### Journals Information

Universal Journal of Electrical and Electronic Engineering Vol. 8(1), pp. 1 - 8
DOI: 10.13189/ujeee.2021.080101
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## Two Algorithms for Load Flow Analysis in Balanced Radial Distribution Systems

Rubén Villafuerte 1,*, Jesús Medina 1, Rubén A. Villafuerte S. 2, Victorino Juárez 1, Manuel González 3, Erika Barojas 1
1 Faculty of Engineering, Department of Electrical Engineering, Universidad Veracruzana, Veracruz, México
2 Department of Electrical Engineering, National Technological Institute, Campus Orizaba, Veracruz, México
3 Department of Biomedical Engineering, Puebla, Popular Autonomous University of the State of Puebla, México

ABSTRACT

This paper was developed with the purpose of knowing the behavior of radial distribution systems that operate in balanced conditions. Two algorithms were used to calculate the voltage at the network nodes and with them the load flow in each line. With the application of Kirchhoff's laws of electrical circuits, a one-dimensional arrangement of order N and a two-dimensional arrangement of order Nx5 are generated, both depend on the impedances and the shunt admittances. With these two arrangements, a non-linear function f (V1, V2 ,,, VN,, Sc) was generated, which depends on the voltages Vi and the complex power Sc demanded at each node of the distribution system. These equations were solved iteratively, two methods were applied; In the first method, the Halley formula with an acceleration factor α was used to solve the non-linear function f (V1, V2 ,,, VN,, Sc), in the second method, the Gaussian method was applied in the same way that it is used for load flows in interconnected systems. The two algorithms were applied to test systems of 40, 70 and 80 nodes, obtaining results similar to those reported in the specialized literature where they make use of other solution methods. In the author's opinion, the proposed algorithms represent alternatives for the study of energy distribution systems. An advantage of the methods is that they are simple code and there are differences between them, the second method has a faster convergence.

KEYWORDS
Algorithm, Distribution Systems, Halley's Method, Iterative Methods, Kirchhoff's Laws, Load Flows Non-Linear Equations

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Rubén Villafuerte , Jesús Medina , Rubén A. Villafuerte S. , Victorino Juárez , Manuel González , Erika Barojas , "Two Algorithms for Load Flow Analysis in Balanced Radial Distribution Systems," Universal Journal of Electrical and Electronic Engineering, Vol. 8, No. 1, pp. 1 - 8, 2021. DOI: 10.13189/ujeee.2021.080101.

(b). APA Format:
Rubén Villafuerte , Jesús Medina , Rubén A. Villafuerte S. , Victorino Juárez , Manuel González , Erika Barojas (2021). Two Algorithms for Load Flow Analysis in Balanced Radial Distribution Systems. Universal Journal of Electrical and Electronic Engineering, 8(1), 1 - 8. DOI: 10.13189/ujeee.2021.080101.