矩阵变换器输入侧端口受控耗散哈密尔顿算子建模及无源控制

Modeling of port-controlled Hamiltonian with dissipation and passivity-based control for input side of matrix convertor

矩阵变换器无中间直流环节,易受电网扰动和负载扰动的影响.针对这一问题,本文设计了矩阵变换器输入侧无源性控制器以改善控制系统特性.首先,在直–交坐标系下建立输入侧的端口受控耗散哈密尔顿(port-controlled Hamiltonian with dissipation,PCHD)算子模型.然后,设计了基于互联和阻尼配置的无源性控制器,用来实现对输入电流快速准确的跟踪.重新配置了系统的平衡点,通过注入阻尼提高系统的收敛速度,并从理论上对闭环系统的渐进稳定性进行了分析.仿真结果表明,系统在非正常工况下仍能保证输入电流为正弦,相比传统偏差修正法,该控制策略具有更好的动态性能和抗干扰能力.

Because there is no intermediate direct current loop in matrix converter （MC）,MC is sensitive to disturbances in grid voltage and from the load.To deal with this problem,we develop a passivity-based controller in the input side to improve the characteristics of the MC.First,the model of the port-controlled Hamiltonian with dissipation （PCHD） on the input side is built in synchronous d-q coordinates.Then,the passivity controller is redesigned based on the interconnection and the damping assignment （IDA-PBC）,for realizing the fast and accurate tracking of the input current.The equilibrium point of the system is reassigned and a damping injection controller is proposed to improve the convergence rate of the system.Theoretically,the proposed control strategy can asymptotically stabilize the close-loop system.Simulation results shows that the input current maintains the sinusoidal waveform under abnormal conditions,and better dynamic performance and higher robustness are achieved in comparison with the traditional error-correction methods.