三相同步电机电磁计算公式（精）

给定区

额定功率PN=75额定电压UN=400额定转速nN=1500额定频率f=50额定功率因数cos θ=0.8额定相数m=3额定电流IN=135.3204388定子计算区

极对数P=2

通风道数nK=0通风道宽度bK=0定子叠压系数Kfet=0.96定子铁芯净长度Lfet=23.04磁极铁芯总长度lm=24磁极铁芯净长度lfem=22.8

线负荷A=437.3640556发热参数Aj=3679.473134

(39定子齿距ts=1.7017 ts1=1.734425 ts2=1.930775 ts1/3=1.778058333 (40定子齿宽度bt1=0.834425 bt2=0.910775定子齿计算宽度bts=0.859875定子槽深hs=2.26定子齿计算高度hts‘=1.82磁路计算

定子轭高度hjs=3.2定子轭计算高度hjs’=3.37定子轭磁路长度ljs=13.175085极弧系数 αp’=0.7 (47极靴宽度bp=13.42824128磁极偏心距H=0.33121825极靴圆弧半径Rp=12.56878175极靴边缘高度hp'=0.25 (51极靴中心高度hp=2.19358252初取漏磁系数 ζ‘=1.048970637磁极宽度bm=7.668255488转子轭内径Dir=9转子轭外径Djr=14磁极中心高度hm=3.70641748磁极侧高度hm‘=3.768404852转子轭高度hjr=2.5 (59转子轭计算高度hjr‘=4转子轭磁路长度ljr=3.927转子轭轴向长度lr=24.3磁极与轭间的残隙 δ2=0.0088实际极弧系数=αp=0.693730948

气隙比 δm/δ=1.5最小气隙比极距 δ/τ=0.004897064 (66基波磁场幅度系数 α1=1.1151三次谐波磁场幅度系数 α3=0.00646758磁场分部系数fd=0.711265508磁场波形系数fb=1.108747511直轴电枢反应磁场幅度系数Ad1=0.8532交轴电枢反应磁场幅度系数Aq1=0.33884电枢磁动势直轴折算系数Kad=0.765133172电枢磁动势交轴折算系数Kaq=0.303865124 (74定子卡氏系数K δ1=1.113452078阻尼笼卡氏系数K δ2=1.030852295卡氏系数K δ=1.147804629 (77空载每极总磁通

θ=0.025001113斜槽系数Ksk=0.997146644气隙磁密最大值B δ=0.711292106定子视在磁密Bts‘=1.478524606定子轭磁密Bjs=1.609967011 (82气隙磁压降F δ=653.1394979定子齿磁压降Fts=10.738定子轭磁压降Fjs=82.2125304

气隙,定子齿,轭磁压降之和F δtj=746.0900283 (86计算漏磁几何尺寸 Υ1=0.409973094Υ2=0.554905146 am=3.100659528 ap=3.206420626

hpm=1.54572168 (87磁极压板厚d‘=0.6磁极压板宽b’=8.2磁极计算长度lm‘=25.2极靴漏磁导 Λp=6.89576E-07极身漏磁导 Λm=8.91309E-07磁极漏磁导 Λ=1.58088E-06 (93每极漏磁通 θζ=0.001179482漏磁系数 ζ=1.047177195磁极磁通

