Computationally Efficient Optimal Control for Unstable Power System Models

In this article, the focus is mainly on gaining the optimal control for the unstable power system models and stabilizing them through the Riccati-based feedback stabilization process with sparsity-preserving techniques. We are to find the solution of the Continuous-time Algebraic Riccati Equations (...

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Autores principales:	Mahtab Uddin, M. Monir Uddin, Md. Abdul Hakim Khan
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e3b9d68a237e484485a935c719e66556
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spelling	oai:doaj.org-article:e3b9d68a237e484485a935c719e665562021-11-22T01:09:45ZComputationally Efficient Optimal Control for Unstable Power System Models1563-514710.1155/2021/8071869https://doaj.org/article/e3b9d68a237e484485a935c719e665562021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8071869https://doaj.org/toc/1563-5147In this article, the focus is mainly on gaining the optimal control for the unstable power system models and stabilizing them through the Riccati-based feedback stabilization process with sparsity-preserving techniques. We are to find the solution of the Continuous-time Algebraic Riccati Equations (CAREs) governed from the unstable power system models derived from the Brazilian Inter-Connected Power System (BIPS) models, which are large-scale sparse index-1 descriptor systems. We propose the projection-based Rational Krylov Subspace Method (RKSM) for the iterative computation of the solution of the CAREs. The novelties of RKSM are sparsity-preserving computations and the implementation of time-convenient adaptive shift parameters. We modify the Low-Rank Cholesky-Factor integrated Alternating Direction Implicit (LRCF-ADI) technique-based nested iterative Kleinman–Newton (KN) method to a sparse form and adjust this to solve the desired CAREs. We compare the results achieved by the Kleinman–Newton method with that of using the RKSM. The applicability and adaptability of the proposed techniques are justified numerically with MATLAB simulations. Transient behaviors of the target models are investigated for comparative analysis through the tabular and graphical approaches.Mahtab UddinM. Monir UddinMd. Abdul Hakim KhanHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Mahtab Uddin M. Monir Uddin Md. Abdul Hakim Khan Computationally Efficient Optimal Control for Unstable Power System Models
description	In this article, the focus is mainly on gaining the optimal control for the unstable power system models and stabilizing them through the Riccati-based feedback stabilization process with sparsity-preserving techniques. We are to find the solution of the Continuous-time Algebraic Riccati Equations (CAREs) governed from the unstable power system models derived from the Brazilian Inter-Connected Power System (BIPS) models, which are large-scale sparse index-1 descriptor systems. We propose the projection-based Rational Krylov Subspace Method (RKSM) for the iterative computation of the solution of the CAREs. The novelties of RKSM are sparsity-preserving computations and the implementation of time-convenient adaptive shift parameters. We modify the Low-Rank Cholesky-Factor integrated Alternating Direction Implicit (LRCF-ADI) technique-based nested iterative Kleinman–Newton (KN) method to a sparse form and adjust this to solve the desired CAREs. We compare the results achieved by the Kleinman–Newton method with that of using the RKSM. The applicability and adaptability of the proposed techniques are justified numerically with MATLAB simulations. Transient behaviors of the target models are investigated for comparative analysis through the tabular and graphical approaches.
format	article
author	Mahtab Uddin M. Monir Uddin Md. Abdul Hakim Khan
author_facet	Mahtab Uddin M. Monir Uddin Md. Abdul Hakim Khan
author_sort	Mahtab Uddin
title	Computationally Efficient Optimal Control for Unstable Power System Models
title_short	Computationally Efficient Optimal Control for Unstable Power System Models
title_full	Computationally Efficient Optimal Control for Unstable Power System Models
title_fullStr	Computationally Efficient Optimal Control for Unstable Power System Models
title_full_unstemmed	Computationally Efficient Optimal Control for Unstable Power System Models
title_sort	computationally efficient optimal control for unstable power system models
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/e3b9d68a237e484485a935c719e66556
work_keys_str_mv	AT mahtabuddin computationallyefficientoptimalcontrolforunstablepowersystemmodels AT mmoniruddin computationallyefficientoptimalcontrolforunstablepowersystemmodels AT mdabdulhakimkhan computationallyefficientoptimalcontrolforunstablepowersystemmodels
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Computationally Efficient Optimal Control for Unstable Power System Models

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