75kW 2極高效三相異步電機(jī)計算程序

7.5kW2極高效三相異步電機(jī)計算程序設(shè)計高效三相感應(yīng)電動機(jī)，型號是HMS132S2-27.5kW。給定數(shù)據(jù)：輸出額定功率PN=7.5kW,額定電壓UN=400V（A接法），額定頻率為50HZ，極數(shù)P是2,相數(shù)m1=3.表4-1三相異步電動機(jī)HMS132S2-27.5kW手算步驟與結(jié)果一、額定數(shù)據(jù)及主要尺寸1?輸出功率P2P=7.5kW2P=7?5kW22.外施相電壓U1U=400v1U=400v13?功電流IgKWT P 7.5x103I=—n—二 A二6.25AkWmU 3x400N①I=6.25AkW4.效率耳'n'=0.901n=0.9015.功率因數(shù)cos申'cos=0.88cos0=0.886?極對數(shù)p2p=2p=17?定子槽數(shù)Q1Q=301Q=301轉(zhuǎn)子槽數(shù)Q2Q=262Q=2628.定子每極槽數(shù)Q=2=30=15P1 2p 2Q=15P1轉(zhuǎn)子每極槽數(shù)Q 二26二13P2 2pm2Q=13P29?定、轉(zhuǎn)子沖片尺寸定子槽型及其尺寸轉(zhuǎn)子槽型及其尺寸i1i\圖1 1『1廣f1ii.|l.<LRJhsl■/111../111bU:———i.丁:0II10?極距Tp—叫二3"14x11"6二18.212P p 2（兀=3.14）T=18.212cmp

11?定子齒距t1斤D 314v116t=1.214cm1t— H— im Z 301―——1.214cm1c *土 rH口匚/斤D 314v1160t=1.4cm12.轉(zhuǎn)子齒距t/ — c——12t 22Z 262丄?213.節(jié)距yy=12.6y=12.614.轉(zhuǎn)子斜槽寬bSKb=t=1.214cmSK 1Mb=1.214cmSK15.每槽導(dǎo)體數(shù)Z1Z=321Z=32116.每相串聯(lián)導(dǎo)體數(shù)Z式中：7—竺—30x32十0Z=320?1? — L—①1ma 3x111a一1118.(1)槽面積c 2R+bS— S 2/,\h一hkS 丿+兀R22S=1.075cm2S=1.075cm2(2)槽絕緣占面積S—C(2hr+兀R'i i\S 丿S=0.0951cm2i=0.025[2x1.18+3.14x0.46]=0.095cm2(3)槽有效面積S—S-Se S iS=0.9799cm2e=1.075-0.0951=0.9799cm2(4)槽滿率「N-Z-d2 1x32X1.582S=0.815絕緣厚度CkJ — 1 1 —f Se——u.oaimin97.99C=0.025cmi導(dǎo)體絕緣后外徑d=1.58mmid=1.58mm槽契厚度hh=2mmh=2mmC=0.025cmi19.鐵心長l鐵心有效長無徑向通風(fēng)道/ —l+2g=18.5+2x0.055effl=18.61cmef

=18.61cm凈鐵心長l無徑向通風(fēng)道l:K-1l-17.76cmFeFeFeFe-0.96X18.5=17.76cm鐵心壓裝系數(shù)kfK=：0.96K—0.96FeFeFe20.繞組系數(shù)K—K-KK-0.805dpid1P1dp1=0.83x0.97—0.805(1)分布系數(shù)(aK-0.83〃1sinq式中：K二k21丿-—0.83q.=10d1aq1-sm—2a—120Q3010Z7—1 1m?p13la=—7.360?！?x360。_12。1Q130(2)短距系數(shù)K二p1=sin0-90丿K—0.97P1=0.97式中：R—y12.6…R—0.84P—-U.OH-Q15P121.每相有效串聯(lián)導(dǎo)體數(shù)Z-K—Z-KZ.K—257.632?1dp1Q1dp19 dp1-320x0.805-257.632二、磁路計算22.每極磁通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.齒部截面積(1)定子S—b-lQS-153.45cm2T1T1FeP1T1

