SU1649623A1 - Multipolar synchro resolver - Google Patents

Abstract

The invention relates to electrical engineering and can be used to create multi-pole rotating transformers (MW), phase shifters and other information machines. The purpose of the invention is to improve the accuracy of MW consists of a rotor magnetic circuit having Zi teeth, a stator magnetic circuit having Za, on which sinusoidally distributed windings with the number of pole pairs p are placed. The numbers Zi and 2.1 - p have a common factor ai, the numbers Z2 and Zi + p have a common factor 32, the number of turns Wji covering the teeth of the rotor magnetic core, each winding satisfy the Zi / ai ratio ai m 2 WE-I H-zi / ai (i - 1) 0, and the number of turns of ii Wj2 covering the stator magnet teeth, each winding is satisfied a2 Z2 / 32 CONFORMANCE 2 Wf2 + Z2 / a2 (i - 1) 0, where b is the number that takes in each equality by one value from the set 1.2, .., Zi / ai, 12 - numbers that take in each equality one value from the set 1.2. , 22/32, J1 and J2 - the numbers of the rotor and the stator 3 respectively, respectively,

Description

The invention relates to electrical engineering and can be used to create high-precision information electric machines such as a rotating transformer (BT).

The purpose of the invention is to improve accuracy by completely suppressing the windings of the harmonic rotor on the stator windings Z2 p (where Z2 is the number of teeth of the stator magnetic core) and in the stator windings on the rotor windings Zi + p (where Zi is the number of teeth of the rotor magnetic core).

Figure 1 shows the construction principle of the proposed multi-pole VT; figure 2 - the winding of the rotor, an example

fulfillment; FIG. 3 shows a stator winding, an exemplary embodiment.

W consists of coaxially arranged stationary stator housing 1 (Fig. 1) carrying the magnetic core 2, and a rotary housing 3 of the rotor carrying the magnetic core 4. On the magnetic conductors 2 and 4 of the stator and the rotor windings 5 are placed. The winding is installed in slots 6-30 of the rotor and in the slots 31-57 stator.

Both magnetic circuit 2 and 4 have the number of teeth, not multiples of the number of pairs of poles of a multi-pole VT, and carry on themselves two quadrature (shifted in position by

magnetic conductor - degrees) sinusoidally distributed windings.

The strongest harmonics distorting the accuracy are the harmonics of the order of Zi ± p and Z2 ± p. where Zt and Zz are the number of teeth of the rotor and stator magnetic cores, respectively, in particular harmonics of the order of Zi + p and Zz + p.

WT is performed with the number of teeth of the rotor magnet rotor Zi, having a common factor ai with the number 7.1 + p, and with the number of teeth of the stator magnetic conductor Zz. having a common factor of 32 with the number Zi + p. The number of turns in the sections of each winding of the Wji rotor, covering the teeth of the magnetic circuit. numbered through J1 must satisfy zi-ratios

1 fx ,,. go w

, Јr I + T,

and the number of turns in sections Wj2 of each winding, covering the teeth of the stator magnetic circuit, numbered through J2. must satisfy z2 / 32 ratios oa

x

and where i is variable summation;

i are numbers taking in each equality one value from population 1,

ai

b - numbers, taking in each equality by one value from the totality 1,2-;

32

Ј:

“-

(2)

Ci + - (i - 1) - numeric values of numbered ai

ditch teeth ji magnetic rotor:

Z2

(g + - (1-1) numeric values nome-32

Ditch teeth J2 magnetic stator.

The fulfillment of the stated differences of a multipolar VT provides complete suppression in the Fourier decomposition of the magnetizing forces (NS) of the rotor windings of all harmonics, multiples of ai, including the harmonics Z2 + p (because Z2 + p by the condition is a multiple of ai.) the stator of all harmonics multiple to 32, including the Zi + p harmonic.

We take a device for a specific example of its implementation. We take the number of pole pairs p 8, the number of teeth of the rotor magnetic core Zi 25, the number of teeth of the magnetic conductors of the stator Z2 27, Wm 10 for both the rotor and the stator. The number of teeth of the magnetic circuit is chosen so that between the numbers Zi 25

0 5

0

five

five

0

0

five

0

five

and (Z2 + p) 27 + 8 35 there is a common factor ai 5, and between the numbers Z2 27 and Zi + p 25 + 8 33 there is a common factor

32 3.

Calculate the distribution of one winding of the rotor.

The calculation of one winding of the rotor is presented in table 1, columns 1-5. A similar calculation of the distribution of one stator winding is presented in Table 2, grids 1-5.

