Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems

The deployment of voltage source converters (VSC) to facilitate flexible interconnections between the AC grid, renewable energy system (RES) and Multi-terminal DC (MTDC) grid is on the rise. However, significant challenges exist in exploiting coordinated operations for such AC/VSC-MTDC hybrid power...

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Main Authors: Haixiao Li, Pedro P. Vergara, Robert Dimitrovski, Hongjin Du, Aleksandra Lekić
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:International Journal of Electrical Power & Energy Systems
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Online Access:http://www.sciencedirect.com/science/article/pii/S014206152400588X
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author Haixiao Li
Pedro P. Vergara
Robert Dimitrovski
Hongjin Du
Aleksandra Lekić
author_facet Haixiao Li
Pedro P. Vergara
Robert Dimitrovski
Hongjin Du
Aleksandra Lekić
author_sort Haixiao Li
collection DOAJ
description The deployment of voltage source converters (VSC) to facilitate flexible interconnections between the AC grid, renewable energy system (RES) and Multi-terminal DC (MTDC) grid is on the rise. However, significant challenges exist in exploiting coordinated operations for such AC/VSC-MTDC hybrid power systems. One of the most critical issues is how to achieve the optimal operation of such wide-area systems involving several power entities with as minimal communication burden as possible. To address this issue, an enhanced AC/DC optimal power flow (OPF) is specifically proposed. Firstly, a mixed-integer convex AC/DC OPF model is explicitly formulated to describe the optimal operation of such hybrid power systems. Subsequently, a nested distributed optimization method with double iteration loops is developed to offer optimal system-wide decision-making through a more “thorough” distributed communication architecture. In the outer iteration, the original AC/DC OPF problem is decomposed into several slave problems (SPs) associated with systems (including the AC grid and RESs) and one master problem (MP) associated with the integrated VSC-MTDC grid. Generalized Benders decomposition (GBD) serves to solve the master and slave problems iteratively. Techniques such as multi-cut generation and asynchronous updating are utilized to upgrade the GBD performance of computation efficiency and address communication delays. In the inner iteration, the master problem is continuously decomposed into multiple sub-MPs associated with individual VSCs. The alternating direction method of multipliers (ADMM) is employed to solve these sub-MPs iteratively. Proximal terms and heuristic approaches are embedded to enable parallel computation and handling of integer variables. Numerical experiment results finally validate the effectiveness of the proposed enhanced AC/DC OPF. The constructed AC/DC OPF model exhibits acceptable accuracy in terms of power flow calculation, and the developed nested distributed optimization method showcases decent convergence rate and solution optimality performances.
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publisher Elsevier
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series International Journal of Electrical Power & Energy Systems
spelling doaj-art-451195029a3e4220a0d6ab4a1dfacc8b2025-01-19T06:23:50ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-03-01164110365Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systemsHaixiao Li0Pedro P. Vergara1Robert Dimitrovski2Hongjin Du3Aleksandra Lekić4Faculty of Electrical Engineering, Mathematics & Computer Science, Delft University of Technology, Mekelweg 5, Delft, 2628 CD, Netherlands; School of Electrical and Electronic Engineering, Chongqing University of Technology, No. 69 Hongguang Rd, Chongqing, 400054, China; Corresponding author at: Faculty of Electrical Engineering, Mathematics & Computer Science, Delft University of Technology, Mekelweg 5, Delft, 2628 CD, Netherlands.Faculty of Electrical Engineering, Mathematics & Computer Science, Delft University of Technology, Mekelweg 5, Delft, 2628 CD, NetherlandsFaculty of Electrical Engineering, Mathematics & Computer Science, Delft University of Technology, Mekelweg 5, Delft, 2628 CD, Netherlands; Electrical System Design, TenneT TSO GmbH, Bernecker Straße 70, Bayreuth, 95448, GermanyFaculty of Electrical Engineering, Mathematics & Computer Science, Delft University of Technology, Mekelweg 5, Delft, 2628 CD, NetherlandsFaculty of Electrical Engineering, Mathematics & Computer Science, Delft University of Technology, Mekelweg 5, Delft, 2628 CD, NetherlandsThe deployment of voltage source converters (VSC) to facilitate flexible interconnections between the AC grid, renewable energy system (RES) and Multi-terminal DC (MTDC) grid is on the rise. However, significant challenges exist in exploiting coordinated operations for such AC/VSC-MTDC hybrid power systems. One of the most critical issues is how to achieve the optimal operation of such wide-area systems involving several power entities with as minimal communication burden as possible. To address this issue, an enhanced AC/DC optimal power flow (OPF) is specifically proposed. Firstly, a mixed-integer convex AC/DC OPF model is explicitly formulated to describe the optimal operation of such hybrid power systems. Subsequently, a nested distributed optimization method with double iteration loops is developed to offer optimal system-wide decision-making through a more “thorough” distributed communication architecture. In the outer iteration, the original AC/DC OPF problem is decomposed into several slave problems (SPs) associated with systems (including the AC grid and RESs) and one master problem (MP) associated with the integrated VSC-MTDC grid. Generalized Benders decomposition (GBD) serves to solve the master and slave problems iteratively. Techniques such as multi-cut generation and asynchronous updating are utilized to upgrade the GBD performance of computation efficiency and address communication delays. In the inner iteration, the master problem is continuously decomposed into multiple sub-MPs associated with individual VSCs. The alternating direction method of multipliers (ADMM) is employed to solve these sub-MPs iteratively. Proximal terms and heuristic approaches are embedded to enable parallel computation and handling of integer variables. Numerical experiment results finally validate the effectiveness of the proposed enhanced AC/DC OPF. The constructed AC/DC OPF model exhibits acceptable accuracy in terms of power flow calculation, and the developed nested distributed optimization method showcases decent convergence rate and solution optimality performances.http://www.sciencedirect.com/science/article/pii/S014206152400588XMulti-terminal DCAC/DC optimal power flowNested distributed optimizationGeneralized Benders decompositionAlternating direction method of multipliers
spellingShingle Haixiao Li
Pedro P. Vergara
Robert Dimitrovski
Hongjin Du
Aleksandra Lekić
Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems
International Journal of Electrical Power & Energy Systems
Multi-terminal DC
AC/DC optimal power flow
Nested distributed optimization
Generalized Benders decomposition
Alternating direction method of multipliers
title Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems
title_full Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems
title_fullStr Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems
title_full_unstemmed Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems
title_short Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems
title_sort enhanced ac dc optimal power flow via nested distributed optimization for ac vsc mtdc hybrid power systems
topic Multi-terminal DC
AC/DC optimal power flow
Nested distributed optimization
Generalized Benders decomposition
Alternating direction method of multipliers
url http://www.sciencedirect.com/science/article/pii/S014206152400588X
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AT robertdimitrovski enhancedacdcoptimalpowerflowvianesteddistributedoptimizationforacvscmtdchybridpowersystems
AT hongjindu enhancedacdcoptimalpowerflowvianesteddistributedoptimizationforacvscmtdchybridpowersystems
AT aleksandralekic enhancedacdcoptimalpowerflowvianesteddistributedoptimizationforacvscmtdchybridpowersystems