75kW 2极高效三相异步电机计算程序

7.5kW2极高效三相异步电机计算程序设计高效三相感应电动机，型号是HMS132S2-27.5kW。给定数据：输出额定功率PN=7.5kW,额定电压UN=400V（A接法），额定频率为50HZ，极数P是2,相数m1=3.表4-1三相异步电动机HMS132S2-27.5kW手算步骤与结果一、额定数据及主要尺寸1•输出功率P2P=7.5kW2P=7・5kW22.外施相电压U1U=400v1U=400v13•功电流IgKWT P 7.5x103I=—n—二 A二6.25AkWmU 3x400N①I=6.25AkW4.效率耳'n'=0.901n=0.9015.功率因数cos申'cos=0.88cos0=0.886•极对数p2p=2p=17•定子槽数Q1Q=301Q=301转子槽数Q2Q=262Q=2628.定子每极槽数Q=2=30=15P1 2p 2Q=15P1转子每极槽数Q 二26二13P2 2pm2Q=13P29•定、转子冲片尺寸定子槽型及其尺寸转子槽型及其尺寸i1i\图1 1『1广f1ii.|l.<LRJhsl■/111../111bU:———i.丁:0II10•极距Tp—叫二3"14x11"6二18.212P p 2（兀=3.14）T=18.212cmp

11•定子齿距t1斤D 314v116t=1.214cm1t— H— im Z 301―——1.214cm1c *土 rH口匚/斤D 314v1160t=1.4cm12.转子齿距t/ — c——12t 22Z 262丄・213.节距yy=12.6y=12.614.转子斜槽宽bSKb=t=1.214cmSK 1Mb=1.214cmSK15.每槽导体数Z1Z=321Z=32116.每相串联导体数Z式中：7—竺—30x32十0Z=320©1〜 — L—①1ma 3x111a一1118.(1)槽面积c 2R+bS— S 2/,\h一hkS 丿+兀R22S=1.075cm2S=1.075cm2(2)槽绝缘占面积S—C(2hr+兀R'i i\S 丿S=0.0951cm2i=0.025[2x1.18+3.14x0.46]=0.095cm2(3)槽有效面积S—S-Se S iS=0.9799cm2e=1.075-0.0951=0.9799cm2(4)槽满率「N-Z-d2 1x32X1.582S=0.815绝缘厚度CkJ — 1 1 —f Se——u.oaimin97.99C=0.025cmi导体绝缘后外径d=1.58mmid=1.58mm槽契厚度hh=2mmh=2mmC=0.025cmi19.铁心长l铁心有效长无径向通风道/ —l+2g=18.5+2x0.055effl=18.61cmef

=18.61cm净铁心长l无径向通风道l:K-1l-17.76cmFeFeFeFe-0.96X18.5=17.76cm铁心压装系数kfK=：0.96K—0.96FeFeFe20.绕组系数K—K-KK-0.805dpid1P1dp1=0.83x0.97—0.805(1)分布系数(aK-0.83〃1sinq式中：K二k21丿-—0.83q.=10d1aq1-sm—2a—120Q3010Z7—1 1m・p13la=—7.360。—1x360。_12。1Q130(2)短距系数K二p1=sin0-90丿K—0.97P1=0.97式中：R—y12.6…R—0.84P—-U.OH-Q15P121.每相有效串联导体数Z-K—Z-KZ.K—257.632®1dp1Q1dp19 dp1-320x0.805-257.632二、磁路计算22.每极磁通E-1089-1187233.75MX屮— 1 2.22f-Z-K91dp10.85x400x108 -1187233.75MX—2.22x50x258式中：E—1-£UE]-340v1kL丿1—0.85X400=340vcc fH^*1723.齿部截面积(1)定子S—b-lQS-153.45cm2T1T1FeP1T1

