DC-link capacitance design for VSC-HVDC systems with a robust small-signal stability certificate under load uncertainties
File(s)
Accepted version
Author(s)
Type
Journal Article
Abstract
VSC-HVDC is often employed to connect generation hubs with load centers. Proper design of DC-link capacitance provides buffering against disturbances, thereby maintaining power supply stability in the presence of uncertainties. Existing studies have addressed the DC-link capacitance design problem under given loading conditions. However, it remains unclear how to determine an appropriate DC-link capacitance to maintain stability under uncertain load conditions. A key difficulty lies in ensuring that the stability condition holds across all potential scenarios, which could be computationally prohibitive. To address this challenge, we propose a computationally tractable method for designing the DC-link capacitance of a VSC-HVDC with a robust small-signal stability certificate. We first derive a sufficient condition to certify robust stability, formulated as a convex program whose number of constraints does not grow with that of the uncertainty. Then, we develop a capacitance design algorithm towards finding the smallest parameter that satisfies the condition within a desired precision. Finally, we report a capacitance-control co-design approach that further reduces the required capacitance. The effectiveness of the proposed work is demonstrated using simulations in MATLAB/Simulink
Date Issued
2026-07-16
Date Acceptance
2026-07-01
Citation
IEEE Transactions on Power Delivery, 2026
ISSN
0885-8977
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Journal / Book Title
IEEE Transactions on Power Delivery
Copyright Statement
Copyright © 2026 IEEE. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published online
Date Publish Online
2026-07-16