RPM-Based Approach to Extract Power System Steady State and Small Signal Stability Information From the Time-Domain Simulation

Recursive projection method (RPM) is investigated to extract power system steady state and small signal stability information from time-domain simulation code (TDSC). RPM takes outputs from TDSC to identify an unstable/slow invariant subspace of the full state space. On this subspace, a Newton type of method is applied to enhance convergence for unstable/slowly-converging modes. While on the complement, fixed point iteration of TDSC is kept to evolve stable/fast-decaying modes. Dominant eigenspectrum of the integration scheme is also obtained as byproduct, from which system small signal stability features can be reconstructed. Thus, RPM can enhance convergence of fixed point iteration and enable TDSC to perform small signal stability analysis. At the same time, modeling and numerical advantages of original TDSC are preserved and extra programming costs are saved. The approach is validated by examples on WECC nine-bus, New England 39-bus, and 230-bus systems.