Power Supply Design - PFC Boost Inductor

             
Input data Lb= 83.0 uH Inductance    
  Ibpkx= 26.8 Apk Inductor maximum peak current    
  Ibppx= 8.8 App Max peak to peak current    
  Iinn= 12.2 Arms Nom rms Input Current    
  Iblacn= 2.0 Arms Boost Ind nom avgd rms ripple current    
  fpfc= 140 kHz PFC Switching Frequency    
  Icd= 6.0 A/mm2 Current density    
  Smp= 1.3 mm Safety margin, Pri/HF winding, mm    
  Sms= 1.3 mm Safety margin, Sec/LF winding, mm    
  Whm= 7.1 mm Min winding height, mm E42/21/20  
  Wwm= 25.5 mm Min winding width, mm E42/21/20  
  Ht= 20.0 mm Core height or "C" dimension E42/21/20  
  Ltm= 75.5 mm Min turn length E42/21/20  
  le= 98.4 mm Magnetic path length E42/21/20  
  Ae= 237 mm2 Magnetic core area, effective E42/21/20  
  Am= 237 mm2 Magnetic core area, minimum E42/21/20  
  Vm= 23,300 mm3 Magnetic volume E42/21/20  
  ur= 40   u, ungapped core, no DC bias K40  
  Bmax= 1.00 T Maximum flux density @130°C K40  
  uh= 67.0 % Permeability @ Hpk K40  
  ncpfc= 1   Number of core sets    
             
Intermediate Ltm= 75.5 mm Min turn length, ncpfc sets    
data Ltn= 103.9 mm Average turn length, ncpfc sets    
  Aet= 237 mm2 Magnetic core area, effective, ncpfc sets    
  Amt= 237 mm2 Magnetic core area, minimum, ncpfc sets    
  Vmt= 23,300 mm3 Magnetic volume, ncpfc sets    
  Vc= 16,675 mm3 Copper volume    
  Vt= 39,975 mm3 Total inductor volume    
  ALc= 10.9 nH/T2 AL, coil only    
  ALo= 121.1 nH/T2 AL, ungapped core, no DC bias, one set    
  ALot= 121.1 nH/T2 AL, ungapped core, no DC bias, ncpfc sets    
  AL= 81.1 nH/T2 AL, ungapped core, bias @ Hpk, ncpfc sets    
  ALg= 81.1 nH/T2 Required core AL, gapped, bias @ Hpk    
  L0= 11.19 uH Inductance, no cores    
  Lb0= 135.16 uH Zero bias inductance, no gap, test value    
             
Output data Nbmin= 9.4   Minimum Number of turns    
  Nb= 32.0   Number of turns, chosen > 1.2 x Nbmin  
  Bpk= 0.29 T Actual peak flux density OK  
  Gap0= 0.00 mm Core gap, no fringe effect    
  Gap= 0.00 mm Core gap, closer to real    
  dBpk= 48 mT Half of max B peak to peak variation    
  Hpksi= 7,288 A/m Magnetizing Force, SI    
  Hpku= 92 Oe Magnetizing Force, USA    
             
             
  PFC Inductor Core Loss      
             
Intermediate P3= 19 mW/cm3 Philips Ferrite 3F3 material    
data Pml= 137 mW/cm3 Allied Signal MicroLite 245 material    
  Pm60= 127 mW/cm3 Magnetics MPP 60u material    
  Pm125= 222 mW/cm3 Magnetics MPP 125u material    
  Pk= 312 mW/cm3 Magnetics Kool-Mu material    
  Ppl= 391 mW/cm3 Allied Signal PowerLite material    
  Phf= 606 mW/cm3 Magnetics High Flux 60u material    
  P18= 1043 mW/cm3 Micrometals Iron Powder 18 material    
  Rthm= 7.71 °C/W Rth, toroid, open wound, natural convection    
  Kwpfc= 0.79   Nom Avg / Pk Core loss    
             
