2015/05/27 by Martin Andreasson, Andreasson, Martin, Roger Wiget +8 · 1 citation
Engineering · Mathematics · #FOS: Mathematics #Frequency Control in Power Systems #HVDC Systems and Fault Protection #Microgrid Control and Optimization #Optimization and Control (math.OC) #math.OC
paper · pdf · doi:10.48550/arxiv.1505.07402
arXiv admin note: text overlap with arXiv:1503.07358, arXiv:1409.8013
openalex publication_date 2015/05/27 · arxiv created 2015/12/11 · arxiv updated 2015/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we propose a distributed dynamic controller for sharing frequency control reserves of asynchronous AC systems connected through a multi-terminal HVDC (MTDC) grid. We derive sufficient stability conditions, which guarantee that the frequencies of the AC systems converge to the nominal frequency. Simultaneously, the global quadratic cost of power generation is minimized, resulting in an optimal distribution of generation control reserves. The proposed controller also regulates the voltages of the MTDC grid, asymptotically minimizing a quadratic cost function of the deviations from the nominal voltages. The proposed controller is tested on a high-order dynamic model of a power system consisting of asynchronous AC grids, modelled as IEEE 14 bus networks, connected through a six-terminal HVDC grid. The performance of the controller is successfully evaluated through simulation.