PROJECT TITLE :

Parareal in Time for Fast Power System Dynamic Simulations

ABSTRACT:

Recent advancements in high-performance parallel computing platforms and parallel algorithms have significantly enhanced the opportunities for real-time power system protection and control. This paper investigates application of Parareal in time algorithm for fast dynamic simulations. Parareal algorithm belongs to the category of temporal decomposition ways that divide the time interval into sub-intervals and solve them concurrently. Time-parallel algorithms face the difficulty of providing correct initial conditions for all the sub-intervals that impact the convergence rates. Parareal overcomes this difficulty by using an approximate trajectory. It's become standard lately for long transient simulations (e.g., molecular dynamics, fusion, reacting flows). This paper presents an approach for reliable implementation of Parareal with detailed models of power systems together with saturation. Windowing approach is proposed for improving the convergence. Parareal is compared with the Newton-based mostly time-parallel method. Effectiveness of the algorithm is analyzed by parallel emulation using extensive case studies on ten-generator thirty-nine-bus system and 327-generator 2383-bus system for various disturbances. Parareal with simulation windows of one s have shown convergence in one to 3 iterations for majority of the simulated cases, regardless of the dimensions of the system and nature of the disturbance. All the cases tested have converged with the proposed implementation.