开关电源变压器计算公式

Sheet1 已知条件： 设计步骤： INPUT： 1、 选择磁芯材质，确定△B。 电压： 90 ～ 264 Vac 选择磁芯材质的:高Bs、低损耗、高μi。 Vinmin Vinmax 对于EE型磁芯,有 频率： 47 ～ 63 Hz △B = 0.2 T OUTPUT 2、 确定磁芯的尺寸及型号 电压1： 19 Vdc 1> 求磁芯的Ap以确定尺寸 Vo Ap = Aw*Ae=（Pt*104）/(2△B*fs*J*Ku) 电流1： 3.095 A 3.16 Iomax Iomax = 0.591 cm4 电压2： 12 Vdc 2> 形状及规格的确定 电流2： 0.1 A 根据上面计算的Ap，查磁芯的规格书，确定是EE16?EE19?EE25?之类，填入下表： 效率： η ≥ 0.83 Ae： 70.3 mm2 工作频率： fs = 70 Khz Aw： 125.3 mm2 AL: 2630 ±25% 名词解释： le: 64 mm Bs: 饱和磁通密度 Ap： 0.88 cm2 μi： 磁芯磁导率 Ve: 4499.2 mm3 Ap： 面积积 3、 估算临界电流Iob(DCM/CCM) Aw： 窗口面积 Iob = 80%*Iomax Ae： 磁芯有效截面积 = 2.528 A Po: 输出功率 4、 求匝比n = 60.01 VINmin= Vinmin*√2-20 Pt: 传递功率 = 107.2792206136 = Po/η+Po n= [VINmin/(Vo+Vf)]*[Dmax/(1-Dmax)] = 132.3001807229 W = 5.5 J： 电流密度，一般取值： 取值： 6 400 A/cm2 一般取整数，对于大于原数的，可降低铁损。 Ku： 绕组系数，一般取值： 验证Dmax 0.2 ～ 0.5 Dmax= n(Vo+Vf)/[VINmin+n(Vo+Vf)] AL: ? = 0.523 le: 磁路长度 0.02 Ve: 磁芯的体积 验算通过 Iob: 估算临界电流 5、 求CCM/DCM临界状态的副边峰值电流△ISB Vf: 二极管压降, 0.6 V △ISB= 2Iob/(1-Dmax) Dmax: 最大占空比 = 10.598 10.5333333333 取值： 0.5 6、 计算次级电感Ls和初级电感Lp △ISB： 临界状态的副边峰值电流 Ls= (Vo+Vf)(1-Dmax)*Ts/ΔISB Ls： 次级电感 = 12.6032784261 uH Lp： 初级电感 Lp= n2Ls △Isp: 副边峰值电流 = 453.7180233402 uH 取整 460 uH 注意： 此电感值为临界电感，若需工作在CCM，则增大此值； 若需工作在DCM，则减小此值； 7、 求CCM时副边峰值电流△Isp Io(max)= (2ΔIs+ΔISB)*(1-Dmax)/2 ∴ ΔIs= Io(max)/(1-Dmax)-(ΔISB/2) ∴ ΔIsp= ΔISB+ΔIs=Io(max)/(1-Dmax)+(ΔISB/2) = 11.89 A 8、 求CCM时原边峰值电流△Ipp ΔIpp= ΔIsp/n = 1.98 A 9、 确定Np、Ns 1>Np Np= Lp*ΔIpp/(ΔB*Ae) = 64.8 Ts 调整Np= 60 Ts 2>Ns Ns= Np/n 10 Ts 3>Nvo2 求每匝伏特数Va Va=(Vo+Vf)/Ns = 1.96 V/Ts ∴ Nvo2=(Vo2+Vf)/Va = 6.4285714286 Ts 取整： 7 Ts 10、 计算汽隙长度Lg lg= Np2*μo*Ae/Lp = 0.69 mmCORE參數對照表 CORE參數對照表 TYPE MATERIAL Dimensions(mm) Ap Ae Aw AL Le Ve Wt PCL100kHz200mT Pt(100kHz) 可配合BOBBIN A*B*C (cm4) (mm2) (mm2) (nH/N2) (mm) (mm3) (g) @100℃(W) (Watts) 幅寬 PIN 形狀 TYPEEECORE EE05 PC40 5.25*2.65*1.95 0.0013 2.63 5.00 285.00 12.60 33.10 0.16 0.02 1.1 2.7 6-8 H EE6.3 PC40 6.1*2.85*7.95 0.0015 3.31 4.46 405.00 12.20 40.40 0.24 0.02 2.7 6 H EE8 PC40 8.3*4.0*3.6 0.0091 7.00 13.05 590.00 19.47 139.00 0.70 0.06 1.9 4.78 6 H EE10/11 PC40 10.2*5.5*4.75 0.0287 12.10 23.70 850.00 26.60 302.00 1.50 0.16 6.6 8 V EE13 PC40 13.0*6.0*6.15 0.0570 17.10 33.35 1130.00 30.20 517.00 2.70 0.235 7.4 10 V EE16 PC40 16*7.2*4.8 0.0765 19.20 39.85 1140.00 35.00 672.00 3.30 0.31 8.5 