This study investigates the stability of residential‐level electric vehicle (EV) and grid dynamic interaction. The impedance‐based analytical approach is applied in a three‐phase distribution network with single‐phase EV household charging systems, which consist of voltage‐ and current‐controlled converters with LCL filters. The dynamic mathematical model of the interaction system is deduced from the topology and the control link of the EV charging system. The equivalent impedance model of the charging system is derived from the control loop, and the influence of LCL filters on the closed control loop is considered. Then, impedance‐ratio‐based stability analysis method is applied to the residential‐level interaction dynamics to characterize the influence of different parameters. Analytical and simulation results validate the effectiveness of the proposed method. The regular pattern arrived at can be applied in designing EV charging infrastructure. © 2018 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.