基于谐波状态空间的无线电能传输系统建模和稳定性分析  

Modeling and Stability Analysis of Wireless Power Transfer System Based on Harmonic State Space

作　　者：胡秀芳 王跃[1] 吕双庆 赵德林 马天录 HU Xiufang;WANG Yue;LYU Shuangqing;ZHAO Delin;MA Tianlu(School of Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,China)

机构地区：[1]西安交通大学电气工程学院,陕西省西安市710049

出　　处：《电力系统自动化》2022年第11期121-130,共10页Automation of Electric Power Systems

摘　　要：LCC-S(一次侧LCC、二次侧LC串联)型无线电能传输(WPT)系统具有发射侧输出电流恒定以及对耦合机构错位的高容忍性等优点,近年来被广泛应用。然而WPT系统固有的非线性特性可能会导致系统失稳,因此文中以LCC-S型WPT系统为研究对象分析系统出现的不稳定现象。首先,将谐波状态空间(HSS)理论引入WPT系统建模,给出了将时域中的状态空间方程转化为HSS方程的方法,该建模方法考虑了系统中各次谐波的相互耦合作用,具有更高的精确度。其次,基于Pade近似等值延时环节,推导了基于HSS理论的闭环控制模式下系统的小信号模型。通过特征值的分布研究控制器参数以及硬件参数对WPT系统稳定性的影响规律。最后,通过仿真和实验验证了所建数学模型的准确性以及理论分析的正确性。The wireless power transfer(WPT)system with the LCC-S compensation(LCC compensation on the primary side and LC series compensation on the secondary side)has the advantages of constant output current on the transmitting side and the high tolerance to the misalignment of the coupling mechanism,which has been widely used in recent years.However,the inherent nonlinear characteristic of the WPT system may lead to system instability.Therefore,this paper takes the LCC-S compensated WPT system as the research object to analyze the instability phenomenon of the system.Firstly,the harmonic state space(HSS)theory is introduced to the modeling of the WPT system,and the method of transforming the state-space equation in the time domain into the HSS equation is given.This modeling method could achieve high accuracy since it takes into account the mutual coupling effect of various harmonics in the system.Secondly,the Pade approximation is used to approximate the time delay link,and the small-signal model of the system in the closed-loop control mode is derived based on the HSS theory.Thirdly,the influence rule of controller parameters and hardware parameters on the stability of the WPT system is studied through the distribution of eigenvalues.Finally,the simulation and experimental results are provided to verify the accuracy of the proposed mathematical model and the effectiveness of the theoretical analysis.

关 键 词：无线电能传输 稳定性 LCC-S补偿 谐波状态空间 小信号模型 特征值 不稳定现象 

分 类 号：TM724[电气工程—电力系统及自动化]