Distributed Primal-Dual Interior Point Framework for Analyzing Infeasible Combined Transmission and Distribution Grid Networks
<|reference_start|>Distributed Primal-Dual Interior Point Framework for Analyzing Infeasible Combined Transmission and Distribution Grid Networks: The proliferation of distributed energy resources has heightened the interactions between transmission and distribution (T&D) systems, necessitating novel analyses for the reliable operation and planning of interconnected T&D networks. A critical gap is an analysis approach that identifies and localizes the weak spots in the combined T\&D networks, providing valuable information to system planners and operators. The research goal is to efficiently model and simulate infeasible (i.e. unsolvable in general settings) combined positive sequence transmission and three-phase distribution networks with a unified solution algorithm. We model the combined T&D network with the equivalent circuit formulation. To solve the overall T&D network, we build a Gauss-Jacobi-Newton (GJN) based distributed primal dual interior point optimization algorithm capable of isolating weak nodes. We validate the approach on large combined T&D networks with 70k+ T and 15k+ D nodes and demonstrate performance improvement over the alternating direction method of multipliers (ADMM) method.<|reference_end|>
@article{ali2024distributed,
    title={Distributed Primal-Dual Interior Point Framework for Analyzing
  Infeasible Combined Transmission and Distribution Grid Networks},
    author={Muhammad Hamza Ali and Amritanshu Pandey},
    journal={arXiv preprint arXiv:2409.14532},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.14532},
    primaryClass={eess.SY cs.SY}
}