Abstract
This paper presents an efficient algorithm to solve the radial distribution power flow problem in complex mode. The relationship between the complex branch powers and complex bus powers is derived as a non singular square matrix known as element incidence matrix. The power flow equations are rewritten in terms of a new variable as linear recursive equations. The linear equations are solved to determine the bus voltages and branch currents in terms of new variable as complex numbers. The advantage of this algorithm is that it does not need any initial value and easier to develop the code since all the equations are expressed in matrix format. It is tested on the distribution systems available in the literature. This proposed method could be applied to distribution systems having voltage-controlled buses also. The results prove the efficiency of the proposed method. Keywords: radial distribution power flow, element incidence matrix, transmission loss, linear recursive equations.
Highlights
Z ij -Impedance of element ij TLij -Transmission loss of element ij Introduction The distribution systems are characterized by their prevailing radial nature and high R/X ratio
The basis for the all the sweep methods is that they need an initial value for the voltages and the updating is done in forward and backward way implementing the kirchoff’s equations
Expósito and Ramos [8] have proposed a radial load flow technique based on solving a system of equations in terms of new variables and using the Newton approach
Summary
The power flow equations for a radial distribution system are derived as the relationship between the specified complex bus powers and the bus voltages. Let Sij is the complex power flowing from bus ‘i’ to bus’j’. Indian Society for Education and Environment “Algorithm for Radial distribution power flow”
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