The invention discloses an electromagnetic transient implicit
reduced order simulation method based on a matrix index. The electromagnetic transient implicit
reduced order simulation method comprises the steps of constructing a high-dimensional nonlinear electromagnetic transient
simulation model of a power
system to be researched under a state analysis framework; setting simulation parameters such as a dimension number m of a dimension reduction sub space, and initializing and starting a simulation program; generating an augmentation state matrix and a
state vector within each simulation step length, and generating an
orthogonal basis of the dimension reduction Krylov sub space by an Arnoldi
algorithm; approximating a high-dimension matrix index of an original
system by a low-dimension matrix index according to a Krylov sub space approximating formula of the matrix index, calculating a nonlinear equation to obtain a
state variable at the current moment, and boosting one step length for simulation; performing iteration in sequence until simulation is ended. According to the electromagnetic transient implicit
reduced order simulation method, high value precision and high rigid
processing performance of a matrix index integration method are kept, and
general purpose modeling simulation capacity is realized on the nonlinear characteristic of the power
system; by the implicit reduced order method, the application range of the matrix index integration method in the field of large-scale power system electromagnetic transient simulation is expanded.