![](http://www.infineon-autoeco.com/Public/DownloadFile?fileurl=/upload/image/20170914/6364102616301447361880276.PNG)
由全桥逆变拓扑图可知,uo'为H桥输出电压,iLf为电感电流,uCf为电容两端电压,iCf为电容电流,io为输出负载电流,其相互之间的关系如下: iCf=Cf(duCf/dt) (1) iLf=iCf+io (2)
Lf(diLf/dt)+riLf+uCf=uo' (3)
选取电容电压uCf和电感电流iLf作为状态变量,H桥输出电压uo'作为输入变量,负载电流作为扰动变量,则逆变器状态空间方程为:
![](http://www.infineon-autoeco.com/Public/DownloadFile?fileurl=/upload/image/20170914/6364102620203037042365750.PNG)
对上式进行拉氏变换,将其转换为s域传递函数模型:
![](http://www.infineon-autoeco.com/Public/DownloadFile?fileurl=/upload/image/20170914/6364102639028137776277185.PNG)
结合之前所述,全桥逆变器状态空间平均模型如上图所示,响应船体函数为:
![](http://www.infineon-autoeco.com/Public/DownloadFile?fileurl=/upload/image/20170914/6364102650270402635389139.PNG)
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