三相異步電動機電磁計算

1、三相電機 額定電壓 U=380V, f=50HZ,機座號 Y132，輸出 P2=8KW, p=4 極型號：Y132M輸出功率： P =8KWN相數(shù)： m =31接法：/、相電壓： U =380Ve功電流：I =卩2燈3 = 8燈3 = 7.018Awm1U03x380極對數(shù)： p=2定子槽數(shù)： Z1=36轉(zhuǎn)子槽數(shù)： Z2=32定子每極每相槽數(shù)：Q = Zi = 36 = 3P1 2pm12x2x3定子外徑： D =21cm1定子內(nèi)徑： Di1=13.6cm氣隙長度：6 =04mm轉(zhuǎn)子外徑： D2=13.52cm13.6-0.04*2=13.52cm轉(zhuǎn)子內(nèi)徑： Di2=4.8cm定子槽型：半閉口

2、圓底槽定 子 槽 尺 寸： b =0.35cm b =0.67cm h =0.08cmo1 1 o1R =0.44cm h =1.45cm1 12轉(zhuǎn)子槽形：梯形槽轉(zhuǎn) 子 槽 尺 寸 ： b =0.1cm b =0.55cm b =0.3cmo2 r1 r2h =0.05cm h =2.3cmo2 r1212. 極距：t =叫i = 3.1415燈3.6 = 10.681cm2p413.定子齒距：t=nDi1 = 3.1415x13.6 =1 .187cm1Z13614.轉(zhuǎn)子齒距：t=nD2 = 3.1415x13.52 =1 .327cm2Z23215.氣隙長度：6 := 0.04cm轉(zhuǎn)子斜槽

3、距： b =t =1.187cmsk 1鐵芯長度： l=16cm鐵芯有效長度：無徑向通風(fēng)道：l產(chǎn)1+2 6=16.08cmef凈鐵芯長：無徑向通風(fēng)道： l =K l=0.95*16=15.2cmFe FeK =0.95（不涂漆）Fe20. 繞組型式：單層交叉式并聯(lián)支路數(shù)：ai=1節(jié)距： 1-9,2-10,11-18每槽導(dǎo)線數(shù)：由后面計算的數(shù)據(jù)根據(jù)公式計算為：每極磁通0 1=000784wb波幅系數(shù)： K =1.46A繞組系數(shù)： K =0.96dp1 TOC o 1-5 h z 每相串聯(lián)有效導(dǎo)線數(shù)：N K . = KzUi燈0_2 x 50 = 0 dp1Ka知fl1.21X38X1_2 x 5

4、0 = 401.70 K取 1.211.46x0.0078450z每相串聯(lián)導(dǎo)線數(shù)：N = 40170 = 4180 Kdp10.96每槽導(dǎo)線數(shù)：N =豐=34.83取整數(shù)：N =351 12 1線規(guī)：導(dǎo)線并饒根數(shù)與截面積之積（式中的值由其后的公 式算得）：N；A；=上=97 = 1.7655mm21 1 a1J11x5.19由此可通過查表知線規(guī)為： 2-1.06（N-0）每根導(dǎo)線截面積： A =0.00882cm2cl槽有效面積： A =A-A=1.1444cm2e s iA = 2R+bs1 x （h 一 h） + nLA = Ci（2hs12 + nR）C.-絕緣厚度h-槽楔厚度C =00

5、8mm ii槽滿率：k =叫小討 x 100% = 2x35x0.013 = 79.5%sAe1.1444d-絕緣導(dǎo)線外徑d=114mm每相串聯(lián)導(dǎo)線數(shù)：N = ZiNsi = 35曲6 = 4200 ma13繞組分布系數(shù)：K = sin(2qi)= 0.96d1qi sin(a)q =互=2L = 31 2pm 4x3a = 2pn = 2x2x180 = 20 17 36繞組短距系數(shù)：Kpl = sin(B x 90)= 1B =丄mq1繞組系數(shù)： K = K K = 0.96dp1 d1 p1二磁路計算每極磁通：口 =keU口= 0.00784Wb =380 x0-92312.22fN2.

6、22x50 x420 x0.96KE=0.923Ke范圍 085-0.95定子齒截面積:A = bt1 *eZ1 = 76.05cm2t12p轉(zhuǎn)子齒截面積：A = *2站2 = 75.95cm2t22pbt1,bt2-定，轉(zhuǎn)子齒寬t1 t235.定子軛部截面積：Aj1 = hjlFe = 1.877 x 15.2 = 28-53cm2hj =警-hs + 1R = 37 -(0-08 + 1-45 + 0-44)+ 罟=1 . 877 2 3 336.轉(zhuǎn)子軛部截面積：A = h l = 30.65cm2j2 j2 Feh= D廠d 一 h 一 2d = 2.016j2 2R 3 k因無通風(fēng)孔

