Ex Parte Ozawa - Page 19




                                                                             3.2. Traces on ceramics substrate                                         
           6                                                                                                                                           
                                                                                We repeat the calculations for traces on typical ceramics              
                                                                             material  (Al2O3)  (thermal  conductivity k=16  W/m-K) and                
                                                                             thickness D=1 mm and 0.5 mm.                                              


                                                                             8                                                                         





           7                                                                                                                                           




                                                                             9                                                                         




           (Continued from previous page)                                                                                                              
           Table 1: Mean temperature of a trace (in 20 degC ambient) as                                                                                
           function  of  electrical  current for  different  PCB scenarios.                                                                            
           Base material of the board is FR4. Parameter is trace width                                                                                 
           from 0.2 mm to 10 mm                                                                                                                        
                                                                             Table 3: Mean temperature of a trace (in 20 degC ambient) as              
               It is clearly seen, that the more copper the board contains,                                                                            
                                                                             function of electrical current for traces on ceramics substrate.          
           the lower is the trace temperature, or, the higher the allowed                                                                              
                                                                             Parameter is trace width from 0.2 mm to 10 mm.                            
           current. If we take a look at scenarios 2,4 and 6, which have                                                                               
           the same copper content,  we  see  also  that  the  thermal                                                                                 
           resistance from the trace  to  the  plane  (i.e.  the  distance)    Scenario    Current I('T=20 K)    Current I('T=20 K)                    
           influences the temperature. To make comparison more                                  w=2 mm                w=10 mm                          
           clearly, the current values of some designs for a t=35 μm            8             8.2 A                 20.5 A                             
           trace of width of 2 mm and 10 mm and temperature rise                9             9.8 A                 23.5 A                             
           'T=20 K are given in Table 2.                                                                                                               
                                                                             Table 4: Calculated current I leading to a mean temperature               
             Scenario     Current I('T=20 K)    Current I('T=20 K)           rise of 'T=20 K for trace widths w=2 mm and 10 mm on                      
                               w=2 mm                w=10 mm                 ceramic PCBs.                                                             
               1             4.0 A                 12.6 A                                                                                              
                                                                             Traces on polyimide film                                                  
               2             5.7 A                 18.7 A                                                                                              
                                                                                Finally, we show the results for traces on a thin (D=0.3               
               3             5.5 A                 17.0 A                    mm) substrate, e.g. a polyimide film (k=0.3 W/m-K).                       
               4             7.4 A                 21.0 A                    Although this is not an exact representation of a flex-circuit,           
               5             8.4 A                 23.6 A                    these  calculations  show  that  the  thinner  the substrate, the         
               6             7.0 A                 20.2 A                    lower is the current-carrying capacity.                                   
               7             7.2 A                 22.6 A                                                                                              

           Table 2: Calculated current I leading to a mean temperature                                                                                 
           rise of 'T=20 K for trace widths w=2 mm and 10 mm for                                                                                       
           different board designs.                                                                                                                    



           Adam, New Correlations Between Electrical Current and …                                      20th IEEE SEMI-THERM Symposium                 


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