flux switching motor with multiple symmetrical windings and a winding design method thereof. On the basis of giving full play to the complementarity of the windings of the magnetic flux switching motor, the method is based on the principle of maximizing the induced potential of each phase, and by optimizing two adjacent According to the phase difference between sets of symmetrical windings, the coil composition of one phase winding, the coil composition of a set of symmetrical windings and the coil connection form of all phase windings are obtained in sequence. The winding design method of the present invention is clear in thinking and easy to operate. The magnetic flux switching motor with multiple symmetrical windings of the present invention has the characteristics of high no-load induced potential sine degree, high winding utilization rate, large torque output and small electromagnetic torque ripple, reflecting the Superior motor performance.
Description
技术领域technical field
本发明属于电机绕组结构设计领域,涉及一种多重对称绕组磁通切换电机及其绕组设计方法。The invention belongs to the field of motor winding structure design, and relates to a magnetic flux switching motor with multiple symmetrical windings and a winding design method thereof.
背景技术Background technique
磁通切换型永磁电机具有转矩(功率)密度高、效率高、转子结构坚固等特性,特别适用于高性能驱动及高速应用领域。随着应用场合对电机系统功率等级、容错运行和可靠性等性能要求的不断提高,多相磁通切换型永磁电机越来越成为国内外各大高校与研究机构的重点课题,因为它不仅保留了普通三相磁通切换型永磁电机的优点,还在以下四个方面具有显著优势:The flux switching permanent magnet motor has the characteristics of high torque (power) density, high efficiency, and solid rotor structure, and is especially suitable for high-performance drive and high-speed applications. With the continuous improvement of performance requirements for the power level, fault-tolerant operation and reliability of the motor system in the application, the multi-phase flux switching permanent magnet motor has increasingly become a key topic for universities and research institutions at home and abroad, because it not only It retains the advantages of ordinary three-phase flux switching permanent magnet motors, and also has significant advantages in the following four aspects:
(1)在大功率应用场合,每相绕组所分配的功率等级在功率器件可承受范围内,使得标准功率模块能够直接使用。(1) In high-power applications, the power level allocated by each phase winding is within the acceptable range of the power device, so that the standard power module can be used directly.
(2)可靠性提高。对于对称m相电机,相邻两相矢量之间的相位差为2π/m。当某相绕组发生故障时,故障相所造成的功率损失占总体比例较小,增强了电机的容错性能;对于由x套中性点独立的n相对称绕组所组成的多相电机,当某相绕组发生故障时,直接切断该相绕组所在的该套n相对称绕组,即可使电机在不改变控制算法的情况下依然能够正常运行。(2) Reliability is improved. For a symmetrical m-phase motor, the phase difference between two adjacent phase vectors is 2π/m. When a phase winding fails, the power loss caused by the fault phase accounts for a small proportion of the total, which enhances the fault tolerance performance of the motor; for a multi-phase motor composed of x sets of n-phase symmetrical windings with independent neutral points, when a certain When a phase winding fails, the set of n-phase symmetrical windings where the phase winding is located is directly cut off, so that the motor can still operate normally without changing the control algorithm.
(3)随着相数的增加,由逆变器提供的电枢绕组电流所引起的空间谐波磁场幅值减小,从而可以减小转矩脉动。(3) As the number of phases increases, the amplitude of the space harmonic magnetic field caused by the armature winding current provided by the inverter decreases, thereby reducing the torque ripple.
(4)通过特定的定转子齿槽配合,可以有效增大定位力矩的频率,进而减小定位力矩的幅值,减小电机转矩脉动。(4) The frequency of the cogging torque can be effectively increased through the specific cogging of the stator and the rotor, thereby reducing the amplitude of the cogging torque and reducing the torque ripple of the motor.
然而,转矩脉动在永磁电机中是不可避免的问题,产生转矩脉动的主要原因有:定位力矩、每相空载感应电势谐波、直轴、交轴电感变化引起的磁阻转矩和加载的电枢电流波形畸变等。However, torque ripple is an unavoidable problem in permanent magnet motors. The main causes of torque ripple are: positioning torque, no-load induction potential harmonics of each phase, reluctance torque caused by direct axis and quadrature axis inductance changes And loaded armature current waveform distortion, etc.
现有磁通切换电机的绕组设计方法仅根据槽导体电势星形图和绕组互补性原则设计每相电枢绕组线圈的连接,并最终将多重对称绕组设计成完全对称分布的结构。该方法能够在一定程度上减少感应电势的谐波分量,从而提高每相感应电势的正弦度,但仍存在以下问题:谐波感应电势无法完全消除,因此由谐波感应电势引起的转矩脉动仍然存在;即使谐波感应电势可以忽略不计,但由电枢电流的谐波分量所引起的转矩脉动仍比较严重;不能保证每相空载感应电势具有较高的绕组因数,影响了每相空载感应电势基波分量的幅值和电机出力。The existing winding design methods of flux switching motors only design the connection of the armature winding coils of each phase according to the slot conductor potential star diagram and the principle of winding complementarity, and finally design the multiple symmetrical windings into a completely symmetrical distribution structure. This method can reduce the harmonic component of the induced potential to a certain extent, thereby increasing the sine degree of the induced potential of each phase, but there are still the following problems: the harmonic induced potential cannot be completely eliminated, so the torque ripple caused by the harmonic induced potential still exist; even if the harmonic induction potential is negligible, the torque ripple caused by the harmonic component of the armature current is still relatively serious; it cannot be guaranteed that each phase no-load induction potential has a high winding factor, which affects each phase The amplitude of the fundamental wave component of the no-load induction potential and the output of the motor.
