Global frequency synchronization of complex power networks based on cooperative control
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摘要: 研究复杂电力网络的全局渐近频率同步问题，提出一种新的协同控制策略。该策略同时在发电机侧和负载侧控制，实现了复杂电力网络的全局频率同步。与传统的线性化方法相比，所提出的协同控制策略解除了母线电压相位差不超过$0.5{\text{π}} $的限制。这表明，对于任意母线电压相位差，复杂电力网络都可以实现渐近频率同步，拓展了系统的应用场景。根据Lyapunov稳定性理论，得到复杂电力网络实现全局渐近频率同步的充分条件。最后，仿真结果表明本研究所得结果是正确的和有效的。Abstract: The problem of global asymptotic frequency synchronization for complex power networks was investigated, and a novel cooperative control strategy was proposed. The strategy simultaneously controlled both the generator and load sides, and achieved global frequency synchronization in complex power networks. Compared with the traditional linearization methods, the restriction that the bus voltage phase difference must not exceed $0.5{\text{π}} $ was eliminated by the proposed cooperative control strategy. This indicates that asymptotic frequency synchronization can be achieved for complex power networks with any bus voltage phase difference, which expands the system's application scenarios. In addition, based on Lyapunov stability theory, sufficient conditions for the complex power network to achieve global asymptotic frequency synchronization were derived. Finally, the simulation results demonstrate that the proposed method is correct and effective.
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表 1 系统相关参数
Table 1. System related parameters
参数 i = 1 i = 2 i = 3 i = 4 i = 5 i = 6 ${D_i}$ 1.16 0.46 3.57 1 1 1 ${f_i}$ 88 76 111 — — — ${M_i}$ 1 2 3 4 5 6 ${\theta _i}$ 2 5 −3 2.4 1 2 ${\omega _i}$ 40 30 50 — — — ${P_D}_{_i}$ — — — 0.55 0.13 0.72 
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