A Three-phase Holomorphic Embedding Power Flow Algorithm for the Distribution Network Based on Adaptive Restart

ZHANG Yi; CAI Weijie; LI Chuandong; LAN Tian; LIN Zhiyu; {{custom_author.name_en}}

doi:10.13334/j.0258-8013.pcsee.242848

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A Three-phase Holomorphic Embedding Power Flow Algorithm for the Distribution Network Based on Adaptive Restart

更新时间：2026-10-12

- A Three-phase Holomorphic Embedding Power Flow Algorithm for the Distribution Network Based on Adaptive Restart
- Vol. 46, Issue 7, Pages: 2838-2851(2026)
- 作者机构：
  
  1. 福州大学电气工程与自动化学院,福建省,福州市,350108
  2. 福建农林大学机电工程学院,福建省,福州市,350100
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.242848
  CLC：
- Received：05 April 2026，
  
  Published：2026
- 稿件说明：
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ZHANG Yi, CAI Weijie, LI Chuandong, et al. A Three-phase Holomorphic Embedding Power Flow Algorithm for the Distribution Network Based on Adaptive Restart[J]. 2026, 46(7): 2838-2851.
DOI：

ZHANG Yi, CAI Weijie, LI Chuandong, et al. A Three-phase Holomorphic Embedding Power Flow Algorithm for the Distribution Network Based on Adaptive Restart[J]. 2026, 46(7): 2838-2851. DOI： 10.13334/j.0258-8013.pcsee.242848.

摘要

针对牛顿-拉夫逊(Newton Raphson，NR)法和全纯嵌入潮流算法(holomorphic embedding load-flow method，HELM)在大系统、重负载情况下存在的收敛性问题，提出一种基于自适应重启的配电网全纯嵌入三相潮流算法(adaptive restart three-phase load flow method based on holomorphic embedding，ARHELM)。首先，以经典三相HELM作为潮流计算初始模型，将易于获取的空载状态作为其“芽解”；其次，推导灵活三相HELM潮流算法模型，并作为经典HELM重启后的潮流计算模型，其可任意选取“芽解”进行潮流计算；再次，针对潮流求解过程中出现的收敛缓慢和不收敛问题，提出不同的自适应重启动机制，提高计算效率，保障结果可靠性；最后，在IEEE 33、改造IEEE 123以及Case 1152系统上，将所提算法与NR法、经典HELM、快速灵活的全纯嵌入算法(fast and flexible holomorphic embedding power flow method，FFHEM)进行对比分析，验证所提算法在大规模、重负载配电网中具有的良好收敛性能。

Abstract

Aiming at the convergence problem of Newton- Raphson (NR) method and holomorphic embedding load-flow method (HELM) in the case of large system and heavy load

in this paper

an adaptive restart three-phase load flow method based on holomorphic embedding (ARHELM) is proposed. First

the classical three-phase HELM is used as the initial model of power flow calculation. The no-load state which is easy to obtain is taken as its germ. Then

the flexible three-phase HELM power flow algorithm model is derived and used as the power flow calculation update model after the classical HELM restart

which can arbitrarily select the germ to restart the power flow calculation. Next

aiming at the problem of slow convergence and non-convergence in the process of power flow solution

different adaptive restart mechanisms are proposed to improve the calculation efficiency and ensure the reliability of the results. Finally

the proposed algorithm is compared with the NR method

classical HELM

and the fast and flexible holomorphic embedding power flow method (FFHELM) using the IEEE 33-bus

modified IEEE 123-bus

and Case 1152 systems. The good convergence performance of the proposed algorithm in large power grid

heavy load and ill-conditioned system is verified.

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