发明内容Contents of the invention
技术问题:本发明提供一种每相绕组空载感应电势总谐波畸变率较小、电磁转矩平均值较高、且能有效抑制由空载感应电势或电枢电流中奇次谐波分量引起的电磁转矩脉动的多重对称绕组磁通切换电机,同时提供一种该电机的绕组设计方法。Technical problem: The present invention provides a winding no-load induced potential total harmonic distortion rate is small, the average value of electromagnetic torque is high, and can effectively suppress the odd harmonic components caused by no-load induced potential or armature current A magnetic flux switching motor with multiple symmetrical windings induced by electromagnetic torque ripple, and a winding design method for the motor is provided.
技术方案:本发明的多重对称绕组磁通切换电机绕组设计方法,针对多相磁通切换电机的x套n相对称绕组进行设计,包括如下步骤:Technical solution: The multi-symmetrical winding flux switching motor winding design method of the present invention is designed for x sets of n-phase symmetrical windings of a multi-phase flux switching motor, including the following steps:
1)根据电机绕组总相数m和线圈总个数N确定每相的线圈个数为N/m,然后将具有绕组互补性的两个线圈连接成一个线圈组,将感应电势相位差最小的N/(2m)个线圈组连接成一相绕组,从而得到第一相绕组的线圈构成,其中电枢绕组线圈总个数N为总相数m的偶数倍,即N=2km,k为正整数;1) Determine the number of coils per phase as N/m according to the total number of phases m of the motor winding and the total number of coils N, and then connect the two coils with complementary windings to form a coil group, and the phase difference of the induced potential is the smallest N/(2m) coil groups are connected to form a phase winding, so as to obtain the coil composition of the first phase winding, wherein the total number of armature winding coils N is an even multiple of the total phase number m, that is, N=2km, and k is a positive integer ;
2)根据n相对称绕组中各相绕组之间的相位关系,即一套n相对称绕组中相邻两相绕组之间的相位差为2π/n,确定与所述第一相绕组在同一套对称绕组的其他n-1相绕组的线圈构成,从而得到第一套n相对称绕组的构成;2) According to the phase relationship between the phase windings in the n-phase symmetric windings, that is, the phase difference between the adjacent two-phase windings in a set of n-phase symmetric windings is 2π/n, it is determined to be in the same phase as the first phase winding Set of coils of other n-1 phase windings of symmetrical windings, so as to obtain the composition of the first set of n-phase symmetrical windings;
3)根据下式确定相邻两套n相对称绕组之间的相位差θset:3) Determine the phase difference θ set between two adjacent sets of n-phase symmetrical windings according to the following formula:
其中,x为多重对称绕组磁通切换电机中n相对称绕组的个数,且x、n均为大于1的整数。Wherein, x is the number of n-phase symmetrical windings in the flux switching motor with multiple symmetrical windings, and both x and n are integers greater than 1.
4)根据所述步骤3)中确定的相位差θset,以及其他对称绕组与第一套对称绕组的相位关系(i-1)θset,依次确定其他x-1套对称绕组的线圈构成,其中i为对称绕组的序号,第一套对称绕组的序号取i=1,其他x-1套对称绕组的序号为i=2,3,…,x。4) According to the phase difference θ set determined in the step 3), and the phase relationship (i-1) θ set between other symmetrical windings and the first set of symmetrical windings, the coil composition of other x-1 sets of symmetrical windings is sequentially determined, Wherein i is the serial number of the symmetrical winding, the serial number of the first set of symmetrical windings is i=1, and the serial numbers of the other x-1 sets of symmetrical windings are i=2, 3, . . . , x.
本发明方法中,步骤1)中,在将具有绕组互补性的两个线圈连接成一个线圈组时,如果两互补线圈的空载感应电势相位差为180°,则反向串联;如果两互补线圈的空载感应电势相位差为0°,则正向串联。In the method of the present invention, in step 1), when two coils with winding complementarity are connected into a coil group, if the no-load induced potential phase difference of the two complementary coils is 180°, reverse series connection; if the two complementary coils The phase difference of the no-load induction potential of the coil is 0°, so it is forward connected in series.
