变压器参数计算(精)

Page6of6条件:INPUT:120V/60HZOUTPUT:30VDC@1.17AFULLWAVERECTIFIER12VDC@500mAFULLWAVERECTIFIER温升M600C电压调整率M10%解答：1、 原理图2、 交/直流功率、电流、电压的转换A、功率全波整流(双臂)挤式整流交，直流功率转换系数蜘1.571.11交/直流电流转换系数IQ0.7071交/直流电压转换系数的1.111.11SEC#1DC次级第二绕组交流输出功率：PSEC#2=PDCx1.57=1.57x0.5x12=9.42W次级交流输出总功率：P总=(PSEC#1+PSEC#2x2=(55.1+9.42x2=129.04WB、 电流次级第一绕组电流应为双臂电流：I=0.82719x2=1.654A次级第二绕组电流应为双臂电流：I=0.3535x2=0.707AC、 电压3、它波般浪瞅.瞄空Wl沆仍丰转檄系歆％L571.11金混电啪换慕叫Q.7071交,曲北电压传挽廉好L111.11心，础定电松财林XJGALiSSJ=2.S^3.0A/MM- KF.W5致率=90Wp2；il0V4.44x64)^tKJ.X/C>rX{J.9X0.25X1,5X］十心戒血税=曲 n=(D-d)/2玷外径 U为磁环内径 h为敬环厚度L心卸1仙枳内径九留d/2时1Wu=dh/2山他乱留由4肘・Wa=3dfV4精近抨网待孔此y,x129.041i3CM4CMIF-Lati=Px129.041i3CM4CMIF-L、/ 0.3576二().0673‘11■Page6of6[63.75?+21上Page6of6IM肘，h=4.6ICM铁心为：85(OD)X44([D)X28(H)算fNBniAe120X108=4.44x60xN两xl.5xIO4x5.74=23。1.7x104当5、NSEC#1=145TSEC#2:13.32X108=4.44x60xNSECx1.5x104x5.74=2301.7x104NSEC#2=58T6、电流的计算A次级反射到初级的电流I2’=Isec#1NSEC#1/NPRI+Isec#2NSEC#2/NPRI=1.654x145/523+0.707x58/523=0.536AB铁损电流铁的重量G=pxScxLc=7.65x(8.5-4.4/2x2.8x0.97x3.14x(8.5+4.4/2x10-3=0.863KG因1KG铁片它的损耗为3W,所以磁环的铁损为3X0.863=2.59W磁环的铁损电流I=2.59/120=21.6MAC磁化电流及空载电流查表VA0=7.65WI=7.65/120=63.75MA空载电流产：I02+21.62=67.3MAD初级电流的有功分量初级电流的有功分量等于铁损电流加上次级反射到初级的电流.I=536+21.6=557.6MAE初级电流初级电流的平方等于初级电流的有功分量的平方加上磁化电流的平方2+0.06732=0.561AF效率=有用功/总功x100%P总功=129.07/0.9=143.4W初级电流I=143.4/120=1.195A7线径的计算初级绕组线径Aw=I/J$2=4x1.195/3n$=0.712MM取0.70MM次级绕组线径gec#12=4x1.654/3时sec#1=0.838MM取0.9MM次级绕组线径$sec#22=4x0.707/3n$sec#2=0.5479MM取0.5MM8铁心/组间/外包绝缘A内贴，外围均用1G18012MMTAPE2X3MILX12MM1/2叠包5MILMYLAR1次B内贴，外围绝缘层的厚度：t01=T01=2X0.08(3mil=0.16mmC铁心绝缘层在内径一侧的厚度：t0=t01+2tZMZZKD0/d0=0.16+2x0.125x1x1.25x85/44=0.7637mmD铁心绝缘层在外径一侧的厚度:T0=T01+2tzMzZK=0.16+2x0.125x1x1.25=0.4725mmPage6of6tz绝缘材料的厚度Mz绝缘材料1/2叠包次数ZK绝缘叠包系数，取1.259、 估算绕组在铁心窗口能否绕下Sm2=[523x3.14/4x0.72+145x3.14/4x0.92+58x3.14/4x0.52]x10-2=4.04cm2查表3-55得:Qs=11cm2Km2=Sm2/Qs=4.04/11=0.3674查表3-56,铁心窗口可容导线的占空系数为0.333,计算值大于允许值(0.333<0.3674,故不能排下.