永磁电动机计算公式大全(电磁计算程序)精讲

永磁同步电动机电磁计算程序,,,,

以下公式中π取值为3.14,,,,

序号,名称,公式,单位,算例

一,额定数据,,,

1,额定功率,PN,kw,4.0000

2,相数,m1,,3.0000

3,额定线电压,UN1,V,360.0000

,额定相电压,UN,V,207.8460969

4,额定频率,ƒ,Hz,26.5000

5,极对数,p,,3.0000

6,额定效率,η1N,%,0.8960

7,额定功率因数,cosφ1N,,1.0000

8,额定相电流,IN,A,7.159601552

9,额定转速,nN,r/min,530

10,额定转矩,TN,N.m,72.0754717

11,绝缘等级,B级,,

12,绕组形式,双层,,

二,主要尺寸,,,

13,铁芯材料,50W470硅钢片,,

14,转子磁路结构形式,,,

15,气隙长度,δ,cm,0.05

16,定子外径,D1,cm,23

17,定子内径,Di1,cm,14.8

18,转子外径,D2,cm,14.7

19,转子内径,Di2,cm,4.8

20,定、转子铁心长度,l1=l2,cm,19

21,铁心计算长度,la=l1,cm,19

,铁心有效长度,leff,cm,19.1

,铁心叠压系数,Kfe,,0.95

,净铁心长,lFe,cm,18.05

22,定子槽数,Q1,,36

23,定子每级槽数,Qp1,,6

24,极距,τp,,7.745333333

25,定子槽形,,,

,梨形槽,bs0,cm,0.35

,,hs0,cm,0.08

,,bs1,cm,0.68

,,hs1,cm,0.09

,,hs2,cm,1.06

,,r,cm,0.44

26,每槽导体数,Ns1,,32

27,并联支路数,a1,,1

28,每相绕组串联导体数,NΦ1,,384

29,绕组线规,N11S11,mm2,1.539699259

,"根据N11S11=1.54mm2,线径取d1/d1i=1.4mm/1.46mm,并绕根数N1=1",,,

30,槽满率,,,

,（1）槽面积,ss,cm2,1.044952

,槽楔厚度,h,cm,0.2

,(2)槽绝缘占面积,si,cm2,0.157248

,,h1s,cm,1.15

,绝缘厚度,Ci,cm,0.03

,（3）槽有效面积,se,cm2,0.887704

,(4)槽满率,sf,%,76.84002776

,,N1,,1

三,永磁体计算,,,

31,永磁材料类型,铷铁棚,,

32,永磁体结构,矩形,,

33,极弧系数,ap,,0.82

34,主要计算弧长,b1p,cm,6.451173333

35,主要极弧系数,a1p,,0.832911

36,永磁体Br温度系数,aBr,,-0.12

,永磁体剩余磁通密度,Br20,T,1.22

,温度,t,℃,80

,t=80℃时剩余磁通密度,Br,T,1.13216

37,永磁体矫顽力,Hc20,KA/m,923

,永磁体Hc温度系数,aHc,,-0.12

,t=80℃时矫顽力,Hc,KA/m,856.544

38,永磁体相对回复磁导率,ur,,1.052370075

,,u0,H/m,1.26E-06

39,最高工作温度下退磁曲线的拐点,bk,,0

40,永磁体宽度,bm,cm,3.6

41,永磁体磁化方向厚度,hM,cm,1.2

42,永磁体轴向长度,lM,cm,19

43,提供每级磁通的截面积,SM,cm2,136.8

四,磁路计算,,,

44,定子齿距,t1,cm,1.290888889

45,定子斜槽宽,bsk,cm,1.678155556

46,斜槽系数,Ksk1,,0.980825713

47,节距,y,,5

48,绕组系数,Kdp1,,0.932879761

,(1)分布系数,Kd1,,0.965960169

,,α,°,30

,,q1,,2

,(2)短距系数,Kp1,,0.96575386

,,β,,0.833333333

49,气隙磁密波形系数,Kf,,1.230040267

50,气隙磁通波形系数,KΦ,,0.940634879

51,气隙系数,Kδ,,1.244826717

52,空载漏磁系数,σ0,,1.3

53,永磁体空载工作点假设值,b1m0,,0.87

54,空载主磁通,Φδ0,Wb,0.010365012

55,气隙磁密,Bδ0,,0.841197022

56,气隙磁压降,,,

,,δ12,cm,0.02

,直轴磁路,Fδ,A,1101.610936

,交轴磁路,Fδq,,833.7137955

57,定子齿磁路计算长度,h1t1,,1.296666667

58,定子齿宽,bt1,,0.640544444

59,定子齿磁密,Bt10,T,1.793880386

60,定子齿磁压降,Ft1,A,233.4

,查第2章附录图2E-3得,Ht10,A/cm,90

61,定子轭计算高度,h1j1,cm,2.576666667

62,定子轭磁路计算长度,l1j1,cm,5.344105556

