中小型三相感应电动机(单笼转子)电磁计算程序.docx

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1、中小型三相感应电动机（单笼转子）电磁计算程序1.额定数据及主要尺寸输出功率PN2.UY接法，接法匕广UN3.功电流IKWPNm U1冲4. 效率n按照设计任务书的规定5. 功率因数cos（p按照设计任务书的规定6. 极对数p7. 定转子槽数Z1、Z2Z8. 定转子每极槽数 Zpi=芍Z9. Z =p22 p10. 定转子冲片尺寸（见图1）兀D11. 极距 匚=浴2p兀D兀D12. 定转子齿距=*2 = 1213. 节距 y以槽数计14. 转子斜槽宽 bsk （一般取一个定子齿距t1,也可按需要设计）15. 每槽导体数 双层线圈 N1 =2X每线圈匝数单层线圈 Ns1=每线圈匝数16.每相串联导

2、体数N =史91m a17.绕组线规（估算）N A,=。 t1 c1 a1 J 1I匕（定子电流初步值）=商18.槽满率槽面积A =也+知(hh) +纺s 2 s2槽绝缘占面积双层绕组A = (2h +兀r + 2r + b )t t s 212111单层绕组 A = (2h +兀r ) t t s 21槽有效面积AfA - A槽满率 S = ti_si x 100% f Aef19.铁心长lt铁心有效长 无径向通风道lf = lt + 25定转子径向通风道不交错lf = I- nb定转子径向通风道交错lf =（np + n2 2 bQb由图9查出v净铁长 无径向通风道 、=kpl有径向通风道

3、 l = k(l - n b )Fe Fe t v v20.绕组系数Kd 1 = Kd 1K 1sin空分布系数K d 1 =&q sin 兀c短距系数Kp1 = sin- P21.每相有效串联导体数揣%磁路计算22. 每极磁通 4 =二E4Kn Kp 1 fN 12.22 fN侦 Kp其中 E = (1 -e ) 入(假设K =1 -e )1L N9EL23.每极齿部截面积定子 A = K lb Zt1Fe t t1 p1转子 A = K lb Zt2Fe t t2 p 2对于非平行齿，则bt取离最窄齿三分之一齿高处的齿定子轭部计算高度圆底槽hj1D =1-D - h 4r -132s1平底

4、槽hj1D=1-Di12-hs1转子 Aj1=5 j 2转子轭部计算高度圆底槽hj 2D=-Di2-hs 2r+ 2 -32 d23v2平底槽hj 2D=2-Di22-hs2-2 d3 v 241 = KFlhj24.轭部截面积对于2极电机，D2以三分之一 D2代入25. 空气隙面积A&=t七一B26. 波幅系数F = 广（可先假定饱合系数K、再从图2中查出F）8av八 Fs27. 定子齿磁密B =-t1Ati.Fs28. 转子齿磁密B =t2A121 $29. 定子轭磁密8八=-ji1 430. 转子轭磁密Bj2 =-j2F 431. 空气隙磁密 B =十 A 832. 根据B打、B。、B1

5、、B2、B $从磁化曲线（表2或表3）中查出H” H2. H1、H2tt匕jj匕tt匕jj匕33. 齿部磁路计算长度定子圆底槽L = h + h +1 rti11213 21半开口平底槽L1 = h11 + h21开口平底槽L广h1转子圆底槽L 2 =h12+h22+ 3效平底槽L 2 =h12+h22兀(D - h ) 134轭部磁路计算长度定子 。=一 x 转子35 有效气隙长度5广K81K8 25半闭口槽和半开口槽开口槽36. 齿部磁压降定子转子37. 轭部磁压降定子转子K =t (4.45 + 0.75与)5 = t(4.45 + 0.75b ) - b2 00K =t(55+ )5t

6、(55 + b ) - b 200Ft1=Ht1 Lt1Ft 2 = Ht 2 Lt 2 = C.H 注LF 2 = C 2 H 2 L. 2j Cj2从图3查出38.空气隙磁压降F5 = K655P039.饱合系数K = F5+F1 +F 2 s F 5量,(K,值与26项中假定的K 应相符，否则重新假定K ,并重新计算2639项中各有关 直至相符。要求精度W1%)40.总磁压降F0=F5+ F 1+F 2 + F + F 241.满载磁化电流2 pF00.9气 Kp 142.满载磁化电流标么值1 * = -m IKW43.励磁电抗标么值X *ms J *m三. 参数计算44.线圈平均半匝长

