三相电压型逆变器的精确线性化控制  

Exact Linearization Control of Three-Phase Voltage Source Inverter

作　　者：董锋斌[1,2] 钟彦儒[2] 

机构地区：[1]陕西理工学院电气工程学院,汉中723003 [2]西安理工大学自动化与信息工程学院,西安710048

出　　处：《电工技术学报》2013年第10期143-149,共7页Transactions of China Electrotechnical Society

基　　金：陕西省教育厅科研计划(09JK374;2010JK468);陕西省教育厅重点实验科研(2010JS042)资助项目

摘　　要：为了提高三相电压型逆变器非线性系统的静态动态性能,本文将精确线性化方法应用到逆变器控制中。首先应用开关函数、开关周期平均算子建立了系统的仿射非线性数学模型,再根据非线性微分几何理论,从理论上证明了该模型满足多输入、多输出系统精确线性化的条件,推导出非线性状态反馈控制律。对非线性坐标变换后得到的线性系统,利用二次型最优控制策略时,为提高闭环系统快速性,使系统受到干扰后系统的状态变量尽快收敛到期望值,构造出二次型性能指标积分变量第一项函数,并推导出权矩阵的参数形式。将最优化得到的控制律进行逆变换来实现原系统的优化控制设计。最后通过仿真和实验表明了所提出控制策略的正确性。In order to improve the static and dynamic performance of the three-phase voltage source inverter, the exact linearization design approach is proposed to apply to inverter control. First, the affine nonlinear mathematical model is established with the switching function and average switch period operator. Then, according to nonlinear differential geometry theory, the model is proved in theory to meet conditions for exact linearization for the multiple input, multiple output system. The nonlinear state feedback control laws are deduced. For the linear system of nonlinear coordinate transformation, quadratic optimal control strategy is used. To improve the speed of the closed-loop system and make the system state variables converge to the desired value as soon as possible after the disturbance, the first integration variable function of the quadratic performance index is constructed. The parameters of weight matrix are deduced. The optimal control of the original system design is achieved with inverse transformation. Finally, the correctness of the control method is validated by simulations and experiments.

关 键 词：三相电压型逆变器 非线性 精确线性化 最优控制 

分 类 号：TM464[电气工程—电器]