Work

Ensuring Solution Uniqueness in Fixed-Point-Based Harmonic Power Flow Analysis With Converter-Interfaced Resources: Ex-Post Conditions

Year: 2024

Type: article

Abstract: 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 CIGRÉ low-voltage benchmark microgrid.

Source: IEEE Transactions on Smart Grid

DOI: 10.1109/tsg.2024.3483446

Authors: Antonio Di Pasquale, Johanna Kristin Maria Becker, Andreas Martin Kettner, Mario Paolone

Institutions: University of Naples Federico II, École Polytechnique Fédérale de Lausanne, Paul Scherrer Institute

Language: English

Topic: Power Quality and Harmonics

Subfield: Electrical and Electronic Engineering

Field: Engineering

Domain: Physical Sciences

SDGs: Affordable and clean energy, Industry, innovation and infrastructure

Open Access status: green

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung