Analytical Calculation of P-Q Envelope Curves: Extended Technical Companion

This technical report provides a self-contained analytical derivation of the steady-state P-Q capability envelope of grid-forming converters. It serves as an extended companion to the CIRED 2025 conference paper "Operational Limits and P-Q Capability Diagram Analysis of Grid-Forming Converters in Weak Grids".

Authors

Ziqian Zhang (ORCID: https://orcid.org/0000-0002-5420-8566)

Publication Details

Journal: Zenodo (CERN European Organization for Nuclear Research)
Published: 2026-05-10
DOI: https://doi.org/10.5281/zenodo.20111765
Primary Topic: HVDC Systems and Fault Protection
Type: article
Field-Weighted Citation Impact: 0.00

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article

Analytical Calculation of P-Q Envelope Curves: Extended Technical Companion

Ziqian Zhang

May 10, 2026

Zenodo (CERN European Organization for Nuclear Research)

HVDC Systems and Fault Protection

article

Analytical Calculation of P-Q Envelope Curves: Extended Technical Companion

Ziqian Zhang

May 10, 2026article en

Abstract

Zenodo (CERN European Organization for Nuclear Research)

Openalex Percentile: Top 8%

HVDC Systems and Fault Protection

DOI Open Access PDF OpenAlex

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Analytical Calculation of P-Q Envelope Curves: Extended Technical Companion — Ziqian Zhang · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS