环路补偿参数设计-Buck

CompensatorDesign-Voltage-ModeBuck-CCMEnterparametersinshadedcellsPCM1FrequencyCompensationParametersVersion0.2Vin(V)30ErrorAmplifierRevisiondate:25june2018Vout(V)12ReferenceVoltageVref(V)1.25ModulatorLoadCurrentIout(A)4BottomFeedbackDividerRfbb(Ω)2,256D=0.4000SwitchingFrequencyFsw(kHz)100TopFeedbackDividerRfbt(Ω)19,400Rout=3.00SwtoothwavepeakVosc(V)1.25TargetLoopBandwidthFc(kHz)20.00Gdb=-25.2455OutputInductorL(μH)90.0Gp(°)=-156.6050OutputCapacitorCout(μF)336G=18.292OutputCapacitorESR(mΩ)10.0穿越频率(kHz)20.0046.00相位余量(°)601.11781.3546FrequencyCompensationMethodTypeⅢR1(Ω)R2(Ω)R3(Ω)C1(F)C2(F)C3(F)19,400.023,509.7483.21.508E-106.056E-097.161E-09CrossoverFrequency(kHz)20.42PhaseMargin(°)59.70°Frequency(kHz)10000.0GainMargin(dB)100.2极点频率(kHz)fp=零点频率(kHz)fz=原极点频率(kHz)fp0=306090120150180-20020406080101001,00010,000100,0001,000,000Phase(deg)Gain(dB)Frequency(Hz)ErrorAmplifierGain/PhaseVouttoVcomp-90-60-300306090120150-60-40-20020406080100101001,00010,000100,0001,000,000Phase(deg)Gain(dB)Frequency(Hz)ControlLoopGain/Phase-180-150-120-90-60-300-60-40-2002040101001,00010,000100,0001,000,000Phase(deg)Gain(dB)Frequency(Hz)ModulatorGain/PhaseVcomptoVoutGain_10Hz(dB)ErrorErrorPmod1ModulatorModulatorAmplifierAmplifierLoopLoopFrequencyFindModulatorLoop(10Hz)frequencyfrequencyGainPhaseGainPhaseGainPhaseIncrementCrossoverFind0°PhaseGain(Hz)(rad/sec)(dB)(deg)(dB)(deg)(dB)(deg)FromFswFrequencyFrequency(deg)(dB)1.00E+006.28E+0027.60.062.690.190.290.160.01000000010000000#DIV/0!261.3484731.02E+006.43E+0027.60.062.490.190.090.159.91000000010000000#DIV/0!260.9484631.05E+006.58E+0027.60.062.290.189.890.159.81000000010000000#DIV/0!260.5484521.07E+006.73E+0027.60.062.090.189.690.159.71000000010000000#DIV/0!260.1484411.10E+006.89E+0027.60.061.890.189.490.159.61000000010000000#DIV/0!259.748431.12E+007.05E+0027.60.061.690.189.290.159.51000000010000000#DIV/0!259.3484191.15E+007.21E+0027.60.061.490.189.090.159.41000000010000000#DIV/0!258.9484071.17E+007.38E+0027.60.061.290.188.890.159.31000000010000000#DIV/0!258.5483951.20E+007.55E+0027.60.061.090.188.690.159.21000000010000000#DIV/0!258.148383调节器Vo/Vc绘图参数Ron=0包括电感电阻在内的总串联电阻Rd=0resistanceRl,senseresistorRs,MOSFETRonanddiodeRd.Rl=0ForsynchronousdesignsuseRdforthelow-sideMOSFETRon.Rdc=19401.250wz=297,619wd=33333wlc=1.74E-04Version0.2CCM电压模式Buck补偿.25june2018.Ifthisfunctionisnotavailable,andreturnsthe#NAME?error,1.此文档是在TI设计工具的基础上做了一些修改.2.当前功率级电路只列举了Buck电压模式，后续将持续加入其它模型.3.此方法相对于KFactor法更加灵活。4.修正公式中将Vosc错用为VrefG=P=Boost=K=KFactor2-200204060801001201,00010,000100,0001,000,000Gain_10Hz(dB)Frequency_fp(Hz)极点选取参考Kω1s1Ksω1GGCC)S(EADLCZZCOssssVoscVinvv2)(11ˆˆzDLCZMODMODjjVoscVinPG211COZRC1ω)5.0Dm(π1QCSLDONDCRRDRDRRLRoutDLCOUTLC1KGωgKCCmFBHFUseequationsfromErrorAmpVc/Vo'PlotParametersgc=Pc(θc)=Fz(Zero)Frequency(Hz)-39764.98-39764.86-39764.74-39764.62-39764.5-39764.37-39764.24-39764.11-39763.97COMPCCOMPCωKRCbwωKR1ωKGgKCCEACmFBHFCEA2CmFB2COMPωKR1KωKGgK1KC23COMP1COMPCOMP2COMPCOMP21COMPCOMPOCkkCkCRskCRskCRs1vˆvˆ23COMP1COMPCOMP22COMPCOMP1COMPCOMPCCCkωkωCkωCRjkωCRkωCRj1)θ(SINj)θ(COSgimRG1(mod)COMPCOHFRRCCErrorAmpVc/Vo'PlotParametersfp0=1354.586fz1=1117.794fz2=1117.794fp1=46000fp2=46000TypeⅡTypeⅢ2Version0.2CCM电压模式Buck补偿.25june2018.Ifthisfunctionisnotavailable,andreturnsthe#NAME?error,1.此文档是在TI设计工具的基础上做了一些修改.2.当前功率级电路只列举了Buck电压模式，后续将持续加入其它模型.3.此方法相对于KFactor法更加灵活。4.修正公式中将Vosc错用为VrefKFactor18.29225.2dBG=1/(ModulatorGain)0.0degreesP=ModulatorPhase-30.0degreesBoost=M-P-900.577K=TAN(Boost/2+45)KFactor2Kω1s1Ksω1GGCC)S(EA1KCC2HFCOMPCOMPCCOMPCωKRKGωgKCCmFBHF2211011111ˆˆpZpZpOCsssssvv2211011111pZpZpEAEAjjjjjPGHFCCZEAHFVMEAEAωωj1ωωj1kAPGUseequationsfromErrorAmpVc/Vo'PlotParametersMethod1Or:Method218.292k1c=#DIV/0!kra=#DIV/0!kxa=#DIV/0!1.047k2c=#DIV/0!krb=#DIV/0!kxb=#DIV/0!k3c=#DIV/0!krc=#DIV/0!kxc=#DIV/0!COMPCCOMPCωKRXARBRAXBXARCRAXCCOMPkkkkkkkkCXARCRAXCRBXCXBRCCOMPkkkkkkkkRCbwωKR1ωKGgKCCEACmFBHFCEA2CmFB2COMPωKR1KωKGgK1KC23COMP1COMPCOMP2COMPCOMP21COMPCOMPOCkkCkCRskCRskCRs1vˆvˆ23COMP1COMPCOMP22COMPCOMP1COMPCOMPCCCkωkωCkωCRjkωCRkωCRj1)θ(SINj)θ(COSgimRG1(mod)COMPCCOMPRfπ210CCOMPCOHFRRCC100CCCOMPHFEAmOLRgABWmBWCgω(mod)GKgCfπ2RmFBmOCCOMP