基于PCHD模型的柔性直流输电鲁棒控制

PCHD Based Robust Control of VSC-HVDC Transmission Based on Port-controlled Hamiltonian with Dissipation

基于柔性直流输电系统的数学模型与端口受控耗散哈密尔顿(PCHD)方程建立了换流器三相坐标系下的PCHD模型,并导出了换流器在dq旋转坐标系下的PCHD模型,证明了换流器的严格无源性。通过配置连接矩阵与阻尼矩阵构造期望能量函数,并确立为Lyapunov函数。通过注入阻尼矩阵消除了换流器直流侧等效电阻对系统的影响。由期望平衡点、状态变量及互联和阻尼分配无源性(IDA-PB)控制原理设计了换流器的IDA-PB控制器。在不同的运行条件下用PSCAD/EMTDC软件对控制系统进行了仿真,结果表明所提出的控制策略具有良好的动、静态性能和鲁棒性。

According to the mathematical model of voltage source converter based high voltage direct current（VSC-HVDC） and port-controlled Hamiltonian with dissipation（PCHD） equation,the PCHD model for VSC in three-phase frame is developed,and the PCHD model of VSC in dq rotating frame is derived with its rigorous passivity proved.A desired energy function is built and used as Lyapunov function by assigning the link matrix and damping matrix.The influence of the equivalent resistance of the VSC dc side on the system is eliminated by assigning the injecting damping matrix.The interconnection and damping assignment passivity-based（IDA-PB） controller is designed according to the expected equilibrium point,the state variable and the IDA-PB control principle.VSC-HVDC and its control system are simulated under different operating conditions using software PSCAD/EMTDC,the results showing that the control strategy proposed has good performance and strong dynamic-or static-state robustness.