7、（见图4）单层线圈lc = IB + Kt y双层线圈 七=IB + 2C，式中l = l + 2d为直线部分长（d = 0.010.03m，为线圈直线部分伸出铁心的长度， B t 11机座大、极数少者取较大值）C = T ys 2cos 以Kc为经验值，2极取胜1.16； 4、6极取1.2； 8极取1.25。或按经验取cosa = 1 sin2 a，sin a =11 +2 J1b + 2r + 2b双气+ 2(h参P （单层同心式或交叉式线圈B取平均值）45. 双层线圈端部轴向投影长fd = C sin a46. 单层线圈端部平均长lE = 2d 1+Kt y4咖(N K )21 P0.2

8、63(N K )21 P47. 漏抗系数Cx =01_血1_ =1如x 10-3m pU2pU248. 定子槽比漏磁导X = K人+ K人s1U1 U1L1 L1Ku查图5，1、入乙1从附录一中查出49.定子槽漏抗X *s1无径向通风道时lt1 = lt1有径向通风道时l = l - n bt1t1v1 bv1（b：是通风道损失宽度，从图10查出）50.定子谐波漏抗X *51m ts1兀 2 K2 KCx （ &从图13或表5中查出）51.定子端部漏抗双层叠绕组X、顷1 :。5匕）CxE1lef单层同心式X * = 0.67 .2- Cxeil K 2ef dpi单层同心式（分组的）、交叉式

9、X* = 0.47（E 0，64Cx eil K 2ef dpi单层链式x= 0.21 K2 Cxef dpi52.定子漏抗X * = X * + X * + X * o 1 si S1 E153.转子槽比漏磁导气2=*U 2+*L2（，U 2、人L2从附录一查出）54.转子槽漏抗X* = 2m已2人s2 Cxs 2Z 21f无径向通风道时1；2 = 12 2有径向通风道时1 = 1 - n b” （ b” 从图 10 查出）1212 v 2 v 2v 255.转子谐波漏抗 X* = m?R Cx （ R从图14或表6查出） s2 兀 2S K56.转子端部漏抗X*E 2心二 + Dr ）Cx

10、1 寸 1.132 p八-,b 、57. 转子斜槽漏抗X*k= 0.5（/）2XS2258. 转子漏抗X* = X* + X* + X* + X*o 2s 2S 2E 2sk59 .总漏抗X * = X * + X *o o 1 o 260.定子直流相电阻R =P :1N A 1对A、E、B级绝缘对F、H级绝缘铝 p = 0.0346x 10-6Qm，铜 p = 0.0217 x 10-6Qm铝 p = 0.0392 x 10-6 Q m，铜 p = 0.0245 x 10-6 Q m61. 定子相电阻标么值R* = R1 U62. 有效材料定子导线重量 G = Cl N Z A N p w

11、c si 1 cl t1式中C为考虑导线绝缘和引线重量的系数，漆包圆铝线取1.1,漆包圆铜线取1.05；p 为导线密度，铝为 2.7X103kg/m3，铜为 8.9X103kg/m3硅钢片重量 G = K f (? +S )2 p (6为冲剪余量，取5 mm)63. 转子电阻K l4m (NK )2导条电阻折算值rb = p AtB * =-I * I 2 +1 * 2 Z曲1一B2端环电阻折算值R = pRZj 4m(NB2冗p 2 ArZ 2因叠片不整齐造成导条电阻增加而引入系数KB，铸铝转子为1.04，铜条转子为1.0对于 A、E、B 级绝缘：紫铜 p= 0.0217 x 10 -6。

12、m，黄铜 p= 0.0804 x 10-6。 m,硬紫铜杆 p = 0.0278 x 10-6 Q m，铸铝 p = 0.0434 x 10-6 Q m，硅铝 p = (0.062 0.0723) x 10-6 Q m对于 A、E、B 级绝缘：紫铜 p= 0.0245 x 10-6 Q m，黄铜 p= 0.0908 x 10-6 Q m,硬紫铜杆 p = 0.0314x 10-6Qm，铸铝 p = 0.0491 x 10-6Qm ， 硅铝 p = (0.07 - 0.0816) x 10-6 Q- m导条电阻标么值 R; = RB 当洒端环电阻标么值 Rr = Rr U洒转子电阻标么值 R;

