二阶系统中模型降阶方法的研究

在对模型数据转换研究的基础上,分析了应用于模型简化的一阶降阶方法,提出了一种应用于二阶系统模型简化的二阶降阶方法。通过实例分析,证明了该方法的可行性,进一步验证了该方法在高频段和低频段都保持了较高的精度。实验结果表明,在频率达到100 Hz时,相对误差仅为1.18%。同时,使用该方法还保留了二阶系统所固有的一些性质。

Study on model order reduction method in second order system

In the prophase of simulation,the main tasks are the data transform and the model reduction.On the basis of the study on data transform,the analysis of the first reduced order method applied in model reduction is given.And the second reduced order method is put forward,which is mainly used in the second order system.By analyzing an example,the utility of this method is proved,furthermore,this method keeps high precision both in low frequency and in high frequency.The results indicate that when the frequency reaches 100 Hz,the relative error is only 1.18%.At the same time,this method keeps some inherent properties of the second order system.