王庆华,黄炳华

• 1:广西大学电气工程学院
• 2:广西大学电气工程国家级实验教学示范中心

摘要(Abstract)：

以三次方变阻尼项和两个不同频激励源混频为例,首先用谐波平衡原理求出微分方程中的三个主谐波解,通过多个计算程序列表验证正确性,同时用频域分析方法与功率平衡理论求出各谐波成份相互之间的非线性耦合关系,证明网络中每一频率成份的复功率各自守恒,两种方法相互印证求解结果。同时用仿真软件输出主谐波解相图,分析得出三个主谐波混频造成的振荡解,其公共基频很低,稳态的总体输出有很长的振荡周期,频谱的分布非常密集,当相点画出的相图还没有完成一个周期时,就显示为非周期性的混沌。

关键词(KeyWords)： 谐波;混频;频域;复功率;非线性耦合;混沌

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金资助项目(60662001);; 广西高等教育本科教学改革工程资助项目(2016JGA133,2017JGB121)~~

作者(Author): 王庆华,黄炳华

DOI: 10.16652/j.issn.1004-373x.2018.21.039

参考文献(References)：

• [1]黄炳华,梁永清,韦忠海.多激励源混频构成的混沌[J].现代物理,2014(4):147-159.HUANG Binghua,LIANG Yongqing,WEI Zhonghai. Chaos can be realized by the mixing of multi-frequency[J]. Modern physics,2014(4):147-159.
• [2]梁永清,黄炳华,韦忠海.混频产生混沌[J].科学技术与工程,2016,16(7):215-219.LIANG Yongqing,HUANG Binghua,WEI Zhonghai. The chaos produced by mixing[J]. Science technology and engineering,2016,16(7):215-219.
• [3]李军伟.基于超混沌系统的图像加密算法[J].现代电子技术,2017,40(15):72-75.LI Junwei. Image encryption algorithm based on hyper-chaotic system[J]. Modern electronics technique,2017,40(15):72-75.
• [4]何慧征,朱江淼.数字式双混频时差测量仪原理分析与仿真[J].现代电子技术,2013,36(19):61-63.HE Huizheng,ZHU Jiangmiao. Principles analysis and simulation of digital dual mixer time difference measuring instrument[J]. Modern electronics technique,2013,36(19):61-63.
• [5]韦忠海,黄蕙玲,黄炳华.非线性振荡的周期态与混沌态[J].太原理工大学学报,2016,47(1):46-52.WEI Zhonghai,HUANG Huiling,HUANG Binghua. Periodic and chaotic status of nonlinear oscillations[J]. Journal of Taiyuan University of Technology,2016,47(1):46-52.
• [6]梁永清,黄炳华,张俊杰.用功率平衡原理分析超外差接收电路[J].太原理工大学学报,2015,46(2):201-205.LIANG Yongqing,HUANG Binghua,ZHANG Junjie. Analyzing superhet circuit using power balance principle[J]. Journal of Taiyuan University of Technology,2015,46(2):201-205.
• [7]黄炳华,李广明,刘慧杰.由无损耗电路构成的非周期振荡[J].现代物理,2013(1):1-8.HUANG Binghua, LI Guangming, LIU Huijie. Aperiodic oscillation structured by lossless circuit[J]. Modern physics,2013(1):1-8.
• [8] HUANG Binghua, WEI Yafen, HUANG Ying. Describing chaos of continuous time system using bounded space curve[J].Modern physics,2014(5):1489-1501.
• [9] HUANG Binghua,YANG Guangsong,WEI Yafen,et al. Harmonic analysis method based on power balance[J]. Applied mechanics and materials,2013,325:1508-1514.
• [10] HUANG Binghua,LI Guangming,LIU Huijie. Power balance theorem of frequency domain and its application[J]. Modern physics,2014(5):1097-1108.