Transformer Design

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Design Inputs kcu 0.67

Ta (ºC) 24

Ts (ºC) 93

Freq. [kHz] 101

67

Material 3C94

Vpri,rms 107

Ipri,rms 10.0 100

3C94

Design Core Type E-core EC-core EFD-core EP-core ER-core ETD-core PM-core Potcore PQ-core RM-I core U-core

Core # Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504

V-A Rating

Jrms

Bac

[watts]

[A/mm2]

[mT]

Npri [#]

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

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

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

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

Notes

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

core in that row cannot meet the input specific

Throughput

Isec,rms 9.73

Power 2140

δ [cm] 0.02

Nsec

Acu,pri

Acu,sec

Skin, Prox. Effects?

[#]

[mm2]

[mm2]

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

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

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

Vsec,rms 110

Outputs

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

Vc+Vw [cm3] Err:504

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

[nH] Lleakage Err:504

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

Efficiency [%] Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504 Err:504

ntry of #N/A indicates that the meet the input specifications.

MANUFACT. SUGGESTED MIN FREQ. MAX. FREQ.

10 10 20

100 100 200

20

1000

500 3000

3000 10000

C(T) 0.9 0.92 0.93 0.96 0.99 0.92 0.92 1.02 1 0.9 1.03 0.88 1.08 1.21 0.98 0.9 1.01 1.07 1.08 0.98 1.01 0.95 0.94

MATERIAL SIEMENS N27 N41 N49 N53 N59 N61 N62 N63 N67 N72 N87 PHILLIPS 3B8 3C15 3C30 3C80 3C81 3C85 3C90 3C94 3F3 3F35 3F4 4F1

21

Kc

a

b

0 1.89E-04 0 1.6E-06 2.54E-06 1.22E-05 1.95E-06 3.0E-06 0 1.07E-06 2.33E-06

1 1 1 1 1 1 1 1 1 1 1

2.45 2.14 2.98 2.860 2.9511 2.585 2.713 2.714 2.756 2.865 2.76

8.76E-07 1.08E-07 3.63E-07 9.43E-06 1.08E-06 4.54E-07 5.35E-07 1.51E-07 1.46E-06 1.31E-08 2.35E-07 1.68E-05

1.6 1.7 1.5 1.42 1.56 1.6 1.5 1.6 1.3 1.5 1.35 1.35

2.5 2.8 2.7 2.2 2.55 2.6 2.6 2.7 2.5 3.45 3.09 2.25

Transfer Data 0

1.6

2.7

Transfer

Data

Core Rating

Core #

Err:504

Err:504

Phillips Designation (mm)

(mm)

(mm)

Criteria TestE

Jrms Err:504

Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Core Type/Number Dim. A E5.3/2.7/2 5.25 E6.3/2.9/2 6.3 E13/6/6 12.7 E13/7/4 12.95 E/16/8/5 16 E19/8/5 19.05 E19/8/9 19.1 E20/10/5 20.7 E20/10/6 20 E25/9/6 25.4 E25/10/6 25.4 E25/13/7 25 E25/16/6 25.4 E30/15/7 30.8 E30/15/13 30.8 E31/13/9 30.9 E32/16/9 32 E34/14/9 34.3 E36/21/15 36 E41/17/12 40.6 E42/21/15 43 E42/21/20 43 E42/33/20 42 E46/23/30 46 E47/20/16 46.9 E50/27/15 50 E55/28/21 56.2 E55/28/25 56.6 E56/24/19 56.1 E65/32/27 65 E71/33/32 70.5 E80/38/20 80

Dim. B 2.65 2.9 5.7 6.5 8.2 8.05 8.1 10 7 9.45 9.65 12.8 15.85 15 15.2 13.1 16.4 14.1 21.8 16.6 21 21 32.8 23.2 19.6 27.2 27.8 27.8 23.6 32.8 33.2 38.1

Dim. C 2 2 6.4 3.7 4.7 8.7 8.7 5.3 5.9 6.3 6.35 7.5 6.3 7.3 12.6 9.4 9.5 9.3 15.5 12.4 15.2 20 20 30 15.6 14.6 21 25 18.8 27.4 32 19.8

FALSE

E Core Dimensions

A

F D

E

A

F

E

D

B

C

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

F

radius = 1 4 (E-F) C

Winding Volume Vw = Awlw

Surface Area of assembled transformer As = surface area of assembled core plus Core surface area = 4AB + 4BC + 2AC

Surface area of winding not included in co 4E{0.5}(E-F)+ 4{2D(0.5)(E-F)} = 2E(E-F) + As = 4AB + 4BC + 2AC + 2(E-F)(E+2D) 2B

A

A

Rou ign are

1 2 2D

(E-F)

Calculated w/bobbin (mm)

(mm)

(mm)

(mm)

(mm2)

(mm3)

(mm)

Dim. D 1.9 1.85 4.1 4.5 5.7 5.7 5.7 6.3 7 6.5 6.4 8.7 12.9 9.7 9.7 8.6 11.2 9.8 15.75 10.4 14.8 14.8 26 15.8 12.1 18.6 18.5 18.5 14.6 22.2 21.9 28.2

Dim. E 3.8 3.6 9.5 8.95 11.3 14.3 14.3 12.8 14.1 19.3 18.8 17.5 19.3 19.5 19.5 21.9 22.7 25.5 24.5 28.6 29.5 29.5 29.5 31.5 32.4 34.1 37.5 37.5 38.1 44.2 48 59.1

Dim. F 1.4 1.4 3.2 3.7 4.7 4.75 4.75 5.2 5.9 6.35 6.35 7.5 6.35 7.2 7.2 9.4 9.5 9.3 10.2 12.45 12.2 12.2 12.2 14.2 15.6 14.6 17.2 17.2 18.8 20 22 19.8

Lm 12.3 13.8 27.7 29.5 36.8 39.8 39.9 45.2 45.5 48.5 48.4 56.6 74.1 68.8 68.8 61.0 72.6 69.2 95.4 76.6 97.7 97.7 140.9 103.3 88.0 118.9 123.7 124.3 106.0 145.7 148.9 184.9

Ac 2.8 2.8 20.5 13.7 22.1 41.3 41.3 27.6 34.8 40.0 40.3 56.3 40.0 52.6 90.7 88.4 90.3 86.5 158.1 154.4 185.4 244.0 244.0 426.0 243.4 213.2 361.2 430.0 353.4 548.0 704.0 392.0

Vc 34.4 38.7 567.8 404.3 812.4 1645.0 1648.3 1245.8 1582.6 1941.3 1952.1 3182.3 2965.5 3618.3 6245.3 5392.6 6552.2 5986.5 15075.6 11824.0 18116.6 23837.6 34385.7 43990.9 21407.2 25336.8 44665.6 53443.4 37450.5 79819.5 104843.2 72493.3

Lw 14.5 14.1 33.0 26.9 33.1 45.8 45.8 36.8 40.4 49.5 48.8 49.6 49.5 52.2 62.8 61.1 62.6 66.5 77.7 78.9 85.8 95.4 95.4 119.4 92.7 92.9 112.2 120.2 109.4 136.7 152.7 144.8

2D radius = 1 (A - E) 2 1 2

(E-F)

1 2 1 2

(A - E)

(E-F)

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

embled transformer As

f assembled core plus surface area of winding not included in core surface area.

