Ensuring Solution Uniqueness in Fixed-Point-Based Harmonic Power Flow Analysis with Converter-Interfaced Resources: Ex-post Conditions
<|reference_start|>Ensuring Solution Uniqueness in Fixed-Point-Based Harmonic Power Flow Analysis with Converter-Interfaced Resources: Ex-post Conditions: Recently, the authors of this paper proposed a method for the Harmonic Power-Flow (HPF) calculus in polyphase grids with widespread deployment of Converter-Interfaced Distributed Energy Resources (CIDERs). The HPF problem was formulated by integrating the hybrid nodal equations of the grid with a detailed representation of the CIDERs hardware, sensing, and controls as Linear Time-Periodic (LTP) systems, and solving the resulting mismatch equations using the Newton-Raphson (NR) method. This work introduces a novel problem formulation based on the fixed-point algorithm that, combined with the contraction property of the HPF problem, provides insights into the uniqueness of its solution. Notably, the effectiveness of the fixed-point formulation and the uniqueness of the solution are evaluated through numerical analyses conducted on a modified version of the CIGRE low-voltage benchmark microgrid.<|reference_end|>
@article{di pasquale2024ensuring,
    title={Ensuring Solution Uniqueness in Fixed-Point-Based Harmonic Power Flow
  Analysis with Converter-Interfaced Resources: Ex-post Conditions},
    author={Antonio Di Pasquale, Johanna Kristin Maria Becker, Andreas Martin
  Kettner, Mario Paolone},
    journal={arXiv preprint arXiv:2403.12595},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.12595},
    primaryClass={eess.SY cs.SY}
}