A Comparative Analysis of Methods of Polynomial Coefficients Determination for Reliability Indices of Ilorin Distribution Systems

Distribution system delivers the transmitted energy to the end users which are customers. This paper develops a generalized polynomial model and compares the coefficients for the assessment of reliability indices of Ilorin distribution system feeders. The results of the coefficients obtained were validated by subjecting the polynomial model to three methods namely: Lagrange Polynomial, Newton and Chebychev Polynomial function methods. The results of the work showed that average values of-7x10⁻⁴, 0.00212, -0.0256, 0.1549, 0.4865 and 0.7049 were obtained as the coefficient values from the Lagrange, Newton and Chebychev polynomial function methods which compare favourably well with the coefficient values of-7x10⁻⁴, 0.0021, -0.0257, 0.1549, -0.4865 and 0.7048 obtained from the simulation results. The knowledge of these coefficients will form a basis for adequate planning and management of power distribution systems.