复杂电力网络的鲁棒性控制研究

Robustness Control Research on Complex Power Network

复杂电力网络中存在的一些随机扰动可能带来大规模停电,给国民经济造成巨大损失。为此,根据复杂电力网络的非线性特性,设计一种新的非线性控制器,达到复杂电力网络的稳定控制目的。应用复杂网络控制理论,对电力网络的鲁棒控制进行研究,使用符号函数和绝对值函数设计一种新型的非线性反馈控制器,根据Lyapunov稳定性理论,证明该控制器能够有效地保证带有随机扰动的复杂电力网络的鲁棒控制。仿真实验采用Lorenz系统,结果表明,该网络结构满足无标度特性,在非线性控制器下能够有效地实现鲁棒同步。

This paper proposes a novel nonlinear feedback controller in order to achieve the stability of the complex power networks with stochastic perturbations, which may cause a series of large-scale blackouts and great loss to the national economy. It studies the robust control of the power networks based on the theory of complex networks, designs the nonlinear feedback controller based on the sign function and the absolute value function. According to the Lyapunov stability theory, the robust stability of the complex power networks is verified with stochastic perturbations under the control of the nonlinear feedback controller. In the simulations part, the Loren system is used and the network structure satisfies scale-free characteristic. Numerical simulations are exploited to show the effectiveness of the theoretical results. The robust synchronization can be effectively implemented in the nonlinear controller.