Computational Methods in Power System Analysis

Idema, Reijer; Lahaye, Domenico

doi:10.2991/978-94-6239-064-5

Cited by 18 publications

(14 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The power flow or load flow problem is the problem of computing the voltage magnitude |V i | and angle δ i in each bus of a power system where the power generation and consumption are specified. Over the years, various power flow solution techniques [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] have been developed on transmission networks. Gauss-Seidel (G-S), Newton power flow (N-R) and Fast Decoupled Load Flow (FDLF) based algorithms are the most widely used methods for the solution of transmission power flow problems.…”

Section: Introductionmentioning

confidence: 99%

“…Depending on problem formulations (power or current mismatch) and coordinates (polar, Cartesian and complex form), the Newton-Raphson method can be applied in six different ways as a solution method for power flow problems. These six versions of the Newton power flow method are considered as the fundamental Newton power flow methods from which the further modified versions [8][9][10][11][12][13][14][15] are derived. Table 1 shows the previously published papers considering each variation of the Newton power flow method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On a comparison of Newton–Raphson solvers for power flow problems

Sereeter

Vuik

Witteveen

2019

Journal of Computational and Applied Mathematics

View full text Add to dashboard Cite

A general framework is given for applying the Newton-Raphson method to solve power flow problems, using power and current-mismatch functions in polar, Cartesian coordinates and complex form. These two mismatch functions and three coordinates, result in six possible ways to apply the Newton-Raphson method for the solution of power flow problems. We present a theoretical framework to analyze these variants for load (PQ) buses and generator (PV) buses. Furthermore, we compare newly developed versions in this paper with existing variants of the Newton power flow method. The convergence behavior of all methods is investigated by numerical experiments on transmission and distribution networks. We conclude that variants using the polar current-mismatch and Cartesian current-mismatch functions that are developed in this paper, performed the best result for both distribution and transmission networks.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On a comparison of Newton–Raphson solvers for power flow problems

Sereeter

Vuik

Witteveen

2019

Journal of Computational and Applied Mathematics

View full text Add to dashboard Cite

show abstract

“…Remark We note that the choices for { η k } in Theorem extend the ones in , in particular, for the case of Q‐linear convergence theory.…”

Section: Feasible Projected Newton–krylov Methodsmentioning

confidence: 76%

“…We start by giving our feasible projected Newton–Krylov method as follows. We remark that the forcing term { η k } in our feasible projected Newton–Krylov method can be chosen according to the strategy for inexact Newton method without projection in , because the nonexpansiveness of the projection operator does not affect the local convergence of the projected Newton method. Thus, inequality (5) is always satisfied as iterative point x k is close enough to the solution of F ( x ) on Ω, see Theorem stated in the succeeding text.…”

Section: Feasible Projected Newton–krylov Methodsmentioning

confidence: 99%

Globalization technique for projected Newton–Krylov methods

Chen

Vuik

2016

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYLarge-scale systems of nonlinear equations appear in many applications. In various applications, the solution of the nonlinear equations should also be in a certain interval. A typical application is a discretized system of reaction diffusion equations. It is well known that chemical species should be positive otherwise the solution is not physical and in general blow up occurs. Recently, a projected Newton method has been developed, which can be used to solve this type of problems. A drawback is that the projected Newton method is not globally convergent. This motivates us to develop a new feasible projected Newton-Krylov algorithm for solving a constrained system of nonlinear equations. Combined with a projected gradient direction, our feasible projected Newton-Krylov algorithm circumvents the non-descent drawback of search directions which appear in the classical projected Newton methods. Global and local superlinear convergence of our approach is established under some standard assumptions. Numerical experiments are used to illustrate that the new projected Newton method is globally convergent and is a significate complementarity for Newton-Krylov algorithms known in the literature.

show abstract

“…Firstly, the general impedance law was described by equations (1) to (3) below [8], Where: Y is the admittance. Z is the impedance (reciprocal of admittance).…”

Section: Mathematical Algorithmsmentioning

confidence: 99%

The effect of vascular diseases on bioimpedance measurements: mathematical modeling

2018

View full text Add to dashboard Cite

Introduction: The non-invasive nature of bioimpedance technique is the reason for the adoption of this technique in the wide field of bio-research. This technique is useful in the analysis of a variety of diseases and has many advantages. Cardiovascular diseases are the most dangerous diseases leading to death in many regions of the world. Vascular diseases are disorders that affect the arteries and veins. Most often, vascular diseases have greater impacts on the blood flow, either by narrowing or blocking the vessel lumen or by weakening the vessel wall. The most common vascular diseases are atherosclerosis, wall swelling (aneurysm), and occlusion. Atherosclerosis is a disease caused by the deposition of plaques on the inner vessel wall, while a mural aneurysm is formed as a result of wall weakness. The main objective of this study was to investigate the effects of vascular diseases on vessel impedance. Furthermore, this study aimed to develop the measurement of vessel abnormalities as a novel method based on the bioimpedance phenomenon. Methods: Mathematical models were presented to describe the impedance of vessels in different vascular cases. In addition, a 3D model of blood vessels was simulated by COMSOL MULTIPHYSICS.5, and the impedance was measured at each vascular condition. Results: The simulation results clarify that the vascular disorders (stenosis, blockage or aneurysm) have significant impact on the vessel impedance, and thus they can be detected by using the bio-impedance analysis. Moreover, using frequencies in KHz range is preferred in detecting vascular diseases since it has the ability to differentiate between the healthy and diseased blood vessel. Finally, the results can be improved by selecting an appropriate electrodes configuration for analysis. Conclusion: From this work, it can be concluded that bioimpedance analysis (BIA) has the ability to detect vascular diseases. Furthermore, the proposed mathematical models are successful at describing different cases of vascular disorders.

show abstract

Computational Methods in Power System Analysis

Cited by 18 publications

References 0 publications

On a comparison of Newton–Raphson solvers for power flow problems

On a comparison of Newton–Raphson solvers for power flow problems

Globalization technique for projected Newton–Krylov methods

The effect of vascular diseases on bioimpedance measurements: mathematical modeling

Contact Info

Product

Resources

About