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LLC谐振电源设计举例

Application for single AC stage input     
 Vin 220 Vac  311.08
     
Vin range Vinnom 390 Vdc                                                                                                    正常输入电压
输入电压参数 Vinmin 360 Vdc =Vinnom1*1.414*0.9*0.85                                               最小输入电压
 Vinmax 420 Vdc =Vinnom1*1.414*1.1                                                                       最大输入电压
     
Output information Vo 12 Vdc                                                                                       输出电压
输出参数 Io 18.5 A                                                                                                     输出电流
 Vf 0.56 Vdc                                                                                                     输出二极管的正向压降
 Po 232.36 W =(Vo+Vf)*Io                                                                                      输出功率
     
Frequency information Fr 100 KHz                                                                         谐振网络的谐振频率
normalized frequency  Xmax 1.5   
开关频率参数 Fmax 150 KHz =Xmax*Fr                                                                                     最大工作频率
 Fstart 250 KHz =Fr*2.5                                                                                                   起机频率
     
HB midpoint estimated parasitic capacitance Coss 80 pF  
     
"Cstray an additional contribution due to transformer's windings
and the layout" Cstray 10 pF  
     
Minimum dead time Td 200 nS  最小死区时间
     
conversion ratio  Mnom 0.032205128  =(Vo+Vf)/Vinnom                                                         正常增益
增益 Mmin 0.029904762  =(Vo+Vf)/Vinmax                                                                      最小增益
 Mmax 0.034888889  =(Vo+Vf)/Vinmin                                                                      最大增益
     
     
a at nominal voltage a 15.52547771  =(0.9~1.1)/2/Mnom                                          等效圈比
     
Calculate k so that the converter will work at xmax at zero load and max. input voltage k 7.222222222  =2*a*Mmin/(1-2*a*Mmin)*(1-1/Xmax^2)
 Kmax 10  
 Knom 7.222222222  =MIN(k,Kmax)
physical turn ratio Nn 14.55076378  =a*(knom/(1+knom))^0.5
"Qmax1, to stay in the ZVS
region at min. Vin and max. load" Qmax1 0.859609822  =1/(knom*2*a*Mmax)*(((2*a*Mmax)^2)/((2*nn*Mmax)^2-1)+knom)^0.5
effective load resistance: Re 121.0824771  =8*a^2*Vo/(3.1415927^2*Io)
"Qmax2, to ensure ZVS at zero
load:" Qmax2 0.618741429  =(3.1415927/4)*(1/((1+knom)*Xmax))*(Td*1000)/(Re*(2*Coss+Cstray))
Choose Qs, such that Qs =< min(Qmax1, Qmax2) Qs 0.587804357  =0.95*MIN(Qmax1,Qmax2)
Xmin work at min.input voltage and max. load: Xmin 0.939648464  =(1/(1+knom*(1-(1/(2*nn*Mmax)^(1+(Qs/Qmax1)^4)))))^0.5
    
Min switching frequency Fmin 93.96484642 KHz =Fr*Xmin

Resonant tank calculation Zr 71.17280759  =Re*Qs
 Cs 22.36176233 nF =10^6/(2*3.1415927*Fr*Zr)
 Ls 113.2750397 uH =Zr*1000/(2*3.1415927*Fr)
 Lp 818.0975093 uH =k*Ls

Parameters of L6599 Cf 470 pF 
 Rfmin 7.547714759 Kohm =10^6/(3*Cf*Fmin)
 Rfmax 12.65669518 Kohm =Rfmin/(Fmax/Fmin-1)
 Rss 4.545256898 Kohm =Rfmin/(Fstart/Fmin-1)
 Css 0.6600287 uF =3/Rss

 0.464285714   
 0.439189189   

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