= 4AB + 4BC + 2AC

ding not included in core surface area = D(0.5)(E-F)} = 2E(E-F) + 4D(E-F) = 2(E-F)(E+2D) 2AC + 2(E-F)(E+2D) 2B

1 2

C (E-F)

E

Rounded corners ignored in surface area estimate

1 2 2D

(E-F)

Calculated w/bobbin (mm2)

(mm3)

(mm2)

[C/W]

[mW/cm3]

[A/mm2]

[mT] @ freq.

Aw

Vw 12.7 8.9 511.5 363.7 809.7 1783.4 1783.4 1215.1 1651.6 3203.7 2967.2 3290.7 6800.8 4970.9 5980.3 5195.8 7553.5 8741.0 14759.9 11026.8 18869.6 20979.7 37763.4 28130.2 15916.0 29600.8 37123.5 39771.4 26719.4 66104.9 78620.2 149564.1

As 134.3 153.6 821.1 717.2 1129.0 1715.9 1723.9 1645.5 1422.0 2354.9 2335.0 2737.0 3497.9 3692.6 4371.8 3670.1 4521.0 4558.3 7208.4 6121.7 8240.9 9056.9 12634.3 11996.1 8265.0 11269.2 13969.7 14928.6 11777.7 19973.1 22897.6 27455.8

Rθ 992.6 868.1 162.4 185.9 118.1 77.7 77.3 81.0 93.8 56.6 57.1 48.7 38.1 36.1 30.5 36.3 29.5 29.3 18.5 21.8 16.2 14.7 10.6 11.1 16.1 11.8 9.5 8.9 11.3 6.7 5.8 4.9

Psp @ ∆T 1476 1668 394 483 360 259 260 346 228 237 246 219 185 222 185 179 166 160 125 139 115 105 91 86 115 106 88 83 95 71 65 64

Jrms 10.0 10.6 5.2 5.7 4.9 4.2 4.2 4.8 3.9 4.0 4.1 3.9 3.5 3.9 3.5 3.5 3.4 3.3 2.9 3.1 2.8 2.7 2.5 2.4 2.8 2.7 2.4 2.4 2.5 2.2 2.1 2.1

Bpeak 325.1 340.1 199.2 215.0 192.8 170.6 170.9 189.9 162.6 165.1 167.3 160.3 150.7 161.3 150.6 148.9 144.7 142.8 130.3 135.4 126.4 121.9 115.6 113.5 126.1 122.6 114.6 111.9 117.7 105.6 102.0 101.7

0.9 0.6 15.5 13.5 24.5 39.0 39.0 33.0 40.9 64.7 60.8 66.4 137.3 95.2 95.2 85.0 120.6 131.4 189.9 139.7 219.8 219.8 395.6 235.5 171.8 318.6 331.0 331.0 244.3 483.6 514.8 1033.0

ius =

(A - E)

F)

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

(A - E)

F)

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

e surface area.

[watts]

[#]

[nH]

[watts]

E_rating 2.4 1.9 97.4 67.8 153.6 342.8 343.9 249.2 271.0 509.9 498.2 686.4 874.4 933.8 1373.0 1162.0 1573.1 1592.8 3391.3 2665.4 4291.5 5186.7 8241.7 8189.9 4377.5 6654.3 9987.7 11242.2 7678.2 18259.8 23043.9 25538.2

Npri 262.08 250.49 58.46 81.06 56.01 33.83 33.78 45.57 42.14 36.12 35.36 26.46 39.56 28.14 17.45 18.13 18.27 19.31 11.58 11.41 10.17 8.02 8.45 4.94 7.77 9.13 5.76 4.96 5.74 4.12 3.32 5.99

Lleakage 13127.98 11044.69 1812.58 2160.58 1256.70 918.87 916.34 965.29 878.63 1347.45 1243.16 417.55 814.19 548.58 253.92 305.54 257.84 429.33 99.08 167.18 108.72 75.06 47.51 33.34 81.30 84.91 42.79 33.93 49.79 26.52 20.94 75.66

Pwr Loss 0.07 0.08 0.42 0.37 0.58 0.89 0.89 0.85 0.74 1.22 1.21 1.42 1.81 1.91 2.26 1.90 2.34 2.36 3.73 3.17 4.26 4.69 6.54 6.21 4.28 5.83 7.23 7.73 6.09 10.34 11.85 14.21

Calculated

Calculated

w/bobbin

w/bobbin

lw 14.46 14.14 32.98 26.93 33.05 45.78 45.78 36.82 40.36 49.52 48.83 49.59 49.52 52.2 62.8 61.11 62.61 66.52 77.74 78.94 85.85 95.45 95.45 119.45 92.66 92.9 112.16 120.16 109.39 136.68 152.71 144.79

Aw 0.88 0.63 15.51 13.51 24.5 38.96 38.96 33 40.92 64.7 60.76 66.36 137.34 95.23 95.23 85.02 120.64 131.4 189.87 139.68 219.8 219.8 395.64 235.5 171.76 318.62 330.99 330.99 244.26 483.64 514.84 1032.98

From Ferroxcube CD lw

Aw 12.6 12.8 32 24 33 33.7 47.6 38.7

1.5 1.62 16.8 11.6 21.6 40 35.9 28.6

53.1 49

47.4 56

56

80

60 69

97 102

81.2 93 78.5

114 178 255

94.7

131

119

278

114 150

205 394

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestEC

Core # EC35 EC41 EC52 EC70

Dim. A 35.3 41.6 52.2 71.7

Dim. B 17.3 19.5 24.2 34.5

Dim. C 9.5 11.6 13.4 16.4

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Phillips

TRUE

[mm]

[mm]

[mm]

[mm]

[mm2]

[mm3]

[mm]

