Application of Gramians method for smart grid investigations on the example of the Russky Island power network

Abstract

The paper deals with a method of stability investigation for Smart Grid on the example of the Russky Island power network at the end of continental Russia in the Pacific region. The new forms of cross-Gramians and Gramians of controllability and observability for both finite and infinite time were used for the investigation. The software package MATLAB/Simulink was applied for the model creation and stability investigation of the Russky Island power network. The advantage of the new method of examination for stability compared with the use of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -norm transfer matrix of the system is shown.