Analytical segmental holomorphic embedding power flow method for integrated transmission and distribution networks
•An Analytical Segmental Holomorphic Embedding (ASHE) method is proposed to address power flow problems in ITD networks.•This proposed method constructs an analytical aggregation model for distribution networks using a specialized holomorphic embedding formulation to accurately capture voltage fluct...
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| Vydané v: | International journal of electrical power & energy systems Ročník 170; s. 110809 |
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| Hlavní autori: | , , |
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| Jazyk: | English |
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Elsevier Ltd
01.09.2025
Elsevier |
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| ISSN: | 0142-0615 |
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| Abstract | •An Analytical Segmental Holomorphic Embedding (ASHE) method is proposed to address power flow problems in ITD networks.•This proposed method constructs an analytical aggregation model for distribution networks using a specialized holomorphic embedding formulation to accurately capture voltage fluctuations at boundary buses.•Different from the existing iterative methods, a solving strategy is proposed to solve the holomorphic embedded power flow formulation recursively.•Numerical experiments demonstrate that the proposed method requires only one power flow calculation for both networks (transmission network and distribution network), significantly enhancing computational efficiency and convergence.
This paper proposes a novel analytical segmental holomorphic embedding (ASHE) based power flow method for integrated transmission and distribution (ITD) systems. In this method, the power flow calculation for ITD system is split into a main part for transmission network (TN) and a number of sub-problems for distribution networks (DNs). First, the sub-problems of DNs power flow are addressed using a specially designed holomorphic embedding (HE) formulation using an embedding factor to represent the voltage fluctuation at the boundary buses. Subsequently, an analytical polynomial expression, representing the power consumption of the DNs with respect to the voltage magnitude at the boundary buses, is derived from a single power flow calculation. Next, the analytical polynomial expression is integrated into the TN power flow equations, which is also solved by the HE method. Particularly, the TN and DNs exchange information only once. Numerical experiments demonstrate that the proposed method maintains the same accuracy as the method based on the traditional global model. Furthermore, it achieves better convergence and efficiency compared to the master–slave-splitting method under various scenarios, including DNs with distributed generations, heavily loaded DNs and unbalanced three-phase condition, which is especially suitable for large-scale systems. |
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| AbstractList | This paper proposes a novel analytical segmental holomorphic embedding (ASHE) based power flow method for integrated transmission and distribution (ITD) systems. In this method, the power flow calculation for ITD system is split into a main part for transmission network (TN) and a number of sub-problems for distribution networks (DNs). First, the sub-problems of DNs power flow are addressed using a specially designed holomorphic embedding (HE) formulation using an embedding factor to represent the voltage fluctuation at the boundary buses. Subsequently, an analytical polynomial expression, representing the power consumption of the DNs with respect to the voltage magnitude at the boundary buses, is derived from a single power flow calculation. Next, the analytical polynomial expression is integrated into the TN power flow equations, which is also solved by the HE method. Particularly, the TN and DNs exchange information only once. Numerical experiments demonstrate that the proposed method maintains the same accuracy as the method based on the traditional global model. Furthermore, it achieves better convergence and efficiency compared to the master–slave-splitting method under various scenarios, including DNs with distributed generations, heavily loaded DNs and unbalanced three-phase condition, which is especially suitable for large-scale systems. •An Analytical Segmental Holomorphic Embedding (ASHE) method is proposed to address power flow problems in ITD networks.•This proposed method constructs an analytical aggregation model for distribution networks using a specialized holomorphic embedding formulation to accurately capture voltage fluctuations at boundary buses.•Different from the existing iterative methods, a solving strategy is proposed to solve the holomorphic embedded power flow formulation recursively.•Numerical experiments demonstrate that the proposed method requires only one power flow calculation for both networks (transmission network and distribution network), significantly enhancing computational efficiency and convergence. This paper proposes a novel analytical segmental holomorphic embedding (ASHE) based power flow method for integrated transmission and distribution (ITD) systems. In this method, the power flow calculation for ITD system is split into a main part for transmission network (TN) and a number of sub-problems for distribution networks (DNs). First, the sub-problems of DNs power flow are addressed using a specially designed holomorphic embedding (HE) formulation using an embedding factor to represent the voltage fluctuation at the boundary buses. Subsequently, an analytical polynomial expression, representing the power consumption of the DNs with respect to the voltage magnitude at the boundary buses, is derived from a single power flow calculation. Next, the analytical polynomial expression is integrated into the TN power flow equations, which is also solved by the HE method. Particularly, the TN and DNs exchange information only once. Numerical experiments demonstrate that the proposed method maintains the same accuracy as the method based on the traditional global model. Furthermore, it achieves better convergence and efficiency compared to the master–slave-splitting method under various scenarios, including DNs with distributed generations, heavily loaded DNs and unbalanced three-phase condition, which is especially suitable for large-scale systems. |
| ArticleNumber | 110809 |
| Author | Sun, Kai Luo, Yongjian Liu, Chengxi |
| Author_xml | – sequence: 1 givenname: Yongjian surname: Luo fullname: Luo, Yongjian email: yongjianluo@whu.edu.cn organization: The School of Electrical Engineering and Automation, Wuhan University, Wuhan, Hubei 430072, China – sequence: 2 givenname: Chengxi surname: Liu fullname: Liu, Chengxi email: liuchengxi@whu.edu.cn organization: The School of Electrical Engineering and Automation, Wuhan University, Wuhan, Hubei 430072, China – sequence: 3 givenname: Kai surname: Sun fullname: Sun, Kai email: kaisun@utk.edu organization: Department of EECS, University of Tennessee, Knoxville, TN, USA |
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| Cites_doi | 10.1109/TPWRS.2018.2863042 10.1109/TPWRS.2017.2762473 10.1109/TPWRS.2018.2890169 10.1109/PESGM.2012.6344759 10.1109/TPWRS.2017.2750711 10.1109/61.25627 10.1016/j.ijepes.2020.106294 10.1109/TSG.2016.2582221 10.1109/TPWRS.2016.2515578 10.1109/ACCESS.2017.2768958 10.1109/TPWRS.2020.2994312 10.1109/59.99396 10.1109/TSG.2014.2336810 10.1109/TSG.2016.2571848 10.1109/61.85860 10.1109/TSG.2016.2604239 10.1109/TPWRS.2014.2381879 10.1016/j.ijepes.2019.105517 10.1109/TSG.2021.3097213 10.1109/TETCI.2020.3042812 10.1016/j.ijepes.2022.108549 10.1109/TSTE.2018.2795755 10.1016/j.ijepes.2022.108358 10.1109/TSG.2019.2901865 10.1109/TPWRS.2020.3038469 10.1016/j.ijepes.2016.04.045 10.1109/PESGM46819.2021.9638035 10.1016/j.ijepes.2007.08.004 |
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| Keywords | Power flow calculation Holomorphic embedding Analytical aggregation model Distributed generations Integrated transmission and distribution networks Convergence |
| Language | English |
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| Snippet | •An Analytical Segmental Holomorphic Embedding (ASHE) method is proposed to address power flow problems in ITD networks.•This proposed method constructs an... This paper proposes a novel analytical segmental holomorphic embedding (ASHE) based power flow method for integrated transmission and distribution (ITD)... |
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| SubjectTerms | Analytical aggregation model Convergence Distributed generations Holomorphic embedding Integrated transmission and distribution networks Power flow calculation |
| Title | Analytical segmental holomorphic embedding power flow method for integrated transmission and distribution networks |
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