transformer design

DesignInputs

kcu Ta (ºC) Ts (ºC) Freq. [kHz] Material Vpri,rms Ipri,rms Vsec,rms0.67 24 93 101 3C94 107 10.0 11067 100

Design Outputs

Core Type Core # V-A Rating Jrms Bac Npri Nsec

[watts] [mT] [#] [#]E-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504

EC-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504EFD-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504EP-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504ER-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504

ETD-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504PM-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504Potcore Err:504 Err:504 Err:504 Err:504 Err:504 Err:504PQ-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504

RM-I core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504U-core Err:504 Err:504 Err:504 Err:504 Err:504 Err:504

[A/mm2]

Notes

Any row having a cell entry of #N/A indicates that the

core in that row cannot meet the input specifications.

Throughput

Isec,rms Power9.73 2140 0.023482564

Skin, Prox. [nH]Acu,pri Acu,sec Effects? Vc+Vw Lleakage Efficiency

[%]

Err:504 Err:504 Err:504 Err:504 Err:504 Err:504











d [cm]

[mm2] [mm2] [cm3]

Any row having a cell entry of #N/A indicates that the

core in that row cannot meet the input specifications.

MANUFACT. SUGGESTED MATERIALMIN FREQ. MAX. FREQ. C(T) SIEMENS

0.9034283 N270.9203004 N410.9278937 N490.955259 N530.9905975 N590.9175383 N610.9185379 N621.0215842 N631.003176 N670.904462 N721.028636 N87

PHILLIPS0.87609 3B81.08121 3C151.20923 3C30

10 100 0.981933 3C8010 100 0.899158 3C8120 200 1.008659 3C85

1.070295 3C901.080913 3C94

20 1000 0.976477 3F31.008763 3F35

500 3000 0.948655 3F43000 10000 0.9398 4F1

21

Kc a b

3.06724E-05 1 2.451.89E-04 1 2.14

1.11842E-06 1 2.981.6E-06 1 2.860

2.54E-06 1 2.95111.22E-05 1 2.5851.95E-06 1 2.7133.0E-06 1 2.714

2.43265E-06 1 2.7561.07E-06 1 2.8652.33E-06 1 2.76

8.76E-07 1.6 2.51.08E-07 1.7 2.83.63E-07 1.5 2.79.43E-06 1.42 2.21.08E-06 1.56 2.554.54E-07 1.6 2.65.35E-07 1.5 2.61.51E-07 1.6 2.71.46E-06 1.3 2.51.31E-08 1.5 3.452.35E-07 1.35 3.091.68E-05 1.35 2.25

Transfer Data

1.51328E-07 1.6 2.7

Transfer Data

Core Rating Core #

Err:504 Err:504 Phillips Designation (mm) (mm) (mm)

Criteria Err:504 Core Type/NumberDim. A Dim. B Dim. CTestE Lleakage E5.3/2.7/2 5.25 2.65 2

Err:504 E6.3/2.9/2 6.3 2.9 20 Pwr Loss E13/6/6 12.7 5.7 6.4

Err:504 E13/7/4 12.95 6.5 3.7Jrms Bpeak E/16/8/5 16 8.2 4.7

Err:504 Err:504 E19/8/5 19.05 8.05 8.7E19/8/9 19.1 8.1 8.7

Acore Vc + Vw E20/10/5 20.7 10 5.3Err:504 Err:504 E20/10/6 20 7 5.9

E25/9/6 25.4 9.45 6.3E25/10/6 25.4 9.65 6.35E25/13/7 25 12.8 7.5E25/16/6 25.4 15.85 6.3E30/15/7 30.8 15 7.3E30/15/13 30.8 15.2 12.6E31/13/9 30.9 13.1 9.4E32/16/9 32 16.4 9.5E34/14/9 34.3 14.1 9.3E36/21/15 36 21.8 15.5E41/17/12 40.6 16.6 12.4E42/21/15 43 21 15.2E42/21/20 43 21 20E42/33/20 42 32.8 20E46/23/30 46 23.2 30E47/20/16 46.9 19.6 15.6E50/27/15 50 27.2 14.6E55/28/21 56.2 27.8 21E55/28/25 56.6 27.8 25E56/24/19 56.1 23.6 18.8E65/32/27 65 32.8 27.4E71/33/32 70.5 33.2 32E80/38/20 80 38.1 19.8

E Core Dimensions

A

B C

D

EF

No coil former : lw = 2(F+C)+0.5π(E-F)

As = surface area of assembled core plus surface area of winding not included in core surface area.

Mean turn length = lw

Winding Volume Vw = Awlw

Surface Area of assembled transformer

A

B C

D

EF

C

F

(E-F)14

radius =

Core surface area = 4AB + 4BC + 2AC

Surface area of winding not included in core surface area =4E{0.5}(E-F)+ 4{2D(0.5)(E-F)} = 2E(E-F) + 4D(E-F) = 2(E-F)(E+2D)

As = 4AB + 4BC + 2AC + 2(E-F)(E+2D)

2B C

(E-F)1

2

Rounded corners ignored in surface area estimate

A

A

E

2D

(E-F)1

2

Calculatedw/bobbin

(mm) (mm) (mm) (mm) (mm)

Dim. D Dim. E Dim. F Lm Ac Vc Lw 1.9 3.8 1.4 12.3 2.8 34.4 14.5

1.85 3.6 1.4 13.8 2.8 38.7 14.14.1 9.5 3.2 27.7 20.5 567.8 33.04.5 8.95 3.7 29.5 13.7 404.3 26.95.7 11.3 4.7 36.8 22.1 812.4 33.15.7 14.3 4.75 39.8 41.3 1645.0 45.85.7 14.3 4.75 39.9 41.3 1648.3 45.86.3 12.8 5.2 45.2 27.6 1245.8 36.87 14.1 5.9 45.5 34.8 1582.6 40.4

6.5 19.3 6.35 48.5 40.0 1941.3 49.56.4 18.8 6.35 48.4 40.3 1952.1 48.88.7 17.5 7.5 56.6 56.3 3182.3 49.6

12.9 19.3 6.35 74.1 40.0 2965.5 49.59.7 19.5 7.2 68.8 52.6 3618.3 52.29.7 19.5 7.2 68.8 90.7 6245.3 62.88.6 21.9 9.4 61.0 88.4 5392.6 61.1

11.2 22.7 9.5 72.6 90.3 6552.2 62.69.8 25.5 9.3 69.2 86.5 5986.5 66.5

15.75 24.5 10.2 95.4 158.1 15075.6 77.710.4 28.6 12.45 76.6 154.4 11824.0 78.914.8 29.5 12.2 97.7 185.4 18116.6 85.814.8 29.5 12.2 97.7 244.0 23837.6 95.426 29.5 12.2 140.9 244.0 34385.7 95.4

15.8 31.5 14.2 103.3 426.0 43990.9 119.412.1 32.4 15.6 88.0 243.4 21407.2 92.718.6 34.1 14.6 118.9 213.2 25336.8 92.918.5 37.5 17.2 123.7 361.2 44665.6 112.218.5 37.5 17.2 124.3 430.0 53443.4 120.214.6 38.1 18.8 106.0 353.4 37450.5 109.422.2 44.2 20 145.7 548.0 79819.5 136.721.9 48 22 148.9 704.0 104843.2 152.728.2 59.1 19.8 184.9 392.0 72493.3 144.8

(mm2) (mm3)

2D

(E-F)1

2

radius = 1

2(A - E)

With coil former lw = 2(F+C+3.2mm)+0.5π(E-F-1.6mm)


Surface Area of assembled transformer As

2D

(E-F)1

2

radius = 1

2(A - E)

Core surface area = 4AB + 4BC + 2AC

Surface area of winding not included in core surface area =4E{0.5}(E-F)+ 4{2D(0.5)(E-F)} = 2E(E-F) + 4D(E-F) = 2(E-F)(E+2D)

As = 4AB + 4BC + 2AC + 2(E-F)(E+2D)

2B C

(E-F)1

2

Rounded corners ignored in surface area estimate

A

A

E

2D

(E-F)1

2

Calculatedw/bobbin

[mT] @ freq.

