单相逆变器分数阶建模及分析

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英文篇名：Fractional order modeling and analysis of single phase inverter 作者：马冬冬 ; 王志强 ; 王进君 ; 李国锋 英文作者：Ma Dongdong;Wang Zhiqiang;Wang Jinjun;Li Guofeng;School of Electrical Engineering,Dalian University of Technology; 关键词：单相逆变器 ; 分数阶模型 ; 分数阶电感 ; 分数阶电容 英文关键词：single phase inverter;;fractional order model;;fractional order inductor;;fractional order capacitor 中文刊名：DCYQ 英文刊名：Electrical Measurement & Instrumentation 机构：大连理工大学电气工程学院; 出版日期：2017-03-25 出版单位：电测与仪表 年：2017 期：v.54;No.657 基金：国家国际科技合作专项资助项目(2014DFR50880) 语种：中文; 页：DCYQ201706018 页数：7 CN：06 ISSN：23-1202/TH 分类号：112-118

摘要

目前单相逆变器的建模分析以整数阶理论为基础,未考虑电感、电容的分数阶特性,与实际系统有一定误差。针对此问题,本文首先分析了分数阶电感和分数阶电容的特性,在此基础上建立了单相全桥电压型逆变器的分数阶模型,并对比分析了整数阶模型和分数阶模型的差异。结果表明:整数阶模型与实际系统的偏差为9.38%,分数阶模型与实际系统的偏差可控制在1.56%,分数阶模型能够更准确的描述实际系统特性。
        Modeling and analysis of single phase inverter are usually based on integer order calculus theory,regardless of the fractional characteristics of inductors and capacitors,which will bring a deviation with the real system. Aiming at this problem,this paper firstly analyzed the behaviors of the fractional order capacitors and fractional order inductors,and on this basis,the fractional order model of single phase full bridge voltage type inverter was proposed. Then,the differences between integer model and fractional model about the inverter are compared. The results show that the percentage error in the integer model and the fractional model is 9. 38% and 1. 56% respectively. In other words,the fractional order model is more accurate to simulate the real system.

引文

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