=0.576x17.76x15=153.45cm2（2）轉(zhuǎn)子S=b-1-QS—156.54cm2T2T2Fe P2T2=0.678x17.76x13=156.54cm224.軛部截面積（1）定子SfS—54.168cm2=h-1C1C1C1 Fe—H-r 傘工左立17夠口心丄苗式中：定子軛部磁路計算h=3.05cm=3.05x17.76=54.168cm2C1高度hC1fD—Dh=—1 n—h二21—11.6h1.65—3.05cmC12 e2圓底槽（2）轉(zhuǎn)子fS=53.10cm2S=h-1C2C2 Fec2式中：轉(zhuǎn)子軛部磁路計算咼=2.99x17.76=53.10cm2fh=2.99cm度hC2h=D2—￡2—h=11.6—4.3—0.66=2.99cC2C22 e2圓底槽m25.空氣隙面積S=t-1 =18.212x18.61S「=338.93cm2gp eff0=338.93cm226.波幅系數(shù)F=最大?FS=1.50S平均?=1.50nr-7 JH.百詁0=F =1.50x1187233.75B=11604.7GS27?定子齒磁密B=11604.7GS153.45T1T1sST1co ir-h \H12莎穴0=F =1.50x-1187233.75B=11376.3GS28?轉(zhuǎn)子齒磁密B=11376.3GST2T2sS156.54T2

29.定子軛磁密廠 1Q 1187233.75B=- =0.5x =10958.8GSci 2S 54.168C1B=10958.8GSC130.轉(zhuǎn)子軛磁密廠 1 0 1187233.75B= ? =0.5x =11179GSC2 2S 53.10C2B=11179GSC231.空氣隙磁密? 廠0 1187233.75B=F——=1.50x =5254.3GSg SS 338.93gB=5254.3GSg32.查書附錄VI得at=3ACM at =2.7A/CMT1 T2at=2.6A/CMat=2.65A/CMC1 C233.齒部磁路計算長度定子：半開口圓底槽轉(zhuǎn)子：圓底槽，1h=h+h+—R=1.413cmT1 S1 S23，1h=h+h+—r=1.83cmT2 r1 r232h'=1.413cmT1h'=1.83cmT234.軛部磁路計算長度定子：轉(zhuǎn)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.有效氣隙長度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、轉(zhuǎn)子卜氏系數(shù)K=C/K、Kt(4.45+0.75b)—b2o oK=1.25C1 C2即K二K*K=1.25xl.03=1.2875C1半閉口槽和半開口槽C' ClC2K=1.02C2式中：齒距為t槽口寬bo36.齒部所需安匝定子：AT=ath=3x1.413=4.239轉(zhuǎn)子：T1T1T1AT=4.239ArT1AT=ath=2.7x1.83=4.941AT=4.941AT2T2T2T237.軛部所需安匝AT廠1=C71fAT=25.64Azt廠1l =0.7x2.6x14.09=25.64cm廠1C1定子C1C1C1C=0.7軛部磁路長度校正系數(shù)C11C=0.71AT=C?at?l'=0.35x2.65x5.72=5.31AT=5.31AC22C2C2C2轉(zhuǎn)子C2C2=°?35C=0.35238.空氣隙所需安匝AT5=0.8B5?5=0?8x5254?3x0.0722eAT=303.5A5=303.5A39.飽和系數(shù)F=AT+AT.+ATg_Ft=1.03 n TL —TATg

4.239+4.941+303.5303.5=1.0340.總安匝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.滿載磁化電流, 2.22AT-p2.22x343.63x2I= = =1.97Amm?ZK 3x257.632191dpiI一1.97Am42.滿載磁化電流標(biāo)么值-? Ii —"一0.315m JKWi=0.315m43.激磁電抗—1x二—一3?175m ?mx=3.175m三、參數(shù)計算44.線圈平均半匝長（估算）單層線圈式中：式中：l=L+KsxtyZ B=23.5+1.2x17.9二44.98cml（直線部分長）=l+2d=18.5+2x2.5 -B 123.5cm〒河［21+2他a+龜1）+忽2+應(yīng)“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.單層線圈端部平均長l=2d+K-t=2X2.5+1.2X17.9=26.48cmS 1 S Y1=26.48cmS46.漏抗系數(shù)C=2.63fP(ZK)21/pU2.105X 2血dp1 ef 1=0.038C=0.038X48.定子槽單位漏磁導(dǎo)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：無徑向通風(fēng)道時1=1=18?5cm111=18.5cm50.定子諧波漏抗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.轉(zhuǎn)子槽單位漏磁導(dǎo)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.轉(zhuǎn)子槽漏抗“ 3pl九C 3x2x18.5x2.68x0.038x—篤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.轉(zhuǎn)子端部漏抗l-1 DCX*—0.757（—亠+—r）-xe2 1.13 2plx-=0.007e2端部結(jié)構(gòu)如圖eff=0.007leff—18.5cmILI□leff—18.5cmD—9.168cmRTT2一1廠1Hrr-'亠D—9.168cmRIZ1l~K:—U—57.轉(zhuǎn)子斜槽漏抗X*—0.5（匕/）2X*sk /t 022x=0.006SK=0.00658.轉(zhuǎn)子漏抗x—x+x+x+x2 S2 d2 e2 SKx=0.05242=0.0234+0.016+0.007+0.006=0.052459.總漏抗x—x1+x2=0.13+0.0524=0.1824x=0.1824

