电机设计计算公式

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相数m11频率f50Hz1额定功率Pn0.75kW2UnΦ127V额定电压Un220V3功电流Ikw5.904718664A4效率η'71.00%5功率因数cosφ'0.926极对数p47每极每相槽数q11定子槽数Z124转子槽数Z2248定子每极槽数Zp13转子每极槽数Zp239计算功率P'1061.113133VA满载电势标幺值KE’0.924158798极弧系数аp'0.658Knm'1.1Kdp1'0.7071线负荷A’56000A/m气隙磁密Bδ’0.77T转速n’1487r/min体积V0.000197241m3主要尺寸比λ1.8定子铁心内径Di1’0.065m定子冲片内外径比Di1/D10.644定子冲片外径D1’0.10146963m标准直径确定D10.8m定子铁心内径Di10.515m径向通风道数nK9径向通风道宽度bK10.010m铁心长度li0.67m铁心有效长lef0.58m净铁心长lFe0.55110气隙δ0.00210m转子铁心有效长度lef0.55520m转子外径D20.51100m转子内径Di20.26m11极距τ0.20232m12定子齿距t10.06744m转子齿距t20.06689m13节距12.514斜槽宽bsk0.06744m15每相串联导体数Nφ1’10027并联支路数a12每槽导体数Ns1’83616每相串联导体数Nφ110027每相串联匝数N1501317初选定子电密J1'6A/mm2定子电流初步估计值I1’9.04A导线并绕根数与每根导线截面积乘积Nt1*Ae1’0.75mm2并绕根数Nt12铜线高A1.25mm铜线宽B4mm截面积Ae1’4.785mm2Nt1*Ae1’9.57mm218槽形平行开口槽HS48mmBS16mmBS016mmHS01mmHS14mm定子轭磁密Bj1'1.55T定子齿磁密Bi1'1.54T定子轭部计算高估算hj1’0.034807037齿宽bi10.03549m19槽绝缘形式DMDM绝缘总厚度Δi0.5mm槽锲层压板厚度h4mm槽绝缘占面积At0.000072m2槽面积As0.000704m2槽有效面积Aef0.000632m2槽满率sf1265.24%20槽距角α60度短距系数Kp10.707106781分布系数Kd11.0000绕组系数Kdp10.7071每相有效串联导体数Nφ1*Kdp1709021Kl0.92转子导条电流I2’7370A转子导条电密JB'5.02A/mm2导条截面积AB’1468mm2转子齿磁密Bi2’1.57T转子轭磁密Bj2’1.65T铁心叠压系数Kfe0.95转子齿宽bi2’0.03453m转子轭部计算高度hj2’0.03270m转子槽型(梯形槽)hr04mmbr02.5mmHr42.2mmBr8mmh123mm转子齿宽bi20.03453m转子槽面积AB0.00030735m2端环电流IR’7038A端环电密JR’4.0A/mm2端环所需面积AR’1753mm2端环平均直径DR0.1255m端环设计后实际面积AR1500mm2端环设计尺寸25*60mm*mm22额定负载时感应电势与端电压比KB’0.895每相感应电势E1113.680268V23饱和系数Ks’1.1极弧系数аp0.658每极磁通Ф0.00014Wb24定子每极下齿部截面积At10.06777672m2转子每极下齿部截面积At20.065939654m225定子轭部计算高度hj1’0.0944m转子轭部计算高度hj2’0.0833m定子轭部导磁截面积Aj10.0520144m2转子轭部导磁截面积Aj20.0458983m226空气隙截面积Aδ0.112327268m227波幅系数Fs1.5328气隙磁密Bδ0.0020T29定子齿部磁密Bi10.00T30转子齿部磁密Bi20.00T31对应磁场强度Hi121.2A/cmHi226.7A/cm32气隙系数Kδ1.17有效气隙长度δef0.002451568m33定子齿部磁路计算长度Li10.048m转子齿部磁路计算长度Li20.0382m34定子轭部磁路计算长度Lj1’0.13854m转子轭部磁路计算长度Lj2’0.06741m35气隙磁压降Fδ3.274061381A36齿部磁压降Ft1101.76AFt2101.99A37饱和系数Ks63.23279782误差-98.260%修正假设饱和系数Ks’’42.5218652138定子轭部磁密Bj10.00T39转子轭部磁密Bj20.00T40对应磁密的磁场强度Hj15.21A/cmHj27.86A/cm41hj1’/τ0.466590889轭部磁位降修正系数Cj10.68hj2’/τ0.411726918轭部磁位降修正系数Cj20.44定子轭部磁位降Fj149.08345194转子轭部磁位降Fj223.311966842总磁压降F0279.42A43满载磁化电流Im0.700639549A44磁化电流标幺值Im*0.11865756745励磁电抗标幺值Xms*8.42761256Xms*8.4276125646定子线圈节距τy2.8284m节距比β12.5定子线圈直线部分伸出铁心的长度d10.025m定子线圈直线部分长度lB0.72m平均半匝长lc3.70m双层线圈端部斜边长Cs1.49m经验参数Kc1.1647端部平均长lE3.026m端部轴向投影长度fd0.462m48漏抗系数Cx22.2788349槽上部节距漏抗系数KU19.625槽下部节距漏抗系数KL17.46875槽上部比漏磁导λU10.3125槽下部比漏磁导λL10.895833333定子槽比漏磁导λs19.69950槽漏抗Xs1*144.048551定子谐波漏抗Xδ1*1.219338177系数Σs0.003652绕组端部漏抗XE1*11.8068801153定子漏抗标幺值Xб1*157.074755转子槽比漏磁导λs23.776槽上部比漏磁导λU22.296