=0.576x17.76x15=153.45cm2（2）转子S=b-1-QS—156.54cm2T2T2Fe P2T2=0.678x17.76x13=156.54cm224.轭部截面积（1）定子SfS—54.168cm2=h-1C1C1C1 Fe—H-r 伞工左立17够口心丄苗式中：定子轭部磁路计算h=3.05cm=3.05x17.76=54.168cm2C1高度hC1fD—Dh=—1 n—h二21—11.6h1.65—3.05cmC12 e2圆底槽（2）转子fS=53.10cm2S=h-1C2C2 Fec2式中：转子轭部磁路计算咼=2.99x17.76=53.10cm2fh=2.99cm度hC2h=D2—£2—h=11.6—4.3—0.66=2.99cC2C22 e2圆底槽m25.空气隙面积S=t-1 =18.212x18.61S「=338.93cm2gp eff0=338.93cm226.波幅系数F=最大©FS=1.50S平均©=1.50nr-7 JH.百诂0=F =1.50x1187233.75B=11604.7GS27•定子齿磁密B=11604.7GS153.45T1T1sST1co ir-h \H12莎穴0=F =1.50x-1187233.75B=11376.3GS28•转子齿磁密B=11376.3GST2T2sS156.54T2

29.定子轭磁密厂 1Q 1187233.75B=- =0.5x =10958.8GSci 2S 54.168C1B=10958.8GSC130.转子轭磁密厂 1 0 1187233.75B= • =0.5x =11179GSC2 2S 53.10C2B=11179GSC231.空气隙磁密„ 厂0 1187233.75B=F——=1.50x =5254.3GSg SS 338.93gB=5254.3GSg32.查书附录VI得at=3ACM at =2.7A/CMT1 T2at=2.6A/CMat=2.65A/CMC1 C233.齿部磁路计算长度定子：半开口圆底槽转子：圆底槽，1h=h+h+—R=1.413cmT1 S1 S23，1h=h+h+—r=1.83cmT2 r1 r232h'=1.413cmT1h'=1.83cmT234.轭部磁路计算长度定子：转子：/，、兀 D一hLD1hc1丿 3.14[21-3.05]1'—14.09cmC11'—5.72cmC2l — —C1 2p 414.09cm7 D2+hc2丿3.14x(4.3+2.99)1 — — —5・/2c2 2p 4cm

35.有效气隙长度5=§•K-K=0.055x1.2875x1.02=0.07225=0.0722eC1C2e-^H-r 牛 尢土了匕丁歹；t(4.45+0.75b)K=1.2875C式中： 定、转子卜氏系数K=C/K、Kt(4.45+0.75b)—b2o oK=1.25C1 C2即K二K*K=1.25xl.03=1.2875C1半闭口槽和半开口槽C' ClC2K=1.02C2式中：齿距为t槽口宽bo36.齿部所需安匝定子：AT=ath=3x1.413=4.239转子：T1T1T1AT=4.239ArT1AT=ath=2.7x1.83=4.941AT=4.941AT2T2T2T237.轭部所需安匝AT厂1=C71fAT=25.64Azt厂1l =0.7x2.6x14.09=25.64cm厂1C1定子C1C1C1C=0.7轭部磁路长度校正系数C11C=0.71AT=C•at•l'=0.35x2.65x5.72=5.31AT=5.31AC22C2C2C2转子C2C2=°・35C=0.35238.空气隙所需安匝AT5=0.8B5•5=0・8x5254・3x0.0722eAT=303.5A5=303.5A39.饱和系数F=AT+AT.+ATg_Ft=1.03 n TL —TATg

