基于Hamilton理论的广域非线性时滞多机电力系统的稳定与控制

Nonlinear wide-area time-delay stabilization and control of multi-machine power system based on Hamilton theory

针对非线性时滞多机电力系统,将局域信号与远程信号都纳入控制器设计中,根据全局条件下信号时滞的差异性,建立广域时滞非线性多机电力系统的端口可控Hamilton(PCH)模型。该模型以汽门开度为控制量,考虑了扰动给系统带来的影响。以此模型为基础,针对某个形式的H函数给出了含有该H函数作为部分能量函数的Lyapunov泛函及一系列相应的稳定条件。通过"能量整形"技术,将一般电力系统的PCH模型转化为具有特定形式H函数的PCH模型,并应用给出的稳定条件设计相应的全状态反馈控制。最后以3机9节点系统为例,以时域仿真的结果验证了扰动下非线性时滞控制器的有效性。

In view of the nonlinear time-delay multi-machine power system, involving the local and remote signals into the controller design and considering the diversity of the signal delays, a port controllable Hamilton model is constructed. The model takes steam valve as control variable and takes into account the influence of the disturbance. Based on the proposed model, aiming at a certain form of H function, the corresponding Lyapunov function with some specific H function as its part energy function is given to derive a delay-dependent stability criterion. By energy-shaping method, the PCH model of a general power system could be transformed into a PCH model with specific H function and the corresponding full-state feedback controller is designed according to the stable criterion. Finally, taking a 3-machine 9-bus power system as an example, the simulation results show that the performance of controller is effective in the nonlinear time-delay system with disturbance.