基于布尔矩阵的推挽变压器建模方法  

Modeling Method of Push-pull Transformers Based on Boolean Matrix

作　　者：伍家驹[1] 周叶 陈亮亮 徐杰 李军华[1] WU Jiaju;ZHOU Ye;CHEN Liangliang;XU Jie;LI Junhua(College of Information Engineering,Nanchang Hangkong University,Nanchang 330063,Jiangxi,China)

机构地区：[1]南昌航空大学信息工程学院,江西南昌330063

出　　处：《电气传动》2020年第3期66-72,共7页Electric Drive

基　　金：国家自然科学基金资助项目(51167014,50967003,50467003)。

摘　　要：电子变压器周边电子器件的开关状态影响着变换器的工作模态,且易造成子回路的冗余和缺失,影响建模。以推挽式电压型逆变器为例,先以行列式表达推挽变压器中全部支路的诸通断状态,再据SPWM的规律、电子器件的导通条件和电磁能量的传输过程,归纳出简化判据,逐步得到有效矩阵,最后以微分方程来描述工作过程并导出状态方程。仿真和实验表明:基于布尔矩阵的建模方法所得数学模型能准确有效地表达推挽变压器的能量传输过程。The switching state of the electronic devices around the electronic transformers affects the working mode of the converter,and easily leads to redundancy and loss of the sub-circuit,which affects the modeling. The push-pull voltage source inverter was taken as an example,the on-off states of all branches in the push-pull transformers were firstly expressed by determinant,then the simplified criterion was generalized according to the SPWM law,the conduction conditions of electronic devices and the transmission process of electromagnetic energy,and then the effective matrix was got step by step. Finally,the working process was described by differential equation,then equation of state was derived.Simulation and experiment show that the mathematical model based on Boolean matrix can accurately and effectively express the energy transfer process of push-pull transformers.

关 键 词：Boolean矩阵 逆变器 推挽变压器 数学建模 简化判据 

分 类 号：TM46[电气工程—电器]