Universal Journal of Electrical and Electronic Engineering Vol. 6(1), pp. 14 - 22
DOI: 10.13189/ujeee.2019.060102
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An Iterative Method to Solve Nonlinear Equations

Rubén Villafuerte ¹, Jesús Medina ¹, Rubén A. Villafuerte S. ², Victorino Juárez ¹, Manuel González ^3,*
1 Faculty of Engineering, Universidad Veracruzana, México
² National Institute of Technology, Campus Orizaba, México
³ Postgraduate in Biomedical Engineering Sciences, Universidad Popular Autónoma del Estado de Puebla (UPAEP), Puebla, México

ABSTRACT

In this paper, an iterative Newton-type method of three steps and fourth order is applied to solve the nonlinear equations that model the load flow in electric power systems. With the proposed method (N-1) non-linear equations are formulated and solved iteratively to calculate the Voltage in each node of an electrical system. The justification of the method and its theoretical preliminaries are presented in this paper. The proposed method is applied to IEEE test systems, and their results are compared obtaining a maximum error of 0.5%. From the results obtained, the proposed method is an alternative to solve load flows in electrical systems.

KEYWORDS
Electric Power Systems, Iterative Methods, Load Flows, Non-linear Equations, Newton-Raphson

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 , "An Iterative Method to Solve Nonlinear Equations," Universal Journal of Electrical and Electronic Engineering, Vol. 6, No. 1, pp. 14 - 22, 2019. DOI: 10.13189/ujeee.2019.060102.

(b). APA Format:
Rubén Villafuerte , Jesús Medina , Rubén A. Villafuerte S. , Victorino Juárez , Manuel González (2019). An Iterative Method to Solve Nonlinear Equations. Universal Journal of Electrical and Electronic Engineering, 6(1), 14 - 22. DOI: 10.13189/ujeee.2019.060102.