A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks

Kunjie Tang; Shufeng Dong; Yonghua Song

doi:10.17775/CSEEJPES.2021.03680

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A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks

Regular Papers | 更新时间：2026-10-15

- A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks
- A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks
- 中国电机工程学会电力与能源系统学报(英文) 2024年10卷第3期页码：953-962
- 作者机构：
  
  1. College of Electrical Engineering, Zhejiang University,Hangzhou,China
  2. Department of Electrical and Computer Engineering, State Key Laboratory of Internet of Things for Smart City, University of Macau,Macao SAR,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2021.03680
  中图分类号：
- 纸质出版：2024-05-01
- 稿件说明：
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Kunjie Tang, Shufeng Dong, Yonghua Song. A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(3):953-962.

Kunjie Tang, Shufeng Dong, Yonghua Song. A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks[J]. CSEE Journal of Power and Energy Systems, 2024, 10(3): 953-962.
Kunjie Tang, Shufeng Dong, Yonghua Song. A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(3):953-962. DOI： 10.17775/CSEEJPES.2021.03680.

Kunjie Tang, Shufeng Dong, Yonghua Song. A Least-Squares-Based Iterative Method with Better Convergence for PF/OPF in Integrated Transmission and Distribution Networks[J]. CSEE Journal of Power and Energy Systems, 2024, 10(3): 953-962. DOI： 10.17775/CSEEJPES.2021.03680.

摘要

Abstract

The limitations of the conventional master-slave-splitting (MSS) method

which is commonly applied to power flow and optimal power flow in integrated transmission and distribution (I-T&D) networks

are first analyzed. Considering that the MSS method suffers from a slow convergence rate or even divergence under some circumstances

a least-squares-based iterative (LSI) method is proposed. Compared with the MSS method

the LSI method modifies the iterative variables in each iteration by solving a least-squares problem with the information in previous iterations. A practical implementation and a parameter tuning strategy for the LSI method are discussed. Furthermore

a LSI-PF method is proposed to solve I-T&D power flow and a LSI-heterogeneous decomposition (LSI-HGD) method is proposed to solve optimal power flow. Numerical experiments demonstrate that the proposed LSI-PF and LSI-HGD methods can achieve the same accuracy as the benchmark methods. Meanwhile

these LSI methods

with appropriate settings

significantly enhance the convergence and efficiency of conventional methods. Also

in some cases

where conventional methods diverge

these LSI methods can still converge.

关键词

Keywords

references

4. E. Rivero, D. Six, and H. Gerard. ( 2016, Dec. ). Basic schemes for TSO-DSO coordination and ancillary services provision. EU Horizon 2020 SmartNet Project . [Online ] . Available: https://smartnet-project.eu/wp-content/uploads/2016112/D1.3_20161202_V1.0.pdf.

5. A. Zegers and H. Brunner. ( 2014, Sep. ). TSO-DSO interaction: An overview of current interaction between transmission and distribution system operators and an assessment of their cooperation in smart grids . [Online ] . Available: https://www.ctc-n.org/resources/tso-dso-interaction-overview-current-interaction-between-transmission-and-distribution.

6. ENTSO (European Network of Transmission System Operators). ( 2015, Nov 9 ). General guidelines for reinforcing the cooperation between TSOs and DSOs . [Online ] . Available: https://www.entsoe.eu/Documents/Publications/Position%20papers%20and%20reports/entsoe_pp_TSO-DSO_web.pdf#search=tso%2Ddso.

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