本发明的多重对称绕组磁通切换电机,采用x套n相对称绕组,相邻两套n相对称绕组之间的相位差θset为:The magnetic flux switching motor with multiple symmetrical windings of the present invention adopts x sets of n-phase symmetrical windings, and the phase difference θset between two adjacent sets of n-phase symmetrical windings is:
其中,x为多重对称绕组磁通切换电机中n相对称绕组的个数,x、n均为大于1的整数,电机的总相数m=xn,线圈总个数N为总相数的偶数倍,即N=2km,k为正整数。Among them, x is the number of n-phase symmetrical windings in the multiple symmetrical winding flux switching motor, x and n are both integers greater than 1, the total number of phases of the motor is m=xn, and the total number of coils N is an even number of the total number of phases times, ie N=2km, k is a positive integer.
本发明多重对称绕组磁通切换电机的中,n相对称绕组由感应电势相位差最小的N/(2m)个线圈组连接成,线圈组由具有绕组互补性的两个线圈连接而成。In the magnetic flux switching motor with multiple symmetrical windings of the present invention, the n-phase symmetrical windings are formed by connecting N/(2m) coil groups with the smallest induced potential phase difference, and the coil groups are formed by connecting two coils with complementary windings.
本发明多重对称绕组磁通切换电机的上述优选方案中,如果两个互补线圈的空载感应电势相位差为180°,则反向串联;如果两个互补线圈的空载感应电势相位差为0°,则正向串联。In the above preferred scheme of the multiple symmetrical winding flux switching motor of the present invention, if the no-load induced potential phase difference of the two complementary coils is 180°, reverse series connection; if the no-load induced potential phase difference of the two complementary coils is 0 °, then forward in series.
本发明方法用于指导绕组线圈连接、每相绕组组成形式以及x套n相对称绕组之间相位差的选择,目的在于尽量增大空载感应电势基波绕组因数,减小谐波分量,并且抵消每套n相对称绕组电磁转矩的最大脉动分量,降低多相磁通切换型永磁电机的转矩脉动。本发明旨在提高电机绕组因数和空载感应电势正弦性的同时,减小转矩脉动,适用于发电机设计和电动机设计,既适合于纯永磁励磁电机,也适用于纯电励磁电机及混合励磁电机。The method of the invention is used to guide the winding coil connection, the composition form of each phase winding and the selection of the phase difference between x sets of n-phase symmetrical windings. The maximum pulsation component of the electromagnetic torque of each set of n-phase symmetrical windings is offset, and the torque pulsation of the multi-phase flux switching permanent magnet motor is reduced. The invention aims at improving the winding factor of the motor and the sinusoidality of the no-load induced potential while reducing the torque ripple. Hybrid excitation motor.
有益效果:与现有技术相比,本发明在考虑槽导体电势星形图和绕组互补性的基础上,将多相绕组的设计转化为多重对称绕组的设计。在本发明中,多相绕组的分布不再局限于完全对称结构,而是通过推导转矩脉动与相邻两套对称绕组之间的相位差的关系,以消除最大转矩脉动分量为目的,获得最优的相位差,使电机实现以下的优点:Beneficial effects: Compared with the prior art, the present invention converts the design of multi-phase windings into the design of multiple symmetrical windings on the basis of considering the potential star diagram of slot conductors and the complementarity of windings. In the present invention, the distribution of multi-phase windings is no longer limited to a completely symmetrical structure, but by deriving the relationship between the torque ripple and the phase difference between two adjacent sets of symmetrical windings, in order to eliminate the maximum torque ripple component, Obtaining the optimal phase difference enables the motor to achieve the following advantages:
1)采用互补连接,使得每相绕组空载感应电势的偶次谐波分量基本抵消,剩下的奇次谐波分量较小,使得每相绕组空载感应电势的总谐波畸变率较小,相应地减小谐波引起的转矩脉动分量;1) Complementary connection is adopted, so that the even harmonic components of the no-load induced potential of each phase winding are basically offset, and the remaining odd harmonic components are small, so that the total harmonic distortion rate of the no-load induced potential of each phase winding is small , correspondingly reduce the torque ripple component caused by harmonics;
2)每相绕组由感应电势相位差最小的线圈组连接而成,因而每相绕组空载感应电势的基波绕组因数高,接近1,使得每相空载感应电势的基波分量幅值得到有效提高,从而提高电机电磁转矩的平均值;2) Each phase winding is connected by the coil group with the smallest phase difference of the induced potential, so the fundamental winding factor of the no-load induced potential of each phase winding is high, close to 1, so that the amplitude of the fundamental component of the no-load induced potential of each phase can be obtained Effectively improve, thereby increasing the average value of the electromagnetic torque of the motor;
3)相邻两套n相对称绕组之间的相位差由对称绕组的相数n和套数x唯一确定,且计算公式简单明了,绕组设计步骤易操作;3) The phase difference between two adjacent sets of n-phase symmetrical windings is uniquely determined by the phase number n and the number x of symmetrical windings, and the calculation formula is simple and clear, and the winding design steps are easy to operate;
4)通过合理设计相邻两套n相对称绕组之间的相位差,空载感应电势中的奇次谐波分量引起的电磁转矩脉动得到进一步抑制,减小电机的抖动,从而提高电机运行的稳定性;4) By rationally designing the phase difference between two adjacent sets of n-phase symmetrical windings, the electromagnetic torque ripple caused by the odd harmonic component in the no-load induced potential is further suppressed, reducing the vibration of the motor, thereby improving the operation of the motor stability;
5)通过合理设计相邻两套n相对称绕组之间的相位差,电枢绕组中加载电流的奇次谐波分量引起的转矩脉动得到有效抑制。由于电枢电流由逆变器供给电机电枢绕组,其中不可避免存在谐波分量,严重影响电机转矩输出的稳定性。本发明的绕组设计方法,可以针对电枢电流中的奇次谐波分量引起的转矩脉动进行抑制或消除,有效提高了电机转矩质量,并降低对逆变器输出特性的要求,为电机的控制带来便利。5) By rationally designing the phase difference between two adjacent sets of n-phase symmetrical windings, the torque ripple caused by the odd harmonic component of the loading current in the armature winding is effectively suppressed. Because the armature current is supplied by the inverter to the armature winding of the motor, there are inevitably harmonic components in it, which seriously affect the stability of the motor torque output. The winding design method of the present invention can suppress or eliminate the torque ripple caused by the odd harmonic component in the armature current, effectively improve the torque quality of the motor, and reduce the requirements for the output characteristics of the inverter. control brings convenience.