Output data P3= 0.4 W 3F3    
  Pml= 2.5 W MicroLite 245    
  Pm60= 2.3 W MPP 60u    
  Pm125= 4.1 W MPP 125u    
  Pk= 5.7 W Kool-Mu    
  Ppl= 7.2 W PowerLite    
  Phf= 11.2 W High Flux 60u    
  P18= 19.2 W Iron Powder 18    
  dT3= 3 °C Core Temperature Rise, 3F3    
  dTml= 19 °C Core Temperature Rise, MicroLite 245    
  dTm60= 18 °C Core Temperature Rise, MPP 60u    
  dTm125= 31 °C Core Temperature Rise, MPP 125u    
  dTk= 44 °C Core Temperature Rise, Kool-Mu    
  dTpl= 55 °C Core Temperature Rise, PowerLite    
  dThf= 86 °C Core Temperature Rise, High Flux 60u    
  dT18= 148 °C Core Temperature Rise, Iron Powder 18    
             
             
  PFC Inductor Copper Loss      
             
Intermediate Dpenm= 0.213 mm Penetration depth, mm    
data Dpen= 8.4 mil Penetration depth, mil    
  Sml= 52 mil Safety margin, LF winding, mil    
  Smh= 52 mil Safety margin, HF winding, mil    
  Ww= 1.004 inch Winding width, available    
  Ltl= 4.091 inch Average turn length, LF winding    
  Lth= 4.091 inch Average turn length, HF winding    
  Wal= 0.900 inch Winding width, LF winding    
  Waf= 0.900 inch Winding width, HF winding    
  Dlf1= 3.5 mil Thickness LF winding required by current density    
  Dlfc= 5.0 mil Thickness, LF, chosen    
  Dlf2= 5.7 mil Thickness, LF winding (winding height limited)    
  Alf= 2.90 mm2 Cross section area, LF winding    
  Dhf= 0.714 mm Diameter, HF winding wire x 1  
  Dhfc= 0.127 mm Diameter, HF winding wire, chosen    
  Ahfc= 2.903 mm2 Cross section area, HF winding, chosen    
  Qs= 0.60   Layer thickness/penetration depth, HF winding    
  Pb= 32.0   Number of layers per winding portion    
  Frb= 15.40   Rac/Rdc ratio, HF winding    
  Tc= 125.0 °C Actual copper temperature    
             
Output data Pbicrl= 5.7 W Core Power Loss, Kool-Mu    
  Pgap= 0.0 W Gap related loss    
  Rdclf= 31.77 mOhm DC resistance, low frequency winding    
  Rdchf= 28.62 mOhm DC resistance, high frequency winding    
  Rachf= 460.8 mOhm AC resistance, high frequency winding    
  Pbilfl= 4.8 W Low frequency winding copper loss    
  Pbihfl= 1.8 W High frequency winding copper loss    
  Pbitcpl= 6.6 W Total Copper Loss    
  Pbitl= 12.4 W Inductor total loss    
  Rth= 5.8 °C/W Rth, toroid, open wound, natural convection    
  dT3= 71 °C Temperature Rise, natural convection For comparison only  
             
             
We suggest using class H(180°C) for Power Magnetics (Boost Inductor, Power Transformer and Output Inductor).  
             
The operating core temperature is assumed to be 100°C for core loss calculation.    
Minimum loss would be at 80-90°C.        
Maximum core operating temperature should be <160°C (Tc=200°C-40°C margin).    
             
The accuracy of the formulas for core loss is expected to be ±10%.    
The accuracy of the formulas for temperature rise is expected to be ±30%.    
             
Temperature rise is for natural convection cooling.    
For forced (fan) cooling the temperature rise could be 1/2 to 1/3, depending on airflow.    
             
             
             
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Copyright © 1979-1989 Constantin Darius Livescu    

Comments and suggestions are welcomed. See the full spreadsheet at: ADH2450Deszg.xls

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