  The increasing global spread of electric vehicles (EVs) has introduced
significant interdependence between transportation and power networks. Most of
the previous studies on coupled networks focus on the formation of equilibrium
states between transportation and distribution networks but neglect diminishing
the adverse influences of the interaction, especially the voltage quality
problems caused by large and fluctuating charging loads. This paper constructs
a dynamic interaction model of coupled networks considering both economic and
safe operation. First, the dynamic traffic assignment problem is established
considering both departure time and route choices, and a dynamic queuing model
is designed to describe the EV queuing behaviors at fast charging stations
(FCSs). Then, the charging load fluctuation toll is designed as an ancillary
toll at FCSs and the bus voltage deviation penalty is considered in optimal
power flow to guide the interaction of two networks and tackle the voltage
deviation issue. Moreover, the equilibrium state is designed as a fixed-point
problem and the solution's existence is proved under mild assumptions. Third,
the linearization and convex relaxation techniques are used to improve
computational efficiency and a Monte Carlo simulation technique is developed to
evaluate the influence of uncertain travel demands on coupled networks.
Numerical simulations of coupled networks interaction analyses in deterministic
and uncertain conditions are presented.