4.239+4.941+303.5303.5=1.0340.总安匝AT二AT+AT+AT+AT+AT=T1 T2 C1 C2 54.239+4.941+25.64+5.31+303.5=343.63AAT=343.63A41.满载磁化电流, 2.22AT-p2.22x343.63x2I= = =1.97Amm・ZK 3x257.632191dpiI一1.97Am42.满载磁化电流标么值-• Ii —"一0.315m JKWi=0.315m43.激磁电抗—1x二—一3・175m •mx=3.175m三、参数计算44.线圈平均半匝长（估算）单层线圈式中：式中：l=L+KsxtyZ B=23.5+1.2x17.9二44.98cml（直线部分长）=l+2d=18.5+2x2.5 -B 123.5cm〒河［21+2他a+龜1）+忽2+应“小Ly-■ PP=17.9cmd1=2.5cosa=J1-sin2a=J1-0.5792=0.815. b+2Rsma= s1 b+2R+2bs1 T1=6.7+2x4.6 =0.5796.7+2x4.6+2x5.764IZ=449.8mml=235mmBC=10.98Sty一179mmd1=25mmcosa=0.815sina=0.579

45.单层线圈端部平均长l=2d+K-t=2X2.5+1.2X17.9=26.48cmS 1 S Y1=26.48cmS46.漏抗系数C=2.63fP(ZK)21/pU2.105X 2血dp1 ef 1=0.038C=0.038X48.定子槽单位漏磁导式中：九=K•九+K•九=1x0.385+1x0.75=S1 U1 U1 L1L11.135K=1U1K=1L1九=0.385U1九=0.75L1九=1.135S1K=1U1K=1L1九=0.385U1九=0.75L149.定子槽漏抗3pl九C3x2x18.5x1.135x0.038X= F^s1―X= s1 QK21 30x0.8052x18.611dp1eff=0.013x-=0.013S1式中：无径向通风道时1=1=18・5cm111=18.5cm50.定子谐波漏抗mt YSXd1=(一) Cd1 兀2xgk2-F Xe dp1 T=0.087x-=0.087d1式中：工S=0.02工S=0.0251.定子端部漏抗(1-0.64t)X*=0.67 yCe1 (Lk2d1丿xveff 如丿=0.03x=0.03e1

52.定子漏抗x=X”，+x,,+x,1 S1 d1 elx=0.131=0.013+0.087+0.03=0.12953.转子槽单位漏磁导九=九+九=1.5+1.18=2.68九—2.68S2 U2 L2S2式中：九=1.55九—1.55U2U2九=1.18九—1.18L2L254.转子槽漏抗“ 3pl九C 3x2x18.5x2.68x0.038x—笃0.0234.^X — 2S2X-—s2 QI 26x18.612eff=0.023455.mtYRCX*— 1p Xx=0.016d2d2 兀20F式中：e T=0.016工R—0.0057YR—0.005756.转子端部漏抗l-1 DCX*—0.757（—亠+—r）-xe2 1.13 2plx-=0.007e2端部结构如图eff=0.007leff—18.5cmILI□leff—18.5cmD—9.168cmRTT2一1厂1Hrr-'亠D—9.168cmRIZ1l~K:—U—57.转子斜槽漏抗X*—0.5（匕/）2X*sk /t 022x=0.006SK=0.00658.转子漏抗x—x+x+x+x2 S2 d2 e2 SKx=0.05242=0.0234+0.016+0.007+0.006=0.052459.总漏抗x—x1+x2=0.13+0.0524=0.1824x=0.1824

60.定子相电阻d P2NIR=—__=1.407Q1NAat1cl1R1=1.407Q61.定子相电阻标么值=0.022r1=0.02262•有效材料式中：式中：G=C•l•Z•Q•S•N-yx10-5Cu Z 1111=6.934kgG=K-1-(D+5)2-7.8x10-3Fe Fe 1=64.03kgC=1.05y=8.9S=1.1mm21K=0.96Fe5=5mmG=6.934kgCuG=64.03kgFeC=1.0500y=8.9000S=1.1mm21K=0.96Fe5=5mm

