A Two-layer Game Model for Power-transportation Coupled Networks Considering Demand Elasticity——Based on Quasi-variational inequalities
A surge in EVs is bound to greatly impact on urban power grids and transportation networks.Studying how to accurately describe the impact of electric vehicle behaviors on the power-transportation network is of great significance.This paper considers the elasticity of demand for electric vehicles and their charging behaviors and introduces the quasi-variational inequalities(QVIs)to address the complexity of the game behavior modeling in the coupled network as well as its solution challenges.First,a hybrid traffic flow model is built,which includes the elastic demand and charging behavior of EVs.On this basis,a QVI framework is proposed to characterize the elastic mixed user equilibrium state,and its equivalence to the equilibrium state is proved.Secondly,a second-order cone programming model for the distribution network considering charging loads is proposed,and the coupling relationship between the two networks is established.Then,the mechanism of the coupled network is described as a double-layer game problem using fixed-point mapping.Given the characteristics of inner and outer game problems,an outer fixed point iteration algorithm and an inner viscous projection approximation algorithm are developed respectively to form a complete method for identifying the equilibrium state of the two-layer game.The simulation based on a test system in Fuzhou verifies the effectiveness of the modeling and solving methods in this paper,which shows the necessity of considering the elastic demand of EVs for the equilibrium state analysis of the coupled networks.
quasi-variational inequality(QVI)elastic demandpower-transportation coupled networktwo-layer game
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