VSC-HVDC setpoint adjustment for maximum grid utilisation under voltage constraints
Abstract
Voltage-source converter high-voltage direct current (VSC-HVDC) links offer controllable active and reactive power output, making them a promising asset for emergency voltage support. This paper presents an analytical method for adjusting the active power setpoint of a VSC-HVDC station to maximise loadability during voltage-stressed conditions. By exploiting the geometric structure of converter capability limits, a closed-form expression for the optimal setpoint is derived under combined current and voltage constraints. The method requires local voltage measurements and an estimate of a wide-area voltage angle difference, making it suitable for real-time emergency control without global optimisation. Validation on the Nordic Test System confirms that the analytically predicted optimum is consistent with the setpoint yielding the highest loadability, and that adjustments of active power setpoint can yield a more-than-proportional increase in loadability. The results further indicate robustness to angle estimate uncertainty.
Versions
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BibTeX
@misc{malmer2026vschvdc,
title = {{VSC-HVDC setpoint adjustment for maximum grid utilisation under voltage constraints}},
author = {Gabriel Malmer and Emil Hillberg and Olof Samuelsson},
howpublished = {arXiv},
year = {2026},
month = jul,
doi = {10.48550/arxiv.2607.13889},
eprint = {2607.13889},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.13889},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - VSC-HVDC setpoint adjustment for maximum grid utilisation under voltage constraints
AU - Gabriel Malmer
AU - Emil Hillberg
AU - Olof Samuelsson
PY - 2026
DA - 2026/07/15
PB - arXiv
DO - 10.48550/arxiv.2607.13889
UR - https://arxiv.org/abs/2607.13889
AB - Voltage-source converter high-voltage direct current (VSC-HVDC) links offer controllable active and reactive power output, making them a promising asset for emergency voltage support. This paper presents an analytical method for adjusting the active power setpoint of a VSC-HVDC station to maximise loadability during voltage-stressed conditions. By exploiting the geometric structure of converter capability limits, a closed-form expression for the optimal setpoint is derived under combined current and voltage constraints. The method requires local voltage measurements and an estimate of a wide-area voltage angle difference, making it suitable for real-time emergency control without global optimisation. Validation on the Nordic Test System confirms that the analytically predicted optimum is consistent with the setpoint yielding the highest loadability, and that adjustments of active power setpoint can yield a more-than-proportional increase in loadability. The results further indicate robustness to angle estimate uncertainty.
ER -