Oil and gas pipelines are the main channel to ensure national energy security economic development due safety efficiency of transportation coast. To achieve an optimal state pipeline operation in terms is crucial important issue throughout life cycle a system. However, optimization problem network system typical Mixed Integer Non-Linear Problem (MINLP) which extremely difficult solve. An soluti...

You recklessly told your boss that solving a non-linear system of size n (n unknowns and n equations) requires a time proportional to n, as you were not very attentive during algorithmic complexity lectures. So now, you have only one night to solve a problem of big size (e.g., 1000 equations/unknowns), otherwise you will be fired in the next morning. The system is well-constrained and structura...

the stability analysis of islanded inverter-based microgrids (ibmgs) is increasingly an important and challenging topic due to the nonlinearity of ibmgs. in this paper, a new linear model for such microgrids as well as an iterative method to correct the linear model is proposed. using the linear model makes it easy to analyze the eigenvalues and stability of ibmgs due to the fact that it derive...

The solution of an integral equation arising in a covariance factorization problem is obtained by a Newton-Raphson iteration that is almost always globally convergent. Interpretations of the iterates are given, and the result is shown to specialize to known algorithms when the covariance is stationary with a rational Fourier transform.

This paper is concerned with the development of a fully implicit and purely Eulerian fluid-structure interaction method tailored for the modeling of the large deformations of elastic membranes in a surrounding Newtonian fluid. We consider a simplified model for the mechanical properties of the membrane, in which the surface strain energy depends on the membrane stretching. The fully Eulerian de...

The aim of this article is to present a brief review and numerical comparison iterative methods applied solve the polynomial equations with real coefficients. In paper, four are compared, namely: Horner’s method, Synthetic division Chebyshev method (Proposed Method), Modified Newton Raphson Birge-Vieta which will helpful readers understand importance usefulness these methods.

Recently, policies for carbon reduction are being implemented worldwide to solve environmental and energy consumption problems. Minimum Energy Performance Standard (MEPS) is a policy reducing by regulating the efficiency of industrial induction motors. The motors have low manufacturing cost simple structure, it can be operated without control great advantages in maintenance so applied various f...