RU2267207C2 - THREE-PHASE TWO-LAYER SPLIT (q=4,75) WINDING OF ELECTRIC MACHINES - Google Patents

Abstract

FIELD: electric radio engineering and electric mechanical engineering, possible use in three-phase asynchronous and synchronous electric machines.

SUBSTANCE: three-phase two-layer split (q=4,75) winding is made 2p=8c-polar two-layered with grouping 5 5 5 4 in z=57c grooves of 12c coil groups with numbers 1Γ...12(c)Γ with concentric coils having average step by grooves y_c=7, integer value c=1,2,..., numbers i',i=1...5 coils in groups, starting from outer one, 2w_c of each groove. In accordance to invention, in groups 1 Γ...4 Γ of first grouping five-coil groups have coil steps y_gi=11-2(i-1) with coil numbers (1-x)w_c in i=5 of groups 1Γ,3Γ and in i=1 of group 2Γ,(1+x)w_c in i=3 of group 2Γ, and four-coil one 4Γ - y'_gi=10-2(i'-1) with coil numbers (1+x)w_c in i'=2 and 3 for w_c coils in remaining coils of groups, while said distribution of not even-coil coils is repeated in each following grouping, where x=0,48.

EFFECT: decreased differential dissipation σ_d of symmetric m'=3-zone split (q=z/3p=4,75) winding.

3 dwg

Description

The invention relates to three-phase windings of electrical AC machines, can be used on a stator of three-phase asynchronous and synchronous machines, a phase rotor of asynchronous motors (HELL).

Loop double-layer symmetrical m = 3-phase windings are known, performed by 2-pole in z grooves from m'p coil groups with equal-step or concentric coils with their average step in grooves at _n ≈ z / 2p and the number of grooves per pole and phase q = z / m'p, whole or fractional, where m 'is the number of phase zones per pair of poles, equal to m' = m = 3 - three-zone, or m '= 2m = 6 - six-zone windings [Voldek A.I. Electric cars. L .: Energy, 1978, S. 392-393]. Fractional windings at q = z / m'p = N / d create harmonic MDSs in the series ν = m'k / d ± 1 [ibid, p. 450], including the lowest ones (ν <1) for d≥ 4 with a significant increase in differential scattering σ _d , where ± k is an integer giving the order of harmonic ν> 0 with its direct (+) or reverse (-) rotation.

The invention aims to reduce differential scattering σ _d m '= 3-zone fractional (q = z / 3p = 19/4 = 4.75, d = 4) windings with a grouping of coils in a series of 5 5 5 4 [Livshits-Garik M Windings of AC Machines / Transl. from English M.-L.: SEI, 1959, p.224], equivalent to m '= 6-zone winding at q' = z / 6p = q / 2 = 2,375, d '= 8 with the grouping 3 2 3 2 2 3 2 2, but it is easier to manufacture due to half the number (3p) of coil groups.

The solution of this problem is achieved by the fact that for a three-phase fractional (q = 4.75) winding with a grouping of 5 5 5 4, performed by a two-layer 2p = 8c-pole in z = 57c grooves from 12s coil groups with numbers 1Г ... 12 (with ) T with concentric coils with an average of the grooves at step _k = 7, c = an integer 1, 2, ..., non-i ', i = 1 ... 5 in the groups of coils, starting from the outside of, _{to the} windings 2 each groove:

Group 1D ... 4D first grouping pyatikatushechnye groups have coils steps _pi y = 11-2 (i-1) with the numbers of turns (1-x) w i = _k in 5 groups 1G, 3G and i = 1 group 2r , (1 + x) w _k in i = 3 of the 2G group, and the four- _coil 4G-y ' _pi = 10-2 (i'-1) with the number of turns (1 + x) w _k in i' = 2 and 3 for w _{to the} turns in the remaining coils of the groups, and the indicated distribution of unequal coils is repeated in each subsequent grouping, where x = 0.48.

Figure 1 shows a scan of the groove layers of the proposed winding at 2p = 8 (c = 1), z = 57 with numbers 1 ... 57, 12c = 12 coil groups with numbers 1G ... 12G (marked groups 1G, 4G, 7G, 10G of the first phase), by alternating phase zones in the sequence ABC of the upper and X, Y, Z lower layers, and in FIGS. 2 and 3 its MDS polygons are constructed (on a triangular grid) at x = 0 (FIG. 2) and x = 0.5 (figure 3). With, for example, c = 2, the winding has 2p = 8c = 16, z = 57c = 114, and the sweep of FIG. 1 is repeated twice. The winding at m '= 3 zones is connected in phases in the usual way with sequentially-consistent inclusion of phase groups: 1G, 4G, 7G, 10G with the beginning of the phase from the beginning of 1G in phase I; 3G, 6G, 9G, 12G with the beginning of 3G in phase II; 5G, 8G, 11G, 2G with the beginning of 5G in phase III; phases can mate into a star or triangle.