63.转子电阻导条电阻端环电阻式中：转子导条面积端环截面积转子导条或端环的电阻系数导条电阻标么值端环电阻标么值转子电阻标么值R-K[Kb*%b]'B£=0.805QR-K[2%Dr・Pr]R S•兀P2=0.31Q=19.91K=1.04Sp=0.7947cm2Sr=4.07cm2P=0.0434，P=0.0434B Rr—R—kw—0.013B BUr—Rkw—0.0048R RUr2-rB+^R=0.013+0.0048=0.0178R=0.805ORr=0.310K—19.91%=1.04Sp=0.7947cm2Sr=4.07cm27—0.013rR—0.0048r2—0.0178

64.满载电流有功部分-11iP= ，一 =1.11P耳‘0.901ip=1.1165.满载电抗电流部分- —r- r —-l2F恳巩"）】+区用"4ix=0.244式中：=0.244K=1+i-x,=1.041m m 166.满载电流无功部分i二i+ix=0.315+0.244=0.559i=0.559R mR67.满载电势1-E=1-“"+心Flj1—£=0.903L=0.90368.空载电势1—£=0.9591-£■（）=1-?mxi0=0.95969.5T.in——耳Br.BT10=12324.4GS空载定子齿磁密rioi ii1-立=12324.4GS70.D_1_耳召丄'Ton— 丄'T'nBT20=12081.8GS空载转子齿磁密JjJJ _ Jjj1-力=12081.8GS71.空载定子轭磁密-1一知B.B=11638GSC10cau 1 "口•1-力=11638GS72.空载转子轭磁密E.^, E沙B=11872GSC20C*2U H rm1-它-=11872GS73.空载气隙磁密b_1_gL aB=50二5580GS=5580GS

74.空载定子齿安匝fAT二A-h=4.239X1.413=5.99AT10 T1T1AT—5.99AT1075.空载转子齿安匝fAT=A-h=4.941X1.83=9.04AT210 T2T2AT=9・04AT2076.空载定子轭安匝fAT=C-A-1 =0.7x25.64x14.09=252.9AC10 1 C1C1AT=252.9AC1077.空载转子轭安匝fAT=C-A-/ =0.35x5.31x5.72=10.63AC20 2 C2C2AT—10.63AC2078.空载空气隙安匝AT二0.8B5二0.8x5580x0.055二245.5AS0 50eAT=245.5A5079.空载总安匝=524.06AAT=524.06A080.空载磁化电流T 2.22AT-PI二 0—=3.01AM0m-Z-K1eieiI—3.01Am081.定子电流标么值i二Ji2+i2二1.24A1 'p Ri]—1.24A定子电流实际值I=I=1.24x6.25=7.75A1 1 kwI]—7.75A82.定子电流密度A— 1 —3.875A/mm21a-NS1 11A1=3.875A/mm283.线负荷m-Z-1A— ―e1_1—204.3A/cm11 兀・Di1A]1=204.3A/cm

84.转子电流标么值转子电流实际值端环电流实际值/i2+i2二1.14Xp x— m-Z-kI-iI-u―-211.8A2 2KW Q匕2I-IQ2-876AR 2兀P-1.14212=211.8A/=876AR85.转子电流密度导条密度端环密度A—~2-2.67A/mm2BSBAR二Sr-2.15A/mm2RA-2.67A/mm2BA-2.15A/mm2R86.定子铜损耗P-i2-r-1.242x0.022-0.034cu1 1 1P-P-P-103cu cu12=0.034x7.5x1000=255wp-0.034cu1P-255wcu87.转子铝损耗P-i2-r-1.142x0.0178-0.023Al2 2 2P-p-P-103=0.023x7.5x1000=173.5AAl2 Al2 2P-0.023Al2P-173・5wAl288.附加损耗铸铝转子P=0.012SP-P-P-103-0.012x7.5X1000-90ws s 2PS-0.012P-90ws89.机械损耗p 6 6丫(D)3P-6.5— —=91.31wfwIP丿l10丿P-91.31wfw

