TY - JOUR
T1 - Network equilibrium of coupled transportation and power distribution systems
AU - Wei, Wei
AU - Wu, Lei
AU - Wang, Jianhui
AU - Mei, Shengwei
N1 - Publisher Copyright:
© 2010-2012 IEEE.
PY - 2018/11
Y1 - 2018/11
N2 - This paper presents a holistic modeling framework for the interdependent transportation network and power distribution network. From a system-level perspective, on-road fast charging stations would simultaneously impact vehicle routing in the transportation system and load flows in the distribution system, therefore tightly couple the two systems. In this paper, a dedicated traffic user equilibrium model is proposed to describe the steady-state distribution of traffic flows comprised of gasoline vehicles and electric vehicles. It encapsulates route selections, charging opportunities, electricity prices, and individual rationalities of minimum travel expense in a convex traffic assignment problem over an extended transportation network. An adaptive path generation oracle is suggested to solve the problem in a tractable manner. Economic operation of the power distribution system is formulated as an alternating current optimal power flow problem. Convex relaxation is performed. The optimal generation dispatch and nodal electricity prices can be computed from a second-order cone program. It is revealed that an equilibrium state will emerge due to the rational behaviors in the coupled systems, which is characterized via a fixed-point problem. A best-response decomposition algorithm is suggested to identify the network equilibrium through iteratively solving the traffic assignment problem and the optimal power flow problem, both of which entail convex optimization. Illustrative examples are presented to validate related concepts and methods.
AB - This paper presents a holistic modeling framework for the interdependent transportation network and power distribution network. From a system-level perspective, on-road fast charging stations would simultaneously impact vehicle routing in the transportation system and load flows in the distribution system, therefore tightly couple the two systems. In this paper, a dedicated traffic user equilibrium model is proposed to describe the steady-state distribution of traffic flows comprised of gasoline vehicles and electric vehicles. It encapsulates route selections, charging opportunities, electricity prices, and individual rationalities of minimum travel expense in a convex traffic assignment problem over an extended transportation network. An adaptive path generation oracle is suggested to solve the problem in a tractable manner. Economic operation of the power distribution system is formulated as an alternating current optimal power flow problem. Convex relaxation is performed. The optimal generation dispatch and nodal electricity prices can be computed from a second-order cone program. It is revealed that an equilibrium state will emerge due to the rational behaviors in the coupled systems, which is characterized via a fixed-point problem. A best-response decomposition algorithm is suggested to identify the network equilibrium through iteratively solving the traffic assignment problem and the optimal power flow problem, both of which entail convex optimization. Illustrative examples are presented to validate related concepts and methods.
KW - Electric vehicle
KW - Wardrop user equilibrium
KW - interdependency
KW - locational marginal price (LMP)
KW - network equilibrium
KW - optimal power flow
KW - power distribution network
KW - static traffic assignment
KW - transportation network
UR - http://www.scopus.com/inward/record.url?scp=85023206433&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85023206433&partnerID=8YFLogxK
U2 - 10.1109/TSG.2017.2723016
DO - 10.1109/TSG.2017.2723016
M3 - Article
AN - SCOPUS:85023206433
SN - 1949-3053
VL - 9
SP - 6764
EP - 6779
JO - IEEE Transactions on Smart Grid
JF - IEEE Transactions on Smart Grid
IS - 6
M1 - 7967870
ER -