Dim. D 22.8 27.1 33 44.5

Dim. E 9.5 11.6 13.4 16.4

Dim. H 12.3 13.9 15.9 22.8

Lm 77.4 89.3 105 144

Ac 84.3 121 180 279

Vc 6530 10800 18800 40100

Lw 53.1 62.4 74.9 97.3

EC Core Formulas

Magnetic parameters (mean path length lm, core area Ac, and core volume Vc) given in m Winding parameters: Mean turn length lw = 2π (D/2 + E/2)/2 = 0.5π (D + E) ; No coil former lw = 0.5π (D + E+1.6) ; with coil former having walls 0.8 mm thick Winding window area Aw = 2H (D-E)/2 = (D-E)H ; no bobbin Aw = (D-E-1.6)(H-0.8) ; with bobbin having walls 0.8 mm thick Winding volume Vw = Awlw = π (D + E) H (D-E) = π (D2 - E2) Surface area of assembled core and winding As Exposed core surface area: Front and back = 2(A2B) - 2(2HD) = 4AB - 4DH Top and bottom = 2AC Left and right = 2(2BC) = 4BC Total 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

Ferroxcube w/bobbin [mm2] Aw 102.5 137.5 212.0 465.0

Ferroxcube w/bobbin [mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

Vw 5442.8 8580.0 15878.8 45244.5

As 4327.1 5854.7 8921.0 16981.4

Rθ 30.8 22.8 14.9 7.9

Psp 187.0 156.3 133.1 103.0

Jrms 3.6 3.3 3.0 2.6

Bpeak 151.2 141.5 133.3 121.2

core volume Vc) given in manufacturer's catalog.

[watts]

[#]

[nH]

[watts]

EC_Rating 1386.0 2283.2 4553.1 12378.5

Npri 18.71 13.93 9.94 7.05

Lleakage 210.37 141.32 95.45 62.41

Pwr Loss 2.24 3.03 4.62 8.79

Calculated w/bobbin Lw 53.2 63.3 75.4 98.1

Calculated w/bobbin Aw 134.6 182.1 271.8 583.0

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

Lw 53.1 62.4 74.9 97.3

Aw 102.5 137.5 212.0 465.0

Calculated No bobbin Lw 50.7 60.8 72.8 95.6

Calculated No bobbin Aw 163.6 215.5 311.6 640.7

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestEFD

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Core # EFD10 EFD12 EFD15 EFD20 EFD25 EFD30

Dim. A 10.5 12.5 15.0 20.0 25.0 30.0

Dim. B 5.2 6.2 7.5 10.0 12.5 15.0

Dim. C 2.7 3.5 4.7 6.7 9.1 9.1

Acore Err:504

Vc + Vw Err:504

Phillips

FALSE

Ferroxcube w/bobbin [mm]

[mm]

[mm]

[mm]

[mm]

[mm2]

[mm3]

[mm]

Dim. D 7.7 9.0 11.0 15.4 18.7 22.4

Dim. E 4.6 5.4 5.3 8.9 11.4 14.6

Dim. F 1.5 2.0 2.4 3.6 5.2 4.9

Dim. H 3.8 4.6 5.5 7.7 9.3 11.2

Lm 23.7 28.5 34.0 47.0 57.0 68.0

Ac 7.2 11.4 15.0 31.0 58.0 69.0

Vc 171.0 325.0 510.0 1460.0 3300.0 4700.0

Lw 14.8 18.6 25.6 34.1 40 52.9

EFD Core Formulas

Magnetic parameters (mean path length lm, core area Ac, and core volume Vc) Winding parameters: Mean turn length lw

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 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 Winding volume Vw = Awlw Surface area of assembled core and winding As Exposed core surface area: Front and back = 2(A2B) - 2(2HD) = 4AB - 4DH Top and bottom = 2AC Left and right = 2(2BC) = 4BC Total 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

Ferroxcube w/bobbin [mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

[watts]

Aw

Vw 62.2 120.9 427.5 944.6 1840.0 2766.7

As 251.0 342.3 578.5 986.9 1352.0 1894.7

Rθ 531.1 389.5 230.5 135.1 98.6 70.4

Psp 557.2 397.3 319.3 212.4 136.1 131.3

Jrms 6.1 5.2 4.7 3.8 3.0 3.0

Bpeak 226.6 199.9 184.4 158.5 134.4 132.7

EFD_Rating 12.5 22.9 64.0 153.9 324.6 425.5

4.2 6.5 16.7 27.7 46 52.3

and core volume Vc) given in manufacturer's catalog.

wall thickness 0.8 mm

D-E)2 - 2CD

[#]

[nH]

[watts]

Npri 146.21 104.67 86.25 48.54 30.59 26.06

Lleakage 2701.37 1669.10 2065.81 709.81 307.51 261.82

Pwr Loss 0.13 0.18 0.30 0.51 0.70 0.98

Calculated w/bobbin Lw 20.96 24.3 28.2 39.1 48.5 55.1

Calculated

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

w/bobbin

No bobbin

Aw

Lw

Aw

Lw

4.5 7.6 19.3 33.8 48.5 64.5

14.8 18.6 25.6 34.1 40 52.9

4.2 6.5 16.7 27.7 46 52.3

Calculated

17.1 20.5 24.3 35.2 44.7 51.2

Calculated No bobbin Aw 11.8 16.6 31.4 50.1 67.9 87.4

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestEP

Core # EP7 EP10 EP13 EP17 EP20

Dim. A 9.4 11.5 12.8 18.0 24.0

Dim. B 7.5 10.2 13.0 16.8 21.4

Dim. C 5.0 7.4 9.0 11.4 14.4

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Phillips

FALSE

Core dimensions:

Ferroxcube w/bobbin [mm]

[mm]

[mm]

[mm]

[mm]

[mm2]

[mm3]

[mm]

Dim. D 6.5 7.6 9.0 11.0 15.0

Dim. E 7.2 9.4 9.7 12.0 16.5

Dim. F 3.4 3.3 4.5 5.7 8.8

Dim. G 1.7 1.8 2.4 3.3 4.5

Lm 15.5 19.3 24.2 29.5 41.1

Ac 10.7 11.3 19.5 33.7 78.7

Vc 165.0 215.0 472.0 999.0 3230.0

Lw 17.7 21.7 23.0 28.9 40.8

EP Core Formulas Magnetic dimensions (lm, Ac, Vc) given on core spec sheets. Winding dimensions: 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 walls Winding window area Aw = C(E-F)/2 ; no bobbin Aw = (C-1.6)(E-F-1.6)/2 ; bobbin with 0.8 mm thick walls

Winding volume Vw = lw Aw Surface area As: Exposed core surface: Vertical surface area = 2BD + AB + AB - EC = 2B(D+A) - EC Top and bottom surface = 2AD Exposed 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

Ferroxcube w/bobbin [mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

[watts]

Aw

Vw 76.1 247.4 310.5 537.5 1370.9

As 381.2 604.1 847.0 1448.4 2524.6

Rθ 349.8 220.7 157.4 92.1 52.8

Psp 818.2 676.1 560.1 487.8 284.0

Jrms 7.5 6.8 6.2 5.8 4.4

Bpeak 261.2 243.4 227.0 215.7 176.5

EP_Rating 26.7 63.2 109.7 231.6 610.1

4.3 11.4 13.5 18.6 33.6

2B(A+D) + 0.57CE

[#]

[nH]

[watts]

Npri 85.33 86.72 53.88 32.81 17.17

Lleakage 2050.50 2815.91 807.56 360.00 134.63

Pwr Loss 0.20 0.31 0.44 0.75 1.31

Calculated

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

w/bobbin

w/bobbin

No bobbin

Lw

Aw

Lw

Aw

Lw

19.2 22.5 24.8 30.3 42.2

Calculated

3.7 13.1 13.3 23.0 39.0

17.7 21.7 23.0 28.9 40.8

4.3 11.4 13.5 18.6 33.6

Calculated

16.6 19.9 22.3 27.8 39.7

Calculated No bobbin Aw 9.5 22.6 23.4 35.9 55.4

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestER

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Core # ER9.5 ER11 ER14.5 ER28 ER28L ER35 ER40 ER42 ER42A ER48 ER54

Dim. A 9.5 11.0 14.5 28.6 28.6 35.0 40.0 42.0 42.0 48.0 53.5

Dim. B 5.0 6.0 6.8 11.4 11.4 11.4 13.4 15.6 15.6 21.0 18.0

Dim. C 2.5 2.5 3.0 14.0 16.9 20.7 22.4 22.4 21.8 21.2 18.3

Phillips

FALSE

Calculated w/bobbin [mm]

[mm]

[mm]

[mm]

[mm]

[mm2]

[mm3]

[mm]

Dim. D 7.1 8.0 11.8 21.8 21.8 26.2 29.6 30.1 30.4 38.0 40.7

Dim. E 3.5 4.3 4.8 9.9 9.9 11.3 13.3 15.5 15.0 18.0 17.9

Dim. F 1.6 1.5 1.6 9.8 12.7 14.8 15.5 15.5 15.6 14.7 11.1

Dim. G 7.5 8.7 11.8 21.8 21.8 26.2 29.6 30.1 30.4 38.0 40.7

Lm 14.2 14.7 19.0 64.0 75.5 90.8 98.0 98.8 99.0 100.0 91.8

Ac 8.5 11.9 17.6 81.4 81.4 107.0 149.0 194.0 170.0 255.0 250.0

Vc 120.0 174.0 333.0 5260.0 6140.0 9710.0 14600.0 19200.0 16800.0 25500.0 23000.0

Lw 19.8 22.9 28.6 52.3 52.3 61.4 69.9 74.1 73.8 90.4 94.5

ER Core Formulas Magnetic dimensions (mean path length lm, core area Ac, and core volume Vc) Winding dimensions: Mean turn length lw = 2π (G+E)/2 = π(G+E) ; no bobbin lw = π(G+E+1.6) ; bobbin with 0.8 mm thick walls Winding area Aw = 2F(G-E)/2 = F(G-E) ; no bobbin Aw = (F-0.8)(G-E-1.6) ; bobbin with 0.8 mm thick walls Winding Volume Vw = lwAw = πF(G2 - E2) Surface area As: Exposed core surface: front and back = 2(2CA) - 2(2FD) = 4AC-4DF Left and right = 2(2CB) = 4BC top and bottom = 2AB Total exposed core surface = 4AC -4DF+4BC+2AB = 4C(A+B)+2AB-4DF

Winding surface: Vertical surface = πG2F - 2(2FB) = 2πFG - 4BF Horizontal surface = 2π(G/2)2 - 2BG Total 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 w/bobbin

Calculated w/bobbin

[mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

[watts]

Aw

Vw 38.0 44.9 123.4 4846.4 6408.1 11430.3 15097.1 14161.3 15070.9 23128.9 20638.1

As 71.7 76.7 73.2 1689.4 2165.5 3174.7 3903.8 4207.1 4042.3 4043.6 3324.9

Rθ 1859.6 1738.3 1821.8 78.9 61.6 42.0 34.2 31.7 33.0 33.0 40.1

Psp 234.9 181.3 83.0 86.5 89.3 77.7 68.0 65.3 65.6 43.0 39.4

Jrms 4.0 3.5 2.4 2.4 2.5 2.3 2.1 2.1 2.1 1.7 1.6

Bpeak 164.5 149.5 111.9 113.7 115.0 109.2 104.0 102.4 102.6 87.8 85.0

ER_Rating 3.2 3.6 6.0 618.7 841.1 1488.0 2141.6 2378.4 2238.7 2911.9 2258.8

1.9 2.0 4.3 92.7 122.6 186.2 216.1 191.1 204.2 255.8 218.4

nd core volume Vc) given on core specification sheets.

+2AB-4DF

5G) - 2B(2F+G)

[#]

[nH]

[watts]

Npri 170.54 134.07 121.09 25.78 25.48 20.41 15.40 12.01 13.67 10.66 11.23

Lleakage 15055.51 12650.59 19184.72 441.63 332.83 269.37 182.26 105.33 142.55 146.30 256.23

Pwr Loss 0.04 0.04 0.04 0.87 1.12 1.64 2.02 2.18 2.09 2.09 1.72

Calculated

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

w/bobbin

w/bobbin

No bobbin

Lw

Aw

Lw

Aw

Lw

19.8 22.9 28.6 52.3 52.3 61.4 69.9 74.1 73.8 90.4 94.5

Calculated

1.9 2.0 4.3 92.7 122.6 186.2 216.1 191.1 204.2 255.8 218.4

18.4 21.6 27.0

2.8 2.8 5.1

Calculated

17.3 20.4 26.1 49.8 49.8 58.9 67.4 71.6 71.3 87.9 92.0

Calculated No bobbin Aw 6.4 6.6 11.2 116.6 151.1 220.5 252.7 226.3 240.2 294.0 253.1

Transfer

Data

Core Rating

Core #

designation

Err:504 Criteria TestETD

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Core # ETD29 ETD34 ETD39 ETD44 ETD49 ETD54 ETD59

Acore Err:504

Vc + Vw Err:504

Phillips

TRUE

[mm] Dim. A 30.6 35 40 45 49.8 54.5 59.8

[mm] Dim. B 15.8 17.3 19.8 22.3 24.7 27.6 31

[mm] Dim. C 9.8 11.1 12.8 15.2 16.7 18.9 21.65

ETD Core Formulas

Mean turn length lw =2π (E+F)/4 = 0.5π(E+F) ; no bobbin lw = 0.5π(E+F+1.6) ; bobbin with 0.8 mm thick walls Winding window area Aw = 2D = D(E-F) ; no bobbin Aw = (D-0.8)(E-F-1.6) ; bobbin with 0.8 mm thick walls Winding volume Vw = {0.25 πE2 - 0.25πF2]2D = 0.5πD(E2 - F2) Surface Area As 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 - 4CD Horizontal 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

