电机设计计算常用公式1.输出功率2P 2P2.外施相电压1U 1U3.功电流KW I113210U m P I KW⋅⋅=4.效率η' η'5.功率因数ϕ'cos ϕ'cos6.极数p p7.定子槽数1Q 1Q 转子槽数2Q 2Q 8.定子每极槽数p Q Q P 11=转子每极槽数pQ Q P 22=9.定转子冲片尺寸见图10.极距P τpD i P 1⋅=πτ11.定子齿距1t111Q D t i ⋅=π12.转子齿距2t 222Q D t ⋅=π13.节距y y14.转子斜槽宽SK B SK B15.每槽导体数1Z 1Z 16.每相串联导体数1φZ11111a m Z Q Z ⋅⋅=φ式中:1a =17.绕组线规(估算)ϕη'⋅'=''∆⋅'='⋅'cos 111111KW I I a I S N 式中:导线并绕根数·截面积'⋅'11S N查表 取'⋅'11S N定子电流初步估算值ϕη'⋅'='cos I I KW1定子电流密度'∆1 '∆118.槽满率(1)槽面积22221R h h b R S S S S π+⎪⎭⎫ ⎝⎛-'+= (2)槽绝缘占面积 ⎪⎭⎫ ⎝⎛+++'=122S S i i b R R h C S π(3)槽有效面积 i S e S S S -=(4)槽满率ef S d Z N S 211⋅⋅=绝缘厚度i C i C导体绝缘后外径d d槽契厚度h h19.铁心长l铁心有效长 无径向通风道g l l eff 2+=净铁心长无径向通风道 l K l Fe Fe ⋅= 铁心压装系数Fe K Fe K20.绕组系数 111p d dp K K K ⋅=(1)分布系数2sin2sin 111αα⋅⎪⎭⎫ ⎝⎛⋅=q q K d 式中:pm Q q ⋅=1111Q p πα=(2)短距系数 () 90sin 1⋅=βp K式中:1p yτβ=21.每相有效串联导体数 1111dp dp K Z K Z ⋅=⋅φφ(二)磁路计算22.每极磁通118122.210dp K Z f E ⋅⋅⋅=φφ式中: 111U E L ⎪⎭⎫ ⎝⎛'-=ε23.齿部截面积(1)定子 111P Fe T T Q l b S ⋅⋅= (2)转子 222P Fe T T Q l b S ⋅⋅=24.轭部截面积(1)定子 Fe C C l h S ⋅'=11式中:定子轭部磁路计算高度'1C h 圆底槽:R h D D h S i C 312111+--='(2)转子Fe C C l h S ⋅'=22 转子轭部磁路计算高度'2C h 平底槽2222322K R i C d h D D h ---=' 25.空气隙面积 eff p g l S ⋅=τ26.波幅系数φφ平均最大=S F27.定子齿磁密11T ST S F B φ=28.转子齿磁密22T ST S F B φ=29.定子轭磁密1121C C S B φ⋅=30.转子轭磁密2221C C S B φ⋅=31.空气隙磁密gSg S F B φ=32.查附录Vl 得1T at 2T at 1C at 2C at33.齿部磁路计算长度 定子圆底槽 2S 1S 1T h h h +='+R 31 转子平底槽212R R T h h h +='34.轭部磁路计算长度定子ph D l C C 2111⎪⎭⎫ ⎝⎛'-='π转子ph D l C i C 2222⎪⎭⎫ ⎝⎛'-='π35.有效气隙长度21C C e K K g g ⋅⋅= 式中: 定、转子卡氏系数1C K 、2C K()()2175.04.475.04.4oo o C b b g t b g t K -++=半闭口槽和半开口槽()()2275.04.475.04.4oo o C b b g t b g t K -++=式中: 齿距t槽口宽o b36.齿部所需安匝定子 '⋅=1T 1T 1T h at AT 转子'⋅=2T 2T 2T h at AT37.轭部所需安匝定子'⋅⋅=1C 1C 11C l at C AT轭部磁路长度校正系数1C 1C转子'⋅⋅=2C 2C 22C l at C AT校正系数2C 2C38.空气隙所需安匝 e g g g B AT ⋅=8.039.饱和系数ggT T T AT AT AT AT F ++=2140.总安匝 g C C T T AT AT AT AT AT AT ++++=212141.