Aw Vw As Jrms Bpeak0.9 12.7 134.3 992.6 1476 10.0 325.10.6 8.9 153.6 868.1 1668 10.6 340.1

15.5 511.5 821.1 162.4 394 5.2 199.213.5 363.7 717.2 185.9 483 5.7 215.024.5 809.7 1129.0 118.1 360 4.9 192.839.0 1783.4 1715.9 77.7 259 4.2 170.639.0 1783.4 1723.9 77.3 260 4.2 170.933.0 1215.1 1645.5 81.0 346 4.8 189.940.9 1651.6 1422.0 93.8 228 3.9 162.664.7 3203.7 2354.9 56.6 237 4.0 165.160.8 2967.2 2335.0 57.1 246 4.1 167.366.4 3290.7 2737.0 48.7 219 3.9 160.3

137.3 6800.8 3497.9 38.1 185 3.5 150.795.2 4970.9 3692.6 36.1 222 3.9 161.395.2 5980.3 4371.8 30.5 185 3.5 150.685.0 5195.8 3670.1 36.3 179 3.5 148.9

120.6 7553.5 4521.0 29.5 166 3.4 144.7131.4 8741.0 4558.3 29.3 160 3.3 142.8189.9 14759.9 7208.4 18.5 125 2.9 130.3139.7 11026.8 6121.7 21.8 139 3.1 135.4219.8 18869.6 8240.9 16.2 115 2.8 126.4219.8 20979.7 9056.9 14.7 105 2.7 121.9395.6 37763.4 12634.3 10.6 91 2.5 115.6235.5 28130.2 11996.1 11.1 86 2.4 113.5171.8 15916.0 8265.0 16.1 115 2.8 126.1318.6 29600.8 11269.2 11.8 106 2.7 122.6331.0 37123.5 13969.7 9.5 88 2.4 114.6331.0 39771.4 14928.6 8.9 83 2.4 111.9244.3 26719.4 11777.7 11.3 95 2.5 117.7483.6 66104.9 19973.1 6.7 71 2.2 105.6514.8 78620.2 22897.6 5.8 65 2.1 102.0

1033.0 149564.1 27455.8 4.9 64 2.1 101.7

(mm2) (mm3) (mm2) [∞C/W] [mW/cm3] [A/mm2]

Rq Psp @ DT

2D

(E-F)1

2

radius = 1

2(A - E)


Magnetic path length lm = 4D +(E-F) + (0.5)π(A-E)

Core Area Ac = FC

Core Volume Vc = Aclm = FC(4D +(E-F) + πE)

2D

(E-F)1

2

radius = 1

2(A - E)

[watts] [#] [nH] [watts]

E_rating Npri Lleakage Pwr Loss2.4 262.08 13127.98 0.071.9 250.49 11044.69 0.08

97.4 58.46 1812.58 0.4267.8 81.06 2160.58 0.37153.6 56.01 1256.70 0.58342.8 33.83 918.87 0.89343.9 33.78 916.34 0.89249.2 45.57 965.29 0.85271.0 42.14 878.63 0.74509.9 36.12 1347.45 1.22498.2 35.36 1243.16 1.21686.4 26.46 417.55 1.42874.4 39.56 814.19 1.81933.8 28.14 548.58 1.91

1373.0 17.45 253.92 2.261162.0 18.13 305.54 1.901573.1 18.27 257.84 2.341592.8 19.31 429.33 2.363391.3 11.58 99.08 3.732665.4 11.41 167.18 3.174291.5 10.17 108.72 4.265186.7 8.02 75.06 4.698241.7 8.45 47.51 6.548189.9 4.94 33.34 6.214377.5 7.77 81.30 4.286654.3 9.13 84.91 5.839987.7 5.76 42.79 7.2311242.2 4.96 33.93 7.737678.2 5.74 49.79 6.0918259.8 4.12 26.52 10.3423043.9 3.32 20.94 11.8525538.2 5.99 75.66 14.21

Calculated Calculated

w/bobbin w/bobbin From Ferroxcube CD

lw Aw lw Aw14.456 0.88 12.6 1.514.142 0.63 12.8 1.6232.979 15.51 32 16.8

26.9305 13.505 24 11.633.05 24.5 33 21.6

45.7815 38.955 33.7 4045.7815 38.955 47.6 35.9

36.82 33 38.7 28.640.362 40.92

49.5195 64.69548.8345 60.76 53.1 47.449.588 66.36 49 56

49.5195 137.33552.199 95.23 56 8062.799 95.2361.113 85.0262.612 120.64 60 9766.522 131.4 69 10277.739 189.865

78.9435 139.68 81.2 11485.849 219.8 93 17895.449 219.8 78.5 25595.449 395.64

119.449 235.592.664 171.76 94.7 13192.903 318.62

112.159 330.99 119 278120.159 330.99109.389 244.26 114 205136.682 483.64 150 394152.708 514.84144.789 1032.98

Transfer DataPhillips

Core Rating Core # designation [mm] [mm] [mm]

Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 EC35 35.3 17.3 9.5TestEC Lleakage EC41 41.6 19.5 11.6

Err:504 EC52 52.2 24.2 13.41 Pwr Loss EC70 71.7 34.5 16.4

Err:504Jrms Bpeak

Err:504 Err:504

Acore Vc + VwErr:504 Err:504

[mm] [mm] [mm] [mm] [mm]

Dim. D Dim. E Dim. H Lm Ac Vc Lw22.8 9.5 12.3 77.4 84.3 6530 53.127.1 11.6 13.9 89.3 121 10800 62.433 13.4 15.9 105 180 18800 74.9

44.5 16.4 22.8 144 279 40100 97.3

EC Core Formulas

Winding parameters:

lw = 0.5π (D + E+1.6) ; with coil former having walls 0.8 mm thick

Aw = (D-E-1.6)(H-0.8) ; with bobbin having walls 0.8 mm thick

Exposed core surface area:Front and back = 2(A2B) - 2(2HD) = 4AB - 4DHTop and bottom = 2ACLeft and right = 2(2BC) = 4BCTotal exposed core surface area = 4AB - 4DH + 2AC + 4BC

Exposed winding surface area:Vertical surface = 2HπD - 2(2HC)Horizontal surface = 2π(0.5D)2 - 2CD

As = 4B(A+C) + 2AC - 4DH + 2H(πD - 2C) + 0.5πD2 - 2CD

[mm2] [mm3]

Magnetic parameters (mean path length lm, core area Ac, and core volume Vc) given in manufacturer's catalog.

