Robust Current Regulation of MMC-based MTDC Power Systems based on Lyapunov Inequality

Authors:

• Victor Reyes Dreke
• Rahul Rane
• Aleksandra Lekić 

Published in: 2026 International Conference on Smart Energy Systems and Technologies (SEST)

Abstract:

Multi-terminal DC (MTDC) transmission systems based on modular multilevel converters (MMCs) are a key
component of the envisioned future energy sector, where sustainability and efficiency are increasingly prioritized. To ensure their reliable operation, MMC currents must be regulated safely and rapidly under a wide range of uncertain operating conditions. Consequently, the design of current controllers faces a fundamental challenge: achieving fast transient response while maintaining robustness against uncertainties. This paper addresses this challenge by proposing a linear matrix inequality (LMI)–based design framework that leverages Lyapunov stability conditions
to synthesize a less conservative static state-feedback controller. The proposed design method explicitly accounts for system constraints, including input saturation and overcurrent limits. The proposed method’s effectiveness is assessed on the CIGRE MT-HVDC benchmark, simulated in RTDS®, and compared with existing methods.

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