离散时间迭代的LCC-S型无线电能传输系统建模及稳定性分析  

Modeling and stability analysis of LCC-S compensated WPT system based on discrete-time iteration

作　　者：吕双庆 陈文洁[1] 胡秀芳 LÜShuangqing;CHEN Wenjie;HU Xiufang(School of Electrical Engineering,Xi’an Jiaotong University,Xi’an 710049,China;School of Electronic Information Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]西安交通大学电气工程学院,陕西西安710049 [2]太原科技大学电子信息工程学院,山西太原030024

出　　处：《电机与控制学报》2023年第8期1-15,共15页Electric Machines and Control

摘　　要：为了建立LCC-S型无线电能传输(WPT)系统的模型并分析其稳定性,采用离散时间迭代的思想,建立了开环控制模式下LCC-S型WPT系统的模型,该模型可以描述系统的连续动态特性。在此基础上,进一步推导了电压型比例积分控制LCC-S型WPT系统的离散时间迭代模型,同时利用Pade近似将延时时间纳入数字控制系统。基于雅可比矩阵特征根的稳定性分析评估了控制器参数、延时时间和主电路参数对系统稳定性的影响,准确预测了系统的稳定范围。同时利用特征根预测了系统不稳定时的振荡周期。然后,对稳定边界受控制器参数和主电路参数变化的影响进行了研究。此外,将LCC-S型WPT系统的EDF模型、GSSA模型和离散时间迭代模型进行临界稳定预测值的对比。最后,仿真和实验验证所建立模型和稳定性分析的正确性。In order to establish the model of LCC-S compensated wireless power transfer(WPT)system and analyze its stability,the discrete-time iteration approach is adopted to establish the model of the LCCS compensated WPT system under open-loop control mode.This model can describe the continuous dynamic characteristics of the system.Based on this,the discrete-time iteration model of the voltage-controlled proportional-integral(PI)controlled LCC-S compensated WPT system was further derived,and the delay time was incorporated into the digital control system using Pade approximation.The stability analysis based on the eigenvalues of the Jacobian matrix evaluated the influence of the controller parameters,delay time and main circuit parameters on the system stability,and accurately predicted the stability range of the system.The oscillation period when the system becomes unstable was also predicted using eigenvalues.Subsequently,the influence of controller parameters and main circuit parameters variation on the stable boundary was studied.In addition,a comparison is made between the critical stability prediction values of the EDF model,GSSA model,and the discrete-time iteration model of the LCC-S compensated WPT system.Finally,simulation and experimental verification are conducted to validate the established models and the correctness of stability analysis.

关 键 词：无线电能传输系统 LCC-S补偿 离散时间迭代 延时 稳定性 振荡周期 

分 类 号：TM724[电气工程—电力系统及自动化]