The invention discloses an implicit-projection-based method for simulating the stability of an active power
distribution system. According to an active power
distribution system stability
simulation model with the rigidity characteristics, based on
system simulation parameters and load flow calculation results, the implicit-projection-based method includes the steps that firstly, a plurality of steps of small-step-length integral calculation are carried out through an internal
integrator, wherein the step length is h, and any explicit integral
algorithm with the accuracy higher than the second order can be adopted; secondly, a step of large-step-length integral calculation is carried out with the step length Mh through an external
integrator based on an implicit prediction-
correction method according to the calculation result of the internal
integrator. By means of the implicit-projection-based method, simulating calculation of
system faults can be achieved, the implicit-projection-based method is a second-order accuracy
algorithm and has the good
numerical stability, a
numerical stability domain of the implicit-projection-based method is hardly changed along with changes of the multiple of the step length of the external integrator, the performance of the
algorithm is better than that of the explicit projection integral algorithm and that of a traditional implicit trapezoidal method, the implicit-projection-based method is suitable for rapidly achieving the aim of simulating the stability of the active power
distribution system with the multi-time scale characteristics, and a foundation is laid for efficiently and reliably developing an active power distribution
system simulation program.