Decoupled Space-Time Parallel Solver Integrating Parareal and MATE for Scalable Transient Stability Simulation

This paper presents a decoupled space-time parallel solver that integrates the Parareal algorithm (parallelin-time) with the Multi-Area Thevenin Equivalent (MATE) method (parallel-in-space) for simulating the transient stability of large-scale power systems. A shared-memory implementation of MATE, exploiting both spatial and task-level parallelism, is incorporated into the Master-Worker (PM) and Distributed (PD) Parareal paradigms. The hybrid solver concurrently employs two high-performance computing (HPC) frameworks-OpenMP for MATE and message passing interface (MPI) for Parareal-to achieve scalability across both domains. Two implementation strategies are examined: homogeneous configurations with equal MATE partitions and heterogeneous configurations with unequal partitions. Simulation results on large systems with detailed generator and composite load models demonstrate that homogeneous scheduling complements Parareal, achieving nearly linear speedup while preserving MATE's expected performance. Consequently, the overall speedup of the hybrid solver approximates the product of the individual MATE and Parareal speedups. Heterogeneous scheduling offers performance benefits when uniform resource allocation is infeasible, allowing for flexible processor deployment across diverse computing environments. Supplementary Material File (hybridparareal.pdf) - Download - 1.40 MB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

Authors Funding Information STR/2020/000019 Gurunath Gurrala Metrics & Citations Metrics Article Usage 65views 30downloads Citations Download citation Francis C Joseph, Gurunath Gurrala. Decoupled Space-Time Parallel Solver Integrating Parareal and MATE for Scalable Transient Stability Simulation. Authorea. 20 March 2026. DOI: https://doi.org/10.22541/au.177401905.53439903/v1 DOI: https://doi.org/10.22541/au.177401905.53439903/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.