Ferroxcube w/bobbin [mm]

[mm]

[mm]

[mm]

[mm2]

[mm3]

[mm]

Dim. D

Dim. E

Dim. F

Lm 72 78.6 92.2 103 114 127 139

Ac 76 97.1 125 173 211 280 368

Vc 5470 7640 11500 17800 24000 35500 51500

Lw

11 11.8 14.2 16.1 17.7 20.2 22.5

22 25.6 29.3 32.5 36.1 41.2 44.7

Dimensions

9.8 11.1 12.8 15.2 16.7 18.9 21.65

52.0 60.0 69.0 77.0 85.0 96.0 106.0

Ferroxcube w/bobbin

Ferroxcube w/bobbin

[mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

Aw

Vw 4940.0 7380.0 12213.0 16478.0 23205.0 30336.0 38796.0

As 3343 4281 5623 7171 8783 10941 13419

Rθ 39.9 31.1 23.7 18.6 15.2 12.2 9.9

Psp 166.2 147.5 122.7 108.3 96.3 86.0 76.9

Jrms 3.4 3.2 2.9 2.7 2.6 2.4 2.3

Bpeak 144.8 138.5 129.4 123.5 118.3 113.4 108.8

95.0 123.0 177.0 214.0 273.0 316.0 366.0

[watts]

[#]

[nH]

[watts]

ETD_Rating 1045.0 1558.1 2459.3 3690.0 5184.6 7217.7 9968.7

Npri 21.68 17.74 14.75 11.16 9.56 7.51 5.96

Lleakage 283.75 242.76 182.55 107.92 89.09 62.58 40.32

Pwr Loss 1.73 2.22 2.91 3.71 4.55 5.66 6.94

Calculated w/bobbin Lw 52.4 60.1 68.6 77.4 85.4 96.9 106.7

Calculated w/bobbin Aw 108.1 141.9 199.7 240.2 300.8 401.6 465.5

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

Lw

Aw

52.0 60.0 69.0 77.0 85.0 96.0 106.0

95.0 123.0 177.0 214.0 273.0 316.0 366.0

Calculated No bobbin Lw 49.9 57.6 66.1 74.9 82.9 94.4 104.2

Calculated No bobbin Aw 134.2 171.1 234.3 278.5 343.4 450.5 518.6

Transfer

Data

Core Rating

Core #

Designation

[mm]

[mm]

[mm]

Err:504 Criteria TestPM

Core # PM 50/39 PM 62/49 PM 74/59 PM 87/70 PM 114/93

Dim. A 49.2 62.0 74.0 87.0 114

Dim. B 38.8 49.0 59.0 70.0 93

Dim. C 23.4 -

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Seimens

TRUE

PM Core Forumlas

Effective magnetic length lm, core area Ac, and core volume

Mean winding length lw = 2π(g +h)/2 = π(g + h) ; no bobbin lw = = π(g + h + 1.6) ; bobbin with 0.8 thick walls Winding window area Aw = d(h - g)/2 ; no bobbin Aw = (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 26.8 33.4 40.7 48.0 63

Dim. E 4.8 -

Dim. F 1.4 -

Dim. G 19.7 25.5 29.5 31.7 43

Dim. H 39.7 48.8 57.5 67.1 88

Dim. I 5.4 5.4 5.4 8.5 5.4

Dim. J 37.6 -

e area Ac, and core volume Vm given in core specification sheet.

h)/2 = π(g + h) ; no bobbin th 0.8 thick walls

g)/2 ; no bobbin in with 0.8 mm thick walls

(h^2 - g^2)/2

π(a/2)h = πa^2/2 + πah

Calculated w/bobbin [mm]

[mm2]

[mm3]

Lm 84 109 128 146 200

Ac 370 570 790 910 1720

Vc 31000 62000 101000 133000 344000

[mm] Lw 191.5 238.3 278.2 315.3 416.4

Calculated w/bobbin [mm2] Aw 231.8 345.0 516.1 784.2 1332.4

Calculated w/bobbin [mm3]

[mm2]

Vw 44406.6 82229.6 143586.6 247211.1 554755.1

As 13734.0 21570.5 30555.3 42097.0 72307.9

[C/W]

[mW/cm3]

[A/cm2]

[mT]

[watts]

[#]

[nH]

Rθ 9.7 6.2 4.4 3.2 1.8

Psp 94.3 77.4 64.6 57.3 41.6

Jrms 2.5 2.3 2.1 2.0 1.7

Bpeak 117.3 109.1 102.0 97.6 86.7

PM_Rating 7578.3 14636.1 25944.8 40877.7 99424.2

Npri 5.49 3.84 2.96 2.69 1.60

Lleakage 90.33 51.23 35.08 35.12 15.93

[watts] Power Loss 7.11 11.16 15.81 21.79 37.42

Calculated w/bobbin Lw 191.5 238.3 278.2 315.3 416.4

Calculated w/bobbin Aw 231.8 345.0 516.1 784.2 1332.4

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

Lw

Aw

Calculated No bobbin Lw 186.5 233.3 273.2 310.2 411.3

Calculated No bobbin Aw 268.0 389.1 569.8 849.6 1417.5

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestP

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Core # P7/4 P9/5 P11/7 P14/8 P18/11 P22/13 P26/16 P30/19 P36/22 P42/29 P66/56

Dim. A 5.5 6.5 6.8 9.5 13.4 15.0 18.0 20.5 26.2 32.0

Dim. B 1.6 2.0 2.2 2.7 3.8 3.8 3.8 4.3 4.9 5.1 7.0

Dim. D1 7.4 9.3 11.3 14.3 18.4 22.0 25.5 30.0 36.2 42.2 66.3

Phillips

FALSE

d 1 d

2

d3

h1 2 h2 2

A

a

d 4

A' b

[mm]

[mm]

[mm]

[mm]

[mm]

[mm]

[mm2]

