This paper proposes a backward/forward sweep method to analyze the power flow in radial distribution systems. The distribution system has radial structure and high R/X ratios. So the newton-raphson and fast decoupled methods are failed with distribution system. The proposed method presents a load flow study using backward/forward sweep method, which is one of the most effective methods for the ...

Numerical methods are used to approximate solutions of equations when exact can not be determined via algebraic methods. They construct successive approximations that converge the solution an equation or system equations. The aim this paper is find roots Non-linear Equations Numerically using Newton’s Raphson Method by A New Mathematical Technique. We followed applied mathematical method a new ...

Introduction we aimed to introduce a 6-universal-prismatic-spherical (UPS) parallel mechanism for the human jaw motion and theoretically evaluate its kinematic problem. We proposed a strategy to provide a fast and accurate solution to the kinematic problem. The proposed strategy could accelerate the process of solution-finding for the direct kinematic problem by reducing the number of required ...

Feature tracking algorithms usually rely on operators for identifying regions of interest. One of these commonly used operators is to identify parallel vectors introduced by Peikert and Roth. In this paper, we propose a new and improved method for finding parallel vectors in 3D vector fields. Our method uses a two-stage approach where in the first stage we extract solution points from 2D faces ...

Nonlinear analysis of anisotropic structures is described by using Hill’s yield criterion that anisotropic yield contour is assumed to be retained its shape during the hardening process. Nonlinear constitutive equation of anisotropic material is derived using plastic potential concept. Linear strain hardening model is utilized and forward Euler method is employed as a stress integration method....

We present a new, to our knowledge, method for extracting optical properties from integrating sphere measurements on thin biological samples. The method is based on multivariate calibration techniques involving Monte Carlo simulations, multiple polynomial regression, and a Newton-Raphson algorithm for solving nonlinear equation systems. Prediction tests with simulated data showed that the mean ...

A simple and elegant method is presented to perform anti-aliasing in ray traced images. The method uses stratified sampling to reduce the occurrence of artifacts in an image and features a B-spline filter to compute the final luminous intensity at each pixel. The method is scalable through the specification of the filter order. A B-spline filter of order one amounts to a simple anti-aliasing sc...

We compare the performance of the fully coupled Newton–Raphson method with the sequential iteration approach (SIA) for solving the implicit time stepping equations of reactive transport modeling. We formulate the implicit time stepping equations for a demonstration model that incorporates homogeneous equilibrium reactions, i.e. carbonate hydrolysis, and a heterogeneous equilibrium reaction, i.e...