This project focuses on implementing two essential numerical techniques — Gauss-Seidel and Newton-Raphson methods — to perform load flow analysis in power systems. These methods are widely used in ...

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Abstract: Power flow analysis is a must while planning, designing and expanding power networks. There are various methods proposed in literature for power flow studies. In this work, power plow ...

SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 804-822 (19 pages) Interval Newton methods in conjunction with generalized bisection can form the basis of algorithms that find all ...

We consider the nonlinear system of equations that results from the Van Leer flux vector-splitting discretization of the one dimensional Euler equations. This nonlinear system is linearized at the ...

Abstract: In the past few years, the growing demand for power has led to a substantial emphasis on optimizing distribution networks (DNs) along with distributed generations. The optimal placement of ...