A comparative study of LQR, LQG, and integral LQG controller for frequency control of interconnected smart grid

Renewable energy plays the vital role to increase the power generation of smart grid. A smart grid consists of smart meters, smart appliances, energy efficient resources and renewable energy resources. The integration of renewable energy in a smart grid is challenging because of its frequency fluctuation in the power grid. The Plug-in hybrid electric vehicles (PHEV) are expected to install in customer side. The PHEV can be applied to stabilize the power and frequency fluctuation. This paper shows a comparative study of Linear Quadratic Regulator (LQR), Linear Gaussian Control (LQG) and Integral Linear Quadratic Gaussian Controller (ILQG) to control the frequency of interconnected power systems. In order to maintain the frequency stabilization, the three controllers are developed in this paper. The performance of these controllers is presented using Matlab simulation. The simulation results show that the integral linear quadratic gaussian controller provides best as compared to LQR and LQG controller.