稀疏网络拓扑下电网的稳定性与控制
Stability and control of power grids with diluted network topology
摘要：
在本研究中，我们考虑了一个随机网络的仓本振荡器的惯性，以模仿和调查出现在高压电网的动态。相应的固有频率被假定为双峰高斯分布，从而模拟发电机和用户的分布：对于电力系统的稳定运行，这两个量必须处于平衡状态。由于同步必须确保一个完美的工作电网，我们调查所需的同步状态的稳定性。我们解决这个问题的数值N个旋转人口的淬火无序的拓扑结构中存在的水平无关。我们获得稳定和不稳定的解决方案，不同的初始相位条件，我们提出了如何控制不稳定的解决方案，足够大的耦合强度，使他们稳定的任何初始阶段。最后，我们研究了高斯白噪声影响下的随机Erdös-Renyi网络，考虑到可再生能源的增加，高斯白噪声是电网的重要组成部分。
英文摘要：
In the present study we consider a random network of Kuramoto oscillators with inertia in order to mimic and investigate the dynamics emerging in high-voltage power grids. The corresponding natural frequencies are assumed to be bimodally Gaussian distributed, thus modeling the distribution of both power generators and consumers: for the stable operation of power systems these two quantities must be in balance. Since synchronization has to be ensured for a perfectly working power grid, we investigate the stability of the desired synchronized state. We solve this problem numerically for a population of N rotators regardless of the level of quenched disorder present in the topology. We obtain stable and unstable solutions for different initial phase conditions, and we propose how to control unstable solutions, for sufficiently large coupling strength, such that they are stabilized for any initial phase. Finally, we examine a random Erdös-Renyi network under the impact of white Gaussian noise, which is an essential ingredient for power grids in view of increasing renewable energy sources.
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