Improvement of Fuzzy Newton Power Flow Convergence

Ligang Zhao, Hua Zheng (), Hongyue Zhen, Li Xie, Yuan Xu and Xianchao Huang
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Ligang Zhao: CSG Electric Power Research Institute China Southern Power Grid, Guangzhou 510663, China
Hua Zheng: School of Electrical & Electronic Engineering, North China Electric Power University, Beijing 102206, China
Hongyue Zhen: CSG Electric Power Research Institute China Southern Power Grid, Guangzhou 510663, China
Li Xie: School of Electrical & Electronic Engineering, North China Electric Power University, Beijing 102206, China
Yuan Xu: CSG Electric Power Research Institute China Southern Power Grid, Guangzhou 510663, China
Xianchao Huang: School of Electrical & Electronic Engineering, North China Electric Power University, Beijing 102206, China

Energies, 2023, vol. 16, issue 24, 1-14

Abstract: In order to address the convergence issue in fuzzy power flow calculations, this paper proposes an analytical approach based on the Levenberg–Marquardt method, aiming to improve the convergence of the fuzzy Newton power flow method. Firstly, a detailed analysis is conducted on the convergence theorem and convergence behavior of the fuzzy Newton method, revealing its poor convergence when the initial values are not properly selected. The Levenberg–Marquardt method is then selected as a means to enhance the convergence of the fuzzy Newton power flow calculations, specifically to tackle the problem of initial value deviation. Since the Jacobian matrix has a significant impact on the convergence region of the power flow, this paper reconstructs the Jacobian matrix based on the Levenberg–Marquardt method, effectively enlarging the convergence region. Through validation experiments on the IEEE 118 standard nodes and simulation comparative analysis, the results confirm the method’s effectiveness in resolving the problem of initial value deviation and notably enlarging the convergence region, thereby improving the convergence of power flow calculations.

Keywords: Levenberg–Marquardt; power flow calculation; convergence; fuzzy-Newton method (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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