13、= R; + Rr四. 工作性能计算64. 满载时定子电流有功分量标么值 1 * = (假定效率门)1P门65. 满载时转子电流无功分量标么值I* =b X*I* 21 + (b X*I* )2X 1 b 1P1 b 1Pms66.满载时定子电流无功分量标么值I *1Q67.满载电势标么值K = 1 - = 1 - (I * R * +1 * X * )EL1P 11Q b1此值应与22项假定相符，否则重新假定Ke并计算2267项，直至误差小于土0.5%68.空载电势标么值1 - 0 = 1 -1* x 天69. 空载时定子齿磁密 B = ： 0 Bt101 -8 tlL1 -870. 空载时

14、转子齿磁密 B = 一B1201 - 812L1 -871. 空载时定子轭磁密 B = Bj101 -8 j1L1 -872. 空载时转子轭磁密 B =Bj 201 -8j 2L73. 空载时气隙磁密B =二8B801 -8L74空载定子齿磁压降F10=Ht10 L75 空载转子齿磁压降F 20 = Ht20 Lt2Fj10 =F 20 = H 20 Lj 2F = 48 0 日076. 空载定子轭磁压降77. 空载转子轭磁压降78. 空载空气隙磁压降79.空载总磁压降F00=F0+Ft10+ F20 +Fj10+F22080. 空载磁化电流81. 定子电流标么值Im02 pF000.9m1

15、% Kp 1定子电流实际值82. 定子电流密度 J 1 = 口 N.1 t1 cl83. 线负荷 A =气、”i兀Dil84.转子电流标么值* 1 = 12,I*2 +1*2, 1P，X转子电流实际值I =2I * I2mN K1 枷 dp1KWZ2端环电流实际值I =RI -2 :Z 2- 2兀p85.转子电流密度导条电密J = 土B AB端环电密IJ = RR AR86.定子电气损耗p*= I*2 R *1p = p * Pcu1cu1 N87.转于电气损耗P * = I *2 R *2Pa/2 = pA/2 PN88.杂散损耗铸铝转子：P* = 0.025 (2 极)，0.02 (4 极

16、)，0.015 (6 极)，0.01 (8 极和 10 极)铜条转于：P* =0.005或参考相近规格的实测值p = p* P89.机械损耗参考实际试验值或按下列公式计算二极防护式：p = 5.5(-)2(D )3 X103fwp2四极及以上防护式：3pw = 6.5()2(D)3 X103二极封闭型自扇冷式：p = 13(1 - D )(-)2(D )4 X103fw1 p1，3、一四极及以上封闭型自扇冷式：尸疽(p)2(D1)4 X 103p机械损耗标么值p* =钮fw PN90.定子铁损耗定子齿重量G = 2pA L ptt1 t1 Fe定子轭重量G = 4 pA L pjj1j1Fe定

17、子齿损耗p = p G损耗系数p根据B查表4得到Fethet thett10定子齿损耗p = p G损耗系数p根据B查表4得到Fejhej jhejj10定子铁损耗p = k p + kpFe 1 Fet 2 Fej铁耗校正系数 十2.5 （半闭口槽），3.0 （开口槽） k2 = 2.0 （半闭口槽）2.5 （开口槽） 定子铁损耗标么值 pf * = * N91.总损耗标么值Zp *= p *+ p *+ p *+ p *+ p *cu1 Al 2 s fw Fe92.输入功率门=1 +毒*93.效率1门=P *N1此值应与64项假定值相符，否则重新假定门并计算6493项，直至误差小于土0.

18、5%I *94.功率因数cos中=tpI*195.转差率p *Al21 + p * + p * + p * + p *Al 2s fw Ferp * =FerPFetr + P FejrPN96.转速 n = 60f (1 - s )N pN97. 最大转矩T * =1 snm -I -一2( R* + % R： + X 了)98.五. 起动性能计算起动电流假定值 I = (2.5 - 3.5)T*I stm KW99.起动时定转子槽磁势平均值st stF = I 土0.707(K + K2 K 土)J1f auidi pi Z0100.空气隙中漏磁场的虚拟磁密B =农L 28。C八8P =

