Efficient Solution Method for Power System TransientSimulation Based on Reused Right-Incomplete LU-Krylov

In power system transient simulation, the efficiency of solving large-scale sparse linear equation systems is a key bottleneck. This paper proposes an iterative solution framework based on the reuse of right ILU preconditioners, specifically for power grid scenarios, using generalized conjugate residuals (GCR). This framework improves the matrix condition number and convergence speed through preprocessing techniques. Experiments show that on the highest-order 80000-node example, the proposed method achieves a 61% speed improvement compared to traditional LU decomposition methods while maintaining the required engineering accuracy, demonstrating superior robustness and efficiency. This provides an effective solution for real-time simulation of complex power systems.