Frequency control is essential to maintain the stability and reliability of power systems. Traditionally, generation side controllers have been used to stabilize the system frequency upon contingencies; however, they incur high operational cost. Enabling demand response in next generation smart grids is thus a promising alternative to reduce the power system dependency on expensive controllers. In particular, demand response of distributed electric vehicles (EVs) via controlled charging/discharging power from/to the grid can be an effective method to help stabilize the system frequency. In this paper, we propose a new distributed frequency control algorithm for EVs with randomized responses and characterize its performance in a large-scale dynamic power system in terms of the mean of the system frequency over time, the mean frequency recovery time, and the expected number of responded EVs upon a contingency. Finally, we validate our analysis via simulations under a practical power system setup.
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