19、0.64 + 2.5 |”1 + 2由Bl查图18可得漏抗饱合系数K101. 齿顶漏磁饱合引起的定子齿顶宽度的的减少U = (t1 -、)(1-K )102. 齿顶漏磁饱合引起的转子齿顶宽度的的减少C2 = (t2 -b02)(1 -K )Z,103.起动时定子槽比漏磁导、st广 K1 气 1-% 1) + 1入X *= s1( st) X *s1( st)X s1s1X ；1( st )=KX 81X *= X *+ X *+ X * 1( st)s1( st)81( st)E1位U1的计算见附录104. 起动时定子槽漏抗105. 起动时定子谐波漏抗106. 起动时定子漏抗107. 考虑集肤

20、效应，转子导条相对高度&= 0.987 x 10-3 h bB fMb p、s 2B式中：hB 转子导条的高度，对铸铝转子不包括槽口高度h2b产一一转子导条与转子槽的宽度之比，对铸铝转子其值为1,窄长的铜条其值为0.9bs 2p B 导条的电阻率。对 A、E、B 级绝缘，铝为0.0434x 10-6Qm，铜为0.0217 x 10-6Qm ；对 F、H 级绝缘，铝为 0.0491 x 10-6。 m，铜为 0.0245 x 10-6。 mf转子电流频率，起动时其等于定子电流的频率108.转子电阻增加系数和电抗减少系数Kf、Kx查图15及图16109. 起动时转子槽比漏磁导气2(st广气2 腴U

21、2) + KxL2入X *s2(st) X *s 2( st) 入 s 2 s2X 物 st I ；2X】(st)KX*k（如2时算见附录一）110. 起动时转子槽漏抗111. 起动时转子谐波漏抗112. 起动时转子斜槽漏抗113.起动时转子漏抗X *X *+ X *+ X * + X * 2( st)s 2( st)5 2( st)E 2sk (st)114. 起动时总漏抗X*X*+ X* (st) 1( st) 2( st)115. 起动时转子总电阻R*K () + (lB 1 lt2 )R* + R*2( st)F llB R116. 起动时总电阻R*R* + R*st 12(st)11

22、7. 起动时总阻抗Z：=jR：t2+ X疾2I118. 起动电流I,stZ *st此值应与98项假定值相符，否则重新假设并计算98118项，直至误差小于3%119. 起动电流的倍数120. 起动转矩的倍数Ii = st I1R *T* =-ux(1 -s )st Z * 2Nst六. 计算用图13141516171819202122七.计算用表QZ-2、QZL-2厚绝缘聚酯漆包圆线表1铜铝 导体标称径mm标称截面积mm2铜铝漆膜厚度mm参考重量kg/km20C时电阻Qm参考重量kg/km20C时电阻Qm0.500.19641.8650.09270.5980.15010.03 0.060.530

23、.22062.0400.08230.6520.13330.04 0.070.560.24632.2750.07360.7040.11910.04 0.070.600.28272.5890.06390.8100.10350.04 0.070.630.31172.8220.05790.8950.09370.04 0.070.670.35263.2190.05111.0240.08270.04 0.08(0.69)0.37393.4100.04811.1020.07790.04 0.080.710.39593.6160.04611.2100.07460.04 0.080.750.44184.1140

24、.04121.2840.06670.05 0.09(0.69)0.37393.4100.04811.1020.07790.04 0.080.710.39593.6160.04611.2100.07460.04 0.080.750.44184.1140.04121.2840.06670.05 0.09(0.77)0.46574.2500.03901.3700.06320.05 0.090.800.52274.6100.03611.4830.05850.05 0.09(0.83)0.54104.9200.03351.5910.05430.05 0.090.850.56755.2350.03191.

25、6900.05170.05 0.090.900.63625.9360.02841.8590.04600.05 0.09(0.93)0.67936.1600.02661.9800.04300.05 0.090.950.70886.7640.02552.1000.04120.05 0.091.000.78547.2400.02292.3140.03710.06 0.111.060.88258.5050.02062.6160.03330.06 0.111.120.98528.9400.01842.8770.02980.06 0.111.181.09369.8900.01653.1420.02680.

26、06 0.111.251.227211.200.01473.5530.02380.06 0.111.301.327312.100.01363.8330.02200.06 0.11(1.35)1.431413.000.01284.1230.02040.06 0.111.401.539414.000.01174.4240.01890.06 0.11(1.45)1.651315.000.01094.7420.01760.06 0.111.501.767216.100.01025.0640.01650.06 0.11(1.56)1.911417.350.00945.4650.01520.06 0.11

27、1.602.010618.120.00895.7140.01440.07 0.121.702.269820.460.00796.5350.01280.07 0.121.802.544722.910.00707.3100.01140.07 0.121.902.835325.500.00638.0060.01020.07 0.122.003.141628.210.00579.1400.00920.07 0.122.123.529931.520.00509.8510.00820.07 0.122.243.940836.130.004511.270.00730.07 0.122.364.374441.

