Development of modal analysis tools for systems with transport delays

Abstract

[EN] This thesis proposes mathematical advances and computational methodologies to enable a comprehensive modal analysis using an accurate representation of transport delays. Contemplating the development of modal analysis tools for transport delay systems, the work presented here represents a breakthrough in the state of the art of stability and control of power systems. Given the recent widespread use of communication systems in power grids, the usual representation of transport delays turns the system model into a system with an infinite number of poles. As a result, traditional representations, such as state space and descriptor systems, become unfeasible. The proposed methodologies are analyzed through simulations in a tutorial system and in the Brazilian Interconnected System. The results obtained using the proposed formulation are compared with the historical representation and demonstrate the importance of more accurate modeling of transport delays in the evaluation of electromechanical stability problems.