基于FACT技术的高阶系统传递函数推导与降阶  

Transfer Function Derivation and Order Reductionof High Order System Based on FACT

作　　者：张孝荟 汤亚芳[1] 栗少龙 宋标 袁旭峰[1] ZHANG Xiaohui;TANG Yafang;LI Shaolong;SONG Biao;YUAN Xufeng(College of Electrical Engineering,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学电气工程学院,贵阳550025

出　　处：《实验室研究与探索》2022年第6期16-20,共5页Research and Exploration In Laboratory

基　　金：国家自然科学基金项目(52067004)。

摘　　要：为了减小高阶系统传递函数求解的复杂度,设计了一种基于快速分析技术FACT和利用时间常数表征电路特性的传递函数求解方法。用FACT求解高阶系统传递函数的低熵表达式,将其整理为零极点分离形式;对零极点表达式进行分析和约束,构造降阶条件,将复杂高阶系统近似等效为简单低阶系统;用Matlab软件进行仿真运算取得系统降阶前后传递函数的单位阶跃响应曲线,观测两个系统的动态性能,并以直流系统的混合式直流故障限流器为例进行了具体验证研究。结果表明:两条单位阶跃响应曲线趋势基本一致,降阶后的系统能较好地表征降阶前的系统动态特征,即验证了FACT对高阶系统传递函数求解与降阶的有效性。In order to reduce the complexity of solving the transfer function of high-order systems,a transfer function solving method based on fast analytical circuit techniques(FACT)was proposed,ituses the time constant to characterize the circuit characteristics.The low-entropy expression of the transfer function of the high-order system is obtained by using FACT,and it is sorted into the form of zero-pole separation;the zero-pole expression is analyzed and constrained,the order reduction condition is constructed,and the complex high-order system is approximately equivalent to a simple low-order.The unit step response curve of the transfer function before and after the system reduced-order are drawn on the Matlab platformto observe the dynamic performance of the two systems,and a specific verification study is carried out by taking the hybrid DC fault current limiter of the DC system as an example.The results show that the trends of the two unit step response curves are basically the same,and the system after the order reduction can better represent the dynamic characteristics of the system before the order reduction,which verifies the effectiveness of the FACT for the solution and order reduction of the transfer function of the high-order system.

关 键 词：传递函数 快速分析技术 系统降阶 单位阶跃响应 

分 类 号：TM133[电气工程—电工理论与新技术]