双馈风机传递函数的分数阶模型辨识近似  

Fractional Order Model Identification Approximation for Transfer Function of Doubly Fed Induction Generator

作　　者：李江[1] 张为庆 LI Jiang;ZHANG Weiqing(School of Electrical Engineering,Northeast Electric Power University,Jilin Jilin 132012,China)

机构地区：[1]东北电力大学电气工程学院,吉林吉林132012

出　　处：《电力电容器与无功补偿》2023年第5期116-123,共8页Power Capacitor & Reactive Power Compensation

基　　金：国家自然科学基金(51977030)。

摘　　要：双馈风机转子电磁转矩的传递函数增益动态行为比较复杂,用整数阶模型分析时使用的变量多。分数阶模型作为传统整数阶模型的扩展,具有模型变量少、动态行为分析简单的优势。首先,结合分数阶的辨识理论,根据不同的目的需求,提出双馈风机转子电磁转矩传递函数增益的2q阶分数阶模型和3q阶分数阶模型;然后,基于整数阶频域响应数据,运用基于Levy的改进辨识算法实现分数阶模型的参数辨识,并加入权重函数以改善分数阶模型在低频段下的拟合度;最后,在算例中,对比分析两种分数阶模型与辨识模型的动态特性,通过Bode图对比分析和均方差指标,验证了辨识近似方法在频域中的有效性;单位阶跃响应曲线验证了分数阶模型暂态过程的有效性。The dynamic behavior of transfer function gain of rotor torque of doubly-fed electromagnetic torque induction generator is complex and many variables are used in integer order model analysis.The fractional order model,as an extension of the traditional integer order model,has such advantages as less model variables and simple dynamic behavior analysis.Firstly,combined with the identification theory of fractional order,the 2q and the 3q order fractional order models of the transfer function gain of rotor torque of doubly-fed electromagnetic torque induction generator are proposed in accordance with different requirements;Then,based on the frequency response data of integer order,the parameter identification of fractional order model is achieved by using the improved identification algorithm based on levy,and the weight function is added to improve the fitting degree of fractional order model in low frequency band;Finally,the dynamic characteristics of the two fractional order models and the identification model are compared and analyzed in the example.The effectiveness of the identification approximation method in the frequency domain is verified by the comparative analysis of Bode diagram and the mean square error index;The effectiveness of the fractional order model is verified by the unit step response curve.

关 键 词：双馈风机 转子电磁转矩传递函数增益 频域辨识 分数阶模型 辨识建模 

分 类 号：TM315[电气工程—电机]