机械损耗标么值- PP= fw—fw P・1032—0.012Pfw—0.01290.定子铁耗rV—433.65cm2V=p-S•h—433.65cm2T1T1T1 T1(1)定子齿重量(2)V=2P-S•L=3052.91cm2V—3052.91cm2定子轭重量C1 C1C1c1(3)损耗系数p=0.04335T1p=0.04335T1p=0.027p=0.027C1C1(4)宀P」H土口打P二p•V=18.8wP=18.8w定子齿损耗T1 T1 T1T1(5)P=p•V=81.5wP=81.5w定子轭损耗C1 C1 C1C1(6)总铁耗P二k•P+k•P=210wP=210wFe 1 T12 C1Fe铁耗校正系数k=2.51k=2.51k=2k=222铁耗标么值PP— 厂—0.038PFe—0.028p — FeFeP・103291.总损耗标么值工P—P+P+P+P+PyP—0.109CU1Al2 Fe S fw=0.10992.输入功率P1—1+》P=1.109P1—1.10993.总损耗比y-乞p厶p———=0.106yp—0.098p194.效率耳—1-yp—耳—0.9021-0.098=0.90295.功率因数cosQ- 二=0.89cos申—0.89i1F96.转差率“ p S—0.0276S—AL2 —U・U2/6nN1+P+P-(P—P)+P+PAL2Fe T1 C1 8 f

97.转速120f(1-S)n二 n==2917.2r/minPn=2917.2r/min98.最大转矩丁 1-S 「T= n =2.4M _ | ——2[r+yjr2+x2]1*1 iTM=2.4四、起动计算99.起动电流假定值I'=(2.5〜3.5)T-1 =52.5Ast M KWfI=52.5Ast100.起动时漏磁路饱和引起漏抗变化的系数口 ATB二——a二=23409i 1.6gpcKz=0.81=23409Kz=0.81AT=12Zr-0.707[K+(K2)K-h；1-s=st STa U1 d1p1Q 012=2060AAT=2060AStp=0.64+2.51g=1c Vt+t112p=1C1101.齿顶漏磁饱和引起定子齿顶宽度的减少C=C—b)(—K)=0.1642cmS1 1 01 ZC=0.1642cmS1102.齿顶漏磁饱和引起转子齿顶宽度的减少C=C—b)1—K)=0.285cmS2 2 02 ZC=0.285cmS2103.起动时定子槽单位漏磁导式中：九 =K•(九—AX)+K•九=1.11s1(st) U1 U1 U1 L1 L1A=0.025U1X =1.11S1(st)AX=0.025U1104.起动时定子槽漏抗Xx =s1(st)•x=0・013s1(st) X s1s1xS1(st)= °・013105.起动时定子谐波漏抗x =K•x=0.07d1(st) Z d1xd1(st)=0・07106.定子起动漏抗x1(st)=xS1(st)+xd1(st)+xe1=0.013+0.07+°.03=0.113x1(st)=0.113

107.考虑到挤流效应的转子Ibf匕―0.1987h!丄—1.25cmg==1.25cmMi'bp■RB导条相对高度式中：h转子导条高，对于铸铝转子不包括槽口高Bb转子导条宽对槽宽之比值，对于铸铝转子—B-bb1R—BWbPQ根据内容左右对齐BR导条电阻系数。对A、E、B级绝缘铝为4.34（浇铸），铜为2.17。对F、H级绝缘铝为4.91，铜为2.45108.转子挤流效应系数r—=1.008r=1.008rr查转子挤流效应系数图得00xx~=0.43=0.43xx00109.起动时转子槽单位漏磁九s2(st)—X +X —0.4+0.507—0.907U2(st) L2(st)XS2(、—0.907(st)导XU2(st)—°・4九—X-AX=1.55-1.15=0.4AX=1.15U2(st)U2 U2U2X,、—0.507L2\st丿式中：AX=1.15U2X—-・X—0.43X1.18=0.507L2(ST) X L20110.起动时转子槽漏抗XS2(st)X 一—s2(st)-x—0.008X s2s2xS2心)=°.°08111.起动时转子谐波漏抗—心)=o.