"1. Choose the design parameters ? = ? = 30? ,? = 24? ? = 48? , ? = 6? , ? = 5? , ? = 0.3??? = 0.003? ??? ? ???? ??? ? ??? ? 2. Design a buck converter operating in the continuous conduction mode at a switching frequencyof 100khz and ? = 0.1?? a) Determine the values of D, ? , ? , and ?? ?? ? ?? b)Using ? andrequired, determine the values of L and C for this case/ ? ??? ? ??? c) Determine the transfer function of the combined filter and loadd) Calculate the resonant frequency of the filtere)Choose a crossover frequency where the phase reaches a minimum or crosses -180 and isatleast twice the value of the filter resonant frequency. Determine the values of the gainand phase at that location.f) Determine the ? values of ? and PMW and use them to find a ? value of the error? ?? ? 0amplifier to get a 1? magnitude of 0 at the chosen crossover frequency.? 0 g) Using the filter/load at the crossover frequency and the desired phase margin of 60 ,determine the phase compensation required of the error/compensation amplifier??1. Choose the design parameters ? = ? = 30? ,? = 24? ? = 48? , ? = 6? , ? = 5? , ? = 0.3??? = 0.003? ??? ? ???? ??? ? ??? ? 2. Design a buck converter operating in the continuous conduction mode at a switching frequencyof 100khz and ? = 0.1?? a) Determine the values of D, ? , ? , and ?? ?? ? ? 24 ??? ? = = = 0.8? 30 ? 24 ??? ? = = =1 2 ?? ? 2 ? ? 5 ??? ? = = = 0.2083?? ? 24 ??? ? = 0 since ? =?? ? ? ?? b) Using ? andrequired, determine the values of L and C for this case/ ? ??? ? ??? ? =2A?? = 0.3 × 2=0.6? ??? ?? = 0.003× 24 = 0.0721 1 ? = = = 0.00001???? ? 100000 ? (? -? ) × ? × ? ? ? =? ? ??? (30-24)×0.8×0.00001 L= = 80µH0.6 ?? ? ? × ? ?? =8? ?? ? ? × ? C=8?? 0.6×0.00001 =8×0.072 = 10.4µFc) Determine the transfer function of the combined filter and load ? ??? TF=? ? ? // ? ? == ? 2 ? + ? // ? ? ?? + ? +1 ? ?? ??? ?? ?? ??d) Calculate the resonant frequency of the filter. 1 1 ? == =5.517KHz?? -12 2? ?? 2? v10.4×80×10 v e) Choose a crossover frequency where the phase reaches a minimum or crosses -180 andis atleast twice the value of the filter resonant frequency. Determine the values of thegain and phase at that location.1 1 = ? = × 100? h? =10khz? 10 10 f) Determine the ? values of ? and PMW and use them to find a ? value of the error? ?? ? 0amplifier to get a 1? magnitude of 0 at the chosen crossover frequency.? For ??? =20log 0.2083=-13.626210 For PMW1 1 PMW= = =0.1667? 6 ???? =20 log 0.1667=-15.561310 0 g) Using the filter/load at the crossover frequency and the desired phase margin of 60 ,determine the phase compensation required of the error/compensation amplifier. Use????? +90 2 k=[tan( )]h 1 = ? ? = 12.5khz????????? ? 8 ? =6.12Khz?? ?????? ???3? ? 1 ? = = 5 .1 M ???? 2? ×3? ?×10.4µ? ? < ? < ? /2 < ??? ? ? ??? 0 1-??? 60 ? =12.5KHz. v=3.35KHz? 2 0 1+??? 60 0 1+??? 60 v ? =12.5KHz. =46.65KHz? 2 0 1-??? 60 ? =0.5×13.35=1.675KHz? 1 ? =0.5×46.65=23.325KHz? 3 ??h) Use the k value obatained to determine R and C values of the type III compensationcircuit starting with R1=1k,1 ? = -1=5 5 0 ?? 1 2? ×2.2×46.65 1 ? = -550= 21.04K ?? 1 2? ×2.2 ×3.35 1 ? = =4.5nF? 1 2? ×21.04? ×1.675 1 ? = =32.43nF? 2 2? ×21? ×23.325? ? ? ??? ??? ?? ???"