环路补偿很容易

ClicktoeditMastertitlestyle环路补偿很容易1ClicktoeditMastertitlestyle课程的目的确定功率级特性9确定功率级特性9说明补偿电流模式9说明TypeII补偿–电流模式99阐述TypeIII补偿–电压模式9补偿电流模式降压9找出交越频率和相位裕量9使用Excel补偿器设计工具92ClicktoeditMastertitlestyle电源转换器拓扑降压/正激式•降压/隔离正激式升压•升压降压-升压/反激式•反转极性/隔离反激式3ClicktoeditMastertitlestyle电源转换器拓扑降压/正激式正激式DVVINOUT⋅=升压SNDVVPSINOUTNDVV⋅⋅=降压-升压/反激式反激式4ClicktoeditMastertitlestyle电源转换器拓扑降压/正激式正激式升压D11VVINOUT−⋅=降压-升压/反激式反激式5ClicktoeditMastertitlestyle电源转换器拓扑降压/正激式D正激式D1DVVINOUT−⋅=升压PSINOUTNND1DVV⋅−⋅=降压-升压/反激式反激式6ClicktoeditMastertitlestyle极点/零点回顾单个极点单个零点反相零点(InvertedZero)反相零点(InvertedZero)右半平面零点共轭复极点7ClicktoeditMastertitlestyle单个极点20)-20020ITUDE(dB)-60-40101001000100001000001000000MAGNIs11)s(H+=101001,00010,000100,0001,000,000FREQUENCY(Hz)Pω1+045E(°)135-90-45PHASE-135101001,00010,000100,0001,000,000FREQUENCY(Hz)8ClicktoeditMastertitlestyle单个零点60)204060ITUDE(dB)-200101001000100001000001000000MAGNI101001,00010,000100,0001,000,000FREQUENCY(Hz)ωs1)(HZ+90135E(°)1)s(HZ=45045PHASE-45101001,00010,000100,0001,000,000FREQUENCY(Hz)9ClicktoeditMastertitlestyle反相零点60)204060ITUDE(dB)-200101001000100001000001000000MAGNI101001,00010,000100,0001,000,000FREQUENCY(Hz)sω1)s(HZ+045E(°)1s)s(H=135-90-45PHASE-135101001,00010,000100,0001,000,000FREQUENCY(Hz)10ClicktoeditMastertitlestyle右半平面零点60)204060ITUDE(dB)-200101001000100001000001000000MAGNI101001,00010,000100,0001,000,000FREQUENCY(Hz)ωs1)(HZ−045E(°)1)s(HZ=135-90-45PHASE-135101001,00010,000100,0001,000,000FREQUENCY(Hz)11ClicktoeditMastertitlestyle共轭复极点20)-20020TUDE(dB)Q=2Q=1Q=05-60-40101001000100001000001000000MAGNIQ=0.5Q=0.252ss11)s(H++=101001,00010,000100,0001,000,000FREQUENCY(Hz)2OOOωωQ1+⋅+090E(°)Q=2Q=1270-180-90PHASEQ=1Q=0.5Q=0.25-270101001,00010,000100,0001,000,000FREQUENCY(Hz)12ClicktoeditMastertitlestyle控制环路基础知识环路补偿介绍理想的控制环路理想的控制环路实用的反馈理论13ClicktoeditMastertitlestyle环路补偿介绍环路增益是以反馈环路为中心的增益为中心的增益，由误差放大器增益和功率级增益部分组成。14ClicktoeditMastertitlestyle理想的控制环路8018060B)135°)2040AIN(dB4590HASE(°020GA045PH-20101001,00010,000100,0001,000,000-45FREQUENCY(Hz)15ClicktoeditMastertitlestyle实用的反馈理论交越频率相位裕量•控制环路的带宽决定了环路对于某种瞬态状况的响应速度交越频率•需要充足的相位裕量以避免发生振荡•最佳的相位裕量是52°相位裕量•通常都会优先选择较高的交越频率，但存在着实际的限制。经验法则是将其设定为开关频率的1/5至1/10最佳的相位裕量是•低相位裕量将导致欠阻尼的系统响应•较高的相位裕量则导致过阻尼的系统响应其设定为开关频率的1/5至1/10•0°（增益裕量）时的衰减以及开关频率下的衰减也是很重要的响应16ClicktoeditMastertitlestyle功率级回顾电压模式降压电流模式降压电流模式降压电流模式升压电流模式降压-升压17ClicktoeditMastertitlestyle电压模式降压功率级402040π2ωO⋅VCA-200AIN(dB)-4020GAπ2ωZ⋅-60101001,00010,000100,0001,000,000FREQUENCY(Hz)π2⋅OUTOCL1ω⋅=RAMPINVCVVA=OUTZCR1ω=RAMPZOUTωs1Avˆ+OUTOLRQ=OUTESRCR⋅2O2OOZVCCOUTωsωQs1Avˆ+⋅+⋅=OUTCL18ClicktoeditMastertitlestyle电流模式降压功率级402040π2ωP⋅VCA-200AIN(dB)π2ωL⋅-4020GAπ2ωZ⋅Σ-60