Analytic loss minimization: theoretical framework of a second order optimization method
type: Item
instance of: scholarly article
title: Analytic loss minimization: theoretical framework of a second order optimization method
zbMATH Open document ID: 1418.90053
published in: Symmetry
publication date: 2019-07-10T00:00:00Z
review text: Summary: In power engineering, the \(Y_{b u s}\) is a symmetric \(N \times N\) square matrix describing a power system network with \(N\) buses. By partitioning, manipulating and using its symmetry properties, it is possible to derive the \(K_{G L}\) and \(Y_{G G M}\) matrices, which are useful to define a loss minimisation dispatch for generators. This article focuses on the case of constant-current loads and studies the theoretical framework of a second order optimization method for analytic loss minimization by taking into account the symmetry properties of \(Y_{b u s}\). We define an appropriate matrix functional of several variables with complex elements and aim to obtain the minimum values of generator voltages.
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 90B90
zbMATH DE Number: 7078104
zbMATH Keywords: symmetric matrix
zbMATH Keywords: network
zbMATH Keywords: complex derivatives
zbMATH Keywords: system
zbMATH Keywords: loss minimization
author: Ioannis K. Dassios
MaRDI profile type: Publication
full work available at URL: sym11020136
OpenAlex ID: W2912044994
cites work: Laplacian matrices of graphs: A survey
cites work: A Preconditioner for A Primal-Dual Newton Conjugate Gradient Method for Compressed Sensing Problems
cites work: Optimal solutions for singular linear systems of Caputo fractional differential equations
Wikidata QID: Q128502356
DOI: 10.3390/SYM11020136
description: scientific article; zbMATH DE number 7078104