Mean turn length lw = 2π (D/2 + E/2)/2 = 0.5π (D + E) ; No coil former

Winding window area Aw = 2H (D-E)/2 = (D-E)H ; no bobbin

Winding volume Vw = Awlw = π (D + E) H (D-E) = π (D2 - E2)

Surface area of assembled core and winding As

Ferroxcube Ferroxcubew/bobbin w/bobbin

[mT]

Aw Vw As Psp Jrms Bpeak102.5 5442.8 4327.1 30.8 187.0 3.6 151.2137.5 8580.0 5854.7 22.8 156.3 3.3 141.5212.0 15878.8 8921.0 14.9 133.1 3.0 133.3465.0 45244.5 16981.4 7.9 103.0 2.6 121.2

[mm2] [mm3] [mm2] [∞C/W] [mW/cm3] [A/mm2]

Rq

(mean path length lm, core area Ac, and core volume Vc) given in manufacturer's catalog.


EC_Rating Npri Lleakage Pwr Loss1386.0 18.71 210.37 2.242283.2 13.93 141.32 3.034553.1 9.94 95.45 4.6212378.5 7.05 62.41 8.79

Calculated Calculated Ferroxcube Ferroxcube

w/bobbin w/bobbin w/bobbin w/bobbin

Lw Aw Lw Aw53.2 134.6 53.1 102.563.3 182.1 62.4 137.575.4 271.8 74.9 212.098.1 583.0 97.3 465.0


No bobbin No bobbin

Lw Aw50.7 163.660.8 215.572.8 311.695.6 640.7



Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 EFD10 10.5 5.2 2.7TestEFD Lleakage EFD12 12.5 6.2 3.5

Err:504 EFD15 15.0 7.5 4.70 Pwr Loss EFD20 20.0 10.0 6.7

Err:504 EFD25 25.0 12.5 9.1Jrms Bpeak EFD30 30.0 15.0 9.1

Err:504 Err:504



Dim. D Dim. E Dim. F Dim. H Lm Ac Vc7.7 4.6 1.5 3.8 23.7 7.2 171.09.0 5.4 2.0 4.6 28.5 11.4 325.0

11.0 5.3 2.4 5.5 34.0 15.0 510.015.4 8.9 3.6 7.7 47.0 31.0 1460.018.7 11.4 5.2 9.3 57.0 58.0 3300.022.4 14.6 4.9 11.2 68.0 69.0 4700.0

EFD Core Formulas

Winding parameters:

lw = 2(E+F) +2π(0.25)(D - E) = 2(E+F) +0.5π(D-E) ; no coil former

lw = = 2(E+F+3.2 ) +0.5π(D-E-1.6) ; with coil former having wall thickness 0.8 mm

[mm2] [mm3]

Magnetic parameters (mean path length lm, core area Ac, and core volume Vc) given in manufacturer's catalog.

Mean turn length lw

Winding window area Aw = 2H (D-E)/2 = (D-E)H : no coil former

Aw = (D-E-1.6)(H-.8) ; with coil former having wall thickness 0.8 mm

Exposed core surface area:Front and back = 2(A2B) - 2(2HD) = 4AB - 4DHTop and bottom = 2ACLeft and right = 2(2BC) = 4BCTotal exposed core surface area = 4AB - 4DH + 2AC + 4BC

Exposed winding surface area:Vertical surface = 2πDH - 4CH

Horizontal surface = 4(D-E)E + 4F(D-E) +2EF +2π(D-E)2 - 2DC

Total surface area As = 2H(πD-2C) + 4(D-E)(E+F) + 2EF +2π(D-E)2 - 2CD

= 4(D-E)(E+F) + 2EF +2π(D-E)2 - 2CD

Winding volume Vw = Awlw

Surface area of assembled core and winding As


[mm]

Lw Aw Vw As Psp Jrms14.8 4.2 62.2 251.0 531.1 557.2 6.118.6 6.5 120.9 342.3 389.5 397.3 5.225.6 16.7 427.5 578.5 230.5 319.3 4.734.1 27.7 944.6 986.9 135.1 212.4 3.8

40 46 1840.0 1352.0 98.6 136.1 3.052.9 52.3 2766.7 1894.7 70.4 131.3 3.0

lw = 2(E+F) +2π(0.25)(D - E) = 2(E+F) +0.5π(D-E) ; no coil former

lw = = 2(E+F+3.2 ) +0.5π(D-E-1.6) ; with coil former having wall thickness 0.8 mm


Rq

(mean path length lm, core area Ac, and core volume Vc) given in manufacturer's catalog.

Aw = 2H (D-E)/2 = (D-E)H : no coil former

Aw = (D-E-1.6)(H-.8) ; with coil former having wall thickness 0.8 mm

Horizontal surface = 4(D-E)E + 4F(D-E) +2EF +2π(D-E)2 - 2DC

Total surface area As = 2H(πD-2C) + 4(D-E)(E+F) + 2EF +2π(D-E)2 - 2CD

[mT] [watts] [#] [nH] [watts]

Bpeak EFD_Rating Npri Lleakage Pwr Loss226.6 12.5 146.21 2701.37 0.13199.9 22.9 104.67 1669.10 0.18184.4 64.0 86.25 2065.81 0.30158.5 153.9 48.54 709.81 0.51134.4 324.6 30.59 307.51 0.70132.7 425.5 26.06 261.82 0.98

Calculated Calculated Ferroxcube

w/bobbin w/bobbin w/bobbin

Lw Aw Lw20.955 4.5 14.8

24.3 7.6 18.628.2 19.3 25.639.1 33.8 34.148.5 48.4 4055.1 64.5 52.9

Ferroxcube Calculated Calculated

w/bobbin No bobbin No bobbin

Aw Lw Aw4.2 17.1 11.86.5 20.5 16.6

16.7 24.3 31.427.7 35.2 50.1

46 44.7 67.952.3 51.2 87.4



Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 EP7 9.4 7.5 5.0TestEP Lleakage EP10 11.5 10.2 7.4

Err:504 EP13 12.8 13.0 9.00 Pwr Loss EP17 18.0 16.8 11.4

Err:504 EP20 24.0 21.4 14.4Jrms Bpeak

Err:504 Err:504


Core dimensions:


Dim. D Dim. E Dim. F Dim. G Lm Ac Vc6.5 7.2 3.4 1.7 15.5 10.7 165.07.6 9.4 3.3 1.8 19.3 11.3 215.09.0 9.7 4.5 2.4 24.2 19.5 472.0

11.0 12.0 5.7 3.3 29.5 33.7 999.015.0 16.5 8.8 4.5 41.1 78.7 3230.0

EP Core Formulas

Mean turn length lw = 2π(E+F)/2 = π(E + F) ; no bobbin

lw = π(E + F+1.6) ; bobbin with 0.8 mm thick wallsWinding window area Aw = C(E-F)/2 ; no bobbinAw = (C-1.6)(E-F-1.6)/2 ; bobbin with 0.8 mm thick walls

Winding volume Vw = lw Aw

Exposed core surface:

Vertical surface area = 2BD + AB + AB - EC = 2B(D+A) - ECTop and bottom surface = 2ADExposed core surface area = 2AD + 2B(A+D) - EC

Exposed winding surface = CπE/2

Total surface area = 2AD + 2B(A+D) - EC + 0.5πCE = 2AD + 2B(A+D) + 0.57CE

[mm2] [mm3]

Magnetic dimensions (lm, Ac, Vc) given on core spec sheets.Winding dimensions:

Surface area As:


[mm]

Lw Aw Vw As Psp Jrms17.7 4.3 76.1 381.2 349.8 818.2 7.521.7 11.4 247.4 604.1 220.7 676.1 6.823.0 13.5 310.5 847.0 157.4 560.1 6.228.9 18.6 537.5 1448.4 92.1 487.8 5.840.8 33.6 1370.9 2524.6 52.8 284.0 4.4

