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Power Flow Investigation Using Cubic Spline Function a Case Study

Shabbiruddin (Sikkim Manipal Institute of Technology, Sikkim Manipal University, Rangpo, India), Karma Sonam Sherpa (Sikkim Manipal Institute of Technology, Sikkim Manipal University, Rangpo, India), Sandeep Chakravorty (Indus University, Gujarat, India) and Amitava Ray (Jalpaiguri Government Engineering College, Jalpaiguri, India)

Source Title: International Journal of Energy Optimization and Engineering (IJEOE) 7(4)

DOI: 10.4018/IJEOE.2018100101

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Abstract

This article presents an approach using cubic spline function to study Load Flow with a view to acquiring a reliable convergence in the Bus System. The solution of the power flow is one of the extreme problems in Electrical Power Systems. The prime objective of power flow analysis is to find the magnitude and phase angle of voltage at each bus. Conventional methods for solving the load flow problems are iterative in nature, and are computed using the Newton-Raphson, Gauss-Seidel and Fast Decoupled method. To build this method, this paper used cubic spline function. This approach can be considered as a ‘two stage' iterative method. To accredit the proposed method load flow study is carried out in IEEE-30 bus systems.

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1. Introduction

1.1. Method/Analysis

Methodology is presented as an improved method based on Cubic Spline functions for solving nonlinear equations. Further exploring the application of this function, it is proposed for load flow analysis in power transmission network.

1.2. Findings

The proposed methodology will help power distribution system planners to validate the planning model developed. Proposed method can replace the traditional way of load flow analysis which require sequential numbering pattern on nodes.

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