6-10 VH EE19 PC40 19.1*7.95*5.0 0.1243 23.00 54.04 1250.00 39.40 900.00 4.80 0.42 9 6-8 VH EE19/16 PC40 19.29*8.1*4.75 0.1191 22.40 53.15 1350.00 39.10 882.00 4.80 0.41 9 6-8 VH EE20/20/5 PC40 20.15*10*5.1 0.1572 31.00 50.70 1460.00 43.00 1340.00 7.50 0.51 EE22 PC40 22*9.35*5.75 0.1590 41.00 38.79 2180.00 39.40 1610.00 8.80 0.61 8.45 8 V EE2329S PC40 23*14.7*6 0.4368 35.80 122.00 1250.00 64.90 2320.00 12.00 1.16 EE25/19 PC40 25.4*9.46*6.29 0.3128 40.00 78.20 2000.00 48.70 1940.00 9.10 0.9 EE25.4 PC40 25.4*9.66*6.35 0.3173 40.30 78.73 2000.00 48.70 1963.00 10.00 0.9 EE2825 PC40 28*12.75*10.6 0.8525 86.90 98.10 3300.00 57.70 5010.00 26.00 2.51 9.6 10 V EE30 PC40 30*13.15*10.7 0.7995 109.00 73.35 4690.00 57.70 6310.00 32.00 2.9 13.7 10-12 V EE30/30/7 PC40 30.1*15*7.05 0.7455 59.70 124.87 2100.00 66.90 4000.00 22.00 1.51 EE3528 PC40 34.6*14.3*9.3 1.3398 84.80 158.00 2600.00 69.70 5910.00 29.00 2.96 15.7 12 V EE40 PC40 40*17*10.7 2.2000 127.00 173.23 4150.00 77.00 9810.00 50.00 4.2 17.3 12 V EE4133 PC40 41.5*17*12.7 2.8260 157.00 180.00 4200.00 79.00 12470.00 64.00 6.25 EE42/21/15 PC40 42*21.2*15 4.9484 178.00 278.00 3800.00 97.90 19510.00 88.00 8.8 EE42/21/20 PC40 42*21.2*20 6.4625 235.00 275.00 5000.00 97.80 23000.00 116.00 11.6 EE47/39 PC40 47.12*19.63*15.62 4.7529 242.00 196.40 6660.00 90.60 21930.00 108.00 9.7 EE50 PC40 50*21.3*14.6 5.7343 226.00 253.73 6110.00 95.80 21600.00 116.00 9.4 21.3 12 V EE55/55/21 PC40 55.15*27.5*20.7 13.6764 354.00 386.34 7100.00 123.00 43700.00 234.00 11.0(150MT) EE57/47 PC40 56.57*23.6*18.8 9.7132 344.00 282.36 8530.00 102.00 35100.00 190.00 8.5 EE60 PC40 60*22.3*15.6 9.8558 247.00 399.02 5670.00 110.00 27100.00 135.00 12.5 23.8 12 V EE50.3 PC40 50.3*25.6*6.1 1.8447 120.85 152.64 2900.00 104.90 12676.00 68.00 5.83 28.25 12 H EE62.3/62/6 PC40 62.3*31*6.1 3.0330 153.01 198.22 3100.00 125.74 19240.00 102.00 8.85 33.85 12 H EE65/32/27 PC40 65.15*32.5*27 30.7625 535.00 575.00 8000.00 147.00 78700.00 399.00 5.9(100MT) TYPEECCORE EC35 3C85 35.3*17.3*9.5 1.3741 84.30 163.00 2100.00 77.40 6530.00 38.00 21.5 8 H EC41 3C85 41.6*19.5*11.6 2.5894 121.00 214.00 2700.00 89.30 10800.00 60.00 24.5 8 H EC52 3C85 52.2*24.2*13.4 5.5980 180.00 311.00 3600.00 105.00 18800.00 112.00 28.3 12 H EC70 3C85 