Article(id=1322531652442633100, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322531607177707705, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.5.28, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1705593600000, receivedDateStr=2024-01-19, revisedDate=1709827200000, revisedDateStr=2024-03-08, acceptedDate=1712332800000, acceptedDateStr=2024-04-06, onlineDate=1793245717392, onlineDateStr=2026-10-29, pubDate=1780070400000, pubDateStr=2026-05-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793245717392, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793245717392, creator=13701087609, updateTime=1793245717392, updator=13701087609, issue=Issue{id=1322531607177707705, tenantId=1146029695717560320, journalId=1146031654075715584, year='2026', volume='24', issue='5', pageStart='1', pageEnd='348', issueExtLink='null', onlineDate='null', pubDate='1780070400000', pubDateStr='2026-05-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793245706600, creator='13701087609', updateTime=1793245706600, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=28, endPage=38, ext={EN=ArticleExt(id=1322531652635571085, articleId=1322531652442633100, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=The Mathematical Model of A Class-D Power Amplifier Based on Analog Second-order Sigma-Delta Modulation, columnId=1321491632424338129, journalTitle=Journal of Power Supply, columnName=Power Converter Modeling and Control, runingTitle=null, highlight=null, articleAbstract=

For an analog second-order Sigma-Delta modulation class-D power amplifier circuit, the continuous domain mathematical model and discrete time domain iterative mathematical model are constructed. For the power amplifier circuit, the continuous domain mathematical model is derived, which shows that the principle of the second order sigma-delta modulation circuit is self-excited oscillation based on positive feedback, so as to realize the output switching signal. Since the continuous domain mathematical model can only obtain the self-excited oscillation frequency, the continuous domain mathematical model is discretized to obtain the discrete time domain iterative mathematical model. This model can calculate the switching frequency value of any input signal and analyze the stability conditions of second-order Sigma-Delta modulation circuit. The experimental results show that the error between the theoretical switching frequency calculated based on the mathematical model and the experimental value is less than 14%, which verifies the correctness of the mathematical model.

, authors=Xuerui SHENG^{1, 2}, Zhaojun WANG^{1, 2}, Chang ZHANG^{1, 2}, authorsList=Xuerui SHENG, Zhaojun WANG, Chang ZHANG, authorCompany=null, correspAuthors=Xuerui SHENG, 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=1322531654560756623, articleId=1322531652442633100, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=基于模拟二阶Sigma-Delta调制D类功放数学模型, 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=

针对模拟二阶Sigma-Delta调制的D类功放电路，构建了连续域数学模型及其离散化时域迭代数学模型。针对功放电路推导了连续域数学模型，该模型表明二阶Sigma-Delta调制电路原理为基于正反馈的自激振荡，从而实现输出开关信号。由于连续域数学模型仅可计算自激振荡频率，因此对连续域数学模型进行离散化处理，得到离散化时域迭代数学模型。该模型可计算任意输入信号时的开关频率值，并分析二阶Sigma-Delta调制电路的稳定性条件。实验结果表明，基于数学模型计算的开关频率理论值和实验值误差不超过14%，验证了该数学模型的正确性。

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王昭君（1997—　），女，硕士，助理工程师。研究方向：信号检测。E-mail：1835570351@qq.com。

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张昌（1989—　），男，硕士，工程师。研究方向：信号处理。E-mail：misspopular@126.com。

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