Interval optimization for integrated electrical and natural-gas systems with power to gas considering uncertainties

摘要

This paper is aimed at the optimal operation of the integrated electrical and natural-gas systems (IENGS) with power to gas (P2G) considering uncertainties of the wind turbine (WT) and photovoltaic (PV) via interval mathematics. The optimization model of the IENGS is established under deterministic conditions. The model takes the operation and maintenance cost, environmental cost, purchasing electricity/gas costs and selling electricity/gas incomes into account. Based on the interval arithmetic, the outputs of WTs and PVs are represented in interval forms and the interval optimization model is established considering the uncertainties of WTs and PVs. The model is converted into a mixed-integer linear programming (MILP) model and solved by the interval linear programming method. In the numerical test, the simulation results under deterministic conditions and the influence of the P2G device are analyzed, then the interval outputs of components and the operation cost of the IENGS are discussed when the uncertainties of the WT and PV are considered. The simulation results show that a higher conversion rate of P2G will lower the operation cost of the IENGS and how the outputs of components change under different uncertain levels of the WT and PV.