故线径应减小，取线径为0.6mm.Sm2=[523x3.14/4x0.62+145x3.14/4x0.92+58x3.14/4x0.52]x10-2=2.969cm2Km2=Sm2/Qs=2.969/11=0.2699查表3-56,铁心窗口可容导线的占空系数为0.333,计算值小于允许值(0.2699<0.333,故能排下.10、 结构参量的计算A先绕细线因h(磁环的高度=28查表得H<48,允许绕线面积=11CM2Km1=(523x3.14/4x0.62x10-2/11=0.1344查表3-56,一个绕组时,Km1=0.493>0.1344可用机绕.B铁心叠包绝缘后内径和外径dz0=d0-2t0=44-2x0.7637=42.473mmDz0=D0+2T0=85+2x0.4725=85.945mmC第一绕组结构计算(1、第一绕组内、外侧层数(Kp为排绕系数，取1.15L1=N1dmlKp=523x0.6x1.15=360.87F1=4日L1dm1=4x3.14x360.87x0.6=2266.3X1=n(Dz0-dm1=3.14x(85.945-0.6=268Y1=n(dz0+dm1=3.14x(42.473+0.6=135.25Z1=2ndm1=2x3.14x0.6=3.768(两倍的线径周长在内径一侧层数：S1=(Y11-F1/Z1=2.296在外径一侧层数:S2=(-X11+F1/Z1=1.11(2、第一绕组的绕组厚度及绕完第一绕组后变压器内、外径(Kd为叠绕系数,取1.2第一绕组的内侧绕组厚度:61=S1dm1Kd=3x0.6x1.2=2.16第一绕组的外侧绕组厚度:△1=S2dm1Kd=2x0.6x1.2=1.44绕完第一绕组后,变压器内、外径变压器内径：dN1=dz0-261=42.473-2x2.16=38.153变压器外径：DN1=Dz0+2^1=85.945+2x1.44=88.825(3、外包绝缘后变压器的内径和外径在内径一侧的绝缘厚度：t1=2tzMzZkDN1/dN1=2x0.08x1x1.25x88.825/38.153=0.466mm在外径一侧的绝缘厚度：T1=2tzMzZk=2x0.08x1x1.25=0.2mm外包绝缘后变压器的内径:dz1=DN1-2t1=38.153-2x0.466=37.22mm取3层取1层Page6of6外包绝缘后变压器的外径：Dz1=DN1+2T1=88.825+2x0.2=89.025mmD第二绕组结构计算(1、第二绕组内、外侧层数(Kp为排绕系数，取1.1L2=N2dm2Kp=145x0.9x1.1=143.55F2=4日L2dm2=4x3.14x143.55x0.9=1622.689X2=n(Dz1-dm2=3.14x(88.745-0.9=275.8Y2=n(dz1+dm2=3.14x(36.735+0.9=118.17Z2=2ndm2=2x3.14x0.9=5.652在内径一侧层数：S3=(Y22-F2/Z2=1.25取1层在外径一侧层数:S4=(-X22+F2/Z2=0.52取1层(2、第二绕组的绕组厚度及绕完第二绕组后变压器内、外径(Kd为叠绕系数，取1.2第二绕组的内侧绕组厚度:62=S3dm2Kd=1.25x0.9x1.2=1.35第二绕组的外侧绕组厚度:△2=S4dm2Kd=1x0.9x1.2=1.08变压器内径：dN2=dz1-262=37.22-2x1.35=34.52变压器外径：DN2=Dz1+2^2=89.025+2x1.08=91.185在内径一侧的绝缘厚度：t2=2tzMzZkDN2/dN2=2x0.08x1x1.25x91.185/34.52=0.53mm在外径一侧的绝缘厚度：T2=2tzMzZk=2x0.08