Yang Li-Xin, Lin Xiao-Lin, Jiang Jun
School of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an 710021, China.
State Key Laboratory for Strength and Vibration, Xi'an Jiaotong University, Xi'an 710049, China.
Chaos. 2018 Jun;28(6):063103. doi: 10.1063/1.5017772.
We study the dynamics in a clustered network of coupled oscillators by considering positive and negative coupling schemes. Second order oscillators can be interpreted as a model of consumers and generators working in a power network. Numerical results indicate that coupling strategies play an important role in the synchronizability of the clustered power network. It is found that the synchronizability can be enhanced as the positive intragroup connections increase. Meanwhile, when the intragroup interactions are positive and the probability p that two nodes belonging to different clusters are connected is increased, the synchronization has better performance. Besides, when the intragroup connections are negative, it is observed that the power network has poor synchronizability as the probability p increases. Our simulation results can help us understand the collective behavior of the power network with positive and negative couplings.
我们通过考虑正负耦合方案来研究耦合振荡器集群网络中的动力学。二阶振荡器可被解释为在电力网络中运行的消费者和发电机的模型。数值结果表明，耦合策略在集群电力网络的同步性中起着重要作用。研究发现，随着组内正连接的增加，同步性可以得到增强。同时，当组内相互作用为正时，两个属于不同集群的节点连接的概率p增加时，同步具有更好的性能。此外，当组内连接为负时，可以观察到随着概率p的增加，电力网络的同步性较差。我们的模拟结果有助于我们理解具有正负耦合的电力网络的集体行为。