28、350.004112.390.00660.07 0.122.54.908744.630.003613.680.00590.07 0.12B25=1.54T(D23)电工硅钢薄板(0.5mm)的磁化曲线表2BT0.000.010.020.030.040.050.060.070.080.09BT0.401.381.401.421.441.461.481.501.521.541.560.400.501.581.601.621.641.661.691.711.741.761.780.500.601.811.841.861.891.911.941.972.002.032.060.600.702.102.

29、132.162.202.242.282.322.362.402.450.700.802.502.552.602.652.702.762.812.872.932.990.800.903.063.133.193.263.333.413.493.573.653.740.901.003.833.924.014.114.224.334.444.564.674.801.001.104.935.075.215.365.525.685.846.006.166.331.101.206.526.726.947.167.387.627.868.108.368.621.201.308.909.209.509.8010

30、.110.510.911.311.712.11.301.4012.513.113.614.214.815.516.317.118.119.11.401.5020.121.222.423.725.026.728.530.432.635.11.501.6037.840.743.746.850.053.456.860.464.067.81.601.7072.076.480.885.490.295.01001051101161.701.801221281341401461521581651721801.80B25=1.57T(D24)电工硅钢薄板(0.5mm)的磁化曲线表3251BT0.000.010

31、.020.030.040.050.060.070.080.09BT0.401.371.381.401.421.441.461.481.501.521.540.400.501.561.581.601.621.641.661.681.701.721.750.500.601.771.791.811.841.871.891.921.941.972.000.600.702.032.062.092.122.162.202.232.272.312.350.700.802.392.432.482.522.572.622.672.732.792.850.800.902.912.973.033.103.173.2

32、43.313.393.473.550.901.003.633.713.793.883.974.064.164.264.374.481.001.104.604.724.865.005.145.295.445.605.765.921.101.206.106.286.466.656.857.057.257.467.687.901.201.308.148.408.688.969.269.589.8610.210.611.01.301.4011.411.812.312.813.313.814.415.015.716.41.401.5017.218.018.919.920.922.123.525.026.

33、828.61.501.6030.733.035.638.241.144.04750.053.557.51.601.7061.566.070.575.079.784.589.594.71001051.701.801101161221281341411481551621701.80P10/502.lW/kg(D23、D24)电工硅钢薄板(0.5mm)的损耗曲线表4B T0.000.010.020.030.040.050.060.070.080.09B T0.500.700.720.740.760.780.800.820.840.870.890.500.600.910.930.960.981.011

34、.031.061.081.111.130.600.701.161.191.221.251.281.311.341.371.401.430.700.801.461.491.521.561.591.621.651.681.721.750.800.901.781.811.841.881.911.941.972.002.042.070.901.002.102.142.192.232.282.322.362.402.452.491.001.102.532.572.622.662.712.752.802.852.902.951.101.203.003.053.103.163.213.263.323.383

35、.443.501.201.303.563.623.673.733.783.843.913.984.064.131.301.404.204.284.364.444.524.604.704.804.905.001.401.505.105.225.345.465.585.705.845.986.126.261.501.606.406.536.666.806.937.067.187.287.417.521.601.707.647.707.777.837.907.968.008.048.078.111.701.808.158.248.338.428.518.608.708.808.909.001.801

36、.909.109.209.309.409.509.609.749.8810.0010.201.90三相60相带谐波比漏磁导系数】S表5q2B15/64/6ss0.02650.02050.0199q=3B18/97/96/9ss0.01290.01030.00900.0097q4B111/1210/129/128/12ss0.00820.00660.00550.00540.0061q5B114/1513/1512/1511/1510/15ss0.00590.00500.00380.00340.00380.0044q6B117/1815/1813/1812/1811/18ss0.00470.00380.00250.00290.00350.0035q8B122/2420/2418/2416/2415/24ss0.00350.00230.00160.00180.00270.00265笼形转子谐波比漏磁导系数】R表6Z,/2p345678910sr0.0970.0530.0340.0230.0170.0130.0100.0083Z,/2p121520253040508sr0.00570.00360.00210.00130.00090.00050.00030附录常用槽形比漏磁导计