101001,00010,000100,0001,000,000FREQUENCY(Hz)iOUTVCRRA≈OUTOUTPRC1ω⋅≈SLOPEINmVVK≈+ZOUTωs1AvˆOUTESRZCR1ω⋅=LRKωimL⋅=⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛+⋅≈LPZVCCOUTωs1ωs1Avˆ19ClicktoeditMastertitlestyle电流模式升压功率级402040π2ωP⋅VCAωL-200AIN(dB)ωZπ2⋅ωRΣ-4020GAπ2⋅π2⋅-60101001,00010,000100,0001,000,000FREQUENCY(Hz)iOUTVCR2DRA⋅′⋅≈LDRω2OUTR′⋅=OUTOUTPRC2ω⋅≈SLOPEOUTmVVK≈⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛−ZROUTωs1ωs1vˆOUTESRZCR1ω⋅=LRKωimL⋅=⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛+⎠⎝⎠⎝⋅≈LPZRVCCOUTωs1ωs1ωωAvˆv20ClicktoeditMastertitlestyle电流模式降压-升压功率级40VIN2040LLogicπ2ωP⋅VCAωL-200AIN(dB)COUTRESRROUT-VOUT+RiPWMωZπ2⋅ωR-4020GAΣ++VC+-VSLOPEPWMπ2⋅π2⋅-60101001,00010,000100,0001,000,000FREQUENCY(Hz)()iOUTVCRD1DRA⋅+′⋅≈DLDRω2OUTR⋅′⋅=OUTOUTPRCD1ω⋅+≈SLOPEOUTINmVVVK+≈⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛−ZROUTωs1ωs1vˆOUTESRZCR1ω⋅=LRKωimL⋅=⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛+⎠⎝⎠⎝⋅≈LPZRVCCOUTωs1ωs1ωωAvˆv21ClicktoeditMastertitlestyle误差放大器回顾TypeI误差放大器TypeII误差放大器TypeII误差放大器TypeII跨导放大器TypeIII误差放大器22ClicktoeditMastertitlestyleTypeI误差放大器60V′4060RVOUT′CCOMP020AIN(dB)RFBTRFBBVREFVFB+-VC-200GAπ2ωEA⋅-40101001,00010,000100,0001,000,000FREQUENCY(Hz)1COMPFBTEACR1ω⋅=ωvˆEACsvˆEAOUTC−≈′23ClicktoeditMastertitlestyleTypeII误差放大器60406020AIN(dB)ωZEAVMAπ2ωHF⋅0GAπ2⋅-20101001,00010,000100,0001,000,000FREQUENCY(Hz)1FBTCOMPVMRRA≈COMPCOMPZEACR1ω⋅=ZEACsω1vˆ+HFCR1ω≈HFCOMPCC:假设HFVMOUTCωs1sAvˆv+⋅−≈′HFCOMPHFCR⋅24ClicktoeditMastertitlestyleTypeII跨导放大器60VOUT′4060-VCVFBRFBT20AIN(dB)ωZEAVMAπ2ωHF⋅+RCOMPCCOMPVCREAgmRFBBVREFCHF0GAπ2⋅CCOMP-20101001,00010,000100,0001,000,000FREQUENCY(Hz)1ωCOMPmFBVMRgKA⋅⋅=FBBRKCOMPCOMPZEACRω⋅=EAmOLRgA⋅=FBTFBBFBBFBRRK+=ZEACsω1vˆ+HFCR1ω⋅≈COMPEAHFCOMPRRCC&:假设HFVMOUTCωs1sAvˆv+⋅−≈′HFCOMPCR⋅25ClicktoeditMastertitlestyleTypeIII误差放大器40602040AIN(dB)π2ωHF⋅π2ωFP⋅0GAπ2ωZEA⋅VMAπ2ωFZ⋅-20101001,00010,000100,0001,000,000FREQUENCY(Hz)11FBTCOMPVMRRA≈π2π2COMPCOMPZEACR1ω⋅=FFFBTFZCR1ω⋅≈FPCR1ω=HFCR1ω≈⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛+FZZEACωs1sω1vˆFFFFFPCR⋅HFCOMPHFCR⋅⎟⎟⎠⎞⎜⎜⎝⎛+⋅⎟⎟⎠⎞⎜⎜⎝⎛+⎠⎝⎠⎝⋅−=′HFFPFZVMOUTCωs1ωs1ωsAvˆvFFFBTHFCOMPRRCC&:假设26ClicktoeditMastertitlestyle开关稳压器补偿电流模式降压TII补偿电流模式降压–TypeII补偿电流模式升压–TypeII补偿电流模式降压-升压–TypeII补偿模yp补电模式降补偿电压模式降压–TypeII补偿电压模式降压–TypeIII补偿27ClicktoeditMastertitlestyle电流模式降压模型输出滤波器调制器误差放大器INOUTVVD=Σ误差放大器INOUTINVVVD−=′28ClicktoeditMastertitlestyle电流模式降压TypeII补偿•选择一个大的RFBT阻值，介于2kΩ和200kΩ之间择个FBT值介•找出调制器跨导（单位：A/V）•选择一个目标带宽，通常为FSW/10SW•设定中频段增益AVM以实现目标带宽：ωC=2·π·FC•设定ωZEA=1/10目标交越频率：ωZEA=ωC/10•设定ωHF=ESR零点频率：ωHF=ωZ(mod)GCωAmOCVM⋅=imR1(mod)G=FBTVMCOMPRAR⋅=FBmVMCOMPKgAR⋅=或：COMPHFHFRω1C⋅=COMPZEACO