基于GSSA的双有源桥双向DC-DC变换器建模与分析
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摘要
由于双有源桥双向DC-DC变换器电感电流在一个周期内波动很大,采用传统状态空间平均法对其进行小信号建模不符合"小纹波"假设,本文采用一种常用于谐振变换器建模的广义状态空间平均法(Generalized State-Space Averaging,GSSA)来对双有源桥双向DC-DC变换器进行建模。首先介绍了基于傅里叶变换的广义状态平均法,然后根据变换器的时域状态模型,以原电路变量的傅里叶级数系数为状态变量建立广义状态平均模型,求得控制到输出的传递函数,并设计了闭环控制器。最后在MATLAB/Simulink中搭建了仿真模型,仿真结果表明,利用该模型设计的闭环控制器可使变换器输出稳定电压。
Due to the inductance current of dual-active-bridge bidirectional DC-DC converter fluctuating strongly, the small-signal model with traditional state-space averaging method does not meet the "small ripple" characteristic. This paper presents a generalized state-space averaging(GSSA) modeling method, which is usually used on resonant converters. First, generalized state-space averaging method based on Fourier series is introduced. Second, according to the time domain state model of the converter, using the Fourier series coefficients of the original circuit variables as the state variables, the generalized state-space averaging model is established, the transfer function controlled to output is obtained, and the closed loop controller is designed. Finally, a simulation model is built in Matlab/Simulink, and the simulation result shows that the output voltage of the converter is stable with designed closed loop controller.
Due to the inductance current of dual-active-bridge bidirectional DC-DC converter fluctuating strongly, the small-signal model with traditional state-space averaging method does not meet the "small ripple" characteristic. This paper presents a generalized state-space averaging(GSSA) modeling method, which is usually used on resonant converters. First, generalized state-space averaging method based on Fourier series is introduced. Second, according to the time domain state model of the converter, using the Fourier series coefficients of the original circuit variables as the state variables, the generalized state-space averaging model is established, the transfer function controlled to output is obtained, and the closed loop controller is designed. Finally, a simulation model is built in Matlab/Simulink, and the simulation result shows that the output voltage of the converter is stable with designed closed loop controller.
引文
[1]王博洋,魏立彬,张宇,等.基于双向全桥DC-DC变换器增广状态控制系统研究[J].电气传动,2017,47(11):25-30.
[2]De Doncker R W,Kheraluwala M H,Divan D M.Power conversion apparatus for DC/DC conversion using dual active bridges[P].U.S.:Patent 5,027,264.1991-6-25.
[3]武琳,刘志刚,洪祥.隔离式双向全桥DC-DC变换器的功率控制特性比较与分析[J].电工技术学报,2013,28(10):179-187.
[4]Krismer F,Kolar J W.Accurate small-signal model for the digital control of an automotive bidirectional dual active bridge[J].IEEE Transacion on Power Electronics,2009,24(12):2756-2768.
[5]蒋小平,魏立彬,彭朝阳,等.基于广义状态平均法的双有源全桥变换器建模[J].电子技术应用,2015,41(7):132-135,139.
[6]Sander Seth R,Noworolski J Mark,et al.Generalized averaging method for power conversion circuits[J].IEEE Transacrions on Power Electronics,1991,6(2):251-259.
[7]周继昆,吴付岗,张荣.LCL型IPT系统广义状态空间平均法建模与分析[J].科技通报,2015(11):215-219.
[8]游江,康少波,罗耀华.广义状态空间平均法用于PWM整流器的建模[J].电测与仪表,2009,46(8):67-70.
[2]De Doncker R W,Kheraluwala M H,Divan D M.Power conversion apparatus for DC/DC conversion using dual active bridges[P].U.S.:Patent 5,027,264.1991-6-25.
[3]武琳,刘志刚,洪祥.隔离式双向全桥DC-DC变换器的功率控制特性比较与分析[J].电工技术学报,2013,28(10):179-187.
[4]Krismer F,Kolar J W.Accurate small-signal model for the digital control of an automotive bidirectional dual active bridge[J].IEEE Transacion on Power Electronics,2009,24(12):2756-2768.
[5]蒋小平,魏立彬,彭朝阳,等.基于广义状态平均法的双有源全桥变换器建模[J].电子技术应用,2015,41(7):132-135,139.
[6]Sander Seth R,Noworolski J Mark,et al.Generalized averaging method for power conversion circuits[J].IEEE Transacrions on Power Electronics,1991,6(2):251-259.
[7]周继昆,吴付岗,张荣.LCL型IPT系统广义状态空间平均法建模与分析[J].科技通报,2015(11):215-219.
[8]游江,康少波,罗耀华.广义状态空间平均法用于PWM整流器的建模[J].电测与仪表,2009,46(8):67-70.