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The sectionalized homogeneous model of power systems and its analytical solution

With the development of power grid interconnection, once a disturbance occurs, the propagation of the disturbance might cause cascading events and even large blackouts. Therefore, the reveal of disturbance propagation mechanism is of great importance for the power system security. Electromechanical wave (EMEW) theory attempts to explore the power system dynamics from the point of view of wave mechanics and open a new path to the mechanism of disturbance propagation. In this paper, a novel approach is presented to model the power network as a sectionalized homogeneous medium (SHM) and depict the process of disturbance propagation. The impact scope of the moment of inertia of a generator is analyzed to make the generator's lump mass to be homogenized. Then the SHM of a chained inhomogeneous power system is proposed. Furthermore, the corresponding equation for electromechanical wave propagation is established. The analytical solution of the proposed equation is derived. The formulations and detailed derivations are given in the paper. The computer simulations are carried out in a chained power network and the results demonstrate the effectiveness of the proposed model and its analytical solution.