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序号名称符号或算式单位计算结果过渡用值一额定数据1额定功率PNW154.53.1415926π2额定电压UNV135短距绕组y13额定转速nNr/min33504额定电流INA19.55起动转矩倍数TstN5二主要尺寸及永磁体尺寸选择6额定效率ηn=PN/UNIN*100%60.946745567计算功率P'=(1+2ηn/100)/(3ηn/100)*PNW187.508感应电动势初算值E'a=(1+2ηn/100)/3*UNV9.6153846159极对数p110永磁体材料类型铁氧体11预计永磁体工作温度℃12永磁体剩磁密度Br20T0.4工作温度时的剩磁密度为αbr为Br的温度系数%k-1IL为Br的不可逆损失率%13永磁体计算矫顽力Hc20KA/m320工作温度时的矫顽力为Hc=[1-(t-20)αBr/100](1-IL/100)Hc2014永磁体相对回复磁导率μr=Br/μ0Hc/10001.115工作温度下退磁曲线的拐点bk0.216电枢铁心材料DW470-5017电负荷预估值A'A/cm13018气隙磁密预估值Bδ'=(0.6--0.85)BrT0.3419计算极弧系数αi=0.6---0.750.6920长径比预估值λ=0.6----1.50.8121电枢直径Da=6.1*P'*10000/αi/A'/nN/λ(开三次方)cm5.2138.20696215.1702313122电枢长度La=λ*Dacm4.212取La为整数cm4.2叠片系数KFe冲片厚度0.20.350.50.94涂漆膜冲片0.910.930.94气化膜或磷化膜冲片0.930.950.9623极距τ=π*Da/2/pcm8.1681407624气隙长度δcm0.05永磁直流电动机电磁计算程序第1页，共6页25永磁体结构形式瓦片型26极弧系数αp,取αp=αi0.6927磁瓦圆心角θp,对瓦片形结构θp=αp*180°（°）124.228永磁体厚度hmcm0.729永磁体轴向长度Lmcm5.054430电枢计算长度Lefcm4.526250.4351.139231永磁体内径Dmi=Da+2δ+2hpcm5.332永磁体外径Dmo=Dmi+2hmcm6.733电枢圆周速度Va=πDanN/6000m/s9.12109051534机座材料合理选择铸钢35机座长度Lj=(2.0---3.0)Lam/s8.0536机座厚度cm0.3漏磁系数σ1.237机座外经Dj=Dmo+2hjcm7.3三电枢冲片及电枢绕组计算38绕组形式在小功率直流电动机中，通常两极的采用单叠绕组39绕组并联支路对数单叠绕组a=p；单波绕组a=1140槽数Q1241槽距t2=πDa/Qcm1.36135679342预计满载气隙磁通φδ'=αi*τ*Lef*Bδ'*10-4Wb8.6734E-0443预计导体总数N'=60aE'a/p/φδ'/nN198.556150944每槽导体数NS＇Ns'=N'/Q16.5463459145每槽元件数146每元件匝数88.27317295347实际每槽导体数19248实际导体总数49换向片数1250实际电负荷A/cm114.59156151支路电流A9.7552预计电枢电流密度A/mm22253预计导体截面积mm20.44318181854并联根数155导线裸线线经0.750.751183480.5642766356导线绝缘后线经mm0.7857实际导线截面积mm20.44178645958实际电枢电流密度A/mm222.0694858259实际热负荷A2/(cm*mm2)2528.9768360槽型选择半梨形槽61槽口宽度cm0.262槽口高度cm0.12第2页，共6页63槽下部半径cm0.264槽上部倒角半径cm0.265槽上部高度h2=r23cm0.266槽上部宽度cm0.8767槽中部高度cm0.8768槽下部宽度cm0.469槽上部倒角圆心距cm0.4770槽高cm1.471齿宽cm0.3672槽净面积cm20.7042273槽满率%74线圈平均半匝长度cm11.2275电枢绕组电阻75度时的电阻Ω0.15138275325度时的电阻Ω0.12408422476转子冲片内径cm0.877电枢轭高cm0.878电枢轭有效高cm0.9四磁路计算79气隙系数1.093883332式中s=0.0423379151.0177777780.266666670.0660810053.750.1325515320.13333333km=1.00625888980气隙磁通密度T0.3481