附图说明Description of drawings
图1(a)是一台定子24槽转子22极磁通切换型永磁电机的横向剖视结构示意图。Fig. 1(a) is a schematic cross-sectional structure diagram of a permanent magnet motor with 24 slots in the stator and a 22-pole flux switching type permanent magnet motor.
图1(b)是一台定子24槽转子22极磁通切换型永磁电机的槽导体空载感应电势星形图。其中,线圈n’与n极性相反,相邻槽导体的电势矢量相位差为150°(电角度)。Figure 1(b) is a star diagram of the no-load induced potential of the slot conductor of a permanent magnet motor with 24 slots in the stator and a 22-pole flux switching permanent magnet motor. Among them, the polarity of coil n' is opposite to that of n, and the potential vector phase difference of adjacent slot conductors is 150° (electrical angle).
图2(a)是一台定子24槽转子22极磁通切换型永磁电机两套三相对称绕组互差30°的绕组矢量分布。Figure 2(a) shows the winding vector distribution of two sets of three-phase symmetrical windings with a mutual difference of 30° for a permanent magnet motor with 24 slots in the stator and a 22-pole flux switching permanent magnet motor.
图2(b)是一台定子24槽转子22极磁通切换型永磁电机两套三相对称绕组互差60°的绕组矢量分布。Figure 2(b) shows the winding vector distribution of two sets of three-phase symmetrical windings with a mutual difference of 60° for a permanent magnet motor with 24 slots in the stator and a 22-pole flux switching permanent magnet motor.
图3是一台定子24槽转子22极磁通切换型永磁电机在图2两种绕组分布下的转矩特性。Fig. 3 is the torque characteristics of a flux-switching permanent magnet motor with 24 slots in the stator and 22 poles in the rotor under the two winding distributions in Fig. 2 .
具体实施方式detailed description
下面结合实施例和说明书附图对本发明做进一步说明。The present invention will be further described below in conjunction with the embodiments and the accompanying drawings.
本发明的一种多重对称绕组磁通切换电机,包括定子1、转子4和转轴5,转子4与定子1相对,且转子4和定子1之间有间隙,转轴5固定连接在转子4上。所述的定子1和转子4均为凸极结构。定子1包括定子铁心单元和集中式电枢绕组线圈2。每个定子铁心单元包括两个U形定子铁心101和一块永磁体3,永磁体3嵌至在两个U形定子铁心101之间。永磁体3切向充磁,且相邻的两块永磁体3的充磁方向相反。相邻的两个定子铁心单元之间形成定子槽102。集中式电枢绕组线圈2穿过位于定子铁心单元两侧的定子槽102,缠绕在定子铁心单元上。电枢绕组线圈2的数量等于定子铁心单元的数量。定、转子铁心由导磁材料制成。永磁体3由永磁材料制成,优选由钕铁硼、铁氧体,或者钐钴制成。A magnetic flux switching motor with multiple symmetrical windings of the present invention includes a stator 1, a rotor 4 and a rotating shaft 5, the rotor 4 is opposite to the stator 1, and there is a gap between the rotor 4 and the stator 1, and the rotating shaft 5 is fixedly connected to the rotor 4. Both the stator 1 and the rotor 4 are salient pole structures. The stator 1 includes a stator core unit and a concentrated armature winding coil 2 . Each stator core unit includes two U-shaped stator cores 101 and a permanent magnet 3 embedded between the two U-shaped stator cores 101 . The permanent magnets 3 are magnetized tangentially, and the directions of magnetization of two adjacent permanent magnets 3 are opposite. A stator slot 102 is formed between two adjacent stator core units. The concentrated armature winding coil 2 passes through the stator slots 102 on both sides of the stator core unit and is wound on the stator core unit. The number of armature winding coils 2 is equal to the number of stator core units. The stator and rotor cores are made of magnetically permeable materials. The permanent magnet 3 is made of permanent magnet material, preferably NdFeB, ferrite, or samarium cobalt.