θm=0.026180596磁极极身截面积Sm=184.6762251 (97极身磁密Bm=1.417648411

转子轭磁密Bjr=1.346738462残隙处磁密B ζ2=1.422563654极身磁压降Fm=58.56139619

转子轭磁压降Fjr=67.5444残隙磁压降F ζ2=100.1484812空载每极磁压降Ffo=972.3443057

(104定子线圈尺寸

αc=0.685397076ηy=20.5257745 lF=13.25667083 lE=8.391213665 lB 30 (105线圈半匝平均长度lca=56.51334166定子绕组相电阻(75。Ra=0.067058269定子槽比漏磁导 λs=0.818063393 (108定子绕组端部比漏磁导 λe=0.42303719谐波比漏磁导 λh=0.278439327每相漏抗Xs=0.151903189漏抗标幺值Xs*=0.089008386相电阻标幺值Ra*=0.039291955 (113每极电枢反应磁动势Fa=3815.911027电枢反应直轴折算磁动势Fad=2919.680108电枢反应交轴折算磁动势Faq=1159.522278直轴电枢反应电抗标幺值Xad*=3.875914907交轴电枢反应电抗标幺值Xaq*=1.539281537直轴同步电抗标幺值Xd*=3.964923293交轴同步电抗标幺值Xq*=1.628289922 (120短路比Kc=0.33303111内功率因数角 ψ=68.73830376额定功角 θ=31.86840611稳态参数计算

5.额定负载时励磁磁动势和励磁绕组 (123额定负载时电动势标幺值

Ei*=1.08588376其中W=1.084838595 Q=0.047631536ε=2.514046155 (124额定工况磁路计算

θN=0.027148303 B δN=0.772380547 BtsN’=1.605505859 BtsN=1.605505859 BjsN=1.748237032 F δN=709.2335738 FtsN=52.78 FjsN 276.676785 F δtjN=1038.690359θδN=0.00164205ζN=1.060484437θmN=0.028790353 BmN=1.55896368 BjrN=1.480985224 B δ2N=1.564368888 FjrN 392.7 FmN=111.1925244 F δ2N=110.1315697 (125额定负载时每极磁压降

FEi=1817.985898额定负载时励磁磁动势FfN=4787.243375励磁绕组每极匝数Wf=150额定励磁电流IfN=31.91495584空载励磁电流Ifo=6.482295371

(130励磁绕组线规a*b=5.325励磁绕组导线截面积qf=9.11855881 (132第n层线圈平均匝长度lfn=91.5988 Qm 9.16 Wm 28 rm 0.5第n层线圈n=2 lcf=71.98 (134Rf(75。=1.016634338励磁绕组的电密jf=3.5额定励磁电压UfN=43.44247714空载励磁电压Ufo=6.946167169

(138每极阻尼条数nd=5每极定子绕组截面积Sa=1061.609472每根阻尼条截面积Sd≥ 42.46437888阻尼条直径dy=0.736361089 dd=0.809997198 (142阻尼条节距td=3.039066562阻尼齿的最大磁密Bd=0.155765707 7损耗与效率

(145定子齿钢片重Gt=22.91471088定子轭钢片重Gjs=63.01537333材料单位损耗P10/50=1.8齿部单位损耗pt=4.639768314轭部单位损耗pjs=5.501398895定子铁损耗PFe=732.6469567 (151磁极单位表面损耗pbm=474.4318814 6阻尼绕组设计

B0=0.223346988β0=0.251930531磁极表面损耗PFeb=64.5208994定子绕组铜损耗pcu1=3683.83686励磁损耗pcuf=1198.47332机械损耗Pmec=478.510596附加损耗Pda=1125总损耗 ΣP=7282.98864效率 η=0.91148853 8瞬态参数和时间常数

(159励磁绕组漏抗标幺值Xfs*=0.28079421励磁绕组比漏磁导 λfs=2.75169438励磁绕组电抗标幺值Xf*=4.15670912阻尼绕组直轴电抗标幺值

Xds*=0.43883449λds=7.5195078阻尼绕组横轴电抗标幺值Xqs*=0.87766899直轴瞬态电抗标幺值Xd*’=0.35083437

(164 交轴瞬态电抗标幺值Xq*‘=1.62828992直轴超瞬态电抗标幺值

Xd*’‘=0.25299405交轴超瞬态电抗标幺值Xq*’‘=0.6479688 (167励磁绕组电阻标幺值Rf*=0.004138励磁绕组时间常数Td0=3.19748665瞬变电流时间常数

Td’=0.36780445超瞬变电流时间常数Td‘’=0.04597556负序电抗X2*=0.40488548 (172直流分量时间常数Ta=0.03280029

控制励磁持续短路电流倍数fko=0.33303111额定励磁持续短路电流倍数fkN=1.63964654冲击短路电流倍数fy=7.47053142 (176整步功率Pr=147.946378 9有效材料

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