60.定子相電阻d P2NIR=—__=1.407Q1NAat1cl1R1=1.407Q61.定子相電阻標(biāo)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.轉(zhuǎn)子電阻導(dǎo)條電阻端環(huán)電阻式中：轉(zhuǎn)子導(dǎo)條面積端環(huán)截面積轉(zhuǎn)子導(dǎo)條或端環(huán)的電阻系數(shù)導(dǎo)條電阻標(biāo)么值端環(huán)電阻標(biāo)么值轉(zhuǎn)子電阻標(biāo)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.滿載電流有功部分-11iP= ，一 =1.11P耳‘0.901ip=1.1165.滿載電抗電流部分- —r- r —-l2F懇鞏"）】+區(qū)用"4ix=0.244式中：=0.244K=1+i-x,=1.041m m 166.滿載電流無功部分i二i+ix=0.315+0.244=0.559i=0.559R mR67.滿載電勢1-E=1-“"+心Flj1—￡=0.903L=0.90368.空載電勢1—￡=0.9591-￡■（）=1-?mxi0=0.95969.5T.in——耳Br.BT10=12324.4GS空載定子齒磁密rioi ii1-立=12324.4GS70.D_1_耳召丄'Ton— 丄'T'nBT20=12081.8GS空載轉(zhuǎn)子齒磁密JjJJ _ Jjj1-力=12081.8GS71.空載定子軛磁密-1一知B.B=11638GSC10cau 1 "口?1-力=11638GS72.空載轉(zhuǎn)子軛磁密E.^, E沙B=11872GSC20C*2U H rm1-它-=11872GS73.空載氣隙磁密b_1_gL aB=50二5580GS=5580GS

74.空載定子齒安匝fAT二A-h=4.239X1.413=5.99AT10 T1T1AT—5.99AT1075.空載轉(zhuǎn)子齒安匝fAT=A-h=4.941X1.83=9.04AT210 T2T2AT=9?04AT2076.空載定子軛安匝fAT=C-A-1 =0.7x25.64x14.09=252.9AC10 1 C1C1AT=252.9AC1077.空載轉(zhuǎn)子軛安匝fAT=C-A-/ =0.35x5.31x5.72=10.63AC20 2 C2C2AT—10.63AC2078.空載空氣隙安匝AT二0.8B5二0.8x5580x0.055二245.5AS0 50eAT=245.5A5079.空載總安匝=524.06AAT=524.06A080.空載磁化電流T 2.22AT-PI二 0—=3.01AM0m-Z-K1eieiI—3.01Am081.定子電流標(biāo)么值i二Ji2+i2二1.24A1 'p Ri]—1.24A定子電流實際值I=I=1.24x6.25=7.75A1 1 kwI]—7.75A82.定子電流密度A— 1 —3.875A/mm21a-NS1 11A1=3.875A/mm283.線負(fù)荷m-Z-1A— ―e1_1—204.3A/cm11 兀?Di1A]1=204.3A/cm

84.轉(zhuǎn)子電流標(biāo)么值轉(zhuǎn)子電流實際值端環(huán)電流實際值/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.轉(zhuǎn)子電流密度導(dǎo)條密度端環(huán)密度A—~2-2.67A/mm2BSBAR二Sr-2.15A/mm2RA-2.67A/mm2BA-2.15A/mm2R86.定子銅損耗P-i2-r-1.242x0.022-0.034cu1 1 1P-P-P-103cu cu12=0.034x7.5x1000=255wp-0.034cu1P-255wcu87.轉(zhuǎn)子鋁損耗P-i2-r-1.142x0.0178-0.023Al2 2 2P-p-P-103=0.023x7.5x1000=173.5AAl2 Al2 2P-0.023Al2P-173?5wAl288.附加損耗鑄鋁轉(zhuǎn)子P=0.012SP-P-P-103-0.012x7.5X1000-90ws s 2PS-0.012P-90ws89.機(jī)械損耗p 6 6丫(D)3P-6.5— —=91.31wfwIP丿l10丿P-91.31wfw