每对极气隙磁位差A297.536266282电枢磁通密度T1.46984216283电枢磁场强度A/cm20.184电枢齿磁位差A59.0876549285电枢轭磁通密度T1.2170293186电枢轭磁场强度A/cm1.887电枢轭磁位差A4.523893344Lj2cm2.5132740888定子轭磁通密度T2.15488388989定子轭磁场强度A/cm6090定子轭磁位差A461.8141122Lj1cm7.6969018791外磁路总磁位差A822.9619266五负载工作点计算92气隙主磁导H1.0539E-0693磁导基值H2.93475E-07第3页，共6页Amcm232.8692518794主磁导标幺值3.591295外磁路总磁导4.30942636996直轴电枢去磁磁动势A2.29183122FabnA0FabsA2.2918312297永磁体负载工作点bmn0.810963706hmn0.189036294fa'0.00085261698实际气隙磁通Wb8.8772E-042.30λσ0.718237728计算磁能积KJ/m326.5183计算磁钢平均截面积Sm=(Dme--Dmi)*Lacm25.88磁钢平均磁路长度Lm=π*(Dme--Dmi)*(1-α/2)/46.173229459选择磁钢的磁积能KJ/m328.5～32六换向计算99电刷尺寸电刷长Lbcm0.6电刷宽bbcm0.6电刷对数pb1100电刷面积cm20.36101每杆电刷数1102电刷电流密度A/cm254.16666667103换向器长度cm1.4104一对电刷接触压降V0.8105换向器直径cm2.5106换向器圆周速度m/s4.385139671107换向器片距cm0.654498458108换向元件电抗电动势V0.135005868漏磁导和4.036484279槽部比漏磁导1.747272727绕组端部比漏磁导1.065527066齿顶比漏磁导1.22368448621.3841421109换向元件交轴电枢反应电动势V0.088166387BaqT0.0001710663.8238417930.7磁钢的平均恢复导磁率5.65487E-061.25664E-06110换向元件中合成电动势小于0.5VV0.223172255第4页，共6页111换向区宽度cm2.609356793bb'1.248tk'1.361356793112换向区宽度检查bk=b'b+[ax+│K/2p-t1│-a/q]t'kcm2.6094式中b'b=bb*De2/Dk(厘米)1.248ax=K/Z1y1----绕组节距,用换向器片数表示5短距绕组y=4t'k=tk*De2/Dk(厘米)1.3614要求bk0.8τ(1-αδ)厘米2.025698908七最大去磁校核113不同工作时的最大瞬时电流A98.32031508突然起动时A98.32031508瞬时堵转时A80.5904222114直轴电枢磁动势A0A11.55556757AmaxA/cm577.7783785115交轴电枢磁动势A1628.184418116换向元件电枢磁动势A117电枢总去磁磁动势A3279.479971118最大去磁时永磁体工作点bmh0.316527624hmh0.683472376电枢去磁磁动势标幺值0.610022316119可逆退磁校核大于bk=0.2八工作特性120电枢绕组铜耗W57.56329193121电刷接触电阻损耗W15.6122电枢铁损耗PFe=pFe（Bj22Gj2+Bt22Gt2）(f/50)1.3W6.928002024pFe—单位损耗，根据冲片材料及工作频率查出W/Kg6.3电枢齿质量Gt2=7.8KFelt2π/4｛[De22-（Dxj2-dx2）2]-ZSS｝10-3Kg0.254442814电枢轭质量Gj2=7.8KFelt2*π/4[（Dxj2-dx2）2-Di22]*10-3Kg0.123831628k1.5123电刷对换向器的摩擦损耗W2.762637993124轴承摩擦和电枢对空气摩擦损耗W6.18125总机械损耗W8.942637993126总损耗W89.03393195127输入功率W243.533932128效率%63.44085145129电流校核A18.733379383.93138779第5页，共6页130实际感应电动势V9.364089451131满载实际转速r/min3373.85036132起动电流A80.5904222133起动电流倍数4.132842164134起动转矩N.m2.1862135起动转矩倍数4.9641Tn0.440394179第6页，共6页