With the development of synchronized phasor measurement technique and the profound research on power systems

people observed that the disturbance of power-angle propagates in the power system with a speed much lower than that of light.The continuum model breaks through the limit of traditional concept.It studies electromechanical dynamics of large-scale power systems using wave motion principle

as is a completely novel viewpoint.Based on the vector field theory of the classical physics

this paper develops a nonlinear electromechanical wave equation in the continuum model for large-scale power systems.The analytical solution of the linearized wave equation about the equilibrium state shows the amplitude propagation mechanism of the electromechanical wave.Finally

the simulation results of a ring discrete system of 64 generators validate the proposed electromechanical wave continuum model for power systems.As a novel mathematical model

it might reveal the internal rules of electromechanical dynamics for large-scale power systems.