7、d =0k空氣隙面積：A = tL = 10.681 x 16.08 = 171.8cm26 ef波幅系數(shù)： KA=1.46 KS=1.276ASKa由飽和系數(shù)KS查得，開始計算時先假定KS定子齒磁密：B = K 21 x 104 = 1.46 x 加0784 x 104 =t1 A 人76.051 .505Tt140. 轉(zhuǎn)子齒磁密：1 .507T40. 轉(zhuǎn)子齒磁密：1 .507TBt2=& 邑 x 104 = 1.46 xA A0.0078475.95x 104 =定子軛磁密：B = 1 x 旦 x 104 = 1 x 0.00784 x 104 = 1.37T TOC o 1-5 h z

8、j12 Aj1228.53轉(zhuǎn)子軛磁密：B = 1 x 旦 x 104 = 1 x 0.00784 x 104 = 1.28Tj2 2 Aj2230.65氣隙磁密：B = Kx 104 = 1.46 x 0.00784 x 104 = 0.666T6AA6171.8定子齒磁場強度： H =2 0 . 58 A/c m （查表硅鋼片磁化曲線）T1轉(zhuǎn)子齒磁場強度：Ht2=20.79A/cm （查表硅鋼片磁化曲線）定子軛磁場強度：H =1144A/cm （查表硅鋼片磁化曲線）j1轉(zhuǎn)子軛磁場強度：H=843A/cm （查表硅鋼片磁化曲線）j2定子齒磁路計算長度：= h + h + R = 1.597cm

9、 TOC o 1-5 h z T1s1s2 3轉(zhuǎn)子齒磁路計算長度：= h, + h = 2.3cmT2R1R2定子軛磁路計算長度：匚=n（Di1-hj1）= 7.51cmj14p轉(zhuǎn)子軛部磁路計算長度：鳥=n（Di2+hj2）= 2.67cmj24p氣隙磁路計算長度：6 = 6K Kn = 0.4 x 1.308 x 1.031 一e c1 c210 = 0.05393cmK = _ti_ K _ = _t2_ c1 t1 -r16 c2 t2-吵t-齒距b0-槽口寬定子齒磁位降：F- = H x= 32.86At1 t1 t1轉(zhuǎn)子齒磁位降：Ft2 = Ht2 x ht2 = 47.81A定子軛

10、部磁位降:F, = CH,l, = 43.31Aj1 1 j1 j1C=0.504 定子軛部磁路校正系數(shù)1轉(zhuǎn)子軛部磁位降：F. = C H l = 9.23Aj2 2 j2 j2C2=0.41 轉(zhuǎn)子軛部磁路校正系數(shù)氣隙磁位降：F = 0.8B 6 x 104 = 0.8 x 0.666 xoo e0.05393 x 104 = 287.34A飽和系數(shù)：K = Fti +Ft2+Fo = 3286+47.81 +28734 = 1.28sF6287.34與38項比對總磁位降： F= F +F +F +F +F = 32.86+t1 t2 j1 j2 o47.81 +43.31 +9.23+287

11、.34 = 420.55A勵磁電流：I = 4.44pF = 444x2x42.55 = 3.087Am mN口 1Kdp13x420 x0.96勵磁電流標(biāo)幺值：I* = !m = 3.087 = 0.4399mIw 7.018勵磁電抗標(biāo)幺值：X* =丄二1= 2.2732m im 0.4399三參數(shù)計算線圈平均半匝長度：l “ = l + 2（d + l；） = 31.22cmc1 eEd=15cm（直線部分伸出長）lE = kTck對2,4極取0.58 Tc-平均節(jié)距 Tc = 10.54cm圖2-3線圈尺寸示意圖線圈端部平均長度：lE = 2（lE + d） = 15.22cm線圈端部軸

12、向投影長度：f = l；sina = 3.77cmdE2阻抗折算系數(shù)：K = mi（N口iKdpi）= 15241 TOC o 1-5 h z Z9m2（N口 2Kdp2）式中：對籠型轉(zhuǎn)子m2=Z2, Nn2 = 1, Kdp2=1定子相電阻：R = p1N口*c1 = 1.61Q p -導(dǎo)線電阻率1a1NdAd1標(biāo)幺值：R：= 曲 =0.029714轉(zhuǎn)子導(dǎo)條電阻：R = K KbPbIb = 1.1407QB z Ab式中：KB=1.04（對鑄鋁轉(zhuǎn)子）Pp-導(dǎo)條電阻率l=16cm （轉(zhuǎn)子導(dǎo)條長度）BAB=0 965cm2（每根導(dǎo)條截面積）標(biāo)幺值：R* = R x S = 1.1407 x 竺