Dim. D2 5.8 7.5 9.0 11.6 14.9 17.9 21.2 25.0 29.9 35.6 53.5

Dim. D3 3.0 3.9 4.7 6.0 7.6 9.4 11.5 13.5 16.2 17.7 28.8

Dim. D4 1.4 2.1 2.2 3.1 3.1 4.4 5.4 5.4 5.4 5.4 6.4

Dim. H1 4.2 5.4 6.5 8.4 10.6 13.4 16.0 18.8 21.7 29.4 55.8

Dim. H2 2.8 3.6 4.4 5.6 7.2 9.2 11.0 13.0 14.6 20.3 42.0

Lm 10.0 12.5 15.5 19.8 25.8 31.5 37.6 45.2 53.2 68.6 123.0

Ac 7.0 10.1 16.2 25.1 43.3 63.4 93.9 137.0 202.0 265.0 717.0

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 thick Winding window area Aw = 0.5 h2 (d2 - d3); without coil former Aw =

d 4

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

Ferroxcube w/bobbin

Ferroxcube w/bobbin

[mm3]

[mm]

[mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

Vc 70.0 126.0 251.0 495.0 1120.0 2000.0 3530.0 6190.0 10700.0 18200.0 88300.0

Lw

Aw

Vw

As 125.0 200.9 294.5 479.4 781.7 1167.7 1606.2 2221.0 3121.8 4786.2 13814.4

Rθ 1066.9 663.6 452.8 278.1 170.6 114.2 83.0 60.0 42.7 27.9 9.7

Psp 637.9 547.0 424.2 332.6 226.7 188.2 148.4 114.7 100.5 81.9 51.0

ls 0.8 mm thick

ving walls 0.8 mm thick

14.6 18.8 22.7 29.0 36.7 44.7 52.7 66.0 74.3 86.0 130.0

2.2 3.4 4.8 8.7 18.1 27.1 39.3 58.1 72.4 140.0 400.0

31.4 64.1 108.3 250.9 664.3 1211.4 2071.1 3834.6 5379.3 12040.0 52000.0

[A/cm2]

[mT]

[watts]

[#]

[nH]

[watts]

Jrms 6.6 6.1 5.4 4.8 3.9 3.6 3.2 2.8 2.6 2.4 1.9

Bpeak 238.2 225.0 204.8 187.2 162.4 151.6 138.8 126.2 120.1 111.4 93.4

P_rating 7.0 14.1 25.3 57.5 148.6 277.1 484.0 833.9 1365.9 2900.5 14834.5

Npri 143.04 104.94 71.89 50.77 33.92 24.82 18.30 13.80 9.83 8.08 3.56

Lleakage 6253.24 4334.25 2400.02 1564.74 896.18 532.64 325.76 232.76 140.99 103.66 20.29

Power Loss 0.06 0.10 0.15 0.25 0.40 0.60 0.83 1.15 1.62 2.48 7.15

Calculated

Calculated

w/bobbin

w/bobbin

Lw

Aw

16.3 20.4 24.0 30.1 37.8 45.4 53.9 63.0 74.9 86.2 131.7

0.7 2.0 3.8 8.0 16.0 26.2 38.1 56.4 78.7 152.4 466.6

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

No bobbin

No bobbin

Lw

Aw

Lw

Aw

14.6 18.8 22.7 29.0 36.7 44.7 52.7 66.0 74.3 86.0 130.0

2.2 3.4 4.8 8.7 18.1 27.1 39.3 58.1 72.4 140.0 400.0

Calculated

13.8 17.9 21.5 27.6 35.3 42.9 51.3 60.4 72.4 83.7 129.2

Calculated

3.9 6.5 9.5 15.7 26.3 39.1 53.4 74.8 100.0 181.7 518.7

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestPQ

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Core # PQ20/16 PQ20/20 PQ26/20 PQ26/25 PQ32/20 PQ32/30 PQ35/35

Dim. A 21.3 21.3 27.3 27.3 33.0 33.0 36.1

Dim. B 16.2 20.2 20.2 24.7 20.6 30.3 34.7

Dim. C 10.3 14.3 11.5 16.1 11.5 21.3 25.0

Acore Err:504

Vc + Vw Err:504

Phillips

FALSE

Core Dimensions:

[mm]

[mm]

[mm]

[mm]

[mm]

[mm]

[mm2]

[mm3]

Dim. D 18.0 18.0 22.5 22.5 27.5 27.5 32.0

Dim. E 8.8 8.8 12.0 12.0 13.5 13.5 14.4

Dim. F 14.0 14.0 19.0 19.0 22.0 22.0 26.0

Dim. G 4.0 4.0 6.0 6.0 5.5 5.5 6.0

Dim. H 12.0 12.0 15.5 15.5 19.0 19.0 23.5

Lm 37.6 45.7 45.0 54.3 55.9 74.7 86.1

Ac 61.9 62.6 121.0 120.0 169.0 167.0 190.0

Vc 2330.0 2850.0 5820.0 6530.0 9440.0 12500.0 16300.0

PQ Core Formulas

Magnetic parameters (lm, Ac,Vc) given on core specificaitons sheets. Winding dimensions: Mean turn length lw = 0.5π(D+E) ; no coil former lw = 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 former area Aw = 0.5[C - 1.6](D-E-1.6) ) ; with coil former with walls 0.8 mm thick Windng volume Vw = lwAw Surface Area As: Exposed core area: Top and bottom = 2AF ; cutouts ignored. Left and right vertical = 2BF Front and back vertical = 2AB-2CD Total 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 - 2FD Total winding surface = πCD - 2CF + 0.5πD2 -2FD

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

Ferroxcube w/bobbin

Ferroxcube w/bobbin

[mm]

[mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

Lw

Aw

Vw 1034.0 1584.0 1748.4 2679.0 2988.2 3535.1 14107.4

As 1667.8 1920.2 2705.7 3065.6 3549.8 4492.9 5742.6

Rθ 79.9 69.4 49.3 43.5 37.6 29.7 23.2

Psp 256.6 224.1 185.0 172.3 147.8 145.0 97.7

Jrms 4.2 3.9 3.5 3.4 3.2 3.1 2.6

Bpeak 170.0 161.7 150.6 146.7 138.6 137.6 118.9

0.8 mm thick

44 44 56.4 56.4 66.7 66.7 75.4

23.5 36 31 47.5 44.8 53 187.2

+ 0.5πD2 - 2DF

[watts]

[#]

[nH]

[watts]

PQ_rating 307.2 423.1 596.0 851.2 989.5 1137.6 3243.0

Npri 22.67 23.56 13.09 13.55 10.18 10.38 10.56

Lleakage 422.63 329.00 184.64 141.37 176.24 98.85 123.77

Power Loss 0.86 0.99 1.40 1.59 1.84 2.33 2.97

Calculated

Ferroxcube

Ferroxcube

w/bobbin

w/bobbin

w/bobbin

w/bobbin

Lw

Aw

Lw

Aw

44.6 44.6 56.7 56.7 66.9 66.9 75.4

Calculated

33.1 48.3 44.1 64.5 61.4 122.1 187.2

44 44 56.4 56.4 66.7 66.7

23.5 36 31 47.5 44.8 53

Calculated

Calculated

No bobbin

No bobbin

Lw

Aw 47.4 65.8 60.4 84.5 80.5 149.1 220.0

42.1 42.1 54.2 54.2 64.4 64.4 72.8

Transfer

Data

Core Rating

Core #

designation

[mm]

