Title :
A Numerical Analysis of Load-Flow Calculation Methods
Author :
Braess, D. ; Grebe, E.
Author_Institution :
Institut fÿr Mathematik Ruhr-Universitat Bochum
fDate :
7/1/1981 12:00:00 AM
Abstract :
An analysis of numerical procedures for treating load-flow problems is performed. It is shown that the Newton-(Raphson) method and a Z-matrix method yield the unique solution provided that a characteristic number ¿of the network is not larger than 0.25. The number ¿corresponds to the losses. We form an a priori estimate for the number of iterations which are sufficient to achieve a prescribed accuracy of the numerical solution. Modifications of the Newton method for treating networks with larger losses are given.
Keywords :
Admittance; Convergence of numerical methods; Impedance; Load flow analysis; Newton method; Nonlinear equations; Numerical analysis; Performance analysis; Power system planning; Voltage;
Journal_Title :
Power Apparatus and Systems, IEEE Transactions on
DOI :
10.1109/TPAS.1981.316658
