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1、主要技术指标[1]额定电压UN12V[2]额定电流IN2.1A[3]额定转速nN2100RPM[4]输出功率PN13W2、主要尺寸确定2、主要尺寸确定[5]电枢外径D=(6.1*108*P'/(αδABδnNλkp))1/3厘米[6]D=3.78(cm)选用3.41(cm)A--线负荷，对于连续工作状态取60~80安/厘米式中A--取60安/厘米Bδ--气隙磁密，铝镍钴一般取0.33~0.45特选铁氧体磁钢Y30H-2Bδ=（0.7~0.85）*4050铁氧体Bδ=（0.7~0.85）BrBδ--取3300Gsαδ--极弧系数，一般取0.6~0.75；αδ--取0.75λ--lt2/De2,lt2为电枢铁心长度，一般λ取0.7~1.5。λ--取0.64kp--短矩系数kp=sin(y1π/2τ)kp--取0.966η--效率η=PN/UNIN效率η=0.52P'--计算功率P'=(1+2*η)pN/3η机算功率P'=17.07W[6]电枢计算长度lδ[6]电枢计算长度lδ=2.18(cm)lδ=λD（厘米）3、定子尺寸3、定子尺寸[7]机壳外径Dj1[7]机壳外径Dj1Dj1=（1.4~1.7）D（厘米）Dj1=4.774~5.797(cm)Dj1应与标准外径符合，或Dj1值由用户给出。取Dj1=5.08(cm)[8]机壳厚度Δj1查表或自定[8]机壳厚度Δj1取0.16(cm)[9]气隙δ取0.015~0.06厘米,p=1及铁氧体电机取最大值[9]气隙δ选取δ=0.05(cm)[10]磁钢外径DMe=Dj1-2Δj1（厘米）[10]磁钢外径DMe=4.76(cm)[11]磁钢内径DMi=D+2δ（厘米）[9]磁钢内径DMi=3.51(cm)[12]电枢铁心长度l2[12]电枢铁心长度l2=1.98(cm)对铁氧体磁铁l2=lδ-l0对铝镍钴磁铁l2lδ端部气隙等效长度取l0=0.2(cm)[13]磁铁轴向长度l1[13]磁铁轴向长度l1取3.4(cm)对铁氧体磁铁l1lδ对铝镍钴磁铁l1=l2=lδ[14]磁铁径向高度hm[14]磁铁径向高度hmhm=(DMe-DMi)/2（厘米）hm=0.625(cm)对铁氧体磁铁hm应在下述范围：hm范围0.3~0.5hm=(6~10)δ（厘米）[15]磁铁截面积SM[15]磁铁截面积SM环形铝镍钴磁铁瓦形铁氧体SM=（DMe-DMi）l1/2p（厘米2）SM=αδπ（DMi+hm）l1/2p=16.56（CM2）瓦形铁氧体磁铁SM=αδπ（DMi+hm）l1/2p（厘米2）其中极对数p=1环形铁氧体磁铁SM=αδπ（D+hm）lδ/2p（厘米2）[16]瓦形铁氧体磁铁弧度角β[16]瓦形铁氧体磁铁弧度角ββ=αδ180°/pβ=135°4、电枢冲片尺寸[17]槽数Z[17]槽数ZZ=（2~4）DZ=6.82~13.64=3~13取Z=12通常选用奇数槽[18]槽形[18]槽形选半梨形槽、平行齿的槽形。一般选梨形平行齿或半梨形平行齿槽形，在容量极小的电机中也有采用圆形槽的。[19]冲片材料[19]冲片材料根据性能、经济要求选用。片厚为0.35或0.5毫米。选50W600，厚0.5mm[20]槽距t2[20]槽距t2t2=πD/Z（厘米）t2=0.893(cm)[21]极距τ[21]极距ττ=πD/2p（厘米）或τ=Z/2p槽τ=5.356(cm)或τ=6[22]齿宽bt2[22]齿宽bt2bt2=Bδt2lδ/kFeBt2l2（厘米）bt2=0.197~0.257(cm)式中Bt2=13000~17000（Gs）取bt2=0.24(cm)kFe--查表2-6取0.97[23]轭高hj2[23]轭高hj2hj2=αδτlδBδ/2kFeBj2l2（厘米）hj2=0.502~0.627(cm)式中Bj2=12000~15000（Gs）考虑到1/4转轴直径可导磁，因为转子冲片直接压装到转轴上，可认为1/4转轴取hj2=0.5(cm)直径导磁。[24]冲片内径d0[24]冲片内径d0冲片直接压装到转轴上,轴伸端直径应符合标准。内径d0取0.8(cm)[25]齿高ht2[25]齿高ht2ht2=(D-D4)/2+r2ht2=0.8045(cm)式中D4、r2参考[18]中的图形位置。式中D4=2.105(cm)r2=0.152(cm)[26]槽口宽b02[26]槽口宽b02b02（厘米）b02=0.18(cm)[27]槽口高h02[27]槽口高h02h02（厘米）h02=0.1(cm)[28]槽面积SS[28]槽面积SS计算出SS=0.283(cm2)5、磁路计算[29]气隙系数kδ[29]气隙系数kδ对半闭口槽kδ=t2(5δ+b02)/(t2(5δ+b02)-b02b02)对铁氧体磁钢kδ=[1/(2ln(1+0.5b02*/(δ*+hm*))+(1-b02*)/(δ*+hm*))-hm*]/δ*kδ=1.165式中δ*=δ/t2δ*=0.0560b02*=b02/t2b02*=0.2016hm*=hm/t2hm*=0.5069hm=hm(D-δ)/μr(D+hm)hm=0.4526μr取1.15[30]气隙磁密Bδ[30]气隙磁密BδBδ=φδ/αδτlδ（Gs）Bδ=0.114φδ（Gs）[31]气隙磁压降Fδ[31]气隙磁压降FδFδ=1.6kδδBδ(安)Fδ=0.0932Bδ(A)[32]齿磁密Bt2[32]齿磁密Bt2Bt2=t2lδBδ/bt2l2kFe（Gs）Bt2=4.221658Bδ（Gs）[33]齿磁场强度Ht2[33]齿磁场强度Ht2Ht2（安/厘米）Ht2（A/cm）查磁化曲线[34]齿磁压降Ft2[34]齿磁压降Ft2Ft2=2ht2Ht2（安）Ft2=1.609Ht2(A)[35]转子轭磁密Bj2[35]转子轭磁密Bj2Bj2=φδ/2kFeht2'l2（Gs）Bj2=0.433367φδ（Gs）式中hj2'--考虑1/4d0后的转子铁心轭高hj2'=hj2+1/8d0（厘米）hj2'=0.6(cm)[36]转子轭磁场强度Hj2[36]转子轭磁场强度Hj2Hj2（安/厘米）Hj2（A/cm）查磁化曲线[37]转子轭磁压降Fj2[37]转子轭磁压降Fj2Fj2=lj2Hj2（安）Fj2=2.043606Hj2(A)式中lj2=π(D4-d2-hj2)/2p（厘米）式中lj2=2.043606(cm)[38]定子轭磁密Bj1[38]定子轭磁密Bj1Bj1=σφδ/2Δj1lj（Gs）Bj1=0.572917φδ（Gs）式中σ--磁铁漏磁系数，1.1~1.3取σ=1.1lj--机壳轴向长（厘米）lj=6(cm)[39]定子轭磁场强度Hj1[39]定子轭磁场强度Hj1Hj1（安/厘米）Hj1（A/cm）查磁化曲线[40]定子轭磁压降Fj1[40]定子轭磁压降Fj1Fj1=Lj1Hj1（安）Fj1=7.728318Hj1(A)式中Lj1=π(Dj1-Δj1)/2p（厘米）式中Lj1=7.728318(cm)[41]外磁路总磁压降F0[41]外磁路总磁压降F0F0=Fδ+Fj1+Fj2+Ft1（安）F0=Fδ+Fj1+Fj2+Ft1(A)[42]空载特性计算[42]空载特性计算见下表见下表(Mx)φδ195002100022500240002550027000285003000031500330003450033363.6(Gs)Bδ=φδ/αδτlδ2224.152395.2422566.332737.422908.5130803250.6863421.77453592.8633763.9539353805.43(A)Fδ=1.6kδδBδ207.293223.2389239.185255.13271.076287302.967318.91268334.8583350.804366.75354.67(Gs)Bt2=t2lδBδ/bt2l2kFe9389.6210111.8910834.211556.512278.71300113723.2814445.56315167.8415890.11661216065.2(A/cm)Ht22.42.843.343.9657.110.2416.0827.644.879.0451.2(A)Ft2=2ht2Ht23.86164.569565.374066.371648.04511.4216.4761625.8727244.408472.0832127.1882.3808(Gs)Bj2=φδ/2kFeht2'l28450.659100.7059750.7610400.811050.91170112350.9613001.00713651.0614301.11495114458.7(A/cm)Hj22.052.32.593.063.524.085.27.19.6815.0423.216.08(A)Fj2=lj2Hj24.189394.7002945.292946.253437.193498.33810.6267514.50960319.7821130.735847.41232.8612(Gs)Bj1=σφδ/2Δj1lj11171.912031.2512890.61375014609.41546916328.1317187.518046.8818906.31976619114.6(A/cm)Hj17.058.259.5514.42230.239.46085120158130(A)Fj1=Lj1Hj154.484663.7586273.8054111.288170.023233.4304.4957463.69908656.907927.3981221.11004.68(A)F0=Fδ+Fj1+Fj2+Ft2269.829296.2674323.657379.043456.337540.2634.5657822.994081055.9561381.021762.41474.59(Mx)φm=σφδ214502310024750264002805029700313503300034650363003795036700-269.83-296.267-323.66-379.04-456.34-540-634.566-822.9941-1055.96-1381-1762-1474.6[43]磁铁平均磁路长LM[43]磁铁平均磁路长LM瓦形和环形铁氧体磁铁LM=1.25(cm)LM=2hm=DMe-EMi（厘米）环形铝镍钴磁铁LM=π(DMe+DMi)(1-αδ/2)/4p（厘米）带轭铁磁极极靴的铝镍钴磁铁LM=π(DMe+DMi)/4p-bM（厘米）式中bM--软铁磁极之身宽[44]去磁曲线0-295.8-591.6-887.4-1183.2-1479-1774.8-2070.6-2366.4-2662.2-2958Bm(Gs)405036453240283524302025162012158104050Hm(Oe)0295.8591.6887.41183.214791774.82070.62366.42662.22958φm=SMBm(Mx)67079.660371.6653663.746955.740247.83354026831.8520123.88613415.926707.960Fm=0.8LMHm(A)0295.8591.6887.41183.214791774.82070.62366.42662.22958[45]磁铁工作图[45]磁铁工作图见下图见下图求出空载工作点工作点为：φm，Fmφm=36700(Mx)求出气隙磁通量Fm=1474.593(A)φδ=φm/σ(Mx)φδ=33363.64(Mx)01000020000300004000050000600007000080000-3500-3000-2500-2000-1500-1000-5000φmFm6、电枢绕组计算6、电枢绕组计算[46]计算电势初算Ei'