满载磁化电流11122.2dp m K Z m pAT I φ⋅⋅=42.满载磁化电流标么值KWmm I I i =43.激磁电抗mm i x 1=(三)参数计算44.线圈平均半匝长(估算) 双层线圈 S B Z C L l 2+=式中: ()12d l L B +=直线部分长ατcos 2YS C =()[]βπτpR h h h D S S SO i Y ++++=2112式中:d1αα2sin 1cos -=111222sin T S S b R b Rb +++=α45.双层线圈端部轴向投影长αsin ⋅=S d C f47.漏抗系数()52121121063.2⋅⋅⋅⋅=U p K Z l P f C dp eff x φ48.定子槽单位漏磁导 11111L L U U S K K λλλ⋅+⋅=式中: 1U K1L K1U λ 49.定子槽漏抗x dp eff S S C Q K l p m l x 1211111⋅⋅⋅⋅⋅=λ式中:无径向通风道时l l =150.定子谐波漏抗x Tdp e p d C F K S gm x ⋅⎪⎪⎭⎫ ⎝⎛⋅⋅=∑21211πτ 式中: ∑S51.定子端部漏抗()x effd e C l f d x 5.02.111+=52.定子漏抗1111e d S x x x x ++=53.转子槽单位漏磁导 222L U S λλλ+= 式中: 2U λ2L λ 54.转子槽漏抗x eff S S C Q l p m l x 22122⋅⋅⋅⋅=λ55.x T e 2p12d C F R gm x ∑⎪⎪⎭⎫ ⎝⎛⋅⋅=πτ 式中:∑R56.转子端部漏抗 x Reff 2e C pD l 757.0x ⋅=R D57.转子斜槽漏抗2d 22SKSK x tb 5.0x ⎪⎪⎭⎫ ⎝⎛= 58.转子漏抗 SK e d S x x x x x +++=222259.总漏抗 21x x x +=60.定子相电阻100N S a Z l R 1111z 1⋅⋅⋅⋅⋅=φρ61.定子相电阻标么值 1KW11U I R r = 62.有效材料 51111Z Cu 10N S Q Z l C G -⋅⋅⋅⋅⋅⋅⋅=γ()321108.7-⋅⋅+⋅⋅=δD l K G Fe Fe式中: Cγ1S 式中: Fe Kδ63.转子电阻导条电阻⎪⎪⎭⎫ ⎝⎛⋅⋅⋅=2Q S l K K R B B B B B ρ端环电阻⎪⎪⎭⎫⎝⎛⋅⋅⋅⋅=R 2RR R Sp D 2K R πρ 式中:()4211110dp K Z m K φ=B K转子导条面积 B S 端环截面积R S转子导条或端环的电阻系数 B ρ,R ρ导条电阻标么值1U I R r KWBB = 端环电阻标么值1U I R r KWRR = 转子电阻标么值 R B r r r +=264.满载电流有功部分η'=1P i 65.满载电抗电流部分()()[]221Pm P m s i x K i x K i ⋅⋅+⋅⋅=式中:11x i K m m ⋅+=66.满载电流无功部分 x m R i i i +=67.满载电势 ()1111x i r i R P L ⋅+⋅-=-ε68.空载电势 1011x i m ⋅-=-ε69.空载定子齿磁密101011T L T B B εε--=70.空载转子齿磁密202011T L T B B εε--=71.空载定子轭磁密101011C L C B B εε--=72.空载转子轭磁密202011C LC B B εε--=73.空载气隙磁密g Lg B B εε--=11074.空载定子齿安匝 '⋅=11010T T T h at AT 75.空载转子齿安匝 '⋅=22020T T T h at AT76.空载定子轭安匝 '⋅⋅=1C 10C 110C l at C AT 77.空载转子轭安匝 '⋅⋅=2C 20C 220C l at C AT78.空载空气隙安匝 0g e 0g B g 8.0AT ⋅=79.空载总安匝 0g 20C 10C 20T 10T 0AT AT AT AT AT AT ++++=80.空载磁化电流1110022.2dp m K Z m pAT I φ⋅⋅=81.定子电流标么值 221R P i i i +=定子电流实际值 k w 11I i I ⋅=82.定子电流密度 11111S N a I ⋅⋅=∆83.