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变压器设计公式

Worksheet for flyback transformer calculation Discontinuous Flyback Item

Unit Normal load Normal load 输出电压1Vo Vdc 14.6014.60输出电流1Io A 1.30 1.30输出功率1Po1

W 18.9818.98输出电压2Vdc 18.000.00输出电流2A 0.200.00输出功率2W 3.600.00输出电压3Vdc 0.000.00输出电流3A 0.000.00输出功率3W 0.000.00输出电压4Vdc 0.000.00输出电流4A 0.000.00输出功率4W 0.000.00总输出功率Po W 22.5818.98估计效率Eff -0.750.75输入功率Pin W 30.1125.31变压器

最低输入电压VinL Vac 30.0010.00Low line Vin valley VLdc Vdc 30.0010.00开关频率f MHz 0.6600.130最大占空比Dmax -0.4500.500死区时间Td uS 0.050.01二极管压降Vd V 0.800.40变压器理论匝比n Np/Ns 1.700.67最大峰值电流

Ipeak A 4.4610.12变压器初级理论电感L uH

4.59 3.80变压器型号

EI22EPC13Effective area of core

Ae mm 241.0012.50Effective magnetics path length le mm 39.4030.60Ferrite relative peameability ur -2300.002300.00气隙

mm 0.3000.250变压器理论初级匝数- 5.317.98变压器理论次级匝数- 3.1311.94变压器实际初级匝数Np -2512变压器实际次级匝数Ns -136变压器实际匝比Nact - 1.92 2.00变压器实际初级电感

Lo uH 101.548.59变压器最大磁通量(0.22-0.27)Bmax T 0.440.58输入电容计算Rated input voltage VinR Vac 200200Rated line Vin peak

Vrpeak Vdc 282.80282.80Max missing cycles allowed cycle -0.000.00输入频率fin Hz 50.0050.00最小输入电压Vop Vdc 170.00170.00电容量

Cap uF 8.31 6.99输出电容计算

Rectifier conduct time Toff usec 0.78 3.84Io1peak

Io1pk A 5.03 5.21Rectifier current = Io1 time

usec

0.58

2.88

T2Ripple current at Vo1Iripple1Arms 1.63 1.68FET

FET Derating factor Df 0.900.90Voltage spec of FET Vds V 600.00600.00High line Input voltage VinH Vac 265.00265.00High line Vin peak VHpeak Vdc 374.71374.71FET drain voltage Vdrain V 404.33404.71Allowed FET spike Vspike V

135.67135.29Output rectifier

Rectifier Derating factor Dr 0.850.85Voltage spec of Rectifier Vr V 40.0040.00Output rectifier peak voltage Vrect V 209.45201.96Allowed rectifier spike

Vdspike

-175.45

-167.96

Normal load Normal load Normal load Normal load Normal load Normal load

4.40 6.0012.00

5.5012.0012.00

2.000.50 5.00

3.00 1.500.50

8.80 3.0060.0016.5018.00 6.00

0.00 6.000.000.000.000.00

0.000.500.000.000.020.00

0.00 3.000.000.000.000.00

0.000.000.000.000.000.00

8.80 6.0060.0016.5018.00 6.00

0.750.750.800.750.750.78

11.738.0075.0022.0024.007.69

10.0080.0080.00180.0038.0085.00

0.1300.0600.0620.0620.0400.055

0.5000.4500.4500.4500.4500.375

0.010.050.050.050.000.10

0.400.800.300.030.80 1.00

2.099.68 5.3526.78 2.43

3.96

4.690.44 4.170.54 2.810.48

8.191350.00139.352405.06152.301200.75

EFD15EE16ER28EE20EE25EE13

15.0019.2082.1031.0040.0017.10

34.0035.0064.0043.0048.7030.20 2300.002300.002300.002300.002300.002300.00

0.2000.1800.3000.4000.2500.180

9.66104.5121.04160.7828.66103.88

4.6310.80 3.93 6.0011.8026.25

1096401204080

51086167

2.009.60 5.0020.00 2.5011.43

8.781139.03503.541339.79296.58712.09

0.270.270.640.200.520.25

200808080200230 282.80113.12113.12113.12282.80325.22

0.000.000.000.000.000.00

50.0050.0060.0050.0060.0050.00

170.0080.0060.0080.0085.0090.00

3.2418.7692.1551.60 3.250.93

3.849.128.828.8213.7511.26

8.02 1.8318.2810.97 5.45 1.61

2.88 6.62 6.41 6.419.977.77

2.590.60 6.00

3.60 1.790.54

0.90-0.100.900.900.900.90 600.00648.00648.00649.00650.00600.00 265.00264.00264.00265.00265.00265.00 374.71373.30373.30374.71374.71374.71 384.31438.58434.80485.31406.71523.28 155.69-503.38148.4098.79178.2916.72 0.85-0.15-0.150.850.8590.00 200.00148.00148.00149.00150.00100.00 191.7644.8986.6624.24161.8844.79 -21.76-67.09-108.86102.41-34.388955.21

Formula

=Vo*Io

=Vo2*Io2

=Vo3*Io3

=Vo4*Io4

=Po1+Po2+Po3+Po4

=Po/Eff

=VinL*1

=VLdc*Dmax/((Vo+Vd)*(1-Dmax-Td*f))

=2*Pin/(VLdc*Dmax)

=VLdc*Dmax/(f*Ipeak)

=SQRT(L*(lg+le/ur)/(4*3.1416*0.0001*Ae))

=Npsuggested/n

=Np/Ns

=Ae*4*3.1416*Np*Np*0.0001/(lg+le/ur)

=Lo*Ipeak/(Np*Ae)

VinR

=VinR*1.414

=2*Pin*(0.25+cycle+asin(Vop/Vrpeak)/6.2832)/fin/(Vrpeak^2-Vop^2) =(1-Dmax)/f-T

=2*Io/f/Toff

=(Io1pk-Io1)/Io1pk*Toff

=sqrt(((Io1pk-Io)^2*Ta/3+Io1pk^2*(Toff-Ta)/3+Io^2*(1/f-Toff))*f)

VinH

=VinH*1.414

=VHpeak+Nact*(Vo+Vd)

=Vds*Df-Vdrain

=Vo+VHpeak/Nact

=Vr*Dr-Vrect