非自治振荡电路的主谐波分析法  

The Main Harmonic Analysis of Non-Autonomous Oscillation Circuits

作　　者：黄炳华[1] 黄昌琴 蔡义明[1] HUANG Bing-hua;HUANG Chang-qin;CAI Yi-ming(Electrical Engineering School of Guangxi University,Nanning,Guangxi 530004,China)

机构地区：[1]广西大学电气工程学院

出　　处：《电子学报》2019年第9期2003-2011,共9页Acta Electronica Sinica

基　　金：国家自然科学基金资助项目(No.60662001)

摘　　要：二阶非自治电路有时含有自激和受迫两个谐波分量,事实上是一种混频振荡;可将网络划分成两个分部,各分部有各自独立的振荡频率,可以单独列出相量方程或代数方程,而后联合求解.用谐波分析法求解二阶非自治电路,关于最初谐波项的假设,如果能够符合被求电路的物理实际,会得到有实数解的正确结果.反之实数解的缺失,意味着初始假设的不合理.为此必须深入仔细的分析并修正,重新设定最初的谐波成份.本文讨论同时存在有三次与五次方的非线性电路.说明最初谐波项假设的合理性具有很重要的意义.The second order non-autonomous circuit of containing sometime both self-excited and forced components is a mixing oscillation.The whole network can be divided into two components,each of which can give independent phasor or algebraic equation by its own oscillation frequency,and then be solved together.The second order non-autonomous circuits are found by means of the harmonic analysis methods.Concerning the initial assumption of harmonic components,if it fits the physical characteristics of the circuit,the correct real number solution will be obtained.By contrast,the absence of real number solution implies an improper initial assumption.In this case,careful analysis and revise is necessary to reset the initial harmonic components.The nonlinear circuits of coexisting third power and fifth power is discussed in this paper.It possesses very important meaning to explain the rationality of the initial assumption of harmonic components.

关 键 词：非自治电路 混频 谐波分析法 耦合 初相角 

分 类 号：TN711.4[电子电信—电路与系统]