71.7*34.5*16.4 17.8281 279.00 639.00 3900.00 144.00 40100.00 254.00 41.4 12/34 H TYPEEFCORE EF12.6 PC40 12.7*6.4*3.6 0.0311 13.00 23.90 810.00 29.60 385.00 2.00 0.17 3.5 10 V EF16 PC40 16.1*8.05*4.5 0.0800 20.10 39.82 1100.00 37.60 754.00 3.90 0.32 EF20 PC40 20*9.9*5.65 0.1013 33.50 30.24 1570.00 44.90 1500.00 7.40 0.69 EF25 PC40 25.05*12.55*7.2 0.2376 51.80 45.87 2000.00 57.80 2990.00 15.00 1.4 EF32 PC40 32.1*16.1*9.15 0.6515 83.20 78.30 2590.00 74.30 6180.00 32.00 2.9 TYPEEFDCORE EFD10 3F3 10.5*5.2*2.7 0.0084 7.20 11.60 500.00 23.70 171.00 0.45 0.02 6 8 H EFD12 3F3 12.5*6.2*3.5 0.0187 11.40 16.38 700.00 28.50 325.00 0.90 0.04 7.6 8 H EFD15 3F3 15*7.5*4.65 0.0470 15.00 31.35 780.00 34.00 510.00 1.40 0.06 8.8 8 H EFD20 3C85 20*10*6.65 0.1550 31.00 50.00 1300.00 47.00 1460.00 3.50 0.27 13.5 8 H EFD25 3C90 25*12.5*9.1 0.3938 58.00 67.89 2200.00 57.00 3300.00 8.00 0.38 16.4 10 H EFD30 3C90 30*15*9.1 0.6028 69.00 87.36 2100.00 68.00 4700.00 12.00 0.54 20.1 12 H TYPEEICORE EI12.5 PC40 12.4*7.4*4.85 0.0235 14.40 16.32 1200.00 21.30 308.00 1.90 0.12 3.5 10 V EI16 PC40 16.0*12.2*4.8 0.0839 19.80 42.37 1100.00 34.60 670.00 3.30 0.31 8.5 6-10 HV EI19 PC40 20*13.55*5.0 0.1305 24.00 54.36 1400.00 39.60 950.00 5.10 0.42 9.05 6-8 HV EI22 PC40 22.0*14.55*5.75 0.1606 42.00 38.24 2400.00 39.30 1630.00 9.80 0.6 8.45 8 V EI25 PC40 25.3*15.55*6.75 0.3165 41.00 77.19 2140.00 47.00 1927.00 9.80 0.79 9.8 8 V EI22/19/6 PC40 22.0*14.7*5.75 0.1980 37.00 53.50 2000.00 41.80 1550.00 8.50 0.64 8.45 8 V EI28 PC40 28.0*16.75*10.6 0.6005 86.00 69.83 4300.00 48.20 4145.00 22.00 1.65 9.6 10 V EI30 PC40 20.0*21.25*10.7 0.8207 111.00 73.94 4690.00 58.00 6440.00 34.00 3.1 13.7 10-12 V EI33/29/13 PC40 33.0*23.75*12.7 1.5854 118.50 133.79 4400.00 67.50 8002.00 41.00 3.5 16.6 12 V EI35 PC40 35.0*24.25*10.0 1.3343 101.40 131.59 3800.00 67.10 6804.00 36.00 2.85 15.7 12 V EI3530 PC40 35.0*24.2*12 1.6592 122.00 136.00 3950.00 68.00 8350.00 43.00 4.2 EI40 PC40 40.0*27.25*11.65 2.3301 148.00 157.44 4860.00 77.00 11300.00 60.00 4.8 17.3 12 V EI50 PC40 50.0*33.35*14.6 5.5218 230.00 240.08 6110.00 94.00 21600.00 115.00 9.2 21.3 12 V EI60 PC40 60.0*35.85*15.6 9.8024 247.00 396.86 5670.00 109.00 27100.00 139.00 1.25 23.8 12 V EI70 PC40 70.0*54.0*31.6 37.7618 