Three-phase harmonic load flow method

Distribution networks are typically unbalanced due to loads being unevenly distributed over the three phases and untransposed lines. Additionally, unbalance is further increased with high penetration of single-phased distributed generators. Load and optimal power flows, when applied to distribution networks, use models developed for transmission grids with limited modification. The performance of optimal power flow depends on external factors such as ambient temperature and irradiation, since they have strong influence on loads and distributed energy resources such as photo voltaic systems. To help mitigate the issues mentioned above, the authors present a novel class of optimal power flow algorithm which is applied to low-voltage distribution networks. It involves the use of a novel three-phase unbalanced holomorphic embedding load flow method in conjunction with a non-convex optimization method to obtain the optimal set-points based on a suitable objective function. This novel three-phase load flow method is benchmarked against the well-known power factory Newton-Raphson algorithm for various test networks. Mann-Whitney U test is performed for the voltage magnitude data generated by both methods and null hypothesis is accepted. A use case involving a real network in Austria and a method to generate optimal schedules for various controllable buses is provided.

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A three-phase algorithm for state estimation in power distribution feeders based on the powers summation load flow method

Electric Power Systems Research ◽

10.1016/j.epsr.2015.01.021 ◽

2015 ◽

Vol 123 ◽

pp. 76-84 ◽

Cited By ~ 8

Author(s):

Manoel F. Medeiros Júnior ◽

Marcos A.D. Almeida ◽

Melinda C.S. Cruz ◽

Rafaela V.F. Monteiro ◽

Abmael B. Oliveira

Keyword(s):

State Estimation ◽

Power Distribution ◽

Load Flow ◽

Flow Method ◽

Three Phase

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A three-phase linear load flow solution based on loop-analysis theory for distribution system

COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering ◽

10.1108/compel-03-2018-0115 ◽

2019 ◽

Vol 38 (2) ◽

pp. 703-723 ◽

Cited By ~ 3

Author(s):

Hong wei Li ◽

Hairong Zhu ◽

Li Pan

Keyword(s):

Linear Approximation ◽

Distribution System ◽

Load Flow ◽

Loop Analysis ◽

Content Type ◽

Flow Solution ◽

Flow Method ◽

Analysis Theory ◽

Linear Load ◽

Three Phase

Purpose To realize the operation optimizing of today’s distribution power system (DPS), like economic dispatch, contingency analysis, and reliability and security assessment etc., it is beneficial and indispensable that a faster linear load flow method is adopted with a reasonable accuracy. Considering the high R/X branch ratios and unbalanced features of DPS, the purpose of this paper is to propose a faster and non-iterative linear load flow solution for DPS. Design/methodology/approach Based on complex function theory, the derivations of the injection current linear approximation have been proposed for the balanced and the single-, double- and three-phase unbalanced loads of DPS on complex plane. Then, a simple and direct linear load flow has been developed with loop-analysis theory and node-branch incidence matrix. Findings The methodology is appropriate for balanced and single-, double- and three-phase hybrid distribution system with different load models. It provides a fast and robust load flow method with a satisfactory accuracy to handle the problems of DPS whenever the load flow solutions are required. Research limitations/implications The distributed generators (DGs) with unity or fixed power factors can be easily included. But the power and voltage nodes cannot be dealt with directly and need to be further studied. Originality/value By combining the current linear approximation with the loop theory-based method, a new linear load flow method for DPS has been proposed. The method is valid and acute enough for balanced and unbalanced systems and has no convergent problems.

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