进一步,所述的电枢绕组线圈2的总数量N为总相数m的偶数倍,即N=2km,k为正整数。Further, the total number N of armature winding coils 2 is an even multiple of the total phase number m, that is, N=2km, and k is a positive integer.
进一步,所述的转子4可位于定子1的内部,也可位于定子1的外部。Further, the rotor 4 can be located inside the stator 1 or outside the stator 1 .
进一步,所述的多重对称绕组磁通切换电机既可以为纯永磁励磁电机,亦可以为纯电励磁电机,或混合励磁电机,包括在线充退磁记忆电机,并且,该电机既可以作发电运行,又可以作电动运行。Further, the flux switching motor with multiple symmetrical windings can be a pure permanent magnet excitation motor, a pure electric excitation motor, or a hybrid excitation motor, including an online charging and demagnetization memory motor, and the motor can be used for power generation , and can be used for electric operation.
与传统的磁通切换电机不同,本发明提出的多重对称绕组磁通切换电机,其电枢绕组可以分解成x套n相对称绕组,该电机的总相数m=xn,x、n为大于1的整数,故该电机又称x重n相对称绕组磁通切换电机。Different from the traditional flux switching motor, the multi-symmetric winding flux switching motor proposed by the present invention can decompose the armature winding into x sets of n-phase symmetrical windings. The total number of phases of the motor is m=xn, where x and n are greater than An integer of 1, so the motor is also called an x-heavy n-phase symmetrical winding flux switching motor.
本发明的创新之处为:该磁通切换电机的x重n相对称绕组采用本发明公开的绕组设计方法,具体的实施方案如下:The innovation of the present invention is: the x-fold n-phase symmetrical winding of the magnetic flux switching motor adopts the winding design method disclosed in the present invention, and the specific implementation plan is as follows:
1)首先根据总相数m和线圈总个数N确定每相的线圈个数为N/m,通常每两个线圈连接成一个线圈组,那么每相的线圈组个数为N/(2m)。基于槽导体电势星形图,将具有绕组互补性的每两个线圈串联成一个线圈组(若两个互补线圈的空载感应电势相位差为180°,则反向串联;若两个互补线圈的空载感应电势相位差为0°,则正向串联),由此一共形成N/2个线圈组,每个线圈组中的两个线圈感应电势的相位差为0°或180°,因此线圈组感应电势基波分量的分布因数为1,并且单个线圈感应电势中的偶次谐波分量相互消掉,使得线圈组空载感应电势的谐波含量降低;然后以每相绕组感应电势最大化为原则,将线圈组感应电势相位差最小的N/(2m)个线圈组连接成一相绕组,从而得到第一相绕组的线圈构成。1) Firstly, according to the total number of phases m and the total number of coils N, the number of coils in each phase is determined as N/m, usually every two coils are connected to form a coil group, then the number of coil groups in each phase is N/(2m ). Based on the potential star diagram of the slot conductor, every two coils with winding complementarity are connected in series to form a coil group (if the no-load induced potential phase difference of the two complementary coils is 180°, reverse series connection; if the two complementary coils The phase difference of the no-load induced potential is 0°, then it is forward connected in series), thus forming a total of N/2 coil groups, and the phase difference of the induced potential of the two coils in each coil group is 0° or 180°, so The distribution factor of the fundamental wave component of the induced potential of the coil group is 1, and the even harmonic components in the induced potential of a single coil cancel each other, so that the harmonic content of the no-load induced potential of the coil group is reduced; then the induced potential of each phase winding is the largest In principle, the N/(2m) coil groups with the smallest phase difference in the induced potential of the coil groups are connected into a phase winding, so as to obtain the coil composition of the first phase winding.
2)根据n相对称绕组中各相绕组之间的相位关系,即一套n相对称绕组中相邻两相绕组之间的相位差为2π/n,确定与所述第一相绕组在同一套对称绕组的其他n-1相绕组的线圈构成,从而得到第一套n相对称绕组的构成。2) According to the phase relationship between the phase windings in the n-phase symmetric windings, that is, the phase difference between the adjacent two-phase windings in a set of n-phase symmetric windings is 2π/n, it is determined to be in the same phase as the first phase winding The coils of the other n-1 phase windings of the set of symmetrical windings are formed, so as to obtain the composition of the first set of n-phase symmetrical windings.