Total surface area = 2AD + 2B(A+D) - EC + 0.5πCE = 2AD + 2B(A+D) + 0.57CE


Rq


Bpeak EP_Rating Npri Lleakage Pwr Loss261.2 26.7 85.33 2050.50 0.20243.4 63.2 86.72 2815.91 0.31227.0 109.7 53.88 807.56 0.44215.7 231.6 32.81 360.00 0.75176.5 610.1 17.17 134.63 1.31



Lw Aw Lw19.2 3.7 17.722.5 13.1 21.724.8 13.3 23.030.3 23.0 28.942.2 39.0 40.8



Aw Lw Aw4.3 16.6 9.5

11.4 19.9 22.613.5 22.3 23.418.6 27.8 35.933.6 39.7 55.4



Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 ER9.5 9.5 5.0 2.5TestER Lleakage ER11 11.0 6.0 2.5

Err:504 ER14.5 14.5 6.8 3.00 Pwr Loss ER28 28.6 11.4 14.0

Err:504 ER28L 28.6 11.4 16.9Jrms Bpeak ER35 35.0 11.4 20.7

Err:504 Err:504 ER40 40.0 13.4 22.4ER42 42.0 15.6 22.4

Acore Vc + Vw ER42A 42.0 15.6 21.8Err:504 Err:504 ER48 48.0 21.0 21.2

ER54 53.5 18.0 18.3


Dim. D Dim. E Dim. F Dim. G Lm Ac Vc7.1 3.5 1.6 7.5 14.2 8.5 120.08.0 4.3 1.5 8.7 14.7 11.9 174.0

11.8 4.8 1.6 11.8 19.0 17.6 333.021.8 9.9 9.8 21.8 64.0 81.4 5260.021.8 9.9 12.7 21.8 75.5 81.4 6140.026.2 11.3 14.8 26.2 90.8 107.0 9710.029.6 13.3 15.5 29.6 98.0 149.0 14600.030.1 15.5 15.5 30.1 98.8 194.0 19200.030.4 15.0 15.6 30.4 99.0 170.0 16800.038.0 18.0 14.7 38.0 100.0 255.0 25500.040.7 17.9 11.1 40.7 91.8 250.0 23000.0

ER Core Formulas

lw = π(G+E+1.6) ; bobbin with 0.8 mm thick walls

Aw = (F-0.8)(G-E-1.6) ; bobbin with 0.8 mm thick walls

Surface area As:Exposed core surface: front and back = 2(2CA) - 2(2FD) = 4AC-4DFLeft and right = 2(2CB) = 4BCtop and bottom = 2ABTotal exposed core surface = 4AC -4DF+4BC+2AB = 4C(A+B)+2AB-4DF

Winding surface:Vertical surface = πG2F - 2(2FB) = 2πFG - 4BF

[mm2] [mm3]

Magnetic dimensions (mean path length lm, core area Ac, and core volume Vc) given on core specification sheets.

Winding dimensions:

Mean turn length lw = 2π (G+E)/2 = π(G+E) ; no bobbin

Winding area Aw = 2F(G-E)/2 = F(G-E) ; no bobbin

Winding Volume Vw = lwAw = πF(G2 - E2)

Horizontal surface = 2π(G/2)2 - 2BGTotal winding surface = 2πFG-4BF + 0.5πG2 -2BG = πG(2F-0.5G) - 2B(2F+G)

As = 4C(A+B)+2AB-4DF + πG(2F-0.5G) - 2B(2F+G)

Calculated Calculated Calculatedw/bobbin w/bobbin w/bobbin

[mm]

Lw Aw Vw As Psp Jrms19.8 1.9 38.0 71.7 1859.6 234.9 4.022.9 2.0 44.9 76.7 1738.3 181.3 3.528.6 4.3 123.4 73.2 1821.8 83.0 2.452.3 92.7 4846.4 1689.4 78.9 86.5 2.452.3 122.6 6408.1 2165.5 61.6 89.3 2.561.4 186.2 11430.3 3174.7 42.0 77.7 2.369.9 216.1 15097.1 3903.8 34.2 68.0 2.174.1 191.1 14161.3 4207.1 31.7 65.3 2.173.8 204.2 15070.9 4042.3 33.0 65.6 2.190.4 255.8 23128.9 4043.6 33.0 43.0 1.794.5 218.4 20638.1 3324.9 40.1 39.4 1.6

Exposed core surface: front and back = 2(2CA) - 2(2FD) = 4AC-4DF

Total exposed core surface = 4AC -4DF+4BC+2AB = 4C(A+B)+2AB-4DF


Rq

(mean path length lm, core area Ac, and core volume Vc) given on core specification sheets.

Total winding surface = 2πFG-4BF + 0.5πG2 -2BG = πG(2F-0.5G) - 2B(2F+G)


Bpeak ER_Rating Npri Lleakage Pwr Loss164.5 3.2 170.54 15055.51 0.04149.5 3.6 134.07 12650.59 0.04111.9 6.0 121.09 19184.72 0.04113.7 618.7 25.78 441.63 0.87115.0 841.1 25.48 332.83 1.12109.2 1488.0 20.41 269.37 1.64104.0 2141.6 15.40 182.26 2.02102.4 2378.4 12.01 105.33 2.18102.6 2238.7 13.67 142.55 2.0987.8 2911.9 10.66 146.30 2.0985.0 2258.8 11.23 256.23 1.72



Lw Aw Lw19.8 1.9 18.422.9 2.0 21.628.6 4.3 27.052.3 92.752.3 122.661.4 186.269.9 216.174.1 191.173.8 204.290.4 255.894.5 218.4



Aw Lw Aw2.8 17.3 6.42.8 20.4 6.65.1 26.1 11.2

49.8 116.649.8 151.158.9 220.567.4 252.771.6 226.371.3 240.287.9 294.092.0 253.1



Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 ETD29 30.6 15.8 9.8TestETD Lleakage ETD34 35 17.3 11.1

Err:504 ETD39 40 19.8 12.81 Pwr Loss ETD44 45 22.3 15.2

Err:504 ETD49 49.8 24.7 16.7Jrms Bpeak ETD54 54.5 27.6 18.9

Err:504 Err:504 ETD59 59.8 31 21.65


ETD Core Formulas

lw = 0.5π(E+F+1.6) ; bobbin with 0.8 mm thick walls

Aw = (D-0.8)(E-F-1.6) ; bobbin with 0.8 mm thick walls

Exposed core surface:left and right = C4B : top and bottom 2CA : front and back 2(2AB-2DE)Summing 4BC + 2AC+4AB-4DE

Exposed winding surface:Vertical cylindrical surface = 2D*2πE/2 - 2(2DC) = 2πDE - 4CDHorizontal circuilar surfaces = 2π(0.25E2) - 2CE = 0.5π(E2) - 2CE

Summing exposed core and winding area:As = 4BC+2AC+4AB-4DE+2πDE-4CD+0.5π(E2)-2CE

Mean turn length lw =2π (E+F)/4 = 0.5π(E+F) ; no bobbin

Winding window area Aw = 2D = D(E-F) ; no bobbin

Winding volume Vw = {0.25 πE2 - 0.25πF2]2D = 0.5πD(E2 - F2)

Surface Area As

Ferroxcubew/bobbin


Dim. D Dim. E Dim. F Lm Ac Vc Lw11 22 9.8 72 76 5470 52.0

11.8 25.6 11.1 78.6 97.1 7640 60.014.2 29.3 12.8 92.2 125 11500 69.016.1 32.5 15.2 103 173 17800 77.017.7 36.1 16.7 114 211 24000 85.020.2 41.2 18.9 127 280 35500 96.022.5 44.7 21.65 139 368 51500 106.0

