最新永磁同步电机电磁设计实例(机秘)

永磁直流电机电磁计算程序和算例:手工输入公式计算，不可改．关键判定，提示说明．数据引用序号名称符号或算式单位算例一额定数据1额定功率PNW75.002额定电压UNV230.00额定转速nNrpm3,900.00额定电流INA0.58额定转矩TN=9.549*PN/nNN.m0.1628321222起动转矩倍数TstN4.5二主要尺寸及永磁体尺寸选择额定效率ηN=PN/(UN*IN*COSØ)*100%66.1433988888计算功率P'=((1+2η/100)/(3ηN/100))*PNW87.7966666667感应电势E'a=((1+(2ηN/100))/3)*UNV178.0865449628极对数p1永磁材料类型铁氧体预计永磁体工作温度t℃40永磁体剩磁密度Bt20T0.395工作时永磁体剩磁密度Br=(1-(t-20)*αBr/100)*(1-IL/100)*Bt20T0.3792剩磁温度系数αBr%K-10.2剩磁温度不可逆损失率IL%0永磁体计算矫顽力Hc20KA/M290工作时永磁体计算矫顽力Hc=(1-(t-20)*αBr/100)*(1-IL/100)*Hc20KA/M278.4永磁体相对回复磁导率μr=Br/(μ0*Hc)/10001.0839000435真空磁导率μ0=4*PI*10-70.0000012566工作温度下退磁曲线的拐点bk0.15电枢铁心材料DR510-50铁芯叠加系数KFe0.97电负荷预估值A'A/cm70气隙磁密预估值B'δ=(0.60-0.85)Br=0.8BrT0.30336计算极弧系数αi=0.6-0.750.7长径比预估值λ=0.6-1.50.630.6297709924电枢直径Da=(6.1*P'*104/α'*A'*B'δ*nN*λ)1/3cm5.2645431222电枢直径圆整cm5.24OK电枢长度La=λDacm3.3012电枢长度圆整cm3.3OK极距τ=PI*Da/(2p)cm8.2309727524气隙长度δcm0.08永磁体结构型式瓦片形极弧系数αP,αP=αI0.72磁瓦圆心角θP,θP=αP*180(°)129.6永磁体厚度hM0.85永磁体轴向长度LM,LM=Lacm3.3钕铁硼LM,LM=(1.1-1.2)Lacm3.96铁氧体电枢计算长度Lef,Lef=La+2δcm3.46钕铁硼Lef,Lef=La+△L'a(hM+δ)cm3.6168铁氧体△L'a=(0.45-0.5)((LM-La)/(hM+δ))0.3406451613永磁体内径Dmi=Da+2δcm5.4永磁体外径Dmo=Dmi+2hMcm7.1电枢圆周速度Va=pi*Da*nN/6000m/s10.7002645781机座材料-机座长度Lj=(2.0-3.0)La,取Lj=2.8Lamm9.242.803030303机座厚度hj=σ*αi*τ*Lef*B'δ/(2*Lj*B'j)cm0.2593408113机座厚度圆整cm0.25OK计算机座轭磁密B'j,B'j=(1.5-1.8)TT1.6漏磁系数σ,σ=(1.1~1.3)1.213机座外径Dj=Dmo+2hj7.6三电枢冲片及电枢绕组计算绕组型式单叠绕组并联支路对数a,a=p1槽数Q16槽距t2=pi*Da/Qcm1.0288715941预计满载气隙磁通Ф'δ=α'*τ*Lef*B'δ*10-4Wb0.0006321673预计导体总数N'=60*a*E'a/(p*Ф'δ*nN)4333.9683749412每槽导体数N'S=N'/Q270.8730234338每槽元件数u1每元件匝数W'S=N'S/(2*u)135.4365117169每元件匝数圆整为Ws135135422.573964497实际每槽导体数Ns=2*u*Ws270实际导体总数N=Q*Ns4320换向片数K=u*Q16实际电负荷A=N*IN/(2*pi*a*Da)76.102791109支路电流Ia=IN/(2*a)0.29预计电枢电流密度j'2=5-13A/mm²7预计导线截面积A'Cua=Ia/j'20.0414285714并绕根数Nt1计算导线裸线线径d'0=(4A'Cua/PI)1/20.2296704061导线裸线线径d0mm0.23OK导线绝缘后线径dmm0.25漆膜厚度0.01mm实际导线截面积ACUa=PI*Nt*d02/4mm²0.0415475628实际电枢电流密度j2=Ia/ACUa6.9799521356实际热负荷△=AJ2531.1938393262槽形选择半梨形槽槽口宽度b02cm0.27槽口高度h02cm0.115槽下度半径r22cm0.2槽上部倒角半径r23cm0.1槽上部高度h2,h2=r23cm0.1槽上部宽度d1cm0.6950.6944412915槽中部高度h22cm0.7230.723槽下部宽度d2cm0.4槽下部倒角圆心距d3cm0.495槽高ht2cm1.138齿宽bt2,近似取平行齿cm0.2494412915槽净面积As=PI*(r222+r232)/2+h22(d1+2r22)+r23*d3-Ci(PI*r22+2*h22+d1)cm²0.4601879901槽绝缘厚度Cicm0.023槽满率Sf=Nt*Ns*d2/As%36.6697966088线圆平均半匝长度Lav=La+Ke*Da,Ke=(1