Next Article in Journal
PLSCO: An Optimization-Driven Approach for Enhancing Predictive Maintenance Accuracy in Intelligent Manufacturing
Previous Article in Journal
A Study on the Key Factors Influencing Power Grid Outage Restoration Times: A Case Study of the Jiexi Area
Previous Article in Special Issue
LEAD-Net: Semantic-Enhanced Anomaly Feature Learning for Substation Equipment Defect Detection
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Three-Phase Probabilistic Power Flow Calculation Method Based on Improved Semi-Invariant Method for Low-Voltage Network

1
Electric Power Science Research Institute, State Grid Qinghai Electric Power Company, Xining 810008, China
2
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
3
School of Electricity and New Energy, Three Gorges University, Yichang 443002, China
*
Author to whom correspondence should be addressed.
Processes 2025, 13(9), 2710; https://doi.org/10.3390/pr13092710 (registering DOI)
Submission received: 12 July 2025 / Revised: 7 August 2025 / Accepted: 19 August 2025 / Published: 25 August 2025
(This article belongs to the Special Issue Smart Optimization Techniques for Microgrid Management)

Abstract

Power flow analysis of low-voltage network (LVN) is one of the most crucial methods for achieving refined management of such networks. To accurately calculate the three-phase (TP) probabilistic power flow (PPF) distribution in LVN, this paper first draws on the injection-type Newton method; by leveraging TP power measurements relative to the neutral point obtained from smart meters, the injected power is expressed in terms of injected current equations, thereby establishing TP power flow models for various components within the low-voltage distribution transformer area grid. Subsequently, addressing the stochastic fluctuation models of load power and photovoltaic output, this paper employs conventional numerical methods and an improved Latin hypercube sampling technique. Utilizing linearized power flow equations and based on the improved semi-invariant method (SIM) and Gram–Charlier (GC) series fitting, a calculation method for three-phase PPF in low-voltage distribution transformer area grids using the improved semi-invariant is proposed. Finally, simulations of the proposed three-phase PPF method are conducted using the IEEE-13 node distribution system. The simulation results demonstrate that the proposed method can effectively perform three-phase PPF calculations for the distribution transformer area grid and accurately obtain probabilistic distribution information of the TP power flow within the grid.
Keywords: semi-invariant method; low-voltage power network; three-phase power flow; probabilistic power flow semi-invariant method; low-voltage power network; three-phase power flow; probabilistic power flow

Share and Cite

MDPI and ACS Style

Liu, K.; Wang, X.; Guo, H.; Zhang, W.; Liu, Y.; Zhou, C.; Zou, H. Three-Phase Probabilistic Power Flow Calculation Method Based on Improved Semi-Invariant Method for Low-Voltage Network. Processes 2025, 13, 2710. https://doi.org/10.3390/pr13092710

AMA Style

Liu K, Wang X, Guo H, Zhang W, Liu Y, Zhou C, Zou H. Three-Phase Probabilistic Power Flow Calculation Method Based on Improved Semi-Invariant Method for Low-Voltage Network. Processes. 2025; 13(9):2710. https://doi.org/10.3390/pr13092710

Chicago/Turabian Style

Liu, Ke, Xuebin Wang, Han Guo, Wenqian Zhang, Yutong Liu, Cong Zhou, and Hongbo Zou. 2025. "Three-Phase Probabilistic Power Flow Calculation Method Based on Improved Semi-Invariant Method for Low-Voltage Network" Processes 13, no. 9: 2710. https://doi.org/10.3390/pr13092710

APA Style

Liu, K., Wang, X., Guo, H., Zhang, W., Liu, Y., Zhou, C., & Zou, H. (2025). Three-Phase Probabilistic Power Flow Calculation Method Based on Improved Semi-Invariant Method for Low-Voltage Network. Processes, 13(9), 2710. https://doi.org/10.3390/pr13092710

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop