CN213124126U - Ten-pole eight-tooth-slot reluctance type rotary transformer - Google Patents
Ten-pole eight-tooth-slot reluctance type rotary transformer Download PDFInfo
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- CN213124126U CN213124126U CN202022340952.1U CN202022340952U CN213124126U CN 213124126 U CN213124126 U CN 213124126U CN 202022340952 U CN202022340952 U CN 202022340952U CN 213124126 U CN213124126 U CN 213124126U
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Abstract
The utility model provides a ten-pole eight-tooth slot reluctance type rotary transformer, which comprises a stator and a rotor; the stator is provided with a tooth slot and a winding; the number of tooth slots of the stator is less than the number of poles; the number of the tooth grooves is 8; the number of poles is 10; the tooth grooves of the stator comprise a first tooth groove, a second tooth groove, a third tooth groove, a fourth tooth groove, a fifth tooth groove, a sixth tooth groove, a seventh tooth groove and an eighth tooth groove; the winding is arranged on the tooth space, and the element center line is arranged on the tooth space center line; the first tooth groove is provided with a first element; the second tooth groove is provided with a second element; the third tooth groove is provided with a third element; the fourth tooth groove is provided with a fourth element; a fifth element is arranged on the fifth tooth groove; the sixth tooth groove is provided with a sixth element; the seventh tooth groove is provided with a seventh element; the eighth tooth socket is provided with an eighth element. According to the ten-pole eight-tooth-slot reluctance type rotary transformer provided by the invention, the size and the volume of the rotary transformer are reduced, and the problem that the output potential error of the reluctance type rotary transformer with the number of poles larger than that of tooth slots is larger is solved.
Description
Technical Field
The utility model relates to a reluctance type resolver field specifically relates to ten utmost point eight tooth grooves reluctance type resolver.
Background
Because of their sufficient accuracy, good reliability and ability to withstand harsh environmental conditions, reluctance resolvers have been widely used in various applications, for example, in the field of electric vehicles, which are currently being vigorously developed, resolvers have been the second choice as position sensors for drive motors. The drive motors all have a fixed number of pole pairs, and correspondingly, the reluctance resolver used as the position sensor also has a corresponding number of pole pairs. In order to obtain a reluctance type resolver with sufficient accuracy, in electromagnetic design, after the pole pair number is determined, the selection and determination of the number of slots is a key issue.
In the conventional design principle of the reluctance resolver, the number of poles cannot be larger than the number of slots. The tooth-open slot can generate tooth harmonic, the tooth harmonic can generate a tooth harmonic magnetic field, and the tooth harmonic magnetic field can be superposed on a fundamental wave magnetic field (main magnetic field); the amplitude of the tooth harmonic magnetic field is reduced along with the increase of the number of tooth grooves and is increased along with the reduction of the number of tooth grooves; when the number of tooth grooves is reduced and even is lower than the number of poles, the amplitude of a tooth harmonic magnetic field is not negligible relative to a main magnetic field; the cogging-related potential induced in the secondary output winding by the tooth harmonic magnetic field also becomes quite large, and this potential induced by the tooth harmonic magnetic field is superimposed on the output fundamental potential so as to affect the variation law of the output potential of the resolver, thereby causing significant errors.
When the magnetic field flux passes through the air gap, each harmonic wave exists in addition to the fundamental wave, a harmonic component varying with the number of slots is inevitably present, and the magnetic flux of this harmonic component is also inevitably superimposed on the main magnetic field of the fundamental wave to induce an electric potential.
In order to reduce the error, the conventional reluctance type rotary transformer increases the number of tooth grooves as much as possible, and such technical requirements can be met for a large-sized rotary transformer. However, this cannot be achieved in the case of a resolver with limited external dimensions. Since when the external size of the resolver is small, increasing the number of slots causes the slots to be too small and the teeth to be too narrow to be machined. A reluctance resolver capable of simultaneously realizing low error and small volume with the number of poles larger than the number of slots is urgently needed to be developed.
SUMMERY OF THE UTILITY MODEL
To the defects in the prior art, the utility model aims at providing a ten utmost points eight tooth grooves reluctance type resolver.
According to the utility model, the ten-pole eight-tooth slot reluctance type rotary transformer comprises a stator and a rotor;
the stator is provided with a tooth slot and a winding;
the number of tooth slots of the stator is less than the number of poles;
the number of the tooth grooves is 8;
the number of poles is 10;
the tooth grooves of the stator comprise a first tooth groove, a second tooth groove, a third tooth groove, a fourth tooth groove, a fifth tooth groove, a sixth tooth groove, a seventh tooth groove and an eighth tooth groove;
the first tooth groove, the second tooth groove, the third tooth groove, the fourth tooth groove, the fifth tooth groove, the sixth tooth groove, the seventh tooth groove and the eighth tooth groove are sequentially arranged on the stator;
the winding is arranged on the tooth space, and the element center line is arranged on the tooth space center line;
the winding comprises a first element, a second element, a third element, a fourth element, a fifth element, a sixth element, a seventh element and an eighth element;
the first tooth groove is provided with a first element;
the second tooth groove is provided with a second element;
the third tooth groove is provided with a third element;
the fourth tooth groove is provided with a fourth element;
a fifth element is arranged on the fifth tooth groove;
the sixth tooth groove is provided with a sixth element;
the seventh tooth groove is provided with a seventh element;
the eighth tooth socket is provided with an eighth element.
Preferably, the ratio of the number of turns of the sine-phase winding to the cosine-phase winding of the first element is + 0.207: +0.5, + represents the winding direction of the winding.
Preferably, the ratio of the number of turns of the sine phase winding to the cosine phase winding of the second element is-0.5: -0.207, -representing the winding direction of the winding, -representing the winding direction opposite to the winding direction represented by +.
Preferably, the ratio of the number of turns of the sine-phase winding to the cosine-phase winding of the third element is + 0.5: -0.207.
Preferably, the ratio of the number of turns of the sine-phase winding to the cosine-phase winding of the fourth element is-0.207: +0.5.
Preferably, the number of turns ratio of the sine phase winding to the cosine phase winding of the fifth element is-0.207: -0.5.
Preferably, the number-of-turns ratio of the sine-phase winding to the cosine-phase winding of the sixth element is + 0.5: +0.207.
Preferably, the seventh element has a ratio of turns of the sine-phase winding to the cosine-phase winding of-0.5: +0.207.
Preferably, the number of turns ratio of the sine phase winding to the cosine phase winding of the eighth element is + 0.207: -0.5.
Preferably, the ratio of the number of turns of the sine-phase winding to the cosine-phase winding of the first element is + 0.207: +0.5, + represents the winding direction of the winding;
the turn ratio of the sine phase winding to the cosine phase winding of the second element is-0.5: -0.207, -representing a winding direction of the winding, -representing a winding direction opposite to the winding direction represented by +;
the turn ratio of the sine phase winding to the cosine phase winding of the third element is + 0.5: -0.207;
the turn ratio of the sine phase winding to the cosine phase winding of the fourth element is-0.207: + 0.5;
the turn ratio of the sine phase winding to the cosine phase winding of the fifth element is-0.207: -0.5;
the turn ratio of the sine phase winding to the cosine phase winding of the sixth element is + 0.5: + 0.207;
the turn ratio of the sine phase winding to the cosine phase winding of the seventh element is-0.5: + 0.207;
the number of turns ratio of the sine phase winding to the cosine phase winding of the eighth element is + 0.207: -0.5;
the air gap delta between the rotor and the stator enables the air gap magnetic field distribution wave curve to be sinusoidal.
Compared with the prior art, the utility model discloses following beneficial effect has:
1. the size and the volume of the rotary transformer are reduced by setting the number of tooth grooves of the reluctance type rotary transformer to be smaller than the number of poles;
2. the influence of the electric potential induced by the magnetic field of the higher harmonic component on the output fundamental wave electric potential is eliminated by setting the number of turns of elements in each tooth slot of the stator to be distributed according to a rule, and the problem that the output electric potential error of the reluctance type rotary transformer with the number of poles larger than that of the tooth slots is larger is solved;
3. the shape and size of the rotor are set to correct the air gap magnetic field to be sine-shaped, so that the influence of the electric potential induced by the tooth harmonic magnetic field on the output fundamental wave electric potential is eliminated, and the problem that the output electric potential error of the reluctance type rotary transformer with the number of poles larger than the number of tooth slots is larger is solved.
Drawings
Other features, objects and advantages of the invention will become more apparent upon reading of the detailed description of non-limiting embodiments with reference to the following drawings:
fig. 1a is a schematic diagram of the distribution of the excitation phase winding of a ten-pole eight-slot reluctance resolver;
fig. 1b is a schematic diagram of the cosine phase winding distribution of a ten-pole eight-slot reluctance resolver;
FIG. 1c is a schematic diagram of the distribution of sinusoidal phase windings of a ten-pole eight-slot reluctance resolver;
FIG. 2 is a schematic view of a rotor of a ten-pole eight-slot reluctance resolver;
fig. 3 is a schematic structural view of a ten-pole eight-slot reluctance resolver.
In the figure:
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Detailed Description
The present invention will be described in detail with reference to the following embodiments. The following examples will assist those skilled in the art in further understanding the present invention, but are not intended to limit the invention in any way. It should be noted that various changes and modifications can be made by one skilled in the art without departing from the spirit of the invention. These all belong to the protection scope of the present invention.
Examples
In the reluctance type resolver, the waveform of the air-gap magnetic field and the selection of the number of slots are very important factors. After the number of the tooth grooves of the stator 1 is determined, the shape of the tooth grooves is determined according to the requirements of structure, processing and wire inserting, and the geometric dimension of the opening of the tooth grooves is determined. The air gap field, which is determined by the slot shape and the size and shape of the slot opening, is then determined, and its effect on the secondary winding output potential is determined.
Furthermore, another important factor is the design of the shape of the rotor 2. The field winding of a reluctance type resolver belongs to a concentrated winding, and thus its magnetic potential can be regarded as a square wave form. In order to obtain a sinusoidal air gap field, the shape of the rotor 2 needs to be optimally designed, and the formed flux guide is distributed in a sinusoidal manner, so that the square wave magnetic potential also forms the sinusoidal air gap field distribution. In the reluctance resolver, the generation of harmonic potential is affected by the rotor 2 in addition to the number of slots of the stator 1. Therefore, by studying an error curve and comprehensively designing the tooth space shape and the magnetic pole shape of the rotor 2, the effects of mutual error compensation and offset can be achieved, so that the tooth harmonic is reduced or eliminated, the influence of the electric potential induced by the tooth harmonic magnetic field on the fundamental wave electric potential is eliminated, and the high-precision output electric potential is obtained. The expression for the air gap field is as follows:
in the formula, theta is the mechanical rotation angle of the rotor 2 and changes along with the rotation of the rotor, B (theta) is an expression that the air gap magnetic field changes along with theta, Z is the number of tooth grooves, B0Is a constant component in the air-gap field, BpIs a fundamental component, B, corresponding to the pole pair number PzIs the tooth harmonic magnetic field related to the number of tooth slots,the phase difference at the spatial angle position, which is a function of the tooth harmonics and a function related to the pole pair number P, is a fixed value.
The expression of the secondary winding output potential is as follows:
Uc(theta) is a cosine phase output expression, Us(theta) is a sine phase output expression, U2mIs the magnitude of the output potential, UzIs the magnitude of the secondary side potential related to the tooth harmonics.
Two factors that contribute to errors in the output potential are the tooth harmonic component and the higher harmonic component in the output potential. The higher harmonic components are eliminated by adopting the winding form, and for the sake of clarity, an air gap magnetic field expression and a secondary winding output potential expression are not listed.
And the shape and size of the rotor 2 are designed to adjust the air gap, so that the magnetic conductance component opposite to the expression of the air gap magnetic field can be added to offset the magnetic flux component of the tooth harmonic generated by the tooth slotting, and the elimination or great reduction of the tooth harmonic potential is realized.
The utility model provides a ten utmost points eight tooth grooves reluctance type rotary transformer.