3)确定相邻两套n相对称绕组之间的相位差。由x套n相对称绕组的电磁转矩公式可知,转矩脉动分量与相邻两套对称绕组之间的相位差有关。为简化推导过程,这里仅考虑由感应电势或电枢电流奇次谐波引起的转矩脉动,并且忽略幅值很小的脉动分量。3) Determine the phase difference between two adjacent sets of n-phase symmetrical windings. From the electromagnetic torque formula of x sets of n-phase symmetrical windings, it can be known that the torque ripple component is related to the phase difference between two adjacent sets of symmetrical windings. In order to simplify the derivation process, only the torque ripple caused by the induced potential or the odd harmonic of the armature current is considered here, and the ripple component with a small amplitude is ignored.
n相对称绕组电磁转矩的脉动分量Tpulse可以表示为:The pulsating component T pulse of the electromagnetic torque of the n-phase symmetrical winding can be expressed as:
其中,T2kn为2kn次转矩脉动分量的幅值,θ为转子位置电角度,为2kn次转矩脉动分量的初始相位角。Among them, T 2kn is the amplitude of the 2kn times torque ripple component, θ is the electrical angle of the rotor position, is the initial phase angle of the 2kn torque ripple component.
则x套n相对称绕组总电磁转矩的脉动分量Tpulse_x可以表示为x组n相对称绕组电磁转矩脉动分量的叠加:Then the pulsating component T pulse_x of the total electromagnetic torque of x sets of n-phase symmetric windings can be expressed as the superposition of the electromagnetic torque pulsation components of x sets of n-phase symmetric windings:
由上式可知,相邻两套n相对称绕组电磁转矩的2kn次脉动分量的相位差为2knθset。要使x组2kn次转矩脉动分量相互抵消,则2knθset应满足如下关系式:It can be seen from the above formula that the phase difference of the 2kn times pulsating component of the electromagnetic torque of two adjacent sets of n-phase symmetrical windings is 2knθ set . To make the 2kn torque ripple components of group x cancel each other out, the 2knθ set should satisfy the following relationship:
为消除最大转矩脉动分量,即k=1时的2n次转矩脉动分量,相邻两套对称绕组之间的优选相位差θset可以由上式化简得:In order to eliminate the maximum torque ripple component, that is, the 2nth torque ripple component when k=1, the optimal phase difference θ set between two adjacent sets of symmetrical windings can be simplified by the above formula:
说明当相邻两套对称绕组之间的相角差满足(4)时,即可抵消每套n相对称绕组中电磁转矩的最大脉动分量。It shows that when the phase angle difference between two adjacent sets of symmetrical windings satisfies (4), the maximum ripple component of electromagnetic torque in each set of n-phase symmetrical windings can be offset.
4)根据(4)中计算出的相位差,以及其他对称绕组与第一套对称绕组的相位关系(i-1)θset,依次确定其他x-1套对称绕组的线圈构成,其中i为对称绕组的序号,第一套对称绕组的序号取i=1,其他x-1套对称绕组的序号为i=2,3,…,x。4) According to the phase difference calculated in (4), and the phase relationship (i-1)θ set between other symmetrical windings and the first set of symmetrical windings, determine the coil composition of other x-1 sets of symmetrical windings in turn, where i is The serial numbers of the symmetrical windings, the serial numbers of the first set of symmetrical windings are i=1, and the serial numbers of the other x-1 sets of symmetrical windings are i=2,3,...,x.
按照上述流程设计多相磁通切换电机的多重对称绕组,既可以保证电机获得正弦度较高的相空载感应电势,又能使得绕组因数较大,提高电磁转矩的平均值,同时可以减小电磁转矩的脉动率,获得较高质量的转矩输出。Designing multiple symmetrical windings of a multi-phase flux switching motor according to the above process can not only ensure that the motor obtains a phase no-load induced potential with a higher sinusoidal degree, but also make the winding factor larger, increase the average value of the electromagnetic torque, and reduce the The pulsation rate of the small electromagnetic torque can obtain higher quality torque output.