x1x1.25=0.2mm外包绝缘后变压器的内径：dz2=DN2-2t2=34.52-2x0.53=33.46mm外包绝缘后变压器的外径：Dz2=DN2+2T2=91.185+2x0.2=91.585mmE第三绕组结构计算(1、第三绕组内、外侧层数(Kp为排绕系数，取1.1L3=N3dm3Kp=58x0.5x1.1=31.9F3=4日L3dm3=4x3.14x31.9x0.5=200.33X3=n(Dz2-dm3=3.14x(91.585-0.5=286Y3=n(dz2+dm3=3.14x(33.46+0.5=106.6Z3=2ndm3=2x3.14x0.5=3.14在内径一侧层数：S5=(Y33-F3/Z3=0.28取1层在外径一侧层数:S6=(-X33+F3/Z3=0.11取1层(2、第三绕组的绕组厚度及绕完第三绕组后变压器内、外径(Kd为叠绕系数,取1.2第三绕组的内侧绕组厚度:63=S5dm3Kd=1x1.25x0.5x1.2=0.75第三绕组的外侧绕组厚度:△3=S6dm3Kd=1x0.5x1.2=0.6变压器内径：dN3=dz2-263=33.46-2x0.75=31.96变压器外径：DN3=Dz2+2^3=91.585+2x0.6=92.785外包2X3MILMYLAR装焊片，再叠包5MILMYLAR一次。dz3=dN3-2t3=dN3-2x(2tzMzZkDN3/dN3=31.96-2x(2x0.08x1.25x1x92.785/31.96=30.8DH=DN3+2T3=DN3+2(2tz++2tzMzZK+Q焊片=92.785+2x(2x0.08x1x1.25+2x0.08+1.5=96.485Page6of6PRIMARY:Lm1=2(a+h+n[t0+T0+(61+A1/2]=2(20.5+28+3.14[0.7637+0.4725+(2.16+1.44/2]=99+9.53=108.53mmSEC#1:Lm2=2(a+h+n[Dz1-D0+(62+A2+(d0-dz1]/2=99+3.14[89.025-85+44-37.22+1.25+0.52]/2=99+20=119mmSEC#2:Lm3=2(a+h+n[Dz2-D0+(63+A3+(d0-dz2]/2=99+3.14[91.585-85+44-33.46+0.75+0.6]/2=99+29=128mm12、 初/次级绕组的总长度L1=523xLm1=523x108.53x10-3=56.76mL2=145xLm2=145x119x10-3=17.255mL3=58xLm3=58x128x10-3=7.424m13、 初/次级绕组的铜重Gm1=56.76x6.982x0.62=142.7gGm2=17.255x6.982x0.92=97.58gGm3=7.424x6.982x0.52=12.96g14、 初/次级绕组的电阻Rm1=56.76x22.4x(1/0.62=3.53ohmRm2=17.255x22.4x(1/0.92=0.477ohmRm3=7.424x22.4x(1/0.52=0.665ohmKT=0.00393x(234.5+55+60=1.37热态电阻：r1=1.37x3.53=4.84ohmr2=1.37x0.477=0.654ohmr3=1.37x0.665=0.911ohm15、 总铜损Pm=I12r1+I22r2+I32r3=1.1952x4.84+1.6542x0.654+0.7072x0.911=6.854+1.79+0.455=9.1W16、电压比核算(1、次级空载电压U2U1/U2==N1/N2U2=N2U1/N1=33.2VU1/U3==N1/N3U3=N3U1/N1=13.3V(2、初级感应电压E1E1=U1-I1r1=120-1.195X3.53=114.24V(3、次级感应电压E2、E3E1/E2==N1/N2E2=31.67VE1/E3==N1/N3E3=12.66VU2=E2-I2r2=31.67-1.654x0.654=30.59VU3=E3-I3r3=12.66-0.707x0.911