Article(id=1322531853966364822, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322531709363536798, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.6.106, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1710172800000, receivedDateStr=2024-03-12, revisedDate=1716998400000, revisedDateStr=2024-05-30, acceptedDate=1718121600000, acceptedDateStr=2024-06-12, onlineDate=1793245765438, onlineDateStr=2026-10-29, pubDate=1782748800000, pubDateStr=2026-06-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793245765438, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793245765438, creator=13701087609, updateTime=1793245765438, updator=13701087609, issue=Issue{id=1322531709363536798, tenantId=1146029695717560320, journalId=1146031654075715584, year='2026', volume='24', issue='6', pageStart='1', pageEnd='368', issueExtLink='null', onlineDate='null', pubDate='1782748800000', pubDateStr='2026-06-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793245730962, creator='13701087609', updateTime=1793245730962, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=106, endPage=116, ext={EN=ArticleExt(id=1322531854163497111, articleId=1322531853966364822, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Hybrid Modulation Adaptive Control Strategy for LLC Resonant Converter, columnId=1321491632424338129, journalTitle=Journal of Power Supply, columnName=Power Converter Modeling and Control, runingTitle=null, highlight=null, articleAbstract=

As a mainstream high-efficiency DC-DC converter, the LLC resonant converter faces an issue of a narrow voltage regulation range, and a hybrid modulation technique combining pulse frequency modulation (PFM) and phase shift modulation (PSM) can effectively broaden the voltage regulation range. However, a single proportional integral (PI) controller cannot adequately balance the system stability and responsiveness in the two operating modes. Aimed at this problem, a hybrid modulation adaptive control strategy for the LLC converter is proposed. First, a small-signal model of the LLC converter in PFM and PSM modulation modes is established using an extended describing function method. Then, a model correction algorithm is developed with an objective of unanimous rate of change of the model gain, so as to obtain a unified model of the LLC resonant converter. Furthermore, based on this unified model, adaptive PI controllers are designed considering input voltage and load current, thus realizing the stable performance and dynamic response of the converter across the entire load and input ranges. Finally, the effectiveness of the proposed adaptive control strategy was validated by the construction of a simulation model and an experimental platform.

, authors=Baoquan LIU, Qihao ZHOU, Meng HAN, authorsList=Baoquan LIU, Qihao ZHOU, Meng HAN, authorCompany=null, correspAuthors=Qihao ZHOU, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1322531856159985818, articleId=1322531853966364822, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=LLC谐振变换器混合调制自适应控制策略, columnId=1321491632592110291, journalTitle=电源学报, columnName=电力电子变换器建模与控制, runingTitle=null, highlight=null, articleAbstract=

LLC谐振变换器作为主流的高效率DC-DC变换器存在调压范围较窄的问题，通过脉冲频率调制PFM（pulse frequency modulation）与移相PSM（phase shift modulation）混合调制可有效拓宽其调压范围，但单一的比例积分PI（proportional integral）控制器无法在2种工作模式下兼顾系统的稳定性和快速性。针对上述问题提出一种LLC混合调制自适应控制策略，首先，通过扩展描述函数法建立LLC变换器在PFM和PSM模式下的小信号模型；然后，以模型增益变化率一致为目标，建立混合调制下的模型修正算法，得到LLC谐振变换器的统一模型；接着，基于所得统一模型，考虑输入电压和负载电流设计自适应PI控制器，实现变换器全负载范围和全输入范围内良好的稳态性能和动态响应特性；最后，搭建仿真模型和实验平台验证了所提自适应控制的有效性。

, authors=刘宝泉中国电源学会会员, 周歧浩中国电源学会学生会员, 韩猛中国电源学会学生会员, authorsList=刘宝泉中国电源学会会员, 周歧浩中国电源学会学生会员, 韩猛中国电源学会学生会员, authorCompany=null, correspAuthors=周歧浩中国电源学会学生会员, authorNote=, correspAuthorsNote=, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=m056tz99wiVVvlxRMCUTJw==, magXml=ONtqiNUnbB87dsAecCSVpg==, pdfUrl=null, pdf=tZk5Q5fby4p76xdYBGqFow==, pdfFileSize=2212948, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=wjUxvqLWReg82HHY/W5MQg==, mapNumber=null, fund=null)}, authors=[Author(id=1322531856696856735, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531853966364822, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=liubq@sust.edu.cn, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322531857053372577, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531853966364822, authorId=1322531856696856735, language=EN, stringName=Baoquan LIU, firstName=Baoquan, middleName=null, lastName=LIU, prefix=null, suffix=Member, CPSS, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi’an 710021, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322531857367945378, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531853966364822, authorId=1322531856696856735, language=CN, stringName=刘宝泉中国电源学会会员, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=陕西科技大学电气与控制工程学院，西安　710021, bio={"content":"

刘宝泉（1987—　），男，中国电源学会会员，博士，副教授。研究方向：电力电子与电力传动。E-mail：liubq@sust.edu.cn。

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刘宝泉（1987—　），男，中国电源学会会员，博士，副教授。研究方向：电力电子与电力传动。E-mail：liubq@sust.edu.cn。

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韩猛（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：DC-DC谐振变换器及其控制。E-mail：210611004@sust.edu.cn。

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韩猛（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：DC-DC谐振变换器及其控制。E-mail：210611004@sust.edu.cn。

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