In this paper, we consider the frequency synchronization problem in a network of lossless, connected, and network-reduced power system. Frequency synchronization is an important problem in power systems as frequency deviation can lead to degraded power quality, tripping of generators, etc. We present a load-estimator-based consensus algorithm in a network of fourth-order generator models that achieves practical frequency synchronization in the presence of unknown time-varying power demand. We do not assume that the demand is generated by a known model. We follow a multiple time-scale approach for the stability analysis. It is shown that synchronization is achieved for the case of constant power demand, by showing that the system is exponentially stable. For the case of time-varying power demand, we show the error trajectories are ultimately bounded, and the synchronization error is proportional to an upper bound on the derivative of the time-varying power demand. We simulate the controller performance on a four area network which is equivalent to the IEEE New England 39-Bus system.

在本文中，我们考虑了无损、连接和减网电力系统网络中的频率同步问题。频率同步是电力系统中的一个重要问题，因为频率偏差会导致电能质量下降、发电机跳闸等。 我们在四阶发电机模型网络中提出了一种基于负载估计器的共识算法，该算法在存在未知的随时间变化的电力需求。我们不假设需求是由已知模型产生的。我们采用多时间尺度的方法进行稳定性分析。通过显示系统是指数稳定的，表明在恒定功率需求的情况下实现了同步。对于时变电力需求的情况，我们展示了误差轨迹最终是有界的，并且同步误差与随时间变化的功率需求的导数的上限成正比。我们在相当于 IEEE 新英格兰 39 总线系统的四区域网络上模拟控制器性能。