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An income-based real-time pricing algorithm under uncertainties in smart grid

With regard to the interaction between several users with an energy provider when users are equipped with smart meters that are connected to the energy provider this paper proposes a real time pricing(RTP) algorithm based on income maximization(IM) for the future smart grid(SG).In this paper the proposed income based objective function in [1] is extended when user number variation is considered in presence of load uncertainty in SG. In this case three different systems called Poission Distribution System Analysis(PDSA),Uniform Distribution System Analysis(UDSA) and Constant System Analysis (CSA) which describe users' entry and departure type has been defined and compared. The effect of user number variation in presence of load uncertainty on average gap between generation and consumption as well as the price in 24 hours timing period is investigated. The in effect of increasing the number of users is also analysed.