Fig. 1a, 1b, and 1c are schematic winding distribution diagrams of a reluctance resolver having a number of poles greater than the number of slots, where fig. 1a is an excitation phase winding, R1 and R2 are excitation phases, fig. 1c is a sine phase winding, S2 and S4 are sine phases, fig. 1b is a cosine phase winding, S1 and S3 are cosine phases, the number of turns is "+" and "-" different, when viewed from an outgoing line end of the winding diagram, the incoming line is "+", the outgoing line is "-", and a vertical straight line with a number sign is a portion of the winding located in the slot core. Each phase winding has two element side conductors in each slot, which belong to two different elements. The winding drawn by the solid line is positioned on the upper layer of the tooth socket, and the winding drawn by the dotted line is positioned on the lower layer of the tooth socket; the non-vertical straight line segment in the hexagon represents the connecting part of the element exposed outside the cogging core. Each phase winding has an element side conductor at the upper layer of each slot and an element side conductor at the lower layer of each slot, so that each phase winding has two element side conductors at the upper and lower layers of each slot. Each tooth slot is internally provided with six element side conductors which belong to an excitation phase winding, a sine phase winding and a cosine phase winding.
According to the utility model provides a ten utmost point eight tooth grooves reluctance type rotary transformer, including stator 1 and rotor 2. The stator 1 is provided with tooth grooves and windings; the number of tooth grooves of the stator 1 is less than the number of poles, preferably, the number of tooth grooves Z is 8, the number of poles is 10, and then the number of pole pairs P is 5; the tooth grooves of the stator 1 comprise a first tooth groove, a second tooth groove, a third tooth groove, a fourth tooth groove, a fifth tooth groove, a sixth tooth groove, a seventh tooth groove and an eighth tooth groove; the first tooth groove, the second tooth groove, the third tooth groove, the fourth tooth groove, the fifth tooth groove, the sixth tooth groove, the seventh tooth groove and the eighth tooth groove are sequentially arranged on the stator 1; the winding is arranged on the tooth space, and the element center line is arranged on the tooth space center line; the winding comprises a first element, a second element, a third element, a fourth element, a fifth element, a sixth element, a seventh element and an eighth element; the first tooth groove is provided with a first element; the second tooth groove is provided with a second element; the third tooth groove is provided with a third element; the fourth tooth groove is provided with a fourth element; a fifth element is arranged on the fifth tooth groove; the sixth tooth groove is provided with a sixth element; the seventh tooth groove is provided with a seventh element; the eighth tooth socket is provided with an eighth element.
The effective turns of the sine phase winding of the winding in each tooth slot are distributed according to the sine rule, namely the following formula is satisfied:
wherein i is the number of tooth grooves, NsiEffective number of turns, W, of sinusoidal phase winding in slot number iefThe number of effective turns of the winding is P, the number of pole pairs is P, and the number of tooth grooves is Z;
the effective turns of the cosine phase windings of the windings in each tooth slot are distributed according to the cosine law, namely the following formula is satisfied:
in the formula, NciThe effective number of turns of the cosine phase winding in the slot with slot number i.
Setting the number of elements of the sine phase winding and the cosine phase winding equal to the number of tooth slots Z equal to 8, as shown in fig. 1b and fig. 1c, the sine phase winding and the cosine phase winding both have 8 hexagonal elements, the number of conductors of each slot of the winding is equal to the algebraic sum of the conductors of the element edges belonging to different elements in the upper layer and the lower layer of one tooth slot, and the effective number of turns of the sine phase winding of the winding in each tooth slot satisfies the following formula:
Nsi=nsi-ni-1;
in the formula, nsiNumber of element side conductors of sinusoidal phase winding in slot with slot number i, ni-1The number of element side conductors in the tooth socket with the tooth socket serial number of i-1;
the effective number of turns of the cosine phase winding of the winding in each tooth slot satisfies the following formula:
Nci=nci-ni-1;
in the formula, nciThe number of element-side conductors of the cosine-phase winding in the slot with slot number i.
The number of turns of each element can be any number as long as the algebraic sum of the numbers of the upper and lower layers of conductors must be consistent with the algebraic sum Andthe specification of (1). Thus, the turns ratio of each element will have an infinite number nsiAnd nciBut the number of effective conductors is the same.
