基于Bessel函数的两电平逆变器TCPWM输出频谱特性分析  

Output Spectrum Characteristics Analysis of Two-level Inverter TCPWM Based on Bessel Function

作　　者：洪欣雨 朱长青 安树 廖梓柔 赵友诚 HONG Xinyu;ZHU Changqing;AN Shu;LIAO Zirou;ZHAO Youcheng(Electrical and Power Engineering Teaching and Research Section,Shijiazhuang Campus of Army Engineering University of PLA,Shijiazhuang 050003,China;Department of Automation,Xiamen University,Xiamen 361102,China)

机构地区：[1]中国人民解放军陆军工程大学石家庄校区电气与电力工程教研室,河北石家庄050003 [2]厦门大学自动化系,福建厦门361102

出　　处：《智慧电力》2021年第9期95-102,共8页Smart Power

基　　金：国家自然科学基金资助项目(51807058);河北省自然科学基金(E2017506007)。

摘　　要：提出了基于第一类整数型线性相关Bessel函数解的三角复合函数单边无穷级数表示方法。首先阐述了传统谐波理论分析原理与局限性;随后基于广义二项式定理给出高次初等三角函数Maclaurin展开式,利用Bessel等效幂函数特点对复合函数进行等价变化,得出输出谐波的简化表达式;最后分析比较了单相半桥与三相两电平逆变器在TCPWM方式下的输出频谱特性,并使用Matlab进行仿真,在验证了理论正确性的同时,填补了PWM逆变电路输出特性分析领域理论支撑的空白。One-sided infinite series representation of the trigonometric complex function is proposed based on the linear correlation Bessel function solution of the first type of integer.Firstly,the principle and limitations of the traditional harmonic theory are explained;then the Maclaurin expansion of higher primary trigonometric function is given based on the generalized binomial theorem,and the Bessel equivalent power function is used to equivalently vary the composite function to derive the simplified expression of the output harmonics.The output characteristics of the single-phase half-bridge and three-phase two-level inverters in TCPWM mode are analyzed and compared in a comparative manner.Algorithm simulation is performed by using Matlab.The theoretical validity is verified and the theoretical support blank in the field of PWM inverter output characteristics analysis is filled.

关 键 词：BESSEL函数 二项式定量 TCPWM 两电平逆变器 谐波 频谱特性 

分 类 号：TM464[电气工程—电器]