反激变压器设计表格

反激 根据輸出的功率 36 W,可以決定使用的磁芯. 它的有效截面積為Ae= 98 mm2= 0.98 cm2 Vo= 9.00 V Io= 4.00 A fsw= 60 kHz 最底工作频率 Po= 36.00 W efficiency(η)= 87% Pin= 49.66 W Vinmin= 90.00 V Vinmax= 264.00 V VDCmin= 90.00 * 1.2 = 100 V (高電壓可取1.4V,低電壓可取1.2或1.15V) VDCmax= 264.00 * 1.4 = 369.6 V IDCmax= 0.166 A WesurpposethedutycycleDuty= 0.4 高電壓入力時dutycycle取0.3~0.4為宜,一般用0.35,低電壓入力時dutycycle取0.4~0.5為宜.一般用0.45 Vindcmin*Ton=Toff*Vflyback V*D 1600 Ton= 6.6666666667 us Toff= 10 us T= 16.6666666667 us F= 60 K 2PFK 5958620.68965517 so,Vflyback= 66.6666666667 V 一般在75~85之間 0.0002685185 Ipmax= 2*IDCmax/Duty= 0.8276 A 平均输入电流等于（平均电感电流乘以D） 0.2685185185 thePrimaryinductance: Lp=Vindcmin*Ton/Ipmax= 0.00081 H= 0.8055555556 mH 1.thePrimarywindingNP: Np=[(Lp*Ip)/Ae*ΔBm]*108= 50 t 磁通ΔBm大致取 1350 G 一般取2200G V*Ton Voff*Toff 2.theSec-windingNS: NS=[(VO+VF)/Vflyback]*NP= 7 t VF是二次側diode的正向導通壓降取 0.75 V V*D Voff*(1-D) Voff=Vout*N 3.theauxiliarywindingNa: Na=Vamin*Ns/(Vo+VF)= 8 t 設驅動電壓Vamin為 10 V N=Vin/Vout*(D/(1-D)) 驅動組與二次側同相位時 orNa= (Vamin/Vindcmax)*Np= 15 t 驅動組與一次側同相位時 6.45 Vin/Vout 15.503875969 線徑 D/(1-D) 0.8518518519 4.thePri-windingdiameterDp: IPrmsMAX=Ipmax*√(Duty/3)= 0.3022 A 6.8376068376 13.2070054551 設電流密度δ= 4 A/mm2 一般在4~5之間 Sp(截面積)=IPrmsMAX/δ= 0.07555 mm2 線徑過大,考慮n股並繞.單線與n股線的關系是Dn√n=Dp. DP=√(4SP/π)> 0.310146135 mm n= 1 股線 則,每股線徑為Dn= 0.3101 mm 5.theSec-windingdiameterDs: ISrmsMAX=IPrmsMAX*√(Toff/3T)=Io*√(4T/3Toff) ISrmsMAX= 5.9628 A Ss(截面積)=ISrmsMAX/δ= 1.49071 mm2 Ds=√(4SP/π)> 1.3776913593 mm 線徑過大,考慮兩股並繞.單線與n股線的關系是Dn√n=Dp. n= 2 股線 二次側的線粗,所以要考慮多股並繞.或三重絕緣線. 則,每股線徑為Dn= 0.9742 mm 6.theaux-windingdiameterDa: Ia=Ipmax/hfe= 0.04138 A 開關管的放大倍數為 20 取(10~20) Iarms=Ia*√(DUTY)= 0.02617 A Sp(截面積)=ISrmsMAX/δ= 0.00654 mm2 DP=√(4SP/π)> 0.0913 mm 用一次側的線即可. 線號的選取參見 線徑表 另外要考慮是否能繞的下BOBBIN當中,若不能則要修改DUTY.以減少線圈圈數 絞線線徑的計算:D=√n*d*1.155其中,n為股數,d為單股線徑,1.155為絞線系數. VO 36 VF 1 NP 56 NS 20 N=NP/NS 2.8 Vinmax= 264 Vinmax*1.414= 373.296 VL 80 MOSVDS 556.896線徑表W,可以決定使用的磁芯.CORE 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 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 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) 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 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 1.77431 R1 3.9 1.95 R2 3.9 R1 4.3 2.0451219512 R2 3.9 R1 4.22 2.0268472906 2.0065788177 4.1778 2.0065788177 R2 3.9 3.861 R1 4.12 2.0034912718 R2 3.9 R1 4.53 2.005904059 R2 3.6 R1 4.52 2.0039408867 R2 3.6