63,定子轭磁密,Bj10,T,1.114305729

64,定子轭磁压降,Fj1,cm,12.98083239

,查第2章附录图2C-4得,C1,,0.7

,查第2章附录图2E-3得,Hj10,A/cm,1.735

65,磁路齿饱和系数,Kt,,1.211871535

66,每对极总磁压降,ΣFad,A,1347.991769

,,ΣFaq,A,1080.094628

67,气隙主磁导,Λδ,H,7.68922E-06

68,磁导基值,Λb,H,1.50683E-06

69,主磁导标幺值,λδ,,5.102929677

70,外磁路总磁导,λ1,H,6.63380858

71,漏磁导标幺值,λσ,,1.530878903

72,永磁体空载工作点,bm0,,0.869003789

,,"与假设值误差小于1%,不用重复计算",,

73,气隙磁密基波幅值,Bδ1,T,1.034706209

74,空载反电动势,E0,V,201.5294268

五,参数计算,,,

75,线圈平均半匝长,lz,,31.68291587

,,lB,cm,23

,,d,cm,2

,,τy,cm,7.256888889

,,sinα,,0.549085249

,,cosα,,0.835766349

,,Cs,,4.341457934

76,双层线圈端部轴向投影长,fd,cm,2.383830511

77,定子直流电阻,R1,Ω,1.715893678

,,ρ,Ω.mm2/m,0.0217

,,S1,mm2,1.5386

,,d1,mm,1.4

78,漏抗系数,Cx,,8.21E-01

79,定子槽比漏磁导,λS1,,0.960865978

,查第2章附录2A-3得,Ku1,,0.87

,,KL１,,0.905

,,λu1,,0.40332871

,,λL1,,0.674

80,定子槽漏抗,Xs1,,4.69E-01

81,定子谐波漏抗,Xd1,Ω,6.28E-01

,查第2章附录2A-4得,ΣS,,0.0205

82,定子端部漏抗,Xe1,Ω,1.65E-01

83,定子斜槽漏抗,Xsk1,Ω,5.31E-01

84,定子漏抗,X1,Ω,1.63E+00

85,直轴电枢磁动势折算系数,Kad,,0.812981515

86,交轴电枢磁动势折算系数,Kaq,,0.325192606

,,Kq,,0.4

87,直轴电枢反应电流,Xad,Ω,6.558622511

,,Ed,V,193.4528014

,,I1d,A,1.231451467

,,Fad,A,158.2920937

,,f1ad,,0.011846361

,,bmad,,0.858709257

,,Φδad,Wb,0.009949617

88,直轴同步电抗,Xd,Ω,8.19E+00

89,交轴磁化曲线（Xaq-Iq）计算,,,

,见P428页表10-1Xaq-Iq曲线,,,

六,工作性能计算,,,

90,转矩角,θ,°,26.65

91,假定交轴电流,I1q,A,6.3

92,交轴电枢反应电抗,Xaq,Ω,12.19

,,,,根据I1q查表10-1得

93,交轴同步电抗,Xq,Ω,1.38E+01

94,输入功率,P1,kw,4.44E+00

,,SINθ,,0.448328451

,,SIN2θ,,0.801493714

,,COSθ,,0.893868894

95,直轴电流,Id,A,3.25E+00

96,交轴电流,Iq,A,6.34E+00

97,功率因数,cosφ,°,0.999959394

,,ψ,°,2.72E+01

,,φ,°,-5.17E-01

98,定子电流,I1,A,7.124891206

99,负载气隙磁通,Φδ,Wb,0.010084516

,,Eδ,V,196.0756768

100,负载气隙磁密,Bδ,T,0.818432713

101,负载定子齿磁密,Bt1,T,1.745334746

102,负载转子磁密,Bj2,T,1.084150606

103,铜耗,Pcu1,W,261.3172646

104,鉄耗,,,

,（1）定子轭重量,Gj1,kg,23.26410353

,（2）定子齿重量,Gt1,kg,4.209707539

,(3)单位铁耗,,,

,查第2章附录2E-4得,pt1,w/kg,6.2

,,pj1,w/kg,2.17

,(4)定子齿损耗,Pt1,W,26.10018674

,(5)定子轭损耗,Pj1,W,50.48310465

,(6)总损耗,PFe,W,166.2166762

,,k1,,2.5

,,k2,,2

105,杂耗,Ps,,19.80654674

,,PsN,kw,0.02

106,机械损耗,Pfw,w,27.9841

107,总损耗,ΣP,kw,0.475324588

108,输出功率,P2,kw,3.97E+00

109,效率,η,%,8.93E+01

110,工作特性见P430表10-2,,,

111,失步转矩倍数,KM,,0.185361257

,,Tmax,,13.36

112