698.00 541.00 10500.00 145.00 101530.00 519.00 7.61(100MT) TYPEEPCORE EP7 3C85 9.4*3.75*6.5 0.0102 10.70 9.50 1120.00 15.50 165.00 0.80 0.03 3.4 6 H EP10 3C85 11.5*5.1*7.6 0.0255 11.30 22.57 1025.00 19.30 215.00 1.10 0.04 5.6 8 H EP13 3C85 12.8*6.5*9.0 0.0456 19.50 23.40 1475.00 24.20 472.00 2.40 0.09 7.6 10 H EP17 3C85 18.0*8.4*11.0 0.1210 33.70 35.90 2230.00 29.50 999.00 5.00 0.16 9.45 8 H EP20 3C85 24*10.7*15 0.4997 78.70 63.50 3950.00 41.10 3230.00 16.00 0.5 12.45 10 H TYPEEPCCORE EPC10 PC44 10.2*4.05*3.4 0.0072 9.39 7.69 1000.00 17.80 167.00 1.10 0.072 5.4 EPC13 PC44 13.3*6.6*4.6 0.0288 12.50 23.00 870.00 30.60 382.00 2.10 0.14 8.6 6.9 10 H EPC17 PC44 17.6*8.55*6 0.0426 22.80 18.70 1150.00 40.20 917.00 4.50 0.35 20 EPC19 PC44 19.1*9.75*6 0.1235 22.70 54.40 940.00 46.10 10473.00 5.30 0.4 27 12.2 12 H EPC25 PC44 25.1*12.5*8 0.3967 46.40 85.50 1560.00 59.20 2748.00 13.00 1.11 63 14.7 12 H EPC25B PC44 25.1*11.43*6.5 0.2068 33.30 62.10 1560.00 46.20 1539.00 11.00 0.65 45 14.7 12 H EPC27 PC44 27.1*16*8 0.5897 54.60 108.00 1540.00 73.10 3995.00 18.00 1.56 80 20.5 12 H EPC30 PC44 30.1*17.5*8 0.7137 61.00 117.00 1570.00 81.60 5035.00 23.00 2.03 85 22.8 12 H TYPEERCORE ER9.35 TP4 9.35*2.35*4.6 0.0059 8.20 7.24 1270.00 13.70 111.80 0.55 ER9.5 PC44 9.5*2.45*5.9 0.0054 8.47 6.40 610.00 14.20 120.00 0.60 3.9 2.2 8 V ER11.5 PC44 10.83*2.45*4 0.0078 11.70 6.67 870.00 14.00 174.00 0.85 5.0 1.9 10 V ER14.5 PC44 14.5*2.95*6.7 0.0190 17.60 10.80 1280.00 19.00 333.00 1.00 9.5 1.9 10 ER1916 TP4 19.2*16*5.6 0.1985 28.80 68.93 1140.00 54.90 1584.10 1.80 ER25.5 PC40 25.5*9.3*7.5 0.3557 44.80 79.40 1920.00 48.20 2160.00 11.00 0.98 87 10.6 10 V ER25/51 TP4 25.4*25.4*18 0.0734 52.80 13.91 4330.00 27.20 1435.70 8.10 ER28/28 PC40 28.55*14*11.4 0.9359 82.10 114.00 2870.00 64.00 5257.00 28.00 2.3 203 16.1/16.7 10--12 HV ER28/34 PC40 28.55*16.9*11.4 1.2047 81.40 148.00 2520.00 75.50 6143.00 33.00 2.7 228 21.8/22.4 10--12 HV ER30/16 TP4 30*8*20 0.8546 107.50 79.50 4500.00 45.00 4833.80 25.00 ER30/35 TP4 30*17.5*11.2 1.3569 85.50 158.70 2160.00 75.40 6673.00 32.00 ER35/34 TP4 35*16.8*11.3 1.6178 107.00 151.20 3000.00 72.80 7790.00 51.00 26.4 12 V ER35/41 PC40 35*20.7*11.3 2.3326 107.00 218.00 2770.00 90.80 9682.00 52.00 4.2 325 26.1 12--16 V