Dimensions

[mm2] [mm3]


[mT]

Aw Vw As Psp Jrms Bpeak95.0 4940.0 3343 39.9 166.2 3.4 144.8

123.0 7380.0 4281 31.1 147.5 3.2 138.5177.0 12213.0 5623 23.7 122.7 2.9 129.4214.0 16478.0 7171 18.6 108.3 2.7 123.5273.0 23205.0 8783 15.2 96.3 2.6 118.3316.0 30336.0 10941 12.2 86.0 2.4 113.4366.0 38796.0 13419 9.9 76.9 2.3 108.8


Rq


ETD_Rating Npri Lleakage Pwr Loss1045.0 21.68 283.75 1.731558.1 17.74 242.76 2.222459.3 14.75 182.55 2.913690.0 11.16 107.92 3.715184.6 9.56 89.09 4.557217.7 7.51 62.58 5.669968.7 5.96 40.32 6.94

Calculated Calculated Ferroxcube Ferroxcube

w/bobbin w/bobbin w/bobbin w/bobbin

Lw Aw Lw Aw52.4 108.1 52.0 95.060.1 141.9 60.0 123.068.6 199.7 69.0 177.077.4 240.2 77.0 214.085.4 300.8 85.0 273.096.9 401.6 96.0 316.0

106.7 465.5 106.0 366.0


No bobbin No bobbin

Lw Aw49.9 134.257.6 171.166.1 234.374.9 278.582.9 343.494.4 450.5

104.2 518.6

Transfer DataSeimens

Core Rating Core # Designation [mm] [mm] [mm]

Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 PM 50/39 49.2 38.8 23.4TestPM Lleakage PM 62/49 62.0 49.0 -

Err:504 PM 74/59 74.0 59.0 -1 Pwr Loss PM 87/70 87.0 70.0 -

Err:504 PM 114/93 114 93 -Jrms Bpeak

Err:504 Err:504


PM Core Forumlas

Effective magnetic length lm, core area Ac, and core volume Vm given in core specification sheet.

Mean winding length lw = 2π(g +h)/2 = π(g + h) ; no bobbinlw = = π(g + h + 1.6) ; bobbin with 0.8 thick walls

Winding window area Aw = d(h - g)/2 ; no bobbinAw = (d - 1.6)(h - g -1.6)/2 ; bobbin with 0.8 mm thick walls

Winding volume = Vw = lwAw = π(h^2 - g^2)/2

Surface area As ≈ 2π (a/2)^2 + 2π(a/2)h = πa^2/2 + πah

[mm] [mm] [mm] [mm] [mm] [mm] [mm]

Dim. D Dim. E Dim. F Dim. G Dim. H Dim. I Dim. J26.8 4.8 1.4 19.7 39.7 5.4 37.633.4 - - 25.5 48.8 5.4 -40.7 - - 29.5 57.5 5.4 -48.0 - - 31.7 67.1 8.5 -63 - - 43 88 5.4 -

Effective magnetic length lm, core area Ac, and core volume Vm given in core specification sheet.

Mean winding length lw = 2π(g +h)/2 = π(g + h) ; no bobbinlw = = π(g + h + 1.6) ; bobbin with 0.8 thick walls

Winding window area Aw = d(h - g)/2 ; no bobbinAw = (d - 1.6)(h - g -1.6)/2 ; bobbin with 0.8 mm thick walls

Winding volume = Vw = lwAw = π(h^2 - g^2)/2

Surface area As ≈ 2π (a/2)^2 + 2π(a/2)h = πa^2/2 + πah

Calculated Calculated Calculatedw/bobbin w/bobbin w/bobbin

[mm] [mm]

Lm Ac Vc Lw Aw Vw As84 370 31000 191.5 231.8 44406.6 13734.0109 570 62000 238.3 345.0 82229.6 21570.5128 790 101000 278.2 516.1 143586.6 30555.3146 910 133000 315.3 784.2 247211.1 42097.0200 1720 344000 416.4 1332.4 554755.1 72307.9

[mm2] [mm3] [mm2] [mm3] [mm2]

[mT] [watts] [#] [nH]

Psp Jrms Bpeak PM_Rating Npri Lleakage9.7 94.3 2.5 117.3 7578.3 5.49 90.336.2 77.4 2.3 109.1 14636.1 3.84 51.234.4 64.6 2.1 102.0 25944.8 2.96 35.083.2 57.3 2.0 97.6 40877.7 2.69 35.121.8 41.6 1.7 86.7 99424.2 1.60 15.93

[∞C/W] [mW/cm3] [A/cm2]

Rq

[watts]

Power Loss7.1111.1615.8121.7937.42

Calculated Calculated Ferroxcube Ferroxcube Calculated Calculated

w/bobbin w/bobbin w/bobbin w/bobbin No bobbin No bobbin

Lw Aw Lw Aw Lw Aw191.5 231.8 186.5 268.0238.3 345.0 233.3 389.1278.2 516.1 273.2 569.8315.3 784.2 310.2 849.6416.4 1332.4 411.3 1417.5



Err:504 Err:504 Core # Dim. A Dim. B Dim. D1Criteria Err:504 P7/4 5.5 1.6 7.4

TestP Lleakage P9/5 6.5 2.0 9.3Err:504 P11/7 6.8 2.2 11.3

0 Pwr Loss P14/8 9.5 2.7 14.3Err:504 P18/11 13.4 3.8 18.4

Jrms Bpeak P22/13 15.0 3.8 22.0Err:504 Err:504 P26/16 18.0 3.8 25.5

P30/19 20.5 4.3 30.0Acore Vc + Vw P36/22 26.2 4.9 36.2Err:504 Err:504 P42/29 32.0 5.1 42.2

P66/56 7.0 66.3

A

A'

d1

d2

d3

a

b

h12

h22

d4

[mm] [mm] [mm] [mm] [mm] [mm]

Dim. D2 Dim. D3 Dim. D4 Dim. H1 Dim. H2 Lm Ac5.8 3.0 1.4 4.2 2.8 10.0 7.07.5 3.9 2.1 5.4 3.6 12.5 10.19.0 4.7 2.2 6.5 4.4 15.5 16.2

11.6 6.0 3.1 8.4 5.6 19.8 25.114.9 7.6 3.1 10.6 7.2 25.8 43.317.9 9.4 4.4 13.4 9.2 31.5 63.421.2 11.5 5.4 16.0 11.0 37.6 93.925.0 13.5 5.4 18.8 13.0 45.2 137.029.9 16.2 5.4 21.7 14.6 53.2 202.035.6 17.7 5.4 29.4 20.3 68.6 265.053.5 28.8 6.4 55.8 42.0 123.0 717.0

Potcore Formulas

Effective lm, Ac, Vc given on core spec sheet.

