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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