[mm]

[mm]

Err:504 Criteria TestRMI

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Core # RM4/I RM5/I RM6S/I RM7/I RM8/I RM10/I RM12/I RM14/I

Dim. A 9.8 12.3 14.7 17.2 19.7 24.7 29.8 34.7

Dim. B 11 14.9 17.9 20.3 23.2 28.5 37.4 42.2

Dim. C 4.4 6.8 8.2 7.25 11 13.5 16.1 19

Acore Err:504

Vc + Vw Err:504

Phillips

FALSE

Dimensions:

Vertical core surfaces:

top view h2 2 a

a 2 1.414a - b c

b e

c 0.707b-0.5a

2

a 1.414

d3

0.5[a-d2 ]

h1 2

c 0.707b-0.5a

2

0.5[a-d2 ]

h1 2

[mm]

[mm]

[mm]

[mm]

[mm]

[mm]

[mm2]

Dim. D2 7.95 10.2 12.4 14.75 17 21.2 25 29

Dim. D3 3.9 4.9 6.4 7.25 8.55 10.9 12.8 15

Dim. E 5.8 6 8.8 9.3 9.5 10.9 12.9 17

Dim. H1 10.4 10.4 12.4 13.4 16.4 18.6 25.5 30.1

Dim. H2 7 6.3 8 8.4 10.8 12.4 16.8 20.8

Lm 23.3 23.2 29.2 30 38.4 44.6 56.6 70

Ac 13.8 24.8 37 44.1 63 96.6 146 198

RM/I Core Formulas

Core parameters: 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. Winding parameters: Coil former assumed to have 0.8mm thick walls Mean turn length lw = 2π(d2+d3)/4 = 1.57(d2+d3) no coil former lw = 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 former Aw = (0.5d2 - 0.5d3 -0.8)(h2 - 1.6) with coil former Winding volume Vw = lwAw

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/1.414 total top and bottom surfaces = total top and bottom surfaces = 2[1.414ab -0.5b^ = 2.83ab - b^2 - c^2

side view

vertical surface area = 4(.707b-.5a)h1+ 2(1.414a-b)h1 +4(0 = 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2)

h2 2

Exposed core surface area = 2.83ab - b2 - c2 + 0.83h1(a+b Exposed winding surface area: vertical exposed winding surface = 0.5πd2h2

d3

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

As = 2.83ab - b^2 - c^2 + 0.83h1(a+b) + 2h2(a-d2) +4e(h1 As = 2.83ab - b^2 - 2c^2 + + 0.83h1(a+b) + 2h2(a-d2) +4e

h1 2

h1 2

Ferroxcube bobbin [mm3]

[mm]

[mm2]

[mm3]

[mm2]

[C/W]

[mW/cm3]

Vc 322 574 1090 1325 2440 4310 8340 13900

Lw

Aw

Vw 166.3 244.0 462.0 735.0 1302.0 2233.2 4575.0 7881.0

As 552.9 735.2 1074.0 1460.3 1848.8 2702.4 4295.3 5845.6

Rθ 241.2 181.3 124.1 91.3 72.1 49.3 31.0 22.8

Psp 585.9 465.1 358.1 366.8 255.7 213.7 172.1 138.9

mm thick walls

coil former

Ferroxcube bobbin

19.8 24.9 30.8 35 42 52.3 61 71

8.4 9.8 15 21 31 42.7 75 111

^2 - {0.7a-0.5b}^2} 1.414ab -0.5b^2 - 0.5c^2

urfaces = 2[1.414ab -0.5b^2 - 0.5c^2]

a)h1+ 2(1.414a-b)h1 +4(0.5(a-d2)h2 +4e (h1 - h2)

ab - b2 - c2 + 0.83h1(a+b) + 2h2(a-d2) +4e(h1-h2)

= 0.5πd2h2

=2[ 0.5π[d2/2]^2 - 0.5c^2] = 0.25π[d2]^2 - c^2 1.57d2h2 + 0.79[d2]^2 - c^2

1(a+b) + 2h2(a-d2) +4e(h1-h2) + 1.57d2h2 + 0.79[d2]^2 - c^2 3h1(a+b) + 2h2(a-d2) +4e(h1-h2) + 1.57d2h2 + 0.79[d2]^2

side view

[A/mm2]

[mT]

[watts]

[#]

[nH]

[watts]

Jrms 6.3 5.6 4.9 5.0 4.2 3.8 3.4 3.1

Bpeak 230.9 211.9 192.4 194.1 169.8 158.9 146.7 135.5

RMI_rating 50.2 86.2 156.7 267.0 411.2 743.1 1633.8 2720.9

Npri 74.88 45.38 33.51 27.87 22.30 15.54 11.14 8.89

Lleakage 1344.43 903.18 543.09 508.02 342.01 219.61 115.09 79.13

Power Loss 0.29 0.38 0.56 0.76 0.96 1.40 2.22 3.03

Calculated

Calculated

[nH]

[#]

Bobbin

Bobbin

Lleakage 1344.4 903.2 543.1 508.0 342.0 219.6 115.1 79.1

Npri 74.88 45.38 33.51 27.87 22.30 15.54 11.14 8.89

Lw

Aw 21.1 26.2 32.0 37.1 42.6 52.9 61.9 71.6

6.6 8.7 14.1 20.1 31.5 47.0 80.6 119.0

Ferroxcube

Ferroxcube

Calculated

Calculated

bobbin

bobbin

no Bobbin

No bobbin

Lw

Aw

Lw

Aw

19.8 24.9 30.8 35 42 52.3 61 71

8.4 9.8 15 21 31 42.7 75 111

18.6 23.7 29.5 34.5 40.1 50.4 59.3 69.1

14.2 16.7 24.0 31.5 45.6 63.9 102.5 145.6

Transfer

Data

Core Rating

Core #

Phillips designation

[mm]

[mm]

[mm]

Err:504 Criteria TestU

Jrms Err:504

Err:504 Err:504 Lleakage Err:504 Pwr Loss Err:504 Bpeak Err:504

Acore Err:504

Vc + Vw Err:504

Core # U/10/8/3 U/15/11/6 U20/16/7 U25/16/6 U25/20/13 U/30/25/16 U/33/22/9 U/67/27/14 U/93/76/16 U/93/52/30 U/93/76/30 U/100/48/25 U/100/57/25

