RU2268529C2 - THREE-PHASED TWO-LAYERED ELECTRO-MECHANICAL WINDING WITH 2p=14c, z=108 GROOVES WITH q=18/7 - Google Patents

Abstract

FIELD: electric engineering, possible use for technologies of electro-mechanical engineering, engineering and production of three-phased asynchronous and synchronous devices.

SUBSTANCE: three-phased two-layered electro-mechanical winding having 2p=14 poles within z=108 grooves and with q=18/7 with grouping of coils in accordance with row 3 3 2 3 2 3 2, repeated further for 6 times, is made of 6p=42 coil groups with numbers 1Γ,... 42Γ, with opposite connection of even coil groups in phases relatively to odd ones and with average step of coils across grooves being equal to value y_c=6. In accordance to the invention, in first grouping 1Γ,...7Γ first coil of groups 1Γ,6Γ and third coil of groups 2Γ,4Γ, groups 1Γ,2Γ,4Γ,6Γ with groove step value being equal to y_g=6 have (1-x)w_c coils each. External coils of concentric groups 3Γ,5Γ,7Γ with groove step value being equal to y_g=7,5 have (1+x)w_c coils each, while remaining coils of groups have w_c coils each. Distribution of not even-coiled coils with coils unevenness coefficient being equal to value x=0,40, as described in detail above, is repeated for each following grouping of coils in accordance with aforementioned row.

EFFECT: decreased differential dissipation.

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Description

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

Known loop double-layer symmetrical m = 3-phase, m '= 2m = 6-zone windings, performed by 2-pole in z grooves from 6p coil groups with equal-step or concentric coils with their average step in grooves y _to ≈z / 2p, number grooves per pole and phase q = z / 6р whole or fractional [Voldek AI Electric cars. L .: Energy, 1978, S. 392-393]. Fractional windings at q = z / 6p = N / d and d≥4 create harmonic MDSs in the series ν = 6k / d ± 1 [ibid, p. 450], including lower ones (ν <1) with increasing differential scattering σ _d , where ± k is an integer giving the order of the harmonic ν> 0 with its direct (+) or counter (-) rotation.

The invention aims to reduce the differential scattering m '= 6-zone symmetrical fractional winding at 2p = 14 poles and z = 108 grooves (q = z / 6p = 18/7, d = 7) with a group of coils in a series of 3 3 2 3 2 3 2 [Livshits-Garik M. Windings of AC machines / Per. from English M.-L .: SEI, 1959, p.224].

The solution of this problem is achieved by the fact that for a three-phase 2-layer winding at 2p = 14, z = 108 with a grouping of 3 3 2 3 2 3 2, repeated 6 times, performed from 6p = 42 coil groups with numbers 1G ... 42G at the average step of the coils in the grooves at _k = 6: in groups 1G ... 7G of the first grouping, groups 1G, 2G, 4G, 6G with y _n = 6 each have (1) w _k turns in the coils of the first for 1G, 6G and the third for 2G, 4G, and concentric 3G, 5G, 7G for y _pi = 7.5 - for (1 + x) w _to turns in the outer coil at w _to turns in the remaining coils of the groups, and the indicated distribution of unequal coils is repeated in each to the subsequent grouping, where x = 0.40.

Figure 1 shows a scan of the groove layers of the proposed winding at 2p = 14, z = 108 with numbers 1 ... 108 (for z '= z / 2 = 54 grooves) and numbers of coil groups from 1G to 42G (groups of the first phase are marked 1Г + 3 (с) Г = 1Г, 4Г, 7Г ...), by alternating phase zones in the sequence AZBXCY, where the blackened grooves contain (2-x) w _for turns at 2w _for turns in the remaining grooves; figure 2 shows a diagram of the shift of the axes of the odd groups of the first phase for the pole p = 7 of the main harmonic MDS ν = 1 (outer) and the pole p _ν = νp = 1 of the lower harmonic ν = 1/7 (central); figure 3 and 4 are built on a triangular grid polygons of the MDS winding of figure 1 at x = 0 (figure 3) and x = 0.5 (figure 4). m '= 6-zone winding according to Fig. 1 is connected in the usual way when they are turned on in phases of even groups of relatively odd ones with their beginnings from the beginning of groups 1G, 15G, 29G for phases I, II, III, and the phases can be conjugated by a star or a triangle.

