Power Supply Design - Output Inductor

             
Input data Lo= 0.76 uH Inductance    
  Iopkx= 97.7 Apk Inductor maximum peak current    
  Ioppx= 15.3 App Max peak to peak current    
  Iodcx= 90.0 Arms Max avg current    
  Ioacx= 4.4 Arms Max AC rms ripple current    
  fdc= 360 kHz Frequency for B variation    
  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 E42/21/15  
  Wwm= 25.5 mm Min winding width, mm E42/21/15  
  Ht= 15.4 mm Core height or "C" dimension E42/21/15  
  Ltm= 66.5 mm Min turn length E42/21/15  
  le= 98.4 mm Magnetic path length E42/21/15  
  Ae= 183 mm2 Magnetic core area, effective E42/21/15  
  Am= 183 mm2 Magnetic core area, minimum E42/21/15  
  Vm= 18,000 mm3 Magnetic volume E42/21/15  
  ur= 40   u, ungapped core, no DC bias K40  
  Bmax= 1.00 T Maximum flux density K40  
  uh= 90.5 % Permeability @ Hpk K40  
  ncoin= 1   Number of core sets    
             
Intermediate Ltm= 66.5 mm Min turn length, ncoin sets    
data Ltn= 94.9 mm Average turn length, ncoin sets    
  Aet= 183 mm2 Magnetic core area, effective, ncoin sets    
  Amt= 183 mm2 Magnetic core area, minimum, ncoin sets    
  Vmt= 18,000 mm3 Magnetic volume, ncoin sets    
  Vc= 15,021 mm3 Copper volume    
  Vt= 33,021 mm3 Total inductor volume    
  ALc= 7.9 nH/T2 AL, coil only    
  ALo= 93 nH/T2 AL, ungapped core, no DC bias, one set    
  ALot= 93 nH/T2 AL, ungapped core, no DC bias, ncoin sets    
  AL= 85 nH/T2 AL, ungapped core, bias @ Hpk, ncoin sets    
  ALg= 84.7 nH/T2 Required core AL, gapped, bias @ Hpk    
  L0= 0.07 uH Inductance, no cores    
  Lo0= 0.91 uH Zero bias inductance, no gap, test value    
             
Output data Nbmin= 0.4   Minimum Number of turns    
  Nb= 3.0   Number of turns, chosen > 1.2 x Nbmin  
  Bpk= 0.14 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= 11 mT Half of max B peak to peak variation    
  Hpksi= 2,744 A/m Magnetizing Force, SI    
  Hpku= 34 Oe Magnetizing Force, USA    
             
             
  Output Inductor Core Loss      
             
Intermediate P3= 2 mW/cm3 Philips Ferrite 3F3 material    
data Pml= 9 mW/cm3 Allied Signal MicroLite 245 material    
  Pm60= 16 mW/cm3 Magnetics MPP 60u material    
  Pm125= 26 mW/cm3 Magnetics MPP 125u material    
  Pk= 61 mW/cm3 Magnetics Kool-Mu material    
  Ppl= 117 mW/cm3 Allied Signal PowerLite material    
  Phf= 41 mW/cm3 Magnetics High Flux 60u material    
  P18= 117 mW/cm3 Micrometals Iron Powder 18 material    
  Rthm= 8.9 °C/W Rth, toroid, open wound, natural convection    
             
Output data P3= 0.0 W 3F3    
  Pml= 0.2 W MicroLite 245    
  Pm60= 0.3 W MPP 60u    
  Pm125= 0.5 W MPP 125u    
  Pk= 1.1 W Kool-Mu    
  Ppl= 2.1 W PowerLite    
  Phf= 0.7 W High Flux 60u    
  P18= 2.1 W Iron Powder 18    
  dT3= 0 °C Core Temperature Rise, 3F3    
  dTml= 1 °C Core Temperature Rise, MicroLite 245    
  dTm60= 3 °C Core Temperature Rise, MPP 60u    
  dTm125= 4 °C Core Temperature Rise, MPP 125u    
  dTk= 10 °C Core Temperature Rise, Kool-Mu    
  dTpl= 19 °C Core Temperature Rise, PowerLite    
  dThf= 7 °C Core Temperature Rise, High Flux 60    
  dT18= 19 °C Core Temperature Rise, Iron Powder 18    
             
             
  Output Inductor Copper Loss    
             
Intermediate Dpenm= 0.133 mm Penetration depth, mm    
data Dpen= 5.2 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= 3.736 inch Average turn length, LF winding    
  Lth= 3.736 inch Average turn length, HF winding    
  Wal= 0.900 inch Winding width, LF winding    
  Waf= 0.900 inch Winding width, HF winding    
  Dlf1= 25.8 mil Thickness LF winding,required by current density    
  Dlfc= 60.0 mil Thickness, LF, chosen    
  Dlf2= 90.2 mil Thickness, LF winding (winding height limited)    
  Alf= 34.84 mm2 Cross section area, LF winding    
  Dhf= 7.620 mm Diameter, HF winding wire x 1  
  Dhfc= 1.524 mm Diameter, HF winding wire, chosen    
  Ahfc= 34.84 mm2 Cross section area, HF winding, chosen    
  Qs= 11.49   Layer thickness/penetration depth, HF winding    
  Po= 3.0   Number of layers per winding portion    
  Fro= 72.79   Rac/Rdc ratio, HF winding    
  Tc= 125.0 °C Actual copper temperature    
             
Output data Poicrl= 1.1 W Core Power Loss, Kool-Mu    
  Pgap= 0.0 W Gap related loss    
  Rdclf= 0.2 mOhm DC resistance, low frequency winding    
  Rdchf= 0.2 mOhm DC resistance, high frequency winding    
  Rachf= 14.9 mOhm AC resistance, high frequency winding    
  Poilfl= 1.7 W Low frequency winding copper loss    
  Poihfl= 0.3 W High frequency winding copper loss    
  Poitcpl= 1.9 W Total Copper Loss    
  Poitl= 3.0 W Inductor total loss    
  Rth= 6.4 °C/W Rth, toroid, open wound, natural convection    
  dT3= 19 °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.    
             
             
             
SMPS Power Supplies, Inc.        
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Copyright © 1990-1997 LCD Consulting      
Copyright © 1979-1989 Constantin Darius Livescu    

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

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