文档名：峰值电流控制Buck变换器高频建模及结合遗传算法的控制器优化设计
摘要：峰值电流控制Buck变换器广泛应用于电源管理芯片.小信号建模是设计其控制器的关键.现有模型忽略电压外环引入的稳态控制信号纹波与小信号扰动延拓频谱对系统的影响,在高控制带宽场景下失效,从而无法指导控制器的设计.该文首先指出控制器设计决定了控制信号纹波类型,进而研究了可导型纹波对系统建模的影响;然后综合考虑电压、电流环导致的频谱耦合,得到精确的高频模型;最后基于高频模型,提出一种结合遗传算法的高带宽控制器优化设计方法.仿真与实验证明了该模型的精确性与设计方法的优越性.
Abstract：Peakcurrent-model(PCM)BuckconvertersarewidelyemployedinpowermanagementICs.Asmicroprocessorsintegratecontinuously,high-bandwidthdesignhasbecomearequisiteforthefront-endBuckconverters.Accuratesmall-signalmodelingiscrucialforanalyzingsystemstabilityanddesigninghigh-performancecontrollers.Existingmodelsneglectcontrolsignalripples(CSRs)insteady-stateandextended-spectrumundersmall-signalperturbationtransferredbyvoltage-loop,whichmakessignificanterrorsunderhighcontrolbandwidthandfailstoguidecontrollerdesign.Toportraythehigh-frequencycharacteristicsofthesystemanddirectthedesignofhigh-bandwidthcontrollers,thispaperproposedahigh-frequencymodelforPCMBuckconverters.Anoptimalcontrollerdesignmethodwasconductedbasedontheproposedmodelandgeneticalgorithm.Firstly,thispaperemphasizedthatdifferenttypesofCSRsareinitiatedbydifferenttypesofcontrollers.Subsequently,influencescausedbydifferentiableCSRswereanalyzed,whereintheimpactofdifferentiableripplesonthesystemcanbeequivalenttothederivativevaluesatcrossingpoints.Thespectrumcouplingfromthevoltage-loopandcurrent-loopwasincorporated,andthemaximumfrequencypointcorrespondingto-20dBamplitudeofthesingle-frequencyloopgainwastakenastheselectionboundaryoftheextendedspectrumtosimplifythemodel.Therebyanaccuratesmall-signalmodelwasobtained.Analyticalexpressionsforloopgain,audiosusceptibility,inputimpedance,andoutputimpedancewerederivedbasedonmatrixoperations.Lastly,basedontheproposedhigh-frequencymodel,anefficientoptimizationdesignofhigh-bandwidthcontrollerswasconductedbycombininggeneticalgorithm.Toasserttheaccuracyoftheproposedmodelandtheeffectivenessoftheoptimalcontrollerdesignmethod,thispaperdevisedtwocasesandconductedsimulationsandexperimentalverifications.ForcaseⅠ,theloopgainpredictedbytheproposedmodel(Bandwidth:222.5kHz,Phasemargin:29.9°)matcheswellwiththesimulatedresults(Bandwidth:224.3kHz,Phasemargin:29.8°).ForcaseⅡ,theloopgainpredictedbytheproposedmodel(Bandwidth:161.9kHz,Phasemargin:13.1°)alsomatcheswellwiththesimulatedresults(Bandwidth:162.0kHz,Phasemargin:12.8°).TheparametersofcaseⅡwereleveragedtoconstructanexperimentalplatform.TheloopgainofthesystemismeasuredusingaVenableFrequencyAnalyzer.Theexperimentalresults(Bandwidth:162.5kHz,Phasemargin:16.4°)furtherconfirmtheaccuracyoftheproposedmodel.Deviationsbetweenthemaremainlyduetoparametervariationsandmeasurementerrorsintherealsystem.Thesimulation-basedgeneticalgorithmoptimizationmethodinSimulinkwasredonetoillustratetheefficiencyoftheproposedoptimalcontrollerdesignmethod.Toachieveafaircomparison,thegeneticalgorithmoptimizationcalculationwasalsocarriedoutinMatlab,andevenwiththesamecomputersettings,caseⅠtakesupto4.8handcaseⅡtakesupto3.8h.Theproposedoptimalcontrollerdesignmethodtakesonly55sand53srespectively,whicharehundredsoftimesmoreefficient,showcasingitseffectiveness.Comparedwiththetime-domainsimulation-basedparametersearchmethod,theabilitytoattainaquantitativestabilitymargindesignbysettingLpm_limitisanotheradvantagebyutilizingthepreciseanalyticalmodel.Simulationandexperimentalresultsdemonstratethattheproposedhigh-frequencymodelisaccurateenoughtoportrayfrequencydomaincharacteristicsandforecastsystemstabilityprecisely,comparedwithexistingmodels.Additionally,theproposedoptimalcontrollerdesignmethodenablesfastandefficientimplementationofhigh-bandwidthcontrollerdesigns.Theproposedhigh-frequencymodelbelongstoananalyticalmodelandsignificantlyreducesthecomputationalburdenoncomputers.Combiningitwithageneticalgorithmresultsincomplementarybenefits.Thiscombinationfacilitatesquickandpreciseappraisalofindividualfitnessduringtheiterationprocess,therebyreducingdesigntimeconsiderablyandofferingpracticalvalueinengineeringapplications.
作者：程翔鹏 刘进军 邵钰 刘增Author：ChengXiangpeng LiuJinjun ShaoYu LiuZeng
作者单位：电力设备电气绝缘国家重点实验室(西安交通大学)西安710049
刊名：电工技术学报
Journal：TransactionsofChinaElectrotechnicalSociety
年，卷(期)：2024, 39(1)
分类号：TM46
关键词：Buck变换器 峰值电流控制 高带宽 高频建模 遗传算法
Keywords：Buckconverter peakcurrent-mode high-bandwidth high-frequencymodeling geneticalgorithm
机标分类号：TM46TP3TP273
在线出版日期：2024年1月18日
基金项目：国家自然科学基金峰值电流控制Buck变换器高频建模及结合遗传算法的控制器优化设计[
期刊论文] 电工技术学报--2024, 39(1)程翔鹏 刘进军 邵钰 刘增峰值电流控制Buck变换器广泛应用于电源管理芯片.小信号建模是设计其控制器的关键.现有模型忽略电压外环引入的稳态控制信号纹波与小信号扰动延拓频谱对系统的影响,在高控制带宽场景下失效,从而无法指导控制器的设计....参考文献和引证文献
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峰值电流控制Buck变换器高频建模及结合遗传算法的控制器优化设计 High-Frequency Modeling for Peak Current-Model Buck Converters and Optimal Controller Design by Combining Genetic Algorithm
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