For the winding of Fig. 1, when q = _19/4 = 4.75 (N = 19, d = 4), for _pi = 11-2 (i-1) = 11, 9, 7, 5, 3 for five-coil groups, y ' _pi = 10-2 (i'-1) = 10, 8, 6, 4 four- _coil (y _k = 7) winding coefficient K _vol.o for equal-coil coils (x = 0) is determined by the coefficients K _y = sin ( 90 ° _{to the} y / τ _n) shortening coils (with τ _n = z / 2p = 7,125, y _k = 7), distribution K _p = sin (60 °) / Nsin (60 ° / N) and is equal to K _ob.o = K _at K _p = 0.82710. When neravnovitkovyh coils By _ob.o added to the value dependent on the index x and neravnovitkovosti determined considering shear axes groups 1G, 7G phase angles of ± α _p = 360 ° / z = 120 ° / 19 relating to 4D, 10D, coinciding with the axis phase symmetry for 4G 10G + - x (0,9814515 + 0,9694003 + 0,999620-0,656752 ) = + x2,293720 _yi when K = sin (90 ° from _pi / τ _n) = 0.9814515 ( y ' _pi = 8), 0.9694003 (y' _pi = 6), 0.99962 (y _pi = 7), 0.656752 (y _pi = 11), for 1G + 7G-2xcosα _n · 0.614213 = -x1,220970 _yi when K = 0.614213 (y _pi = 3) and x (2,293720-1,22097) / 19 = + x0,056461, then K and _an average pitch in _p.sr are:

и

and

Of the polygons MDS figure 2 and 3 (in the center shows the unit vectors of the currents of the lubricant zones A-Z-B-X-C-Y) is determined by the ratios

differential scattering coefficient σ _d characterizing the quality of the winding by the harmonic composition of its MDS, where R ² _d is the square of the average radius j = 1 ... N of the groove points, R _o is the radius of the circle for harmonic ν = 1 [Popov V. Determination and optimization of the parameters of three-phase windings along the MDS polygons // Electricity, 1997, No. 9, p. 53-55]:

then, according to (1) - (3), from the condition d (σ _d ) / d (x) = 0, the optimal value X _opt = 0.48 is calculated, which corresponds to σ _{d% min} : for x _opt = 0.48-K _rev = 0.8542, R ² _d = 291.712 / 19, R _o = 57 · 0.8542 / 4π and σ _{d% min} = 2.27, and at x = 0-σ _d% = 4.70, i.e. σ _d% at x _opt = 0.48 decreases by 4.70 / 2.27 = 2.07 times; taking into account the increase in K _{about the} efficiency of the winding is equal to K _eff = (0,8542 / 0,8271) (4,70 / 2,27) = 2,14 at y _pp = 7, 10.

Note that m '= 6-zone winding with 2p = 8, z = 57, 6p = 24 groups, q = z / 6p = 2,375, for _n = 8, the parameters K _ob = 0.9373, σ _d% = 2 , 78, i.e. the winding of figure 1 with x _opt = 0.48 exceeds it by 2.78 / 2.27 = 1.22 times.

Thus, the proposed m '= 3-zone winding is characterized by an increased K _rev , reduced σ _d% and more efficient in K _eff = 2.14 times in comparison with an equal-turn winding; it is simpler m '= 6-zone winding in manufacturability due to half the number (3p) of coil groups.

Claims (1)

Three-phase fractional (q = 4.75) windings of electric machines are carried out with a group of 5 5 5 4 two-layer 2p = 8c-pole in z = 57c grooves of 12s coil groups with numbers 1G ... 12 (s) G, with concentric coils at Their average pitch in the grooves is _k = 7, the total number c = 1.2 ..., numbers i ', i = 1 ... 5 coils in groups, starting from the outer, 2w _to each groove, characterized in that groups 1G ... 4G of the first group, five-coil groups have coil steps at _ni = 11-2 (i-1) with the number of turns (1-x) w _to i = 5 groups 1G, 3G and i = 1 groups 2G, (1 + х) w _к in i = 3 of the group 2Г, and the four-coil 4Г-у ' _ni = 10-2 (i'-1) with numbers in (1 + x) w _to in i '= 1 and 3 for w _to turns in the remaining coils of the groups, and the indicated distribution of unequal coils is repeated in each subsequent grouping, where x = 0.48.

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