ER39/36 B1 39.1*17.8*12.5 2.7713 125.00 221.70 3850.00 84.00 10530.00 56.00 28.2 12 V ER39/42 B1 39.1*21.1*12.5 3.4975 125.00 279.80 3200.00 96.00 12000.00 57.10 28.4 16 V ER40/45 PC40 40*22.4*13.3 3.7101 149.00 249.00 3620.00 98.00 14587.00 78.00 6.3 421 27.8 16 V ER42/15 PC40 42*22.4*15.5 4.3262 194.00 223.00 4690.00 98.80 19163.00 102.00 8.6 433 27.8 16 V ER42/20 PC40 42.15*21.2*19.6 5.4960 240.00 229.00 5340.00 98.60 23635.00 116.00 10.7 509 27.3 16 H ER49/54 N27 49*27*17.2 9.0153 243.00 371.00 3500.00 118.00 28700.00 146.00 ER54/36 3C85 53.5*18.3*17.95 3.1500 250.00 126.00 6100.00 91.80 23000.00 61.00 3.8 31 18 V TYPEETDCORE ETD19 PC40 19.6*13.65*7.4 0.2912 41.30 70.50 1720.00 54.60 22530.00 13.30 1.1 79 ETD24 PC40 24.4*14.45*8.5 0.5743 56.30 102.00 2125.00 61.90 3480.00 19.50 1.6 115 ETD29 PC40 29.8*15.8*9.5 1.0687 73.60 145.20 2500.00 70.60 5193.00 28.00 2.4 170 19.7 13 H ETD34 PC40 34.2*17.3*10.88 1.8255 97.10 188.00 2780.00 78.60 7640.00 40.00 3.55 271 21.5 14 H ETD39 PC40 39.1*19.8*12.58 3.2125 125.00 257.00 3150.00 92.10 11500.00 60.00 5.3 382 26 16 H ETD44 PC40 44*22.3*14.9 5.3375 175.00 305.00 4000.00 103.00 18000.00 94.00 8.3 523 30 18 H ETD49 PC40 48.7*24.7*16.4 7.9875 213.00 375.00 4440.00 114.00 24200.00 124.00 11.2 682 ETD54 N27 54.5*27.8*19.3 11.5360 280.00 412.00 4200.00 127.00 35600.00 180.00 26 ETD59 N27 59.8*31.2*22.1 17.4064 368.00 473.00 5000.00 139.00 51200.00 260.00 TYPELPCORE LP22/13 PC44 25*11.2*12.9 0.5717 67.90 84.20 3310.00 49.00 3277.00 21.00 1.3 121 LP23/8 PC44 16.5*11.7*8.7 0.1853 31.30 59.20 1600.00 44.10 1377.00 9.60 0.52 50 LP32/13 PC44 25*15.9*12.9 0.8809 70.30 125.30 2630.00 64.00 4498.00 30.00 1.7 164 TYPERMCORE RM4 PC40 10.8*5.2*4.45 0.0218 14.00 15.60 680.00 22.70 318.00 1.70 0.08 6.9 5.9 4-6 V RM5 PC40 14.3*5.2*6.6 0.0431 23.70 18.20 1250.00 22.40 530.00 3.00 0.18 16 4.9 4-6 V RM6 PC40 17.6*6.2*8 0.0952 36.60 26.00 1600.00 28.60 1050.00 5.50 0.41 27 6.4 4-6 V RM8 PC40 22.75*8.2*10.8 0.3130 64.00 48.90 1950.00 38.00 2430.00 13.00 0.97 67 9.15 8-12 V RM10 PC40 27.85*9.3*13.25 0.6811 98.00 69.50 3630.00 44.00 4310.00 23.00 1.8 130 10.75 10-12 V RM12 PC40 36.75*11.7*16 1.5400 140.00 110.00 4150.00 56.90 7960.00 42.00 3.3 344 14.8 11-12 V RM14 PC40 41.6*14.4*18.7 2.9140 