Mean winding length lw = 0.5π(d2 + d3) ; without coil former

lw = 0.5π(d2 + d3 + 1.6) ; with coil former having walls 0.8 mm thickWinding window area Aw = 0.5 h2 (d2 - d3); without coil former

Aw = 0.5 (h2 - 1.6)(d2 - d3 - 1.6); with coil former having walls 0.8 mm thick

Winding volume = Awlw

Surface area = 2π (d1/2)2 + h1πd1 = 0.5(d1)2 + πh1d1

[mm2]

A

A'

d1

d2

d3

a

b

h12

h22

d4


[mm]

Vc Lw Aw Vw As Psp70.0 14.6 2.2 31.4 125.0 1066.9 637.9126.0 18.8 3.4 64.1 200.9 663.6 547.0251.0 22.7 4.8 108.3 294.5 452.8 424.2495.0 29.0 8.7 250.9 479.4 278.1 332.6

1120.0 36.7 18.1 664.3 781.7 170.6 226.72000.0 44.7 27.1 1211.4 1167.7 114.2 188.23530.0 52.7 39.3 2071.1 1606.2 83.0 148.46190.0 66.0 58.1 3834.6 2221.0 60.0 114.710700.0 74.3 72.4 5379.3 3121.8 42.7 100.518200.0 86.0 140.0 12040.0 4786.2 27.9 81.988300.0 130.0 400.0 52000.0 13814.4 9.7 51.0

lw = 0.5π(d2 + d3 + 1.6) ; with coil former having walls 0.8 mm thick

Aw = 0.5 (h2 - 1.6)(d2 - d3 - 1.6); with coil former having walls 0.8 mm thick

[mm3] [mm2] [mm3] [mm2] [∞C/W] [mW/cm3]

Rq


Jrms Bpeak P_rating Npri Lleakage Power Loss6.6 238.2 7.0 143.04 6253.24 0.066.1 225.0 14.1 104.94 4334.25 0.105.4 204.8 25.3 71.89 2400.02 0.154.8 187.2 57.5 50.77 1564.74 0.253.9 162.4 148.6 33.92 896.18 0.403.6 151.6 277.1 24.82 532.64 0.603.2 138.8 484.0 18.30 325.76 0.832.8 126.2 833.9 13.80 232.76 1.152.6 120.1 1365.9 9.83 140.99 1.622.4 111.4 2900.5 8.08 103.66 2.481.9 93.4 14834.5 3.56 20.29 7.15

[A/cm2]


w/bobbin w/bobbin

Lw Aw16.3 0.720.4 2.024.0 3.830.1 8.037.8 16.045.4 26.253.9 38.163.0 56.474.9 78.686.2 152.4

131.7 466.6

Ferroxcube Ferroxcube Calculated Calculated

w/bobbin w/bobbin No bobbin No bobbin

Lw Aw Lw Aw14.6 2.2 13.8 3.918.8 3.4 17.9 6.522.7 4.8 21.5 9.529.0 8.7 27.6 15.736.7 18.1 35.3 26.344.7 27.1 42.9 39.152.7 39.3 51.3 53.366.0 58.1 60.4 74.874.3 72.4 72.4 100.086.0 140.0 83.7 181.7

130.0 400.0 129.2 518.7



Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 PQ20/16 21.3 16.2 10.3TestPQ Lleakage PQ20/20 21.3 20.2 14.3

Err:504 PQ26/20 27.3 20.2 11.50 Pwr Loss PQ26/25 27.3 24.7 16.1

Err:504 PQ32/20 33.0 20.6 11.5Jrms Bpeak PQ32/30 33.0 30.3 21.3

Err:504 Err:504 PQ35/35 36.1 34.7 25.0


Core Dimensions:


Dim. D Dim. E Dim. F Dim. G Dim. H Lm Ac18.0 8.8 14.0 4.0 12.0 37.6 61.918.0 8.8 14.0 4.0 12.0 45.7 62.622.5 12.0 19.0 6.0 15.5 45.0 121.022.5 12.0 19.0 6.0 15.5 54.3 120.027.5 13.5 22.0 5.5 19.0 55.9 169.027.5 13.5 22.0 5.5 19.0 74.7 167.032.0 14.4 26.0 6.0 23.5 86.1 190.0

PQ Core Formulas

Magnetic parameters (lm, Ac,Vc) given on core specificaitons sheets.

Mean turn length lw = 0.5π(D+E) ; no coil formerlw = 0.5π(D+E +1.6) ; with coil former with walls 0.8 mm thick

Winding window area Aw = 0.5C(D-E) ; no coil formerarea Aw = 0.5[C - 1.6](D-E-1.6) ) ; with coil former with walls 0.8 mm thick

Windng volume Vw = lwAw

Exposed core area:Top and bottom = 2AF ; cutouts ignored.Left and right vertical = 2BFFront and back vertical = 2AB-2CDTotal exposed core surface = 2AF+2BF +2AB-2CD

Exposed winding area:Vertical surface = 2πCD/2 -2CF = πCD - 2CF = C(πD - 2F)Top and bottom = 2π(D/2)2 - 2FDTotal winding surface = πCD - 2CF + 0.5πD2 -2FD

Total surface area As = 2AF + 2BF + 2AB -2CD + + πCD - 2CF + 0.5πD2 - 2DF

[mm2]

Winding dimensions:

Surface Area As:


[mm]

Vc Lw Aw Vw As Psp2330.0 44 23.5 1034.0 1667.8 79.9 256.62850.0 44 36 1584.0 1920.2 69.4 224.15820.0 56.4 31 1748.4 2705.7 49.3 185.06530.0 56.4 47.5 2679.0 3065.6 43.5 172.39440.0 66.7 44.8 2988.2 3549.8 37.6 147.812500.0 66.7 53 3535.1 4492.9 29.7 145.016300.0 75.4 187.2 14107.4 5742.6 23.2 97.7

Magnetic parameters (lm, Ac,Vc) given on core specificaitons sheets.

lw = 0.5π(D+E +1.6) ; with coil former with walls 0.8 mm thick

area Aw = 0.5[C - 1.6](D-E-1.6) ) ; with coil former with walls 0.8 mm thick

Vertical surface = 2πCD/2 -2CF = πCD - 2CF = C(πD - 2F)

Total surface area As = 2AF + 2BF + 2AB -2CD + + πCD - 2CF + 0.5πD2 - 2DF

[mm3] [mm2] [mm3] [mm2] [∞C/W] [mW/cm3]

Rq


Jrms Bpeak PQ_rating Npri Lleakage Power Loss4.2 170.0 307.2 22.67 422.63 0.863.9 161.7 423.1 23.56 329.00 0.993.5 150.6 596.0 13.09 184.64 1.403.4 146.7 851.2 13.55 141.37 1.593.2 138.6 989.5 10.18 176.24 1.843.1 137.6 1137.6 10.38 98.85 2.332.6 118.9 3243.0 10.56 123.77 2.97

[A/mm2]


w/bobbin w/bobbin

Lw Aw44.6 33.144.6 48.356.7 44.156.7 64.566.9 61.466.9 122.175.4 187.2


w/bobbin w/bobbin No bobbin No bobbin

Lw Aw Lw Aw44 23.5 42.1 47.444 36 42.1 65.8

56.4 31 54.2 60.456.4 47.5 54.2 84.566.7 44.8 64.4 80.566.7 53 64.4 149.1

72.8 220.0



Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 RM4/I 9.8 11 4.4TestRMI Lleakage RM5/I 12.3 14.9 6.8

Err:504 RM6S/I 14.7 17.9 8.20 Pwr Loss RM7/I 17.2 20.3 7.25

Err:504 RM8/I 19.7 23.2 11Jrms Bpeak RM10/I 24.7 28.5 13.5

Err:504 Err:504 RM12/I 29.8 37.4 16.1RM14/I 34.7 42.2 19


Dimensions:

Vertical core surfaces:

top view

a

b e

h12

d3

a2

c

c

2

a

1.414

1.414a - b

0.5[a-d ]20.707b-0.5a

h22


Dim. D2 Dim. D3 Dim. E Dim. H1 Dim. H2 Lm Ac7.95 3.9 5.8 10.4 7 23.3 13.810.2 4.9 6 10.4 6.3 23.2 24.812.4 6.4 8.8 12.4 8 29.2 3714.75 7.25 9.3 13.4 8.4 30 44.1

17 8.55 9.5 16.4 10.8 38.4 6321.2 10.9 10.9 18.6 12.4 44.6 96.625 12.8 12.9 25.5 16.8 56.6 14629 15 17 30.1 20.8 70 198

RM/I Core Formulas

Mean magnetic path length lm given in core spec sheet.Core area Ac given in core spec sheet.Core volume Vm given in core spec sheet.

