Proposing a linear model of energy hub operation using information gap decision theory

Energy hub is a concept relates various energy carriers which has been expanded in recent years. Operation of energy hub is often attended with uncertainties. Therefore, this paper presents a linear model based on information gap decision theory (IGDT) to solve the energy hub problem. This approach can consider plenty of uncertainties, simultaneously. Energy hub under study includes a combined heat and power (CHP) unit, a boiler, a wind turbine and trades electricity with day ahead and real time markets as well as natural gas network. Different uncertainties affect the problem. Here, the uncertainties of real time and day ahead electricity prices, wind turbine generation and natural gas prices are taken into account. Since, nature of IGDT is a bi-level optimization problem, it has been linearized using the Karush Kohen Tucker (KKT) conditions and strong duality theorem and then, it is solved. The simulations have been done on the mentioned case study verifying the efficiency of the proposed model.