188.00 155.00 4600.00 69.00 13000.00 70.00 4.75 376 18.8 10-12 V TYPEPTSCORE PTS14/8 3C85 14.05*4.15*9.4 0.0374 17.00 22.00 1750.00 22.50 495.00 2.50 4 12 V PTS18/11 3C85 18*5.3*11.94 0.1067 37.20 28.67 2400.00 28.70 1070.00 5.00 0.19(25kHZ) 6 6 V PTS23/11 3C85 22.9*5.5*15.2 0.1846 57.20 32.28 3560.00 31.60 1810.00 9.00 0.28(25kHZ) 5.16 10 V PTS23/18 3C85 22.9*9*15.2 0.3610 58.30 61.92 2900.00 45.10 2630.00 13.00 0.41(25kHZ) 11.76 10 V PTS30/19 3C85 30*9.4*20.2 0.8864 111.00 79.86 4140.00 50.20 5570.00 30.00 0.87(25kHZ) 10.8 10 V TYPEPQCORE PQ20/16 PC44 20.5*8.1*14 0.2914 62.00 47.00 3880.00 37.40 2310.00 13.00 0.84 70 11.9 12 V PQ20/20 PC44 20.5*10.1*14 0.4080 62.00 65.80 3150.00 45.70 2790.00 15.00 1.02 92 11.9 12 V PQ26/20 PC44 26.5*10.1*19 0.7188 119.00 60.40 6170.00 46.30 5490.00 31.00 1.94 170 13.6 12 V PQ26/25 PC44 26.5*12.37*19 0.9971 118.00 84.50 5250.00 55.50 6530.00 36.00 2.32 195 13.6 12 V PQ32/20 PC44 32*10.27*22 1.3736 170.00 80.80 7310.00 55.50 9420.00 42.00 2.92 232 PQ32/30 PC44 32*15.17*22 2.4086 161.00 149.60 5140.00 74.60 11970.00 55.00 3.92 331 18.5 12 V PQ35/35 PC44 35.1*17.37*26 4.3238 196.00 220.60 4860.00 87.90 19260.00 73.00 5.27 452 PQ40/40 PC44 40.5*19.87*28 6.5526 201.00 326.00 4300.00 101.90 20450.00 95.00 6.56 596 PQ50/50 PC44 50*24.97*32 14.2024 328.00 433.00 6720.00 113.00 37238.00 195.00 6.4 1045 TYPEUUCORE UU8.5 PC40 8.5*6.35*3.45 0.0251 7.76 32.30 560.00 31.40 243.00 1.20 0.12 UU9.8 PC40 9.8*7.1*2.7 0.0269 7.65 35.20 500.00 34.10 261.00 1.30 0.14 UU10.1 HS72 10.1*7.5*2.9 0.0327 8.60 38.00 515.00 35.70 300.00 1.50 0.15 UU10.5 HS72 10.5*7.9*5 0.0737 12.40 59.40 720.00 40.50 505.00 2.50 0.26 UU13.5 PC40 13.5*9.9*5 0.1374 16.30 84.30 800.00 49.20 803.00 4.00 0.4 UU15.22 PC40 15.2*11.2*6.7 0.2044 32.50 62.90 1400.00 50.50 1640.00 8.50 0.83 UU15.23 PC40 15.2*11.4*6.4 0.2121 31.90 66.50 1360.00 51.70 1650.00 8.60 0.83 UU15.7 HS72 15.7*9.7*6 0.2083 24.80 84.00 1100.00 50.00 1310.00 6.70 0.66 UU17 PC40 17*16.6*6 0.5165 26.90 192.00 750.00 78.30 2100.00 10.00 1.06 UU19.7 HS72 19.7*17.7*6 0.6948 36.00 193.00 980.00 83.20 2990.00 15.00 1.5 UU21 PC40 20.8*15.8*7.7 0.5616 54.00 104.00 1760.00 68.60 3700.00 19.00 1.86 UU25 PC40 25*14*7 0.7546 49.00 154.00 1530.00 72.00 3520.00 18.00 1.77Sheet3