Mean turn length lw = 2π(d2+d3)/4 = 1.57(d2+d3) no coil formerlw = 2π(d2+d3 +1.6)/4 = 1.57(d2+d3 + 1.6) with coil former

Winding window area Aw = 0.5(d2-d3)h2 no coil formerAw = (0.5d2 - 0.5d3 -0.8)(h2 - 1.6) with coil formerWinding volume Vw = lwAw

[mm2]

Core parameters:

Winding parameters: Coil former assumed to have 0.8mm thick walls

Core area - top and bottom surfaces : 2{ a^2 - shaded areas}

shaded areas (top only) = 2{[a/2]^2- c^2/4} + 2{[a/2]^2 - {0.7a-0.5b}^2}= a^2/2 - c^2/2 + a^2/2 -0.5[2a^2 - 2.83ab + b^2] = 1.414ab -0.5b^2 - 0.5c^2=1.5a^2+0.5b^2-0.5c^2-ab/1.414total top and bottom surfaces = total top and bottom surfaces = 2[1.414ab -0.5b^2 - 0.5c^2]= 2.83ab - b^2 - c^2

side viewvertical surface area = 4(.707b-.5a)h1+ 2(1.414a-b)h1 +4(0.5(a-d2)h2 +4e (h1 - h2)= 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2)

Exposed core surface area = 2.83ab - b2 - c2 + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2)

Exposed winding surface area:

vertical exposed winding surface = 0.5πd2h2

top and bottom exposed surfaces =2[ 0.5π[d2/2]^2 - 0.5c^2] = 0.25π[d2]^2 - c^2Total exposed winding surface = 1.57d2h2 + 0.79[d2]^2 - c^2

As = 2.83ab - b^2 - c^2 + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2) + 1.57d2h2 + 0.79[d2]^2 - c^2As = 2.83ab - b^2 - 2c^2 + + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2) + 1.57d2h2 + 0.79[d2]^2

a

b e

h12

d3

a2

c

c

2

a

1.414

1.414a - b

0.5[a-d ]20.707b-0.5a

h22

Ferroxcube Ferroxcubebobbin bobbin

[mm]

Vc Lw Aw Vw As Psp322 19.8 8.4 166.3 552.9 241.2 585.9574 24.9 9.8 244.0 735.2 181.3 465.1

1090 30.8 15 462.0 1074.0 124.1 358.11325 35 21 735.0 1460.3 91.3 366.82440 42 31 1302.0 1848.8 72.1 255.74310 52.3 42.7 2233.2 2702.4 49.3 213.78340 61 75 4575.0 4295.3 31.0 172.113900 71 111 7881.0 5845.6 22.8 138.9

Mean turn length lw = 2π(d2+d3)/4 = 1.57(d2+d3) no coil former

[mm3] [mm2] [mm3] [mm2] [∞C/W] [mW/cm3]

Rq

: Coil former assumed to have 0.8mm thick walls

shaded areas (top only) = 2{[a/2]^2- c^2/4} + 2{[a/2]^2 - {0.7a-0.5b}^2}= a^2/2 - c^2/2 + a^2/2 -0.5[2a^2 - 2.83ab + b^2] = 1.414ab -0.5b^2 - 0.5c^2

total top and bottom surfaces = total top and bottom surfaces = 2[1.414ab -0.5b^2 - 0.5c^2]

vertical surface area = 4(.707b-.5a)h1+ 2(1.414a-b)h1 +4(0.5(a-d2)h2 +4e (h1 - h2)

Exposed core surface area = 2.83ab - b2 - c2 + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2)

vertical exposed winding surface = 0.5πd2h2

top and bottom exposed surfaces =2[ 0.5π[d2/2]^2 - 0.5c^2] = 0.25π[d2]^2 - c^2Total exposed winding surface = 1.57d2h2 + 0.79[d2]^2 - c^2

As = 2.83ab - b^2 - c^2 + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2) + 1.57d2h2 + 0.79[d2]^2 - c^2As = 2.83ab - b^2 - 2c^2 + + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2) + 1.57d2h2 + 0.79[d2]^2

side view


Jrms Bpeak RMI_rating Npri Lleakage Power Loss6.3 230.9 50.2 74.88 1344.43 0.295.6 211.9 86.2 45.38 903.18 0.384.9 192.4 156.7 33.51 543.09 0.565.0 194.1 267.0 27.87 508.02 0.764.2 169.8 411.2 22.30 342.01 0.963.8 158.9 743.1 15.54 219.61 1.403.4 146.7 1633.8 11.14 115.09 2.223.1 135.5 2720.9 8.89 79.13 3.03

[A/mm2]


[nH] [#] Bobbin Bobbin

Lleakage Npri Lw Aw1344.4 74.88 21.1 6.6903.2 45.38 26.2 8.7543.1 33.51 32.0 14.1508.0 27.87 37.1 20.1342.0 22.30 42.6 31.5219.6 15.54 52.9 47.0115.1 11.14 61.9 80.679.1 8.89 71.6 119.0


bobbin bobbin no Bobbin No bobbin

Lw Aw Lw Aw19.8 8.4 18.6 14.224.9 9.8 23.7 16.730.8 15 29.5 24.0

35 21 34.5 31.542 31 40.1 45.6

52.3 42.7 50.4 63.961 75 59.3 102.571 111 69.1 145.6

Transfer Data

Core Rating Core # Phillips designation [mm] [mm] [mm]

Err:504 Err:504 Core # Dim. A Dim. B Dim. CCriteria Err:504 U/10/8/3 10 8.2 2.9

TestU Lleakage U/15/11/6 15.4 11.45 6.25Err:504 U20/16/7 20.8 15.6 7.5

0 Pwr Loss U25/16/6 25.4 15.9 6.4Err:504 U25/20/13 24.8 19.6 12.7

Jrms Bpeak U/30/25/16 31.3 25.3 16Err:504 Err:504 U/33/22/9 33.3 22.2 9.4

U/67/27/14 67.3 27 14.3Acore Vc + Vw U/93/76/16 93 76 16Err:504 Err:504 U/93/52/30 93 52 30

U/93/76/30 93 76 30U/100/48/25 101.6 47.5 25.4U/100/57/25 101.6 57.1 25.4

U core dimensions

Mean core lengthA

B

C

D

E

E2D

A-E

4

B-D2

radius ≈A-E

4+

B-D2

1

2

Two section winding

lw = 2(C+2mm) + 2{0.5(A-E) +2mm} + 2π{0.25(E-3mm)} = 2C +(A-E) + 8mm + 0.5π(E-3mm)

E2D

A-E

4

B-D2

radius ≈A-E

4+

B-D2

1

2

1 mm

1 mm

E

Coil former wall thickness

(A-E)2 C

radius = 4

(E-3mm)

