  Frequency response optimized integrators considering second order derivative
are proposed in this paper. Based on the proposed numerical integrators, and
others which also consider second order derivative, this paper puts forward a
novel power system transient simulation scheme. Instead of using a unique
numerical integrator, the proposed simulation scheme chooses proper ones
according to the dominant frequency component of the differential state
variables. With the proposed simulation scheme, computational efficiency is
improved by using large step sizes without sacrificing accuracy. Numerical case
studies demonstrate the validity and efficiency of the simulation scheme.