機(jī)械損耗標(biāo)么值- PP= fw—fw P?1032—0.012Pfw—0.01290.定子鐵耗rV—433.65cm2V=p-S?h—433.65cm2T1T1T1 T1(1)定子齒重量(2)V=2P-S?L=3052.91cm2V—3052.91cm2定子軛重量C1 C1C1c1(3)損耗系數(shù)p=0.04335T1p=0.04335T1p=0.027p=0.027C1C1(4)宀P」H土口打P二p?V=18.8wP=18.8w定子齒損耗T1 T1 T1T1(5)P=p?V=81.5wP=81.5w定子軛損耗C1 C1 C1C1(6)總鐵耗P二k?P+k?P=210wP=210wFe 1 T12 C1Fe鐵耗校正系數(shù)k=2.51k=2.51k=2k=222鐵耗標(biāo)么值PP— 廠—0.038PFe—0.028p — FeFeP?103291.總損耗標(biāo)么值工P—P+P+P+P+PyP—0.109CU1Al2 Fe S fw=0.10992.輸入功率P1—1+》P=1.109P1—1.10993.總損耗比y-乞p厶p———=0.106yp—0.098p194.效率耳—1-yp—耳—0.9021-0.098=0.90295.功率因數(shù)cosQ- 二=0.89cos申—0.89i1F96.轉(zhuǎn)差率“ p S—0.0276S—AL2 —U?U2/6nN1+P+P-(P—P)+P+PAL2Fe T1 C1 8 f

97.轉(zhuǎn)速120f(1-S)n二 n==2917.2r/minPn=2917.2r/min98.最大轉(zhuǎn)矩丁 1-S 「T= n =2.4M _ | ——2[r+yjr2+x2]1*1 iTM=2.4四、起動計算99.起動電流假定值I'=(2.5?3.5)T-1 =52.5Ast M KWfI=52.5Ast100.起動時漏磁路飽和引起漏抗變化的系數(shù)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.齒頂漏磁飽和引起定子齒頂寬度的減少C=C—b)(—K)=0.1642cmS1 1 01 ZC=0.1642cmS1102.齒頂漏磁飽和引起轉(zhuǎn)子齒頂寬度的減少C=C—b)1—K)=0.285cmS2 2 02 ZC=0.285cmS2103.起動時定子槽單位漏磁導(dǎo)式中：九 =K?(九—AX)+K?九=1.11s1(st) U1 U1 U1 L1 L1A=0.025U1X =1.11S1(st)AX=0.025U1104.起動時定子槽漏抗Xx =s1(st)?x=0?013s1(st) X s1s1xS1(st)= °?013105.起動時定子諧波漏抗x =K?x=0.07d1(st) Z d1xd1(st)=0?07106.定子起動漏抗x1(st)=xS1(st)+xd1(st)+xe1=0.013+0.07+°.03=0.113x1(st)=0.113

107.考慮到擠流效應(yīng)的轉(zhuǎn)子Ibf匕―0.1987h!丄—1.25cmg==1.25cmMi'bp■RB導(dǎo)條相對高度式中：h轉(zhuǎn)子導(dǎo)條高，對于鑄鋁轉(zhuǎn)子不包括槽口高Bb轉(zhuǎn)子導(dǎo)條寬對槽寬之比值，對于鑄鋁轉(zhuǎn)子—B-bb1R—BWbPQ根據(jù)內(nèi)容左右對齊BR導(dǎo)條電阻系數(shù)。對A、E、B級絕緣鋁為4.34（澆鑄），銅為2.17。對F、H級絕緣鋁為4.91，銅為2.45108.轉(zhuǎn)子擠流效應(yīng)系數(shù)r—=1.008r=1.008rr查轉(zhuǎn)子擠流效應(yīng)系數(shù)圖得00xx~=0.43=0.43xx00109.起動時轉(zhuǎn)子槽單位漏磁九s2(st)—X +X —0.4+0.507—0.907U2(st) L2(st)XS2(、—0.907(st)導(dǎo)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.起動時轉(zhuǎn)子槽漏抗XS2(st)X 一—s2(st)-x—0.008X s2s2xS2心)=°.°08111.起動時轉(zhuǎn)子諧波漏抗—心)=o.