Effective conductor number S of sinusoidal phase windingefIs determined by the following formula, and is unique:
in the formula, ns(i-1)The number of conductors on the element side of the sine phase winding in the tooth slot with the tooth slot serial number of i-1 is shown;
effective conductor number S of cosine phase windingefcIs determined by the following formula, and is unique:
in the formula, nc(i-1)The number of element-side conductors of the cosine-phase winding in the slot with slot number i-1.
The actual number of turns for each element can be determined by the following equation:
however, the sum of the actual number of turns of each element obtained by the above formula can be very different, wherein there must be one scheme of the number of turns of each element, which constitutes the smallest sum of the calculated numbers. Therefore, the selection of the turn number scheme is optimized by finding out S under the condition of satisfying the above formulaefsAnd SefcFor the smallest scheme, SsminAnd ScminThus setting SefsIs a minimum value Ssmin,SsminSatisfies the following formula:
setting SefcIs a minimum value Scmin,ScminSatisfies the following formula:
minimum value S of number of effective conductors according to sine phase windingsminAnd the minimum value S of the effective conductor number of the cosine phase windingcminAnd determining the proportion of the turns of each element of the winding in each tooth slot according to the following table:
the "+" and "-" signs in the table represent the directions of the elements. According to the proportion, the number of turns of each element is designed according to the requirements of the excitation voltage and the output transformation ratio. In the table, the number of turns when the proportionality coefficient is 1 is the effective turn number N of the sine phase winding in the tooth slot with the tooth slot serial number isiAnd the effective number of turns N of the cosine phase winding in the slot with slot number iciIn the expressionThe element ratio setting in the table eliminates the influence of the electric potential induced by the magnetic field of the higher harmonic component on the output fundamental wave electric potential. The ratio of turns in the table is: the ratio of the number of turns of the sine phase winding to the number of turns of the cosine phase winding of the first element is + 0.207: +0.5, the ratio of the number of turns of the sine phase winding to the cosine phase winding of the second element is-0.5: 0.207, the ratio of the number of turns of the sine phase winding and the cosine phase winding of the third element being + 0.5: -0.207, the ratio of the number of turns of the sine phase winding and the cosine phase winding of the fourth element being-0.207: +0.5, the ratio of the number of turns of the sine-phase winding to the cosine-phase winding of the fifth element is-0.207: -0.5, the sixth element having a ratio of the number of turns of the sine phase winding to the cosine phase winding of + 0.5: +0.207, the turn ratio of the sine-phase winding to the cosine-phase winding of the seventh element is-0.5: +0.207, the ratio of the number of turns of the sine-phase winding to the cosine-phase winding of the eighth element is + 0.207: -0.5.
Preliminarily determining the shape of the rotor 2, at which time the stator 1 is designed, and preliminarily determining the inner hole diameter d and the minimum air gap delta of the rotor 2 as shown in fig. 20And a maximum air gap deltamaxThe rotor 2 profile can then be represented by the air gap δ by:
in the formula, θ is a mechanical rotation angle of the rotor 2.
According to the given size of the stator 1 and the initially determined shape of the rotor 2, simulating the magnetic field of the rotary transformer to obtain an air gap magnetic field distribution waveform curve;
and adjusting the air gap delta to ensure that the air gap magnetic field distribution wave curve obtained by simulation is sinusoidal. In this case, the tooth harmonic components associated with the tooth slot are negligible, and the airgap field is expressed as follows:
B(θ)=B0+BpcosPθ;
at this time, the tooth harmonic component related to the tooth slot is negligible, and the expression of the secondary winding output potential is as follows:
Uc(θ)=U2mcosPθ;
Us(θ)=U2msinδ。
calculating a minimum air gap delta from the air gap delta0And a maximum air gap deltamaxThe shape of the rotor 2 is determined, and the design of the stator 1 and the design of the rotor 2 are determined at this time, so that the ten-pole eight-tooth-slot reluctance resolver shown in fig. 3 is obtained.