13、=0.0211B B U口380轉(zhuǎn)子端環(huán)電阻：R = K Przzdr = 0.3467QRz 2np2ARp -端環(huán)電阻系數(shù) D -端環(huán)平均直徑（107cm）RRA -端環(huán)截面積（2.6cm2）R標(biāo)幺值：R* = R !w = 0.3467 x 7018 = 0.006R R U口38070.轉(zhuǎn)子電阻標(biāo)幺值：R; = Rb + Rr = 0.0211 + 0.006 = 0.02712 B R71.漏抗系數(shù)：C = 0.4n；fl （NL）（ Lw）x 10-5 = 0.4 x Xefpq“U 丿3.14152 x 50 x 16.08 x （型）（竺）x 10-8 = 0.017232xV

14、 380 /72定子槽漏磁導(dǎo)：As1 = KU1入U1 + K/c1 = 1-2431K =1 K =1入心=0.4097 入廣0.8334=（芒）入=（芒）入C1CXx 0.8334 x73.定子槽漏抗：X*s10.01723 = 0.01429lo1 = l1（對無徑向通風(fēng)道）74.定子諧波漏磁導(dǎo)：入十=0.0129 d1對60相帶整數(shù)槽繞組，且2 B 0.005n0.878與 88 項假定值比對116.功率因數(shù)：cos =丄二 1= 0.872I； n1.3056x0.878117滿載轉(zhuǎn)差率：S = PCu2 = .361 = 0.0335NP；m1.07797P *-氣隙電磁功率emP

15、*= P* P* P*= 1 .07797em 1 cu1 Fe1118. 額定轉(zhuǎn)速：nN118. 額定轉(zhuǎn)速：nN=60f(1SN) = 60 x50 x(10.0335)= p21449.75r/min119. 最大轉(zhuǎn)矩倍數(shù)：T*=1 T*=1 SnmaxI2x( R*+Jr*2+X*2)1 0.0335= 2.662x( 0.0297+0.02972 +0.1492)五起動性能計算I = （2.53.5）T* x I = 61.8A st max w120. 起動時槽磁動勢：Fst=Fst=。加71葺 x（ Kvi a1+ KdpiKdiZi）應(yīng)=3071 9A Z2121.虛擬磁密：B

16、= Fstx1 4 = 5.0241TL1.66BcB = 0.64 + 2.5 丿丄=0.955Lt1+t2起動漏磁飽和系數(shù)： K =0.418as定子槽口寬增大：Ab = （t 一 b ）（1 一 k ） = 0.487401101as轉(zhuǎn)子槽口寬增大： Ab = （t 一 b ）（1 一 k ） = 0.714102202as定子槽上部漏磁導(dǎo)減少：0.定子槽上部漏磁導(dǎo)減少：0.1836入=九0-.581 （Ab01）=U1 b01Ab01+1-5b01126.轉(zhuǎn)子槽上部漏磁導(dǎo)減少：入U2 =血（Ab02 ） = 0.4397b02 Ab02+b02U1 （入U1 一 入U1）+ U1 （入

17、U1 一 入U1）+ Kc1Ac11.0596s1st起動定子槽漏抗標(biāo)幺值：X*_=入s1tX* =迪xs1stAs1 s11.24310.01429 = 0.01218s1起動定子諧波漏抗標(biāo)幺值： X*= k X* = 0.01218d1st as d1定子起動漏抗標(biāo)幺值： X* = X* + X*+ X* =1st s1st d1st E10.01218+ 0.01313 + 0.01825 = 0.04356 131.擠流轉(zhuǎn)子導(dǎo)條相對高度：8 = 2nh、他 f = 1.551BA/ bs pBx109h -轉(zhuǎn)子導(dǎo)條高度（cm）%-轉(zhuǎn)子導(dǎo)條寬與槽寬之比，對鑄Bbs鋁轉(zhuǎn)子為1p -轉(zhuǎn)子導(dǎo)條

18、電阻率h =235cmBB導(dǎo)條電阻等效高度：h = hB k = 235 x 1 = 1.621pR g） a1.45槽漏抗等效高度：h =匚屮（s）k = 2.35 x 0.78 x 1 =px Ba1 .833擠流電阻增大系數(shù)：K = (1+a)爐()= 1.308R 1+a2()-1a = b1b2擠流漏抗減少系數(shù)：Kx = b2(1+a)2屮()(Kn) = 0.888Xbpx (1+a)2 Kr1a = bbpxa = bbpxb = bpx 1+ (b2b1）屮（）Kx入L2 = KKx入L2 = KX X b + 入L =L2st1 .4875入二4B心L(1+a)2 t1137.起動轉(zhuǎn)子槽漏磁導(dǎo)：入2( t)=(入U2 入U2) + A|2t = 1.5478 s2(st)U2 U2 L2st起動轉(zhuǎn)子槽漏抗標(biāo)幺值：X篤=3 x X* = 0.0275s2st入s2s2起動轉(zhuǎn)子諧波漏抗標(biāo)幺值： X*d2st = kasX*d2 = 0.01207起動轉(zhuǎn)子斜槽漏抗標(biāo)幺值： X* = k X* = 0.0048skst as sk141. 轉(zhuǎn)子起動漏抗標(biāo)幺值：0.05036X*2st =