1 for winding the winding coils ravnovitkovyh coefficient (x = 0) by shortening K coefficients _y = sin (90 ° _{to the} y / τ _n) (y _k = 6, τ _p = z / 2p = -54 / 7) and distribution K _p = 0.5 / N _sin (30 ° / N) is equal to K _about.o = K _at K _p = 0.89747. For unequal coils, a value is added to K _r.o. , depending on the non- _uniformity index x of the phase groups in Fig. 2 (external) with a symmetry axis of 19 G, a groove angle of rotation α _p = 360 ° / z = 10 ° / 3: + x0, 989442 (1 + 2cosα _p ) = + x2.964977 for 19G + 7G + 31G, -2x0.939693 [cos (1.5 + 7) α _p + cos (0.5 + 7) α _p ] = - x3, 357538 for 1Г + 37Г + 13Г + 25Г, with K _уi = sin (90 ° y _pi / τ _n ) = 0.989442 (y _pi = 7) and 0.9939693 (y _n = 6), then ∑х = - x0.39256 and at K _about.N = 16.15441

From the MDS polygons of FIGS. 3 and 4 (in the center, the unit vectors of the currents 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]:

вычисляется оптимальное x_опт=0,40 соответствующее σ_д%мин: при x_опт=0,40-z_э=3( Ν-х)=3·17,6=105,6 эквивалентное число полностью заполненных пазов, K_об=0,90894, R² _д=348,36/18, R_o=z_эK_об/рπ=105,6·0,90894/7π и σ_д%мин=1,59, а при х=0-σ_д%=2,10, т.е. σ_д% при х_опт=0,40 снижается в 2,10/2,59=1,32, что характеризует эффективность предложенной обмотки. Такое снижение σ_д% обусловлено значительным уменьшением низшей ν=1/7 (+) гармонической МДС по центральной диаграмме фиг.2 (при угле γ, равном γ=α_n/2d=5°/21), откуда для ν=1/7-K_обν=(-0,1107+x0,2325)/(18-х) и по условию K_обν=0 определяется значение х'=0,48, при котором из МДС неравновитковой обмотки фиг.1 полностью устраняется эта гармоническая.then by (1) - (3) from the condition d (σ _d ) / d (x) = 0

the optimal x _opt = 0.40 corresponding to σ _{d% min is} calculated: for x _opt = 0.40-z _e = 3 (Ν-x) = 3 · 17.6 = 105.6 the equivalent number of completely filled grooves, K _rev = 0.90894, R ² _d = 348.36 / 18, R _o = z _e K _rev / pπ = 105.6 · 0.90894 / 7π and σ _{d% min} = 1.59, and at x = 0-σ _d% = 2.10, i.e. σ _d% at x _opt = 0.40 decreases in 2.10 / 2.59 = 1.32, which characterizes the effectiveness of the proposed winding. This decrease in σ _d% is due to a significant decrease in the lowest ν = 1/7 (+) harmonic MDS according to the central diagram of Fig. 2 (at an angle γ equal to γ = α _n / 2d = 5 ° / 21), whence for ν = 1 / 7-K _obv = (- 0.1107 + x0.2325) / (18-х) and by the condition K _obν = 0, the value x '= 0.48 is determined, in which this harmonic is completely eliminated from the MDS of the unequal winding of Fig. 1 .

Thus, the proposed winding is characterized by a reduced coefficient of differential scattering σ _d% (1.32 times), an increased winding coefficient K _about and more efficient at x _opt = 0.40 in comparison with an equal-coil winding in K _eff = (0.90894 / 0 , 89747) (2.10 / 1.59) (z _e / z) = 1.305 times. Its application, for example, on the AB stator, allows to reduce additional losses in steel and asynchronous moments from harmonic MDS fields, to improve vibro-acoustic characteristics, to increase efficiency, cosφ ₁ and overload capacity of the machine.

Claims (1)

Three-phase two-layer electromachine winding at 2p = 14 poles in z = 108 grooves with q = 18/7 and with a grouping of coils in a series of 3 3 2 3 2 3 2, repeated 6 times, made of 6p = 42 1G coil groups, ... 42 a at opposite phases inclusion of even relatively coil groups of odd and secondary coils in the grooves of step at _k = 6, characterized in that the first grouping groups 1G ... 7D first coil groups 1G, 6G and third coil groups 2r, 4r groups 1G, 2G, 4G, 6G with a step in grooves at _n = 6 have (1-x) w _k turns, and the outer concentric coils of concentric groups 3G, 5G, 7G with a step x by grooves y _n = 7.5- (1 + x) w _to turns at w _to turns in the remaining coils of the groups, and the indicated distribution of unequal coils with a non-uniform coefficient of x = 0.4 is repeated in each subsequent group of coils in the indicated series.

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