Analogies in modelling wireless network stability and advanced power grid control

Wireless channel between power producer and power consumer will play an important role when designing future smart grids. In order to optimize the performance of a smart grid, the knowledge of power price information at the consumer end and the knowledge of power demand information at the power producer side is important. In this paper, the modeling of advanced power grid with different cooperative sources of conventional and renewable power generation and with different power price knowledge is proposed. The control problem is to exploit the available information in the power grid in such a way that the power grid adapts to changes both in power production and power demand minimizing the power losses in the system. We use dynamic optimization methods to implement a dynamic control policy, which optimizes the performance of the power grid, when only the power demand information is assumed to be available at the power producer side. In addition, using both the instantaneous power demand knowledge at the power producer side and the instantaneous power price information at the power consumer end, it is shown that the dynamic control policy not only minimizes the power losses but also the balance between the power generation and power demand is achieved. The basis for the models and analysis presented in this paper are the analogies between the power grid control and optimum information flow control in communication networks.