Exposed core surface bottom and top = 2BC + 2(B-D)C = 4BC - 2DCExposed core surface left and right = 2ACExposed co= 4AB –4DE-2D(A-E)/2*2 = 4AB –4DE –2AD + 2DE = 4AB – 2DE – 2AD

Summing three terms togetherAs,c = 4BC –2DC+2AC+4AB-2DE-2AD = 4AB+2AC-2AD-2DE+4BC-2CD

Top and bottom = (2)(4)(0.25π)(E)^2 + (4)(0.5)(A-E)E + 2CE = E^2(6.3-2) + 2AE + 2CE = 2.3E^2 + 2AE +2CE

Vertical surface = 2πE(2D) +2(2D)(0.5)(A-E) + C(2D) = 4πDE + 2AD-2DE+2CD

As,w = 2.3E^2 +2AE+2CE+ 10.6DE +2AD +2CDAs = As,c + As,w = 4AB+2AC-2AD-2DE+4BC-2CD+ 2.3E2 +2AE+2CE+ 10.6DE +2AD +2CD

As = 4AB + 2AC + 8.6DE + 4BC +2.3E2 + 2AE + 2CE

Surface area As - single section winding

Exposed surface area

Exposed surface area of winding

calculated calculatedw/bobbin w/bobbin

[mm] [mm] [mm] [mm3] [mm]

Dim. D Dim. E Lm Ac Vc Lw Aw5 4.35 38.4 8.4 323.0 30.0 26.8

6.4 5.4 52 32.3 1680.0 44.3 47.58.3 6.4 68 56.0 3800.0 54.4 78.89.5 12.7 83.6 40.3 3380.0 70.2 198.9

11.4 8.4 88.2 104.0 9180.0 73.0 153.914.9 10.5 111 161.0 17900.0 90.6 264.112.7 14.3 110 86.5 9490.0 87.6 311.212.7 38.8 173 204.0 35200.0 183.8 884.548 36.2 354 448.0 159000.0 207.3 3308.824 36.2 258 840.0 217000.0 235.3 1619.248 36.2 354 840.0 297000.0 235.3 3308.8

22.1 50.8 270 645.0 174000.0 266.0 2101.631.7 50.8 308 645.0 199000.0 266.0 3057.7

[mm2] [mm2]

Mean core length lc = 4D + 2E + 2π{(A-E)/8 + (B-D)/4} = 4D + 2E + 0.25π[(A-E) +2(B-D)]

Core Area Ac = 0.5C(A-E)

E2D

A-E

4

B-D2

radius ≈A-E

4+

B-D2

1

2

Single section winding

lw = 2(C+2mm) + 2{0.5(A-E) +2mm} + 2π{0.25(E-3mm)} = 2C +(A-E) + 8mm + 0.5π(E-3mm)

With coil former:lw = 2π [(E-1mm)/2] + 2 {0.5(A-E) + 2mm} + 2(C+2mm) = π(E-1mm) + (A-E) +2C + 8mmWithout coil former: lw = πE +A-E+2C

With coil former: Without coil former:Single section Aw = (E-1mm)(2D-2mm) Aw = 2DETwo section Aw =(2D-2mm)(E-3mm)

Core Volume Vc = 2BAC- 2DEC ≈ lc Ac

Mean turn length lw

Winding Area Aw

Winding volume Vw ≈ lwAw

E2D

A-E

4

B-D2

radius ≈A-E

4+

B-D2

1

2

1 mm

1 mm

E


(A-E)2 C

radius = 4

(E-3mm) 1 mm

E


(A-E)2

C

1 mm

radius = (E-1mm)

1 mm1 mm

radius = 0.5(E-1mm)

2B

2D

Exposed core surface bottom and top = 2BC + 2(B-D)C = 4BC - 2DCExposed core surface left and right = 2AC

= 4AB –4DE-2D(A-E)/2*2 = 4AB –4DE –2AD + 2DE = 4AB – 2DE – 2AD

Summing three terms togetherAs,c = 4BC –2DC+2AC+4AB-2DE-2AD = 4AB+2AC-2AD-2DE+4BC-2CD

Top and bottom = (2)(4)(0.25π)(E)^2 + (4)(0.5)(A-E)E + 2CE = E^2(6.3-2) + 2AE + 2CE = 2.3E^2 + 2AE +2CE

Vertical surface = 2πE(2D) +2(2D)(0.5)(A-E) + C(2D) = 4πDE + 2AD-2DE+2CD= 10.6DE + 2AD +2CD

As,w = 2.3E^2 +2AE+2CE+ 10.6DE +2AD +2CDAs = As,c + As,w = 4AB+2AC-2AD-2DE+4BC-2CD+ 2.3E2 +2AE+2CE+ 10.6DE +2AD +2CD

As = 4AB + 2AC + 8.6DE + 4BC +2.3E2 + 2AE + 2CE

Surface area As - single section winding

Exposed surface area of core As,c

Exposed surface area of winding As,w

[mm3] [mT] [watts]

Vw As Psp Jrms Bpeak U_rating803.2 824 161.8 379 5.1 196.4 66.7

2105.9 1782 74.8 244 4.1 166.8 309.94285.4 2991 44.6 191 3.6 152.6 722.713970.3 4564 29.2 136 3.0 134.4 975.111241.7 5186 25.7 131 3.0 132.7 1888.623935.4 8381 15.9 104 2.7 121.5 4081.027251.0 7671 17.4 108 2.7 123.4 2678.5

162567.7 24770 5.4 65 2.1 102.1 11507.5686006.9 61961 2.2 38 1.6 83.8 59322.6381043.1 50555 2.6 44 1.7 88.3 61605.1778653.3 69835 1.9 34 1.5 80.1 100049.2558956.1 57785 2.3 41 1.7 86.0 57779.2813267.9 66856 2.0 34 1.5 80.6 72061.3

[mm2] [∞C/W] [mW/cm3] [A/mm2]

Rq

lc = 4D + 2E + 2π{(A-E)/8 + (B-D)/4} = 4D + 2E + 0.25π[(A-E) +2(B-D)]

lw = 2π [(E-1mm)/2] + 2 {0.5(A-E) + 2mm} + 2(C+2mm) = π(E-1mm) + (A-E) +2C + 8mm

Without coil former:

1 mm

E


(A-E)2

C

1 mm

radius = (E-1mm)

1 mm1 mm

radius = 0.5(E-1mm)

2B

2D

[#] [nH] [watts]

Npri Lleakage Power Loss144.60 11412.57 0.4344.28 1534.52 0.9227.92 684.05 1.5544.02 3809.53 2.3617.28 336.52 2.6812.19 198.64 4.3422.34 1030.27 3.9711.45 1540.39 12.826.36 132.23 32.063.22 76.85 26.163.55 46.72 36.144.30 236.40 29.904.59 187.90 34.60

coil former coil former Ferroxcube Ferrooxcube

calculated calculated bobbin bobbin No bobbin

lw Aw Lw Aw Lw30.0 26.8 29 27.4 25.144.3 47.5 48.7 37.3 39.554.4 78.8 49.570.2 198.9 65.473.0 153.9 68.290.6 264.1 85.887.6 311.2 82.7

183.8 884.5 178.9207.3 3308.8 202.5235.3 1619.2 230.5235.3 3308.8 230.5266.0 2101.6 261.1266.0 3057.7 261.1

No bobbin

Aw43.569.1106.2241.3191.5312.9363.2985.5

3475.21737.63475.22245.43220.7

transformer design

Documents

6de 2ad 2cd

core spec

core volume

22 ah

exposed core

core volume

turn length

path length