Saved in:
Bibliographic Details
Main Authors: Abdolmaleki, Babak, Bergna-Diaz, Gilbert
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.07102
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866914098843746304
author Abdolmaleki, Babak
Bergna-Diaz, Gilbert
author_facet Abdolmaleki, Babak
Bergna-Diaz, Gilbert
contents In this paper, we propose a centralized secondary control for the real-time steady-state optimization of multi-terminal HVdc grids under voltage and current limits. First, we present the dynamic models of the grid components, including the modular multilevel converter (MMC) stations and their different control layers. We also derive the quasi-static input-output model of the system, which is suitable for the steady-state control design. Second, we formulate a general optimization problem using this quasi-static model and find the Karush-Kuhn-Tucker optimality conditions of its solutions. Third, we propose a secondary control based on primal-dual dynamics to adjust the voltage setpoints of the dispatchable MMCs, with which the system asymptotically converges to a steady state that satisfies these optimality conditions. Fourth, we provide a communication triggering mechanism to reduce the communication traffic between the secondary control unit and the MMC stations. Finally, we verify our proposal for different case studies by adapting it to an offshore multi-terminal HVdc grid composed of heterogeneous MMC stations simulated in the MATLAB/Simulink environment. The problems of proportional current minimization and loss reduction are two special case studies.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07102
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal Steady-State Secondary Control of MT-HVdc Grids with Reduced Communications
Abdolmaleki, Babak
Bergna-Diaz, Gilbert
Systems and Control
Optimization and Control
In this paper, we propose a centralized secondary control for the real-time steady-state optimization of multi-terminal HVdc grids under voltage and current limits. First, we present the dynamic models of the grid components, including the modular multilevel converter (MMC) stations and their different control layers. We also derive the quasi-static input-output model of the system, which is suitable for the steady-state control design. Second, we formulate a general optimization problem using this quasi-static model and find the Karush-Kuhn-Tucker optimality conditions of its solutions. Third, we propose a secondary control based on primal-dual dynamics to adjust the voltage setpoints of the dispatchable MMCs, with which the system asymptotically converges to a steady state that satisfies these optimality conditions. Fourth, we provide a communication triggering mechanism to reduce the communication traffic between the secondary control unit and the MMC stations. Finally, we verify our proposal for different case studies by adapting it to an offshore multi-terminal HVdc grid composed of heterogeneous MMC stations simulated in the MATLAB/Simulink environment. The problems of proportional current minimization and loss reduction are two special case studies.
title Optimal Steady-State Secondary Control of MT-HVdc Grids with Reduced Communications
topic Systems and Control
Optimization and Control
url https://arxiv.org/abs/2502.07102