A Sparse Grid Scheme for Fast Transient Stability Simulation with Reduced Redundancy

This paper proposes an efficient scheme to reduce computational redundancy and speed up the dynamic simulation in online transient stability assessment of power systems. The paper first analyzes the mechanism of generating redundant computations in a traditional scheme that multiple combinations of operating points and faults lead to identical fault-cleared state, and then shows that the probability of redundancy will grow with the increase of diversified operating conditions in smart grid. The proposed scheme offline constructs a unique set of sampling points using sparse grid in the state space about the fault-cleared states and simulates the post-fault dynamic responses on those sampling points. In the online stage, the real-time post-fault trajectory can be recovered from the trajectories on the sampling points whenever the true fault-cleared state is obtained. The case study on IEEE 39-bus system shows great potential of the proposed approach.