Dim. A 10 15.4 20.8 25.4 24.8 31.3 33.3 67.3 93 93 93 101.6 101.6

Dim. B 8.2 11.45 15.6 15.9 19.6 25.3 22.2 27 76 52 76 47.5 57.1

Dim. C 2.9 6.25 7.5 6.4 12.7 16 9.4 14.3 16 30 30 25.4 25.4

FALSE

U core dimensions

E

Mean core length lc = 4D +

A C

D

B

A-E 4 radius Å

E

2D

B-D 2

1

A-E

2

4

+

B-D 2

radius Å

E

2D

1

A-E

2

4

+

B-D 2

B-D 2

Two section winding

Coil former wall thickness 1 mm

E 1 mm (A-E) 2

C

radius =

(E-3mm) 4

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

Surface area As - single section windin

Exposed surface area of core As,c Exposed core surface bottom and top = Exposed core surface left and right = 2 Exposed core = 4AB surface –4DE-2D(A-E)/2*2 front and back = 4AB –4DE –2AD + 2DE = 4AB – 2DE Summing three terms together As,c = 4BC –2DC+2AC+4AB-2DE-2AD Exposed surface area of winding As,w Top and bottom = (2)(4)(0.25π)(E)^2 = 2.3E^2 + 2AE +2CE

Vertical surface = 2πE(2D) +2(2D)(0.5

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

As = 4AB + 2AC + 8.6DE + 4BC +2.3E

calculated w/bobbin

calculated w/bobbin

[mm]

[mm]

[mm]

[mm2]

[mm3]

[mm]

[mm2]

Dim. D 5 6.4 8.3 9.5 11.4 14.9 12.7 12.7 48 24 48 22.1 31.7

Dim. E 4.35 5.4 6.4 12.7 8.4 10.5 14.3 38.8 36.2 36.2 36.2 50.8 50.8

Lm 38.4 52 68 83.6 88.2 111 110 173 354 258 354 270 308

Ac 8.4 32.3 56.0 40.3 104.0 161.0 86.5 204.0 448.0 840.0 840.0 645.0 645.0

Vc 323.0 1680.0 3800.0 3380.0 9180.0 17900.0 9490.0 35200.0 159000.0 217000.0 297000.0 174000.0 199000.0

Lw

Aw

30.0 44.3 54.4 70.2 73.0 90.6 87.6 183.8 207.3 235.3 235.3 266.0 266.0

26.8 47.5 78.8 198.9 153.9 264.1 311.2 884.5 3308.8 1619.2 3308.8 2101.6 3057.7

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

A-E

4

+

B-D 2

Core Area Ac = 0.5C(A-E) Core Volume Vc = 2BAC- 2DEC ≈ lc Ac

A-E

4

+

B-D 2

Mean turn length lw

Single section winding

Coil former wall thickness

2B 2D

1 mm

C

Coil for wall th

1 mm

1 mm E

1 mm

(A-E) 2

1 mm

(E-3mm)

1

4

m)} = 2C +(A-E) + 8mm + 0.5π(E-3mm)

a As - single section winding

radius = (E-1mm)

radius = 0.5(E-1m

With coil former: lw = 2π [(E-1mm)/2] + 2 {0.5(A-E) + 2mm} + 2(C+2mm) = π(E-1mm) Without coil former: lw = πE +A-E+2C Winding Area Aw With coil former: Single section Aw = (E-1mm)(2D-2mm) Two section Aw =(2D-2mm)(E-3mm) Winding volume Vw ≈ lwAw

Without coil former: Aw = 2DE

face area of core As,c e surface bottom and top = 2BC + 2(B-D)C = 4BC - 2DC e surface left and right = 2AC 4AB –4DE-2D(A-E)/2*2 –2AD + 2DE = 4AB – 2DE – 2AD

ree terms together –2DC+2AC+4AB-2DE-2AD = 4AB+2AC-2AD-2DE+4BC-2CD

face area of winding As,w tom = (2)(4)(0.25π)(E)^2 + (4)(0.5)(A-E)E + 2CE = E^2(6.3-2) + 2AE + 2CE + 2AE +2CE

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

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

2AC + 8.6DE + 4BC +2.3E2 + 2AE + 2CE

[mm3]

[mm2]

[C/W]

[mW/cm3]

[A/mm2]

[mT]

[watts]

Vw 803.2 2105.9 4285.4 13970.3 11241.7 23935.4 27251.0 162567.7 686006.9 381043.1 778653.3 558956.1 813267.9

As 824 1782 2991 4564 5186 8381 7671 24770 61961 50555 69835 57785 66856

Rθ 161.8 74.8 44.6 29.2 25.7 15.9 17.4 5.4 2.2 2.6 1.9 2.3 2.0

Psp 379 244 191 136 131 104 108 65 38 44 34 41 34

Jrms 5.1 4.1 3.6 3.0 3.0 2.7 2.7 2.1 1.6 1.7 1.5 1.7 1.5

Bpeak 196.4 166.8 152.6 134.4 132.7 121.5 123.4 102.1 83.8 88.3 80.1 86.0 80.6

U_rating 66.7 309.9 722.7 975.1 1888.6 4081.0 2678.5 11507.5 59322.6 61605.1 100049.2 57779.2 72061.3

(A-E) +2(B-D)]

C

Coil former wall thickness

1 mm

1 mm radius = 0.5(E-1mm)

+ 2(C+2mm) = π(E-1mm) + (A-E) +2C + 8mm

Without coil former:

[#]

[nH]

[watts]

Npri 144.60 44.28 27.92 44.02 17.28 12.19 22.34 11.45 6.36 3.22 3.55 4.30 4.59

Lleakage 11412.57 1534.52 684.05 3809.53 336.52 198.64 1030.27 1540.39 132.23 76.85 46.72 236.40 187.90

Power Loss 0.43 0.92 1.55 2.36 2.68 4.34 3.97 12.82 32.06 26.16 36.14 29.90 34.60

coil former

coil former

Ferroxcube

Ferrooxcube

calculated

calculated

bobbin

bobbin

No bobbin

lw

Aw

Lw

Aw

Lw 25.1 39.5 49.5 65.4 68.2 85.8 82.7 178.9 202.5 230.5 230.5 261.1 261.1

30.0 44.3 54.4 70.2 73.0 90.6 87.6 183.8 207.3 235.3 235.3 266.0 266.0

26.8 47.5 78.8 198.9 153.9 264.1 311.2 884.5 3308.8 1619.2 3308.8 2101.6 3057.7

29 48.7

27.4 37.3

No bobbin Aw 43.5 69.1 106.2 241.3 191.5 312.9 363.2 985.5 3475.2 1737.6 3475.2 2245.4 3220.7

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