以双重三相对称绕组磁通切换永磁电机为例,其常见的电机拓扑结构如图1(a)所示,定子上共24个集中式电枢绕组线圈,分别为电枢绕组线圈201、202、203、…、224。将这24个线圈设计成6相绕组形式,且可分解为两套三相对称绕组,即m=6,x=2,n=3。具体的绕组设计流程如下:Taking the flux-switched permanent magnet motor with dual three-phase symmetrical windings as an example, its common motor topology is shown in Figure 1(a). There are 24 centralized armature winding coils on the stator, which are armature winding coils 201, 202, 203, ..., 224. These 24 coils are designed in the form of 6-phase windings, and can be decomposed into two sets of three-phase symmetrical windings, ie m=6, x=2, n=3. The specific winding design process is as follows:
1)根据总相数m=6和线圈总个数N=24确定每相绕组的线圈个数为4,每相的线圈组个数为2。根据定子24槽转子22极磁通切换型永磁电机的槽导体电势星形图,如图1(b)所示,首先判断并获得具有绕组互补性的线圈组合,分别是线圈201(线圈213)与线圈207(线圈219)、线圈202(线圈214)与线圈208(线圈220)、线圈203(线圈215)与线圈209(线圈221)、线圈204(线圈216)与线圈210(线圈222)、线圈205(线圈217)与线圈211(线圈223)、线圈206(线圈218)与线圈212(线圈224),上述每个线圈组合中的两个线圈空载感应电势相位差为180°,通过反向串联,将两个互补线圈连接成一个线圈组,每个线圈不可重复组合,则一共形成12个相互独立的线圈组,分别是线圈201与线圈207、线圈202与线圈208、线圈203与线圈221、线圈204与线圈222、线圈205与线圈211、线圈206与线圈212、线圈213与线圈219、线圈214与线圈220、线圈215与线圈209、线圈216与线圈210、线圈217与线圈223、线圈218与线圈224。为保证相绕组感应电势基波分量的分布因数最接近1,将电势矢量相位差最小的两个线圈组连接成一相绕组。通过观察可知,线圈组201+207’与线圈组213+219’的电势矢量相位差为0°,则这两个线圈组串联形成的相绕组感应电势基波分量的分布因数为1,记该相绕组为A1。1) According to the total number of phases m=6 and the total number of coils N=24, the number of coils in each phase winding is determined to be 4, and the number of coil groups in each phase is 2. According to the slot conductor potential star diagram of the stator 24-slot rotor 22-pole flux switching permanent magnet motor, as shown in Fig. ) and coil 207 (coil 219), coil 202 (coil 214) and coil 208 (coil 220), coil 203 (coil 215) and coil 209 (coil 221), coil 204 (coil 216) and coil 210 (coil 222) , coil 205 (coil 217) and coil 211 (coil 223), coil 206 (coil 218) and coil 212 (coil 224), the phase difference of the two coil no-load induced potentials in each above-mentioned coil combination is 180 °, through Reverse series, connect two complementary coils into a coil group, each coil cannot be combined repeatedly, then a total of 12 mutually independent coil groups are formed, namely coil 201 and coil 207, coil 202 and coil 208, coil 203 and Coil 221, Coil 204 and Coil 222, Coil 205 and Coil 211, Coil 206 and Coil 212, Coil 213 and Coil 219, Coil 214 and Coil 220, Coil 215 and Coil 209, Coil 216 and Coil 210, Coil 217 and Coil 223 , coil 218 and coil 224 . In order to ensure that the distribution factor of the fundamental wave component of the induced potential of the phase winding is closest to 1, the two coil groups with the smallest potential vector phase difference are connected to form a phase winding. It can be seen from observation that the potential vector phase difference between the coil group 201+207' and the coil group 213+219' is 0°, then the distribution factor of the fundamental wave component of the induced potential of the phase winding formed by the two coil groups connected in series is 1. The phase winding is A1.
2)在三相对称绕组中,B1、C1相绕组分别与A1相绕组相差+120°、-120°电角度,因而可以方便地获得B1、C1相绕组的线圈构成,如图2(a)所示。从而确定了第一套三相对称绕组A1、B1、C1的线圈连接方式。为体现本发明的绕组设计方法的优点,这里列出了按照现有技术得到的A1相绕组连接形式,如图2(b)所示,A1相由线圈组201+207’和线圈组208+202’构成,这两个线圈组的电势矢量相位差为30°电角度,因此A1相感应电势基波分量的分布因数为0.966,比根据本发明设计出的A1相绕组分布因数低。2) In the three-phase symmetrical winding, the B1 and C1 phase windings are respectively +120° and -120° electrical angle different from the A1 phase winding, so the coil composition of the B1 and C1 phase windings can be easily obtained, as shown in Figure 2(a) shown. Thus, the coil connection mode of the first set of three-phase symmetrical windings A1, B1, and C1 is determined. In order to reflect the advantages of the winding design method of the present invention, the A1 phase winding connection forms obtained according to the prior art are listed here, as shown in Figure 2 (b), the A1 phase is composed of coil groups 201+207' and coil groups 208+ 202', the potential vector phase difference of these two coil groups is 30° electrical angle, so the distribution factor of the A1 phase induced potential fundamental wave component is 0.966, which is lower than the A1 phase winding distribution factor designed according to the present invention.
3)确定两套三相对称绕组之间的相位差θset。下面通过理论分析,以一台双重三相对称绕组磁通切换永磁电机为例,推导其两套三相对称绕组之间的最优相位差。3) Determine the phase difference θ set between the two sets of three-phase symmetrical windings. In the following, through theoretical analysis, taking a flux-switched permanent magnet motor with double three-phase symmetrical windings as an example, the optimal phase difference between its two sets of three-phase symmetrical windings is deduced.
对于三相对称交流同步电机,其电磁转矩表达式如下:For a three-phase symmetrical AC synchronous motor, the electromagnetic torque expression is as follows:
其中:T0为电磁转矩的直流量,即平均电磁转矩,T6k为6k次转矩脉动分量的幅值,θ为转子位置电角度,为6k次转矩脉动分量的初始相位角。可见,该电磁转矩由平均转矩分量和6的倍数次谐波转矩分量组成。Among them: T 0 is the DC amount of electromagnetic torque, that is, the average electromagnetic torque, T 6k is the amplitude of 6k torque ripple components, θ is the electrical angle of the rotor position, is the initial phase angle of the 6k torque ripple component. It can be seen that the electromagnetic torque consists of an average torque component and a multiple of 6 harmonic torque components.