线负荷1i 1111D I Z m A ⋅⋅⋅=πφ84.转子电流标么值 2x 2P 2i i i +=转子电流实际值21dp 11KW22Q K Z m I i I ⋅⋅⋅=ϕ端环电流实际值pQ I I R ⋅=π2285.转子电流密度 导条密度B B S I 2=∆ 端环密度RRR S I =∆ 86.定子铝损耗 1211r i p Al ⋅= 87.转子铝损耗 321110⋅⋅=P p P Al Al . 2222r i p Al ⋅=322210⋅⋅=P p P Al Al88.附加损耗3210⋅=P P P SS 参考实测值取 89.机械损耗3221065.5⎪⎭⎫⎝⎛⎪⎪⎭⎫ ⎝⎛=D p P fw 参考实测值取机械损耗标么值3210⋅=P P P fw fw =90.定子铁耗(1) 定子齿体积 '⋅⋅=111T T T h S p V (2) 定子轭体积 '⋅⋅=1112C C C h S p V(3) 损耗系数 1T p 1C p(4)定子齿损耗 1T 1T 1T V p P ⋅=(5)定子轭损耗 1C 1C 1C V p P ⋅=(6)总铁耗 1C 21T 1Fe P k P k P ⋅+⋅=铁耗校正系数 1k =2.5 2k =2铁耗标么值 32Fe Fe 10P P P ⋅=91.总损耗标么值 fw S Fe 2Al 1Al P P P P P P ++++=∑ 92.输入功率 ∑+=P P 1193. 总损耗比∑∑=1P P p94.效率 ∑-=p 1η=95.功率因数ηϕ⋅=11cos i 96.转差率()fwS C T Fe Al Al P P P P P P P Sn +++-++=1122197.转速()pS f n n -=112098.最大转矩⎪⎭⎫ ⎝⎛++-=221121x r r S T nM99.起动电流假定值 KW M st I T I ⋅=')5.3~5.2(100.起动时漏磁路饱和引起漏抗变化的系数 ()Cst L g AT B β⋅=6.1对应Kz()()0211211111707.0ε-⎥⎦⎤⎢⎣⎡⋅⋅+⋅'=Q Q K K K a Z I AT p d U st st 215.264.0t t gC ++=β101.齿顶漏磁饱和引起定子齿顶宽度的减少()()Z S K b t C --=10111 102.齿顶漏磁饱和引起转子齿顶宽度的减少()()Z 0222S K 1b t C --= 103.起动时定子槽单位漏磁导()()111111L L U U U st S K K λλλλ⋅+∆-= 式中: 1U λ∆ 104.起动时定子槽漏抗()()1111S S st S st S x x λλ=105.起动时定子谐波漏抗 ()11d Z st d x K x ⋅= 106.定子起动漏抗 ()()()1111e st d st S st x x x x ++= 107.考虑到挤流效应的转子导条相对高度 BR B B b fb h ρξ⋅⋅=1987.0式中:B h B h R B b bRB b bB ρ B ρ108.转子挤流效应系数 0~r r0~x x 109.起动时转子槽单位漏磁导()()()st L st U st S 222λλλ+= 式中:()222U U st U λλλ∆-=2U λ∆=0.43224()20~2L st L x x λλ⋅= 110.起动时转子槽漏抗 ()()2222S S st S st S x x λλ= 111.起动时转子谐波漏抗 ()22d Z st d x K x ⋅= 112.起动时转子斜槽漏抗 ()SK Z st SK x K x ⋅= 113.转子起动漏抗 ()()()()st SK e st d st S st x x x x x +++=2222 114.起动总漏抗()()()st st st x x x 21+= 115.转子起动电阻 ()R B B B B st r r l l l l l r r r +⎥⎦⎤⎢⎣⎡-+⎪⎪⎭⎫ ⎝⎛=0~2 116.起动总电阻()()st st r r r 21+= 117.起动总阻抗()()()22st st st x r z += 118.起动电流()st KW st z I I =1I I i st st = 119.起动转矩()()st st st z r T 22=。