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AN1673 Datasheet(PDF) 18 Page - STMicroelectronics |
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AN1673 Datasheet(HTML) 18 Page - STMicroelectronics |
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18 / 24 page ![]() AN1673 APPLICATION NOTE 18/24 The design of the winding starts calculating the minimum requested primary turns number. For turns number calculation: [16] ; NP ≥ 50 Where: Vin(min) = 360V ; ∆B = 0.230T (*) ; Ae = 0.6cm 2 (*) In the case AP is defined by the AP1, ∆B is calculated by the formula [17]. [17] where: ; Pt = 1.3 · AP10.37 Instead, in the case that AP should by AP2, ∆Bmax will be fixed by the designer (up to 0.400Tesla). Choose primary turns number Np = 60 The turn's (n = Np/Ns) ratio will define the secondary winding turns number. [18] ; n = 10 Where: duty=0.5; Choose n = 12*; Secondary turns Ns = 5** * The ratio n can be significantly higher than [18] because the Lmag effect ** The secondary winding is realized with Ns = 5+5 turns because of the center-tapped solution. In order to limit skin effect (and the inherent power losses), the Litz wire solution has been adopted for the windings: – 20 wires 0.1mm each for the primary winding (=> 0.157 mm2 cross section) – 60 wires 0.1mm each at the secondary winding (=> 0.47mm2 cross section) As the primary and secondary windings have been defined, we need fix the inductances of the transformer. The formula [19] allows calculating, with good approximation, the value of the primary inductance in func- tion of ferrite set and the gap length, the ferrite's set parameters and the primary turns number. [19] Where: µ0 = 4 · π · 10-7 is the absolute permeability. µr is the relative permeability (e.g. 2000) le is the magnetic path length, (in cm). Ae is the effective area (in cm2). l_gap is the gap size (in mm). The calculated primary inductance will be in mH. In our case the L=0.85mH. N P V in min () 10 4 ⋅ 8B ∆ ƒ sw Ae ⋅⋅ ⋅ ------------------------------------------ = B ∆ Pcv kh ƒ sw Ke ƒ sw 2 ⋅ + ⋅ ---------------------------------------------------- 1 2.4 -------- 0.230T == Pcv Pt 2Ve ⋅ --------------- = n V in min () duty ⋅ V o V ƒ + -------------------------------------- = L 10 1 – µ 0 ------------ le µ r Ae ⋅ ----------------- 0.1 l_gap ⋅ Ae 0.2 l_gap π 4 --- ⋅⋅ + 2 -------------------------------------------------------------- ⋅ ⋅ 1 – Np 2 ⋅ = |
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