2014/06/23 by Martin Andreasson, Andreasson, Martin, Dimos V. Dimarogonas +5
Engineering · #FOS: Mathematics #Frequency Control in Power Systems #HVDC Systems and Fault Protection #Microgrid Control and Optimization #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1406.5839
openalex publication_date 2014/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
High-voltage direct current (HVDC) is a commonly used technology for long-distance electric power transmission, mainly due to its low resistive losses. In this paper a distributed controller for multi-terminal high-voltage direct current (MTDC) transmission systems is considered. Sufficient conditions for when the proposed controller renders the closed-loop system asymptotically stable are provided. Provided that the closed loop system is asymptotically stable, it is shown that in steady-state a weighted average of the deviations from the nominal voltages is zero. Furthermore, a quadratic cost of the current injections is minimized asymptotically.