RU2267851C2 - THREE-PHASED TWO-LAYER SPLIT (q=5,25) WINDING OF ELECTRIC MACHINES - Google Patents

Abstract

FIELD: electric engineering, electro-mechanical engineering, possible use for three-phased asynchronous and synchronous electric machines.

SUBSTANCE: three-phased split (q=5,25) winding of electric machines is made 2p=8c-polar with grouping 6 5 5 5 in z=63c grooves of 12c coil groups with numbers 1Γ...12(c)Γ with concentric coils with their average step by grooves y_c=8, integer number c=1,2,..., numbers i', i=1...6 coils in groups starting from outer one, 2w_c coils of groove. In acc to invention, in groups of 1Γ...4Γ pf first grouping, six-coiled group 1Γ has coil steps y_m'=13-2(i'-1) with coil numbers (1-x)w_c in i=1 and 6, and five-coil ones - y'_m'=12-2(i'-1) with coil numbers (1+x)w_c in i'=3 of group 3Γ for w_c coils in remaining groups coils, while said distribution of not even-coiled coils is repeated in each following grouping, where x=0,47.

EFFECT: decreased differential dissipation σ_D of symmetric m'=3-zoned split (q=z/3p=5,25) winding.

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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).

Known loop two-layer symmetrical m = 3-phase windings, 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 with q = z / m'p = N / d and d≥4 create harmonic MDSs in the series ν = m'k / d ± 1 [ibid, p. 450], including the lowest ones (ν <1 ) with a significant increase in differential scattering σ _d , where ± k is an integer giving the order of the harmonic ν> 0 when it is forward (+), or reverse (-) rotation.

The invention aims to reduce differential scattering σ _d m '= 3-zone fractional (q = z / 3p = 21/4 = 5.25, d = 4) windings with a grouping of coils in a series of 6 5 5 5 [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 = 2.625, d '= 8 with the grouping 3 3 2 3 3 2 3 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 = 5.25) winding with a grouping of 5 5 5 5, performed by a two-layer 2p = 8c-pole in z = 63c grooves of 12s coil groups with numbers 1Г ... 12 (with ) D with concentric coils with an average step along the grooves y _k = 8, the whole number c = 1, 2, ..., numbers i ', i = 1 ... 6 coils in groups, starting from the outer, 2w _{to the} turns groove:

in groups 1G ... 4G of the first group, the six-coil group 1G has coil steps y _pi = 13-2 (i-1) with the number of turns in (1) w _k at i = 1 and 6, and five-coil y ' _pi = 12-2 (i'-1) with the number of turns (1 + x) w _k in i '= 3 of the 3G group with 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 = 0.47.

Figure 1 shows a scan of the groove layers of the proposed winding at 2p = 8 (s = 1), z = 63 with numbers 1 ... 63, 12s = 12 coil groups with numbers 1G ... 12G (marked groups 1G, 4G, 7G, 10G of the first phase), by alternating phase zones in the sequence A-B-C of the upper and X, Y, Z lower layers, where the blackened grooves contain (2-x) w _{to the} turns, and are constructed in FIGS. 2 and 3 (according to triangular grid) its MDS polygons at x = 0 (Fig.2) and x = 0.5 (Fig.3). With c = 2, 3, ... the winding has 2p = 8c = 16, 24, ..., z = 63c = 126, 189 ... and the sweep of Fig. 1 is repeated c = 2, 3, ... times . The winding at m '= 3 zones is connected 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; 5G, 8G, 11G, 2G with the beginning of 5G in phase II; 9G, 12G, 3G, 6G with the beginning of 9G in phase III, and the phases can be conjugated by a star (Y), or a triangle (Δ).

For the winding of Fig. 1, when q = _21/4 = 5.25 (N = 21, d = 4), y _pi = 13-2 (i-1) = 13, 11, 9, 7, 5, 3 for six-coil groups, y ' _pi = 12-2 (I'-1) = 12, 10, 8, 6, 4 five-coil (y _k = 8) winding coefficient K _vol.o with equal-coil coils (x = 0) is determined by the coefficients K _y = sin (90 ° y _k / τ _p ) of shortening (at τ _p = z / 2p = 7.875, y _p = 8), the distribution K _p = sin (60 °) / Nsin (60 °) / N) and is equal to K _about.o = K _at K _p = 0.82708. With unequal coils, a value is added to K _vol.o. , depending on the non- _uniformity index x of groups 1G and 7G along the phase symmetry axis: x (0.999689-0.521435-0.56332) = - x0.085066 with K _yi = sin ( 90 ⁰ y _pi / τ _p ) = 0.999689 (y ' _pi = 8) and 0.521435 (y _pi = 13), 0.563320 (y _pi = 3), then K _about at K _about.N · = 17,36866 is equal to:

From the MDS polygons of FIGS. 2 and 3 (in the center, the unit current vectors of the phase zones A-Z-B-X-C-Y are shown) is determined by the relations

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.I. 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 x _opt = 0.47 is calculated, which corresponds to σ _{d% mission} : for x _opt = 0.47-z _e = 3 (Nx) = 3 · 20.53 = 61.59 - the equivalent number of completely filled grooves, K _rev = 0.84407, R ² _d = 366.587 / 21, R _o = z _e K _rev / pπ = 61, 59.84407 / 4π, σ _{d.% Min} = 2.00, and at x = 0 - σ _d% = 3.86, i.e. σ _d% at x _opt = 0.47 decreases by 3.86 / 2.0- = 1.93 times; taking into account the increase in K _about its effectiveness is equal to K _eff = (0.84407 / 0.82708) (3.86 / 2.0) (z _e / z) = 1.93.

Note that m '= 6-zone winding with 2p = 8, z = 63, 6p = 24 groups, q = z / 6p = 2.625, for _n = 6, the parameters K _ob = 0.8890 and σ _d% = 2 correspond , 13, i.e. the winding of figure 1 with x _opt = 0.47 exceeds it by 2.13 / 2.0 = 1.065 times.

Thus, the proposed m ′ = 3-zone winding is characterized by an increased K _rev , a decreased σ _d% and more efficient K _eff = 1.93 times in comparison with an equal-turn winding; it is simpler than m '= 6-zone winding in manufacturability due to half the number (3p) of coil groups and surpasses it in differential scattering by 1,065 times.

Claims (1)

Three-phase fractional (q = 5.25) winding of electric machines is 2p = 8s-pole with a grouping of 5 5 5 5 in z = 63c grooves of 12s coil groups with numbers 1G ... 12 (s) G with concentric coils with an average of the groove step y _k = 8, the total number c = 1.2 ..., numbers i ', i = 1 ... 6 coils in groups, starting from the outer, 2w _{to the} turns of the groove, characterized in that in groups 1G ... 4G of the first grouping, the six-coil group 1G has coil steps y _{m '} = 13-2 (i-1) with the number of turns (1-x) -w _k in i = 1 and 6, and five-coil ones are y' _{m '} = 12-2 (i'-1) with the numbers of turns (1 + x) in _a w i '= 3 groups 3G at w _{to the} coils in the remaining coils c claims, wherein said distribution neravnovitkovyh coils is repeated in each successive grouping, where x = 0.47.

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