428571槽下部比漏磁导λL21.480λL56转子槽漏抗标幺值Xs2*32.39757转子谐波漏磁抗标幺值Xδ2*0.7621ΣR0.004558转子绕组端部漏抗标幺值XE2*1.820659转子斜槽漏抗Xsk*0.387360转子漏抗标幺值Xб2*35.366661定转子漏抗标幺值和Xб*192.441362定子绕组直流电阻R142.0122Ω铜电阻率ρw2.17E-08Ω·m63定子绕组相电阻标幺值R1*1.9530564定子铜重Gcu6627.94kg系数C1.05铜密度ρCu8900kg/m3硅钢片重量Gfe3217.25kg冲剪余量б0.005m硅钢片密度ρFe7800kg/m365转子电阻折算值R2'69.2975Ω导条电阻RB’68.3897Ω导条电阻标幺值RB*3.1793端环电阻RR’0.9078Ω端环电阻标幺值RR*0.0422修正KB1转子金属电阻率ρw2.17E-08Ω·m转子电阻折算值标幺值R2*3.221566定子电流有功分量标幺值I1P*1.408567转子电流无功分量标幺值Ix*212402815961.8390系数б119.638168定子电流无功分量标幺值I1Q*212402815961.958069满载电势标幺值KE-33363109896861.40070空载电势标幺值1-ε0-17.63871空载时定子齿部磁密Bi100.00T空载时定子齿部磁场强度Hi1010.1A/cm72空载时转子齿部磁密Bi200.00T空载时转子齿部磁场强度Hi2011.3A/cm73空载时定子轭部磁密Bj100.00T空载时定子轭部磁场强度Hj105.52A/cm74空载时转子轭部磁密Bj200.00T空载时转子轭部磁场强度Hj208.62A/cm75空载气隙磁密Bδ00.0000T76空载时定子齿部磁压降Fi1048.48A77空载时转子齿部磁压降Fi2043.17A78空载时定子轭部磁压降Fj1049.71A校正系数Cj10.6579空载时转子轭部磁压降Fj2023.24A校正系数Cj20.480空载时气隙磁压降Fδ00.00A81空载时每极磁势F00164.60A82空载磁化电流Im00.41A83定子电流标幺值I1*212402815961.958A定子电流I11254178871619.49A84定子电流密度J165526586813.98A/mm285定子线负荷A17769525085635640A/m86转子电流标幺值I2*212402815961.8390导条电流实际值I2370504904061847.00A端环电流实际值IR353806121527388.00A87导条电密JB1205482036967.13A/mm2端环电密JR235870747684.93A/mm288定子铜损耗的标幺值PCu1*88111590842602000000000.000PCu166083693131951500000000000W89转子损耗标幺值PAl2*145336680801567000000000.0000PAl2109002510601176000000000000W90负载时附加损耗Ps27Wps*0.03691机械损耗Pfw230.4w机械损耗标幺值Pfw*0.307292定子轭部铁耗PFej6093W定子齿部铁耗PFei2302W损耗系数Phej2.71W/kg损耗系数Phei3.78W/kg系数K13系数K22.5定子齿部重量Gi203.00kg定子轭部重量Gj899.35kg全部铁耗PFe22139W标幺值PFe*29.51993总损耗标幺值Σp*233448271644169000000000.000094输入功率标幺值Pn1*233448271644169000000000.000095效率η0.00%效率提升-16574827286736000000000000.00%判断不合格96功率因数cosφ0.00097额定转差率SN100.00%PFer*6.9207421598额定转速nN0r/min99最大转矩倍数Tm*0.000100初设起动电流Ist’0.0A系数K3.5101起动时产生漏磁的定转子槽磁势平均值Fsi#NUM!A虚拟磁密BL#NUM!T修正系数βc0.952582266102起动时漏抗饱和系数Ks0.45103漏磁路饱和引起的定子齿顶宽度的减少Cs10.028291737m104漏磁路饱和引起的转子齿顶宽度的减少Cs20.035414359m105起动时定子槽比漏磁导λs1(st)7.7773Δλu10.1996106起动时定子槽漏抗Xs1(st)*115.5128107起动时定子谐波漏抗Xб1(st)*0.5487108起动时定子漏抗Xδ1(st)127.8684109考虑集肤效应的转子导条相对高度ξ3.4565导条高度hB0.0382m110集肤效应引起的电阻增加系数KF3.5漏抗减小系数Kx0.43111起动时转子槽比漏磁导λs2(st)0.8567Δλu22.0762112起动时转子槽漏抗Xs2(st)*7.3491113起动时转子谐波漏抗Xδ2(st)*0.3429114起动时转子斜槽漏抗Xsk(st)*0.1743115起动时转子漏抗Xб2(st)*215.8135116起动时总漏抗Xб(st)*343.6819117起动时转子电阻R2(st)*9.62417118起动时总电阻Rst*11.5772119起动时总阻抗Zst*343.8768120起动电流Ist0.02A误差100.00%判断不合格起动电流倍数1.36911E-14型号1相数m112频率f503额定功率Pn0.754额定电压Un,UnΦ127.01705925功电流Ikw5.9047186646效率η'0.717功率因数cosφ'0.928极对数p49每极每相槽数q1110定子槽数Z12411转子槽数Z22412主要尺寸比λ1.813定子冲片外径D10.814定子铁心内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