对于双重三相对称绕组磁通切换永磁电机而言,其电磁转矩可表示为两台三相对称绕组电机的电磁转矩叠加:For a double three-phase symmetrical winding flux switching permanent magnet motor, its electromagnetic torque can be expressed as the electromagnetic torque superposition of two three-phase symmetrical winding motors:
对(6)式采用和差化积公式,即可得到:Using the sum-difference product formula for (6), we can get:
由(7)式可知,当cos(3kθset)=0时,6k次转矩脉动分量即可被消除。因此,要想最大程度地减小转矩脉动,可以对最大转矩脉动分量T6进行抵消,易得θset=30°。因此,在双重三相对称绕组磁通切换永磁电机中,当两套三相绕组之间的相位差为30°时,电磁转矩的6次脉动分量完全消除,此时转矩脉动以12次脉动为主,且脉动幅值很小。It can be known from formula (7) that when cos(3kθ set )=0, 6k torque ripple components can be eliminated. Therefore, in order to minimize the torque ripple, the maximum torque ripple component T 6 can be offset, and θ set =30° can be easily obtained. Therefore, in the dual three-phase symmetrical winding flux switching permanent magnet motor, when the phase difference between the two sets of three-phase windings is 30°, the 6th pulsation component of the electromagnetic torque is completely eliminated, and the torque pulsation is reduced by 12 The secondary pulsation is dominant, and the pulsation amplitude is very small.
4)另一套三相对称绕组A2、B2、C2与第一套三相对称绕组A1、B1、C1之间的相位差为30°,那么A2超前(或滞后)A1相30°、B2超前(或滞后)B1相30°、C2超前(或滞后)C1相30°。再根据槽导体电势星形图,便可轻易确定A2、B2、C2相绕组的线圈构成,如图2(a)所示。从而确定了整个双重三相对称绕组磁通切换永磁电机的电枢绕组连接形式。4) The phase difference between another set of three-phase symmetrical windings A2, B2, and C2 and the first set of three-phase symmetrical windings A1, B1, and C1 is 30°, then A2 leads (or lags) A1 phase by 30°, and B2 leads (or lagging) B1 phase by 30°, C2 leading (or lagging) C1 phase by 30°. According to the potential star diagram of the slot conductor, the coil composition of the A2, B2, and C2 phase windings can be easily determined, as shown in Figure 2(a). Therefore, the connection form of the armature winding of the double three-phase symmetrical winding flux-switching permanent magnet motor is determined.
图2(a)为θset=30°的不对称6相绕组分布(本发明的绕组设计方法);图2(b)为θset=60°的对称6相绕组分布(现有的绕组设计方法)。为说明本发明的绕组设计方法与现有的绕组设计方法相比具有优势,图3比较了双重三相对称绕组磁通切换电机在这两种绕组设计方法下的电磁转矩波形。通过比较可知,两套三相绕组在相位互差60°时,电磁转矩的脉动频率为基频的6倍,脉动幅值较大;当两套三相绕组相位互差30°时,电磁转矩的脉动频率为基频的12倍,脉动幅值很小,出力更大,从而验证了步骤3)的理论分析结果,体现出本发明的多重对称绕组磁通切换电机绕组设计方法具有创新性和优越性。Fig. 2 (a) is the asymmetrical 6-phase winding distribution (winding design method of the present invention) of θ set = 30°; Fig. 2 (b) is the symmetrical 6-phase winding distribution (existing winding design method) of θ set = 60° method). In order to illustrate that the winding design method of the present invention has advantages compared with the existing winding design methods, Fig. 3 compares the electromagnetic torque waveforms of the dual three-phase symmetrical winding flux switching motor under the two winding design methods. Through comparison, it can be seen that when the phase difference of two sets of three-phase windings is 60°, the pulsation frequency of the electromagnetic torque is 6 times of the fundamental frequency, and the pulsation amplitude is relatively large; when the phase difference of the two sets of three-phase windings is 30°, the electromagnetic torque The pulsation frequency of the torque is 12 times of the fundamental frequency, the pulsation amplitude is very small, and the output force is larger, thereby verifying the theoretical analysis result of step 3), and reflecting that the winding design method of the multi-symmetric winding magnetic flux switching motor of the present invention is innovative sex and superiority.
以上仅是本发明的优选实施方式,应当指出:对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,还可以做出若干可以预期的改进和等同替换,这些对本发明权利要求进行改进和等同替换后的技术方案,均落入本发明的保护范围。The above are only preferred embodiments of the present invention, and it should be pointed out that for those of ordinary skill in the art, without departing from the principle of the present invention, some conceivable improvements and equivalent replacements can also be made, which are essential to the present invention. The technical solutions after the claims are improved and replaced by equivalents all fall into the protection scope of the present invention.
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CN110071589A (en) * | 2019-04-26 | 2019-07-30 | 华中科技大学 | A kind of negative-phase sequence cascade rotor windings |
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