Adaptive Optimal Control for a One-Machine Infinite-Bus Power System

Network optimization especially in power industry is one of the main goals of system engineering. It not only reduces the cost of the system but also improves its stability. Among various methods of optimal control of power networks, like Linear Optimal Control (LOC), a model-based adaptive optimal method has been presented here which can also be used in multi machines systems with multimode high and low-frequency oscillations; although this paper only addresses linear and reduced machine-order equations which are derived from an equivalent system with an infinite-bus and a line. In this paper a model for the machine and the network is first presented and then by definitions of reference model and errors, these errors will be tend to zero in an optimal way, so that the system actually tracks the reference model. This method will be seen to be a general one and is applicable both in high and low frequencies.