Application of gas-fired units and power-to-gas devices promotes coupling between integrated electricity and natural gas system

providing an alternative solution for the wind power accommodation. Also

the traditional stochastic optimization and robust optimization methods may result in uneconomic or conservative decisions in dealing with the uncertainty problems. Based on this background

a two-stage dispatch model is proposed

in which gas-fired units and power-to-gas devices are taken as coupling elements

by using the distributed robust optimization method in economic dispatch problems of electricity and natural gas energy system. In the first stage of the model

the objective function is the total cost of the integrated system

and the forecast wind power information is also considered

and the day-ahead robust dispatch scheme containing unit commitment plan

unit planned output and planned gas consumption is established. In the second stage

the output of generation units and the gas supply of natural gas source are adjusted in the real-time dispatch. Also

the 1-norm and ∞-norm are simultaneously included to constrain the confidence set of wind power probability distribution in order to find the optimal solution under the worst probability distribution. The model is solved by the column-and-constraint algorithm. Finally

numerical results verify the effectiveness of dstributed robust optimization algorithm.