  Autonomous mobility on demand systems (AMoDS) will significantly affect the
operation of coupled power distribution-urban transportation networks (PTNs) by
the optimal dispatch of electric vehicles (EVs). This paper proposes an
uncertainty method to analyze the operational states of PTNs with AMoDS. First,
a PTN operation framework is designed considering the controllable EVs
dispatched by AMoDS as well as the uncontrollable driving behaviors of other
vehicle users. Then, a bi-level power-traffic flow (PTF) model is proposed to
characterize the interaction of power distribution networks (PDNs) and urban
transportation networks (UTNs). In the upper level, a social optimum model is
established to minimize the operating cost of PDNs and UTNs embedded with
controllable EVs. In the lower level, a stochastic user equilibrium (SUE) model
is established to minimize the operating cost of uncontrollable EVs and
gasoline vehicles (GVs) in UTNs. Finally, a probabilistic PTF analysis method
is developed to evaluate PTN operations under environmental and human
uncertainties. A regional sensitivity analysis method is proposed to identify
the critical uncertainties and quantify the impacts of their distribution
ranges on PTN operations. The effectiveness of the proposed method is verified
by the PTN consisting of a 21-bus PDN and a 20-node UTN.