.35,p=1)cm10.374电枢绕组电阻Ra=ρ*N*Lav/(4*Acua*a2)11Ra20(ρa20=0.1785*10-3Ω.mm2/cm)Ω48.1351873159Ra75(ρa75=0.217*10-3Ω.mm3/cm)Ω58.5172865408转子冲片内径Di2,Di2=(0.15-0.25)Damm0.786转子冲片内径圆整mm0.8OK电枢轭高hJ2=(Da-2*ht2-Di2)/2mm1.082电枢轭有效高hj21=hj2+Di2/8mm1.182四磁路计算气隙系数Kδ,Kδ=(1.01-1.1)1.089气隙磁通密度Bδ=Ф'δ*104/(α*τ*Lef)T0.2693724444每对极气隙磁位差Fδ=1.6*Kδ*δ*Bδ*104A375.48363776电枢齿磁通密度Bt2=t2*Lef*Bδ/(bt2*La*Kfe)T1.2554077861电枢齿磁场强度Ht2(查磁化曲线图 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf )A/cm65电枢齿磁位差Ft2=2*ht2*Ht2A147.94电枢轭磁通密度Bj2=Ф'δ*104/(hj21*La*Kfe)T0.8354084569电枢轭磁场强度Hj2(查磁化曲线图表)A/cm21电枢轭磁位差Fj2=Lj2*Hj2A62.0810124276电枢轭部磁路平均计算长度Lj2=PI*(Dj2+hj2)/2pcm2.956238687定子轭磁通密度Bj=σ*Ф'δ*104/(2*hj*Lj)T1.659781192定子轭磁场强度Hj1,Hj1(查磁化曲线图表)A/cm36定子轭磁位差Fj1=Lj1*Hj1A415.6327080699定子轭部磁路平均计算长度Lj1=PI*(Dj-hj)/2pcm11.5453530019外磁路总磁位差∑F=Fδ+Ft2+Fj2+Fj11001.1373582575五负载工作点计算气隙主磁导Λδ=Ф'δ/ΣF0.0000006314磁导基值-主磁导标么值-外磁路总磁导-直轴电枢去磁磁动势-永磁体负载工作点-实际气隙磁通Фδ0.000630.0006321673六换向计算电刷尺寸,电刷长Lbcm0.6电刷尺寸,电刷宽bbcm0.53电刷尺寸,电刷对数pb1电刷面积Ab=Lb*bbcm²0.318每杆电刷数Nb1电刷电流密度Jb=IN/(Nb*pb*Lb*bb)A/cm21.8238993711换向器长度Lkcm1.4一对电刷接触压降△UbV2.5换向器直径DK,DK=(0.5-0.9)Dacm3.2换向器圆周速度Vk=PI*DK*nN/6000m/s6.5345127195换向器片距Tk=PI*DK/K0.6283185307换向元件电抗电动势-换向元件交轴电枢反应电动势-换向元件中合成电动势-换向区宽度-换向区宽度检查-七最大去磁校核不同工况时的最大瞬时电流突然起动时Imax=(UN-△Ub)/Ra204.7262722488瞬间堵转时Imax=(UN-△Ub)/Ra753.8877400756突然停转时Imax=(Ea-△Ub)/Ra753.0005927366突然反转时Imax=(UN+Ea-△Ub)/Ra75289.8218829517直轴电枢磁动势-交轴电枢磁动势-换向元件电枢磁动势-电枢总去磁磁动势-电大去磁时永磁体工作点-可逆退磁校核八工作特性电枢绕组铜耗Pcua=IN2*Ra7519.6852151923电刷接触电阻损耗pb=IN*△Ub1.45电枢铁损耗PFe=k*p10/50(f/50)1.3*(mt2*Bt22+mj2*Bj22)7.5763286139k=2-33铁损系数p10/50,查铁损手则W/kg6.3f=p*nN/60Hz50电枢齿质量mt2=7.84*Kfe*La*(PI/4*(Da2-(Da-2*ht2)2)-Q*As)*10-3kg0.1832544771电枢轭质量mj2=7.84*Kfe*La*PI/4*((Da-2*ht2)2-Dt22)*10-3kg0.1605456302电刷对换向器的磨擦损耗pKbm=2*μ*pb*Ab*pS*VkW3.3247600717"×pb"是错误的电刷单位面积压力Ps=2-6N/cm2(或=200-600g/cm2)N/cm²3.2电刷摩擦系数μ,μ=0.2-0.30.25轴承磨擦和电枢对空气磨擦损耗pBf+pWf≈0.04PNW3总机械损耗ptW=pKbm+pBf+pWfW6.3247600717总损耗∑P=Pcua+Pb+Pfe+PtWW35.0363038779输入功率P1=PN+∑PW110.04效率η=PN/P1*100%68.1593232023电流校核I'N=P1/UNA0.4784187125NO实际感应电动势Ea=UN-△Ub-I'N*Ra75V199.5042351134满载实际转速n=60*α*Ea/p*Фδ*Nrpm4398.2415148457起动电流Ist=(UN-△Ub)/Ra20A4.7262722488起动电流倍数Ist/I'N9.8789452109起动转矩Tst=p*N*Фδ*Ist/(2*PI*a)N.m2.0472136223起动转矩倍数Tst/TN12.5725415483电机 设计 领导形象设计圆作业设计ao工艺污水处理厂设计附属工程施工组织设计清扫机器人结构设计 图参考