In the description of the present application, it is to be understood that the terms "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", and the like indicate orientations or positional relationships based on those shown in the drawings, and are only for convenience in describing the present application and simplifying the description, but do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and be operated, and thus, should not be construed as limiting the present application.
The foregoing description of the specific embodiments of the invention has been presented. It is to be understood that the present invention is not limited to the specific embodiments described above, and that various changes or modifications may be made by those skilled in the art within the scope of the appended claims without departing from the spirit of the invention. The embodiments and features of the embodiments of the present application may be combined with each other arbitrarily without conflict.
Claims (10)
1. A ten-pole eight-tooth-slot reluctance type rotary transformer is characterized by comprising a stator (1) and a rotor (2);
the stator (1) is provided with tooth grooves and windings;
the number of tooth grooves of the stator (1) is less than the number of poles;
the number of the tooth grooves is 8;
the number of poles is 10;
the tooth grooves of the stator (1) comprise a first tooth groove, a second tooth groove, a third tooth groove, a fourth tooth groove, a fifth tooth groove, a sixth tooth groove, a seventh tooth groove and an eighth tooth groove;
the first tooth groove, the second tooth groove, the third tooth groove, the fourth tooth groove, the fifth tooth groove, the sixth tooth groove, the seventh tooth groove and the eighth tooth groove are sequentially arranged on the stator (1);
the winding is arranged on the tooth space, and the element center line is arranged on the tooth space center line;
the winding includes a first element, a second element, a third element, a fourth element, a fifth element, a sixth element, a seventh element, and an eighth element;
the first tooth groove is provided with a first element;
the second tooth groove is provided with a second element;
the third tooth groove is provided with a third element;
the fourth tooth groove is provided with a fourth element;
a fifth element is arranged on the fifth tooth groove;
the sixth tooth groove is provided with a sixth element;
the seventh tooth groove is provided with a seventh element;
the eighth gear groove is provided with an eighth element.
2. The ten-pole eight-slot reluctance-type resolver according to claim 1, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the first element is + 0.207: +0.5, + represents the winding direction of the winding.
3. The ten-pole eight-slot reluctance-type resolver according to claim 2, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the second element is-0.5: -0.207, -representing the winding direction of the winding, -representing the winding direction opposite to the winding direction represented by +.
4. The ten-pole eight-slot reluctance-type resolver according to claim 3, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the third element is + 0.5: -0.207.
5. The ten-pole eight-slot reluctance-type resolver according to claim 3, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the fourth element is-0.207: +0.5.
6. The ten-pole eight-slot reluctance-type resolver according to claim 3, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the fifth element is-0.207: -0.5.
7. The ten-pole eight-slot reluctance-type resolver according to claim 3, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the sixth element is + 0.5: +0.207.
8. The ten-pole eight-slot reluctance-type resolver according to claim 3, wherein the seventh element has a turn ratio of-0.5 for the sine-phase winding and the cosine-phase winding: +0.207.
9. The ten-pole eight-slot reluctance-type resolver according to claim 3, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the eighth element is + 0.207: -0.5.
10. The ten-pole eight-slot reluctance-type resolver according to claim 1, wherein the ratio of the number of turns of the sine-phase winding and the cosine-phase winding of the first element is + 0.207: +0.5, + represents the winding direction of the winding;
the turn ratio of the sine phase winding to the cosine phase winding of the second element is-0.5: -0.207, -representing a winding direction of the winding, -representing a winding direction opposite to the winding direction represented by +;
the turn ratio of the sine phase winding to the cosine phase winding of the third element is + 0.5: -0.207;
the turn ratio of the sine phase winding to the cosine phase winding of the fourth element is-0.207: + 0.5;
the turn ratio of the sine phase winding to the cosine phase winding of the fifth element is-0.207: -0.5;
the turn ratio of the sine phase winding to the cosine phase winding of the sixth element is + 0.5: + 0.207;
the number of turns ratio of the sine phase winding to the cosine phase winding of the seventh element is-0.5: + 0.207;
the number of turns ratio of the sine phase winding to the cosine phase winding of the eighth element is + 0.207: -0.5;
and an air gap delta between the rotor (2) and the stator (1) enables the air gap magnetic field distribution wave curve to be sinusoidal.
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