In tab. 1 and 2, the following designations are given: ji - numbers of the rotor teeth, g - numbers of the stator teeth. The axis of the first groove is counted at an angle of 45 degrees to the start. Therefore, when calculating the quadrature windings, their distribution will be proportional to sin p a (since the offset of the reference point by 90 el. Cosine will turn into a sine), which will give exactly the same distribution law, but when counting the numbers of the teeth, starting from the first .

Columns 5 show the rounded values of the numbers of turns covering the teeth ji of the rotor and J2 of the stator.

Check the calculated law (column 5, Table 1) of the distribution of the turns of the rotor winding to the satisfaction of equality (1). Because

Zi 25

- - 5, there will be five equalities.

31 o

Their left sides at ti 1

IV g ,,. i.Wu5 (

+ W, t + W, 6 + W21 7-2-5 + 9-iO -l,

at ti 2

tV | «- 4W

+ W, a + W, T + WK -9- -Y-6 + 0 + 6 1, with ti 3

 7 +

(e, § -; “-“) Јr s (i-i) 3 8

-t-W15-t-Wia-t-W23 -7 + iO-9- -5 0, with li 4

ZW z, ± W4.e (.. 0.W4 + W, +

i-1 Ј, + - (.-,,

+ W14 + W ,, 0;

ft + 5 (

 H

with f 1 5

a, s

 WK + W, n +

swei. (Hrz: wS45 (M) -w5

+ Wlc +,. -8 + + 3 0.

As can be seen from the calculations, equality (1) is not completely completed.

After the rounding up of the numbers of turns, covering the teeth 7 and 11, i.e. W is set to 9 instead of 10 and Wn is set to 4 instead of 5, equality (1) will be satisfied and the final winding law is given in column 6. This will give complete suppression of harmonics in the NA of the rotor windings that are multiples of 5, i.e. harmonics 5, 10, 15. 20, etc. including harmonic 35 (Za + p). which is impossible to suppress in the stator windings, i.e. can be suppressed only with the main (p 8) harmonic simultaneously.

Check the calculated law (column 5, table 2) of the distribution of turns of the stator winding to the satisfaction of equality (2). So

2.1 27 as - - 9. there will be 9 equalities.

32 o

Their left sides

with b. - one

AGZ

At d / -. w

Ј e + § | i-1))

 W, + W, 743-10 0,

with b. 2 Qi3

(i-0

W

i

-We + wll + w, 0 "- (,

with fe 3

IVU "VZX" -.r

-W $ + W, t + W2, -2-7 + 10 1,

with b 4

a 2.

 W

HS

;

 ; W4,9 (i- () VVW, 3 + W22MO-4-6 0,

.}

with b 5

ЈVfc - “w M

 W5 + W1HWz3 -4-M ° -6 0 with fc 6

fV-; -0-tW- -W6 + NB + W24 - e- + 4-0, with fe 7

z: w zw7 + 9 (1v0

"

0

 Wr + W16 + Wes- 8-9 + 1 0, with h 8

, “W1r + W26“ s + 7 - m - o,

at i 9

wvfe (.- o I «« -.

:-( 0 + 5 + 5 0.

l

 W, + W, e + Wir

5 As can be seen from the calculations, equality (2) is not fully satisfied and an adjustment of the winding distribution is required. The data after changing the rounding of the number of turns to integers with all

0 equalities (2) are given in column b of table 2. Changes made: Instead of Wn 8, Wn 9 is set. Instead of L / 21 S, Wzi is set 9. The changes made to the distribution5 of the stator windings give a complete suppression of harmonics in multiples of 3 in their NA, i.e. harmonics 3, 6, 9, 12, etc., including harmonics 33 (Zi + p), which cannot be suppressed in the rotor winding, as it is suppressed

0 simultaneously with the suppression of the main (p + + 8) working harmonic.

Examples of the windings according to the final data of Tables 1 and 2 (columns 6) are given for the rotor in FIG. 2 and for the stator on

5 fig.Z. 2 and 3, the grooves of the magnetic circuit are numbered so that the first tooth of the rotor is located between the slots 6 and 7, the second tooth between the slots 7 and 8, etc., and the first tooth of the stator is located between the grooves 31

0 and 32, the second - between the slots 32 and 33, etc. At the frontal parts of the windings, the numbers of the turns covering them are written against each tooth, the sign against the chila indicates the direction of winding.

5 We confirm that the fulfillment of the signs of novelty in the form of the fulfillment of certain ratios of the number of teeth and equalities (1) and (2) leads to the suppression of the Zi + p and Z2 + p harmonics in the NS rotor windings and

0 stator.

The distribution curve of the magnetizing force along the air gap for sinusoidally distributed windings can be represented as

5oo

F (oc) 42- + 2 Ukco5kct4-bk sin koo),

k- where 27-2ff

 F ("t) Jcb, ak j F (et) cost del}

2 F (ot) sinko6doc, j

about

a is the angle along the bore of the magnetic circuit. To suppress the harmonics of k in the NA, one should perform the equality of a and v, which is achieved by the equalities of d – e

jF (oOeosl "x.clcc.Oj) 5; nko6do (0 (3

oo

Since the windings of each winding are connected in series and the same current I flows through them, the distribution of the NA will be proportional to the law of the distribution of the turns on the teeth of the magnetic circuit.

The function F (o) can be represented as a step curve. The value of this function against the J wave of the magnetic circuit will be equal to

Fj (oHW, (4)

Substitute (4) to the left side of the equality

(3) and by doing some transformations,

will get

„..

2

yr

FMcoskotoVOS I W; coskoЈ.do (

i z - 4

b; nk | 2LW: cosk "j

2frz

lF () s hkotdo6 3Z t W; s; hkotd "

 L j

G2

-JsJnkljjr WjeJnkotj4Q

Whereas, to suppress the harmonic k, instead of expression (3), the equalities

51 Wjcoskixj 0

G1

or

ZlWisinkKj 0

iwico5 |, m (i-o.0 50

j (

If between Z and k there is a common factor 55, then when J is changed from 1 to Z, l. 2nV.

 z

0-1) and

.1-n i,. h sln 4 1) J

repeated every time - values

J i the numerical repetitions of these functions will be at J value:

1) 1,1 + f .1 + 2f 1+ | (a-1)

2) 2,2 + | .2 + 2§ 2 + Z- (a-1)

......but, . . , and, and

) f.f.sf.;. z

Therefore, expressions (5) can be written in the following form:

J

H

1 W

.

. ,,.

(6)

about

five

0

five

Q

five

0

five

Thus, to destroy any harmonic k in the decomposition of the HC winding, the number of which has a common factor with the number of teeth of the magnetic circuit, it suffices to nullify all sums in square brackets of expressions (6), which is written by expression (1) for the rotor windings and expression (2) for stator windings. In our case, all harmonics that are multiples of ai are suppressed in the rotor windings, including harmonics 2.2 + P, and in the stator windings all harmonics that are multiples of A2, including the harmonic Zi + p, are suppressed.

The device works as follows.

When applied to one of the quadrature windings of the rotor, the supply voltage on the output windings of the stator, depending on the angular position of the rotor, imposes a voltage proportional to sin para cos cos. When the supply voltage is applied to the other (quadrature) rotor winding at the same reference point of the angles a, the voltage on the stator windings will be proportional to sin (p a + 90 °) and cos (p a + 90 °).

Multi-pole VT can also operate when powered by the stator windings, then the output windings will be rotor windings.

This technical solution without any additional costs allows to significantly improve the accuracy of the sine-cosine transformation in comparison with the prototype due to the complete elimination of harmonics in output voltages that are multiples of the common factors ai and for. the spectrum of which includes the harmonics Zi + p and Z2 + p of the decomposition of the NA windings, which

perfect sinusoidal winding performance.

Claims (2)

Claims and Multipole rotary transformer containing rotor and stator magnetic cores with numbers of teeth not multiple to the number of pole pairs carrying sinusoidally distributed sectioned windings, characterized by the fact that the number of teeth of the rotor magnetic circuit Zi has a common factor of 2.2 + p, the number of teeth of the stator magnetic circuit 2g has a common factor aa with the number Zi + p, the number of turns in the sections Wji of each winding, covering the teeth of the rotor magnetic core, where p is the number of pole pairs; ji are the numbers of the teeth of the rotor magnetic circuit; they satisfy but equations yy Z) Q; e (-) ai and the number of turns in sections Wp of each winding, covering the teeth of the stator magnetic circuit, where Ja are the numbers of the teeth of the stator magnetic circuit, satisfy the equations ar Zi .. .0 Xw. W ar (5-0 where i is variable summation; 10 fi are numbers taking in each equality one value from population 1, 2 ..., Zi / ai; (2 - numbers that take in each equality one value from the aggregate of Stent 1.2 ... 22/32; ti + - (I - 1) - numerical values of number 31 ditch teeth ji magnetic rotor; 22 20 b + - 0 1) numerical values of the teeth numbers J2 of the stator magnetic circuit. Table 1 table 2 L -Ll- JL-l-J-7-AlO -AX -Z-8 9 9 20 21 22 2324 7 -9 -I / 0-4 -8 in 3 -70 3 9 -7 -4 Yu-1 -9 7 5-Yu 9 -6-6 9 7 -Y 5 1PPPPPPPPPPPPPPPPPP1 3/32 33 34G 35 J5 3735 J5 40 4/42 "W 